From 9f9a1cfdac691a404883e34b3909287936b75efe Mon Sep 17 00:00:00 2001
From: ayushhimmatsinghka
<106641708+ayushhimmatsinghka@users.noreply.github.com>
Date: Thu, 16 Jun 2022 23:06:54 +0530
Subject: [PATCH 1/8] Add files via upload
---
210245_AYUSH_1.ipynb | 2240 ++++++++++++++++++++++++++++++++++++++++++
1 file changed, 2240 insertions(+)
create mode 100644 210245_AYUSH_1.ipynb
diff --git a/210245_AYUSH_1.ipynb b/210245_AYUSH_1.ipynb
new file mode 100644
index 0000000..e18a4bc
--- /dev/null
+++ b/210245_AYUSH_1.ipynb
@@ -0,0 +1,2240 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "0605c832",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np \n",
+ "import pandas as pd\n",
+ "import matplotlib as mpl\n",
+ "import matplotlib.pyplot as plt\n",
+ "import sys\n",
+ "import seaborn as sns\n",
+ "from math import sqrt\n",
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "9acae107",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df = pd.read_csv('Dataset.csv')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "fc052a38",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Columns names:-\n",
+ "['CUST_ID', 'BALANCE', 'BALANCE_FREQUENCY', 'PURCHASES', 'ONEOFF_PURCHASES', 'INSTALLMENTS_PURCHASES', 'CASH_ADVANCE', 'PURCHASES_FREQUENCY', 'ONEOFF_PURCHASES_FREQUENCY', 'PURCHASES_INSTALLMENTS_FREQUENCY', 'CASH_ADVANCE_FREQUENCY', 'CASH_ADVANCE_TRX', 'PURCHASES_TRX', 'CREDIT_LIMIT', 'PAYMENTS', 'MINIMUM_PAYMENTS', 'PRC_FULL_PAYMENT', 'TENURE']\n"
+ ]
+ }
+ ],
+ "source": [
+ "columns_names=df.columns.tolist()\n",
+ "print(\"Columns names:-\")\n",
+ "print(columns_names)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "44dfdd5e",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(8950, 18)"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "48026d16",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df.drop('CUST_ID', axis=1,inplace=True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "7d8489ae",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "
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+ "\n",
+ "
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+ " \n",
+ " \n",
+ " | \n",
+ " BALANCE | \n",
+ " BALANCE_FREQUENCY | \n",
+ " PURCHASES | \n",
+ " ONEOFF_PURCHASES | \n",
+ " INSTALLMENTS_PURCHASES | \n",
+ " CASH_ADVANCE | \n",
+ " PURCHASES_FREQUENCY | \n",
+ " ONEOFF_PURCHASES_FREQUENCY | \n",
+ " PURCHASES_INSTALLMENTS_FREQUENCY | \n",
+ " CASH_ADVANCE_FREQUENCY | \n",
+ " CASH_ADVANCE_TRX | \n",
+ " PURCHASES_TRX | \n",
+ " CREDIT_LIMIT | \n",
+ " PAYMENTS | \n",
+ " MINIMUM_PAYMENTS | \n",
+ " PRC_FULL_PAYMENT | \n",
+ " TENURE | \n",
+ "
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+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " 40.900749 | \n",
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+ "
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+ " \n",
+ " | 2 | \n",
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+ " \n",
+ " | 3 | \n",
+ " 1666.670542 | \n",
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+ " 1499.00 | \n",
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+ " 205.788017 | \n",
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+ " 817.714335 | \n",
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+ "
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+ "
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+ ],
+ "text/plain": [
+ " BALANCE BALANCE_FREQUENCY PURCHASES ONEOFF_PURCHASES \\\n",
+ "0 40.900749 0.818182 95.40 0.00 \n",
+ "1 3202.467416 0.909091 0.00 0.00 \n",
+ "2 2495.148862 1.000000 773.17 773.17 \n",
+ "3 1666.670542 0.636364 1499.00 1499.00 \n",
+ "4 817.714335 1.000000 16.00 16.00 \n",
+ "\n",
+ " INSTALLMENTS_PURCHASES CASH_ADVANCE PURCHASES_FREQUENCY \\\n",
+ "0 95.4 0.000000 0.166667 \n",
+ "1 0.0 6442.945483 0.000000 \n",
+ "2 0.0 0.000000 1.000000 \n",
+ "3 0.0 205.788017 0.083333 \n",
+ "4 0.0 0.000000 0.083333 \n",
+ "\n",
+ " ONEOFF_PURCHASES_FREQUENCY PURCHASES_INSTALLMENTS_FREQUENCY \\\n",
+ "0 0.000000 0.083333 \n",
+ "1 0.000000 0.000000 \n",
+ "2 1.000000 0.000000 \n",
+ "3 0.083333 0.000000 \n",
+ "4 0.083333 0.000000 \n",
+ "\n",
+ " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX PURCHASES_TRX CREDIT_LIMIT \\\n",
+ "0 0.000000 0 2 1000.0 \n",
+ "1 0.250000 4 0 7000.0 \n",
+ "2 0.000000 0 12 7500.0 \n",
+ "3 0.083333 1 1 7500.0 \n",
+ "4 0.000000 0 1 1200.0 \n",
+ "\n",
+ " PAYMENTS MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n",
+ "0 201.802084 139.509787 0.000000 12 \n",
+ "1 4103.032597 1072.340217 0.222222 12 \n",
+ "2 622.066742 627.284787 0.000000 12 \n",
+ "3 0.000000 NaN 0.000000 12 \n",
+ "4 678.334763 244.791237 0.000000 12 "
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "c4fc0638",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x = df[\"MINIMUM_PAYMENTS\"].mean()\n",
+ "\n",
+ "df[\"MINIMUM_PAYMENTS\"].fillna(x, inplace = True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "c51c814b",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x = df[\"CREDIT_LIMIT\"].mean()\n",
+ "\n",
+ "df[\"CREDIT_LIMIT\"].fillna(x, inplace = True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "e05fc0c7",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
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+ ""
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+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ "output_type": "display_data"
+ },
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+ "output_type": "display_data"
+ },
+ {
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\n",
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+ "output_type": "display_data"
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
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FHBg8e3HQytW7tQ8PRpjlB+7qjnLQQUmLjd1Qc2S/Ax+/60xiuLtpMBgh7H57rdcxJC0mnlnMoeEzicl3SQ26qpZPuo7xnlf+t11nGZ5xSBpXnlnMseEziWFT3Wq7/KBDph3m3DMPSePEsJhHk7uqBmcb+x90CPsfdMhuATExMcELz/1btm7dutsQIjt37jREJM07w2KeDbqqfm3TtTz80Nd3nW1UFV/60pd2BcTExARJdj2rMei2uvPOO73uIWneLZqwSHJSktuSbElyzkLX81gMd1UNHuwb3FG1Y+fOXWGyfccOlh34+F1hMbjesV9r27p1Ky8892+54447eOCBBx4VHNOFiSEjaU8tigvcSZYBbweeDdwFXJfk8qr63MJWNrcGwbH84EPZ+Z1lbP/mtinfBT7ctmPnTl7y1r/n4JWredyyZbz1tGM57LDDSMK2bdv41b/4KO848ydZsWIF8MiF9l9718f4379yPIcddtiu0BhcXJ/NfBJWrlxJkt3CJwlJOOyww9i2bdtuF+0H3WuDtuF56C76D7YDL/hL42RRhAVwHLClqr4IkORi4BRgJGHx3W8/xI6dO/jut77R3dn08ENd+6T5qdpGsc3g1a0PT9zHy96xleUHHczB+x8EsNt+tz/8EL/0J5cAcPDKVez8t4fZsXMHv/Qnl+yaf/ihbwCw/KCDeen51+zWNnmdmeaXH3gw7375z7NixQomJiY4/dxL2bFjBwevXMWyZcv441PX8cq/+ifedfbJu4XBmW+7Ylfb8DzAmW+7gje9+Jn8zqU3AOwWcpJmZ+XKlSPZbxZDV0SSU4GTqupX2vyLgadX1dlD62wENrbZHwBuewxfeQTw1cew/XxZLHXC4ql1sdQJi6fWxVInLJ5aR1Xn91XVqqkWLJYzi15VdT5w/lzsK8nmqlo/F/sapcVSJyyeWhdLnbB4al0sdcLiqXUh6lwsF7jvBo4emn9Ca5MkzYPFEhbXAWuTHJNkf2ADcPkC1yRJ+4xF0Q1VVduTnA1cCSwDNlXVLSP8yjnpzpoHi6VOWDy1LpY6YfHUuljqhMVT67zXuSgucEuSFtZi6YaSJC0gw0KS1MuwGDLuQ4ok2ZrkpiQ3JNnc2g5PclWS29vP0TyRM3Ndm5Lcl+TmobYp60rnLe0Y35jk2DGo9XVJ7m7H9YYkJw8te3Wr9bYkJ85jnUcn+UiSzyW5JcnLW/tYHdcZ6hzHY3pgkk8n+Wyr9fdb+zFJPtVqem+7iYYkB7T5LW35mjGo9d1J7hg6ruta++h//wcjmu7rH7oL5/8KPAnYH/gs8JSFrmtSjVuBIya1/QlwTps+B/jjBajrJ4BjgZv76gJOBv4RCPAM4FNjUOvrgN+eYt2ntD8HBwDHtD8fy+apziOBY9v0ocAXWj1jdVxnqHMcj2mAQ9r0cuBT7VhdAmxo7e8Afr1Nvwx4R5veALx3Hv+cTlfru4FTp1h/5L//nlk8YteQIlX1b8BgSJFxdwpwQZu+AHjefBdQVdcCD0xqnq6uU4ALq/NJYEWSI+elUKatdTqnABdX1Xeq6g5gC92fk5Grqnuq6jNt+hvArcBRjNlxnaHO6SzkMa2q+mabXd4+Bfw0cGlrn3xMB8f6UuCEZH4GK5uh1umM/PffsHjEUcCXh+bvYuY/9AuhgA8lub4NbwKwuqruadNfAVZPvem8m66ucT3OZ7fT901DXXljUWvr/vgRuv9dju1xnVQnjOExTbIsyQ3AfcBVdGc2E1W1fYp6dtXalm8D/v1C1VpVg+P6+nZc35zkgMm1NnN+XA2LxeVZVXUs8FzgrCQ/MbywuvPRsbsXelzrGnIe8GRgHXAP8MYFrWZIkkOA9wGvqKqvDy8bp+M6RZ1jeUyrakdVraMbBeI44D8tbEXTm1xrkqcBr6ar+UeBw4Hfma96DItHjP2QIlV1d/t5H/ABuj/s9w5ON9vP+xauwt1MV9fYHeequrf9xdwJvJNHukUWtNYky+n+Ab6oqt7fmsfuuE5V57ge04GqmgA+AvwYXZfN4AHl4Xp21dqWHwZ8bX4r3a3Wk1q3X1XVd4C/ZB6Pq2HxiLEeUiTJ45McOpgGngPcTFfjGW21M4DLFqbCR5mursuB09vdG88Atg11qyyISX27z6c7rtDVuqHdFXMMsBb49DzVFOBdwK1V9aahRWN1XKerc0yP6aokK9r0QXTvx7mV7h/iU9tqk4/p4FifClzTzuYWqtbPD/1HIXTXVoaP62h//+f6ivli/tDdUfAFun7M1yx0PZNqexLdXSSfBW4Z1EfXh3o1cDvwYeDwBajtPXRdDd+l6ys9c7q66O7WeHs7xjcB68eg1r9qtdzY/tIdObT+a1qttwHPncc6n0XXxXQjcEP7nDxux3WGOsfxmP5n4F9aTTcDv9fan0QXWFuAvwEOaO0HtvktbfmTxqDWa9pxvRn4Pzxyx9TIf/8d7kOS1MtuKElSL8NCktTLsJAk9TIsJEm9DAtJUi/DQpLUy7DQkpJkRxu6+eYkf5Pk4CRrMjQkeVvvdUl+u00PD/v82SQnDK13XJJr0w2n/S9J/qLt85eTvG3SPj+aZP3Q/LokleSkSeu9pg07fWP7zqcPbX/b0PDTl7b2H2jLbkhya5IpX6mZ5MShbb85tK8LkxyfZFub/3ySc4e2e2WSTUPzL0ryD3tz/LV0LYp3cEt74NvVjadDkouAXwPeP+MWnVdV1aVJforu/cZrk6ymeyhrQ1X9c9vnqXRDcc/GacAn2s8Ptu1/DPg5umG9v5PkCLoh8QdeVFWbJ+3nLcCbq+qyto8fmurLqupKuvfUk+SjdEOED957cjzw8ar6ufZE8L8k+UBV/VPb/+Ykz6R74POPgBMe/Q3alxkWWso+Tvck7J74Zx4ZrfMs4IJBUABU1eB/+zPupA3H8It0wzR8PMmBVfUw3fsfvlrd2D5U1VdnUdORdE+bD2q4ada/milU1bfTjWZ6VJvfnuRlwJ/TPam8qaq++Fi+Q0uP3VBaktrAb8+lG/pgT5wE/G2bfhpw/QzrvnCo2+cGYP3Qsh8H7qiqfwU+Cvxsa/8QcHSSLyT58yQ/OWmfFw3t809b25uBa5L8Y5LfHIwZtLfSDRe+Frh20FZV/5dunKSfoXvBkrQbw0JLzUHtH+7NwJfoBrmbbkyb4fY/TfIF4K+BP57ld723qtYNPu07B06je4EW7edpANW90Oa/ABuB+4H3Jvnloe1eNLTPV7Vt/hL4QbouseOBT+aR9xjsif+a5LN0o5FeWVVfGSxIN8T4erqX7Kzai31riTMstNR8e+gf29+o7q2HXwMmv5v8cGC4C+hVVfX9dO8HGFzsvYXuH/Y9kmQZ8N+B30uyFXgrcFLaqMHVDd390ap6LXB2W3dGVfX/qmpTVZ0CbKc769lTH6+qHwaeCpyZ9v7m5vfpBqZ7Pd2ZjLQbw0JLXvvf/D1JfhogyeF03U2fmGL1twGPS3Jimz5jcLdS2/YX2oXvmZwA3FhVR1fVmqr6Prr3PTy/3dm0dmjddcCdM+0syUnp3hlBkv9AN/LsXr+roLrXmb6B9uKcdsH8Z+nOqM4H1iR59t7uX0uTF7i1rzgdeHuSwTsXfr9dT9hNVVWSPwL+Z1WdkGQDcG6S7wF20vXzf7Dnu06jeznVsPcBv053tvLWdt1hO93w1xuH1rsoybfb9Fer6mfo3l3yv5I83NpfNdyFtJfeAfx2undKnAf8ZrsAT5JfBy5Msq6dmUkOUS5J6mc3lCSpl91Q0iLUrqlMvmvrjqp6/kLUo6XPbihJUi+7oSRJvQwLSVIvw0KS1MuwkCT1+v94sMQJRxYqkQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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IeKL8nFfKIyIuj4iRiHgwIk5od8ydsPPLe+fnoDct7HRIkvpYJxqltwN/nJnHAO8CzouIY4BVwB2ZuQS4o8wDnAIsKZ+VwJXtD1mS+lvbk0VmbsrM+8v0i8BjwAJgBbCmrLYGOK1MrwCuzZq7gYGImN/eqCWpv3X0dpeIWAS8HbgHODwzN5VFzwCHl+kFwNN1m42WsrH7WhkR6yJi3ZYtW1oXtCT1oY51cEfEQcDfAhdk5k8iYteyzMyIyKnsLzNXA6sBli5dOqVt1X6N3pcBvhtD6lYdSRYR8TpqieK6zPxqKX42IuZn5qbSzLS5lG8EjqjbfGEpUw9r9L4M340hda+2J4uoXUJcDTyWmf+zbtFa4CzgU+XnrXXl50fEDcA7gRfqmqvUw8a+L0NS9+rElcV7gN8FHoqIB0rZf6aWJG6MiHOADcDpZdltwKnACPAScHZbo9WEGj1ACDYnSTNN25NFZv4jEOMsPqnB+gmc19KgNG2NHiBsZnNSo74NE5HUfj7BPYZfTlM39unvsRr9Tic7fMnYvg37NaTOMFmM4ZdT8zXqzJ7K8CX2bUidZ7JoYCZ9OXXLiLJjf6eOPSX1FpPFDOeIspKawWTRBxxRVtK+8u02kqRKJgtJUiWThSSpkslCklTJDm51jW65zVfS3kwW6hqTuc13X8ai8ul8afpMFuoqVbf57stYVD6dL02fyUI9p2osqonMpKfzpXayMViSVMkrC81I+zLSraS9mSwqeIdO9xvvHF3zj+uZd8SSXWWOiSVNn8miggPxdb+JztFUx8RqdEUC3jUlmSwmwYH4ul+zzlGjd29415RkspD24h1T0t5MFupb+9IfNZkH/GzS0kxislDfmmx/1GQ60Bs1VTWzScvEo04zWaivTaavYzId6OMllIN/7uimNGlNN/GYZNQsJgtpEqYzDMlk75ob+4X+yiuvADB79uxdZdNNPHbYq1l6JllExMnA54BZwBcy81MdDknaw3TvyBr7hT56/3eYNfdQ5i/5pV3rTLZ5bGyiaZRkpjsYo1cp/a0nkkVEzAL+Evg1YBQYioi1mfloZyNTI2O/jHyIsVr9HVhbR0fYf2D+NJvH9kw0jZJMo+2e3/B9znnvMMcdd9yuskaJZ+yDjl6l9I+eSBbAicBIZq4HiIgbgBVAS5JF/T/Mn24eZdbLL7PloDfsc1k/7Atg04P/xKf/+SfM+9bDADy3/mEGjjqW/faLroq1E/vaOjrC8PAO6g0PD7N19KnpxTD3UKq8uGl95XYv/egZPv3XP9h1zqB23mYdOJd5839+1/zAUcfutf9GVynqnFYl7sjMluy4mSLiI8DJmfn7Zf53gXdm5vl166wEVpbZXwAen+bhDgOe24dwu4l16U4zpS4zpR5gXXb6+cwcbLSgV64sKmXmamD1vu4nItZl5tImhNRx1qU7zZS6zJR6gHWZjF5pSN4IHFE3v7CUSZLaoFeSxRCwJCKOjIgDgDOAtR2OSZL6Rk80Q2Xm9og4H/gGtVtnr8nMR1p0uH1uyuoi1qU7zZS6zJR6gHWp1BMd3JKkzuqVZihJUgeZLCRJlUwWdSLi5Ih4PCJGImJVp+NpJCJ+GBEPRcQDEbGulB0SEbdHxBPl57xSHhFxeanPgxFxQt1+zirrPxERZ7Up9msiYnNEPFxX1rTYI+Id5XczUrYNWmScunwyIjaWc/NARJxat+wTJa7HI+KDdeUN/+bKzRz3lPIvlxs7WlGPIyLizoh4NCIeiYiPl/KeOy8T1KUXz8uciLg3IoZLXS6Z6PgRMbvMj5Tli6Zbx3Flpp9av80s4EngKOAAYBg4ptNxNYjzh8BhY8r+HFhVplcBny7TpwJ/DwTwLuCeUn4IsL78nFem57Uh9vcCJwAPtyJ24N6ybpRtT2lzXT4J/KcG6x5T/p5mA0eWv7NZE/3NATcCZ5Tpq4D/2KJ6zAdOKNNzgR+UeHvuvExQl148LwEcVKZfB9xTfocNjw+cC1xVps8AvjzdOo738cpit11DimTmz4CdQ4r0ghXAmjK9BjitrvzarLkbGIiI+cAHgdsz8/nM/DFwO3Byq4PMzO8Cz7ci9rLs4My8O2v/Sq6t21e76jKeFcANmflKZj4FjFD7e2v4N1f+5/1+4Kayff3vpakyc1Nm3l+mXwQeAxbQg+dlgrqMp5vPS2bmT8vs68onJzh+/fm6CTipxDulOk4Uk8litwXA03Xzo0z8h9YpCXwzIu6L2hAnAIdn5qYy/QxweJker07dVNdmxb6gTI8tb7fzS/PMNTubbph6XQ4Ftmbm9jHlLVWaLt5O7X+xPX1extQFevC8RMSsiHgA2Ewt+T45wfF3xVyWv1Dibdp3gMmi9/xKZp4AnAKcFxHvrV9Y/vfWk/dD93LsxZXA0cDxwCbgf3Q0mimIiIOAvwUuyMyf1C/rtfPSoC49eV4yc0dmHk9txIoTgV/sZDwmi916YkiRzNxYfm4Gbqb2R/Rsudyn/NxcVh+vTt1U12bFvrFMjy1vm8x8tvwDfw34K2rnBqZelx9Ra97Zf0x5S0TE66h9uV6XmV8txT15XhrVpVfPy06ZuRW4E3j3BMffFXNZ/sYSb/O+A1rROdOLH2pPs6+n1gm0s8PnrZ2Oa0yMbwDm1k3/M7W+hr9gz87IPy/Tv8GenZH3lvJDgKeodUTOK9OHtKkOi9izU7hpsbN3R+qpba7L/LrpP6LWVgzwVvbsZFxPrYNx3L854Cvs2ZF5bovqENT6ES4bU95z52WCuvTieRkEBsr0gcBdwIfGOz5wHnt2cN843TqOG1Mr/zH12ofanR4/oNY2eFGn42kQ31HlpA4Dj+yMkVrb5B3AE8C36v6RBrWXRj0JPAQsrdvX71Hr7BoBzm5T/NdTawZ4lVob6TnNjB1YCjxctvk8ZYSCNtblr0usD1Ibu6z+S+qiEtfj1N0NNN7fXDnX95Y6fgWY3aJ6/Aq1JqYHgQfK59RePC8T1KUXz8uxwPdKzA8D/2Wi4wNzyvxIWX7UdOs43sfhPiRJleyzkCRVMllIkiqZLCRJlUwWkqRKJgtJUiWThSSpkslCfSci/k1E3BART5Yxtm6LiLdExMtlCOtHI+La8jQwEfG+iHihbojrByLiA2XZjjL/SBlO+o8jYr+67b4WEWfXbfez2D3E/KfGie9jEfH5BuU/jIjDynRGxN/ULds/IrZExNfq9xERF9Ude0fd9B82/zermawn3sEtNUsZifNmYE1mnlHKjqM2UN6TmXl8RMyiNnDb6cB1ZdO7MvNDDXb5ctbG7yEi3gT8H+Bg4OKdK2TmF4EvlnV+CPxqZj63j1X5V+BtEXFgZr4M/BoNhmvIzEuBS8uxf7ozVmmqvLJQv/lV4NXMvGpnQWYOUzcCZ2buoPYU7JRGFM3aeF0rqY1w2rIXL9W5jdrwGwBnUnuqXGoJk4X6zduA+yZaISLmAO8Evl5XvHxMM9TRjbbNzJ1j77ypWQFP4AbgjBLvsewejltqOpuhpN2OLu8POBL4v5n5YN2y8ZqhOiYzHyzvbTiT2lWG1DJeWajfPAK8Y5xlT5Y2/aOBd0TEh6e684g4CtjB7iG9W20t8BlsglKLmSzUb74NzK57yyARcSx1Y/uXzudVwCemsuOIGKQ2bPTns30jdF4DXJKZD7XpeOpTJgv1lfIl/pvAB8qts48A/53aq0Pr3QK8PiKWl/mxfRYfKeUH7rx1ltpQ3t8ELmlCqB+LiNG6z8JGK2XmaGZe3oTjSRNyiHJJUiWvLCRJlbwbSuqQiDgb+PiY4n/KzPM6EY80EZuhJEmVbIaSJFUyWUiSKpksJEmVTBaSpEr/H+sol6iRgYjOAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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+ "output_type": "display_data"
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SloEl36Opqruq6ktt+jvAV4BjZlnldOCSqrqvqu4AtgEn916no84kaVGM9BhNkjXAE4CrW9Ork1yfZHOSI1rbMcDXBlbbzuzBJEkaIyMLmiQPAT4MvK6q7gEuBB4NnATcBbxtHtvcmGRLki27du1aUH3u0UjS4hhJ0CR5AF3IvK+qPgJQVXdX1URVTQJ/wd7usR3AcQOrH9va7qeqNlXVuqpat2rVqv5+AUnS0EYx6izAu4GvVNWfDLSvHljsecDWNn05sD7JYUlOANYC1yxVvZKkhRnFqLOfBl4C3JDkutb234ANSU4CCrgTeAVAVd2Y5FLgJroRa2c74kySlo8lD5qq+kdgpquKXTHLOucB5/VW1MyP6eWcJWkReGaA/alJXv7eLV7OWZIWyKCZVTnyTJIWyKCRJPXKoJEk9cqgkST1yqCZhSPPJGnhDJrZ1CRnvuvz7N69e9SVSNKyZdAcQA7xTyRJC+G7qCSpVwbNAXicRpIWxqA5gMnd/86LN/2zZwiQpHkyaIbiGQIkab4MmiF4ETRJmj+DZggep5Gk+TNohlATuznz3Vd7nEaS5sGgGZrHaSRpPgyaIU3svo/vfOc73HfffXahSdIcGDTDqkl+dfPnedE7/8kuNEmaA4NmDnLIIUxO7Obee+9lz5497tlI0hCWTdAkOSXJLUm2JXn9qOqoid2c+a7P8/wLruK73/0ue/bsYXJy0lFpkrQfyyJokqwA/gw4FTgR2JDkxFHVM7nnPmriP3jxn/89L3j7P3Dvvffywj//LBMT3fdtJicn2bNnD7t3797vno9DpiX9sFg56gKGdDKwrapuB0hyCXA6cFMfD1aTk1RNAoGaHAiD6fe7U9S86O1XkhUP4O677+Y1H7yJv3zZyZz5zs+SQw4hh6zk/b/xDFasWHG/x9nwjs9x8Suf/oP7My0jSXMxju8jWQ6fqJM8Hzilqn6t3X8J8OSqevW05TYCG9vdxwK3zPMhjwK+Mc91l8I41zfOtYH1LZT1Lcw413cU8OCqWrXYG14uezRDqapNwKaFbifJlqpatwgl9WKc6xvn2sD6Fsr6Fmac62u1relj28viGA2wAzhu4P6xrU2SNOaWS9B8EVib5IQkhwLrgctHXJMkaQjLouusqvYkeTXwCWAFsLmqbuzxIRfc/dazca5vnGsD61so61uYca6vt9qWxWAASdLytVy6ziRJy5RBI0nqlUEzYClPc5Nkc5KdSbYOtB2Z5Mokt7afR7T2JLmg1XV9kicOrHNWW/7WJGcNtD8pyQ1tnQuSZI71HZfk00luSnJjkteOS41JHpjkmiT/0mp7U2s/IcnVbXsfaANHSHJYu7+tzV8zsK1zWvstSZ4z0L7g10KSFUm+nORj41Zfkjvb3/66JFta28if24H1D0/yoSQ3J/lKkqeOS31JHtv+blO3e5K8bozq+810/xdbk1yc7v9ltK+9qvLWHadaAdwGPAo4FPgX4MQeH+8ZwBOBrQNtbwFe36ZfD7y5TZ8G/B0Q4CnA1a39SOD29vOINn1Em3dNWzZt3VPnWN9q4Ilt+qHAv9Kd/mfkNbblH9KmHwBc3bZzKbC+tb8D+I02/SrgHW16PfCBNn1ie54PA05oz/+KxXotAL8FvB/4WLs/NvUBdwJHTWsb+XM7UMt7gV9r04cCh49TfdPeN74O/Og41AccA9wBPGjgNffSUb/2lvwNfVxvwFOBTwzcPwc4p+fHXMO+QXMLsLpNrwZuadPvBDZMXw7YALxzoP2drW01cPNA+z7LzbPWjwI/P241Av8J+BLwZLpvXK+c/nzSjVZ8apte2ZbL9Od4arnFeC3QfdfrKuBngY+1xxun+u7k/kEzFs8t8HC6N8uMY33Tano28E/jUh9d0HyNLrxWttfec0b92rPrbK+pJ2jK9ta2lI6uqrva9NeBo9v0/mqbrX37DO3z0nann0C35zAWNabrlroO2AlcSfcp69+qas8M2/tBDW3+t4FHzKPmufhT4HeBqYsXPWLM6ivgk0muTXfqJhiT55buE/Qu4C/TdT2+K8mDx6i+QeuBi9v0yOurqh3AW4H/C9xF91q6lhG/9gyaMVXdx4WRjz1P8hDgw8DrquqewXmjrLGqJqrqJLo9h5OB/zKKOmaS5BeBnVV17ahrmcXTquqJdGdEPzvJMwZnjvj1t5KuW/nCqnoC8D26rqgfGIf/j3ac47nAB6fPG1V97bjQ6XRh/UjgwcApS13HdAbNXuNwmpu7k6wGaD93HqC22dqPnaF9TpI8gC5k3ldVHxnHGqvq34BP0+3SH55k6kvIg9v7QQ1t/sOBb86j5mH9NPDcJHcCl9B1n/2vMapv6pMvVbUTuIwurMflud0ObK+qq9v9D9EFz7jUN+VU4EtVdXe7Pw71/RxwR1XtqqrdwEfoXo+jfe3Np1/yYLzRfYq6ne6TwNRBrsf1/Jhr2PcYzR+z78HEt7TpX2Dfg4nXtPYj6fqyj2i3O4Aj27zpBxNPm2NtAS4C/nRa+8hrBFYBh7fpBwGfA36R7pPl4AHPV7Xps9n3gOelbfpx7HvA83a6g52L9loAnsnewQBjUR/dp9yHDkz/M92n3pE/twM1fg54bJs+t9U2NvW1bVwCvGzM/jeeDNxId+wydIMqXjPq196SvIkvlxvd6JB/pevvf0PPj3UxXR/qbrpPcC+n6xu9CrgV+NTAiy50F367DbgBWDewnV8FtrXb4It+HbC1rfN2ph1YHaK+p9Ht+l8PXNdup41DjcCPA19utW0Ffr+1P6r9g25r/1iHtfYHtvvb2vxHDWzrDe3xb2FgZM9ivRbYN2jGor5Wx7+0241T64/Dczuw/knAlvYc/zXdG/E41fdguk/+Dx9oG4v6gDcBN7f1/4ouLEb62vMUNJKkXnmMRpLUK4NGktQrg0aS1CuDRpLUK4NGktQrg0aS1CuDRstCkkryfwbur0yyK3tPwf/SJG9v0+cmuTfJjwws/93p00nWtO3+z4F5RyXZPbCt9yR5/rRahl5/P7/LuUl2tFPMb03y3IF5r0vy70ke3k4v/49JTh2Y/4IkH5/D32RX9j2l/YkDdb9mYN23t+X/rC13U5LvD6z3/CRPaaeSvy7dqfvPnfVJkxqDRsvF94DHJ3lQu//zzH7qi28Avz3Edu+g++b2lBfQfYlxWPNd//zqztX2AmBzkqn/xQ3AF4Ffqe5Lbq8E/qRdU+QhwB/SfZsbhvubfKCqThq43dTadwKvnbouyZSqOrvVdRpw28B6H6L7lvnGNv/xdKeelw7IoNFycgV739Q3sPesuTPZDJyR5MgDbPNe4CtJ1rX7ZzC3N9AFrV9VXwH2AEcleTTwEOC/0/1+VNVW4G+A3wN+H7ioqm4b2MRc/iaDdtF9i/2sYWsFfoTubBZUd1LTmw6wvAQYNFpeLgHWJ3kg3Wlorp5l2e/Shc1r57Dd44AJ4P/Ns645r5/kyXSXEthFd66pS2jn+UoydZr5NwEvojuJ41v289j7+5ucMa3r7EED894M/NckK4Ys93zgliSXJXlFe0zpgAwaLRtVdT3diUg30H2SP5ALgLOSPPQAy32crttpPfCB6Q87UylzWH9/frNdT+etwBmtm2wDcElVTdKdNfsFAFX1vbbdv6qq+/Yp5MB/k+ldZ98fWPd2umB60TAFV9Uf0J2D65NtnY8P+bvqh5xBo+Xmcro35wN2EVV3CYH3s/eYxv6W+w+6i0P9Nt0p6Qd9k+6EjgC0rrhvzGH9/Tm/vfE/vao+l+THgLXAle3yAutp3WfNJHsvojbd0H+TGfwhXbfcUNekr6rbqupC4FnATyR5xDweUz9kDBotN5uBN1XVDUMu/yfAK+hObz6btwG/V1Xfmtb+D3TdT1MHzV9Kd/2bYdcf1gbg3Kpa026PBB6Z5EeHWHeuf5MfqKqbgZuAXzrQskl+IclUIK2l6yb8t7k+pn74HOifTxorVbWdrkts2OW/keQy4DcPsNyNzDBarKo+luRJwLVJJuhOjf7KYdefg/V0I70GXdba3zzbigf4m5yR5GkD91/F/Y8hnUd32YUDeQlwfpJ76QYwvLiqJoZYTz/kvEyAJKlXdp1Jknpl15nUkyRvoI0cG/DBqjpvFPVIo2LXmSSpV3adSZJ6ZdBIknpl0EiSemXQSJJ69f8B31smelGYq6UAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for col in df:\n",
+ " plt.figure()\n",
+ " sns.histplot(df[col])\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "a252bb07",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "BALANCE 2.393386\n",
+ "BALANCE_FREQUENCY -2.023266\n",
+ "PURCHASES 8.144269\n",
+ "ONEOFF_PURCHASES 10.045083\n",
+ "INSTALLMENTS_PURCHASES 7.299120\n",
+ "CASH_ADVANCE 5.166609\n",
+ "PURCHASES_FREQUENCY 0.060164\n",
+ "ONEOFF_PURCHASES_FREQUENCY 1.535613\n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.509201\n",
+ "CASH_ADVANCE_FREQUENCY 1.828686\n",
+ "CASH_ADVANCE_TRX 5.721298\n",
+ "PURCHASES_TRX 4.630655\n",
+ "CREDIT_LIMIT 1.522549\n",
+ "PAYMENTS 5.907620\n",
+ "MINIMUM_PAYMENTS 13.867357\n",
+ "PRC_FULL_PAYMENT 1.942820\n",
+ "TENURE -2.943017\n",
+ "dtype: float64"
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.skew()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "0e85f23e",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "for col in df:\n",
+ " df[col]=np.sqrt(df[col])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "7331381d",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "BALANCE 0.829498\n",
+ "BALANCE_FREQUENCY -2.819495\n",
+ "PURCHASES 1.730752\n",
+ "ONEOFF_PURCHASES 2.129460\n",
+ "INSTALLMENTS_PURCHASES 1.546939\n",
+ "CASH_ADVANCE 1.486159\n",
+ "PURCHASES_FREQUENCY -0.421872\n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.724607\n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.130409\n",
+ "CASH_ADVANCE_FREQUENCY 0.706976\n",
+ "CASH_ADVANCE_TRX 1.417779\n",
+ "PURCHASES_TRX 1.185757\n",
+ "CREDIT_LIMIT 0.680933\n",
+ "PAYMENTS 1.951535\n",
+ "MINIMUM_PAYMENTS 3.805340\n",
+ "PRC_FULL_PAYMENT 1.297280\n",
+ "TENURE -3.064332\n",
+ "dtype: float64"
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.skew()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "c67024fe",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
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+ "output_type": "display_data"
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ "output_type": "display_data"
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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amPwU66i0Wi3GNm9nZHSFvZ6lBcRQOIz6f8Pj4+NkDrhCc8zI6Ap7PUsLjKFwGPX/hjtDP5wy6EoNkCEpLXyGwgw6/w0/PbFn0FUZiG4D5RmS0sJkKOiwug2UN6whKS10hoJm1Bkor1sQ1I8mwCuRpPmssX4KEfHpiNgXEffUyk6LiNsi4qHyc0kpj4j4RES0IuKuiDi7qXpp9rWPJnbxgRvvZGzz9oMuVZU0vzTZee064PwpZZcDOzJzHbCjzANcAKwrjzHgmgbrpQZ0jiZGRlcMuiqSjkFjoZCZXweemFK8EdhaprcCF9XKr8+2bwKnRsTypuomSZpev4e5WJaZe8v0o8CyMr0SeKS23u5SdoiIGIuInRGxc2JiormaStIQGtjYR5mZwBFf6Z6ZWzJzQ2ZuGB31DmGSNJv6HQqPdZqFys99pXwPsLq23qpSJknqo36HwjZgU5neBNxSK7+kXIV0DrC/1swkSeqTxi4mj4jPAf8cOD0idgMfAa4EboyIS4GHgYvL6rcCFwIt4Bng3U3VS5LUXWOhkJnv7LLovGnWTeCypuoiSeqN3U7VGO+5IM0/fkLVGO+5IM0/hoJm1dRRVV98uvdckOYTQ0GzarpRVR1eW5o/BtZ5TQtXZxykxUvsXCjNNx4pqC+mDq8NnniW5iI/keqLerMS4IlnaY4yFNQ3nWYlSXOXoaA5xb4N0mD5adPA1YNgfHycK2+9l5GXrLSJSRoAQ0EDV+/k1rmM1WYmaTAMBQ1Et05uT084Yro0SIbCFFObMvKIbwOkXtjJTZqbDIUppmvK8MuqGZ2rkTw6kOYOQ2EaI6M2ZcwFUzu8da5E8golqTl+kjRn1ZuY6lciOfqq1BxDQXNatw5vnaM5SbPLUNC8MPVqpekuAKg3K01OTgIc1KxkM5M0Mz8hmhe6Xa00NSw6Hd/2PbiL4xefwtJVZwKOtST1ylDQvDHd1UrThUVnneNHllZNTN1OWks6mJ8KzXu9XNra7aS1pIMZChoa05209vJW6WC++zV0up2H+Mljj3DFW17Jy172MmD6fhFTT2AbIlpohv7dPLWt2aEtFr7DnYf46Bd3HbZfRP0Ets1QWoiGPhSm3hHMoS2GQ7fzEJ3yww3Y1zmB7clrLUS+gzm4rdmhLQS9DdhXX6db09NUx3IO41jPf3j+RL2YU++IiDgfuBo4HvhUZl454CppiPVyVVN9nU7T09SAqJ+HONJzGPXyejNWryFUd6TbGyLDac78hSPieGAz8GZgN/DtiNiWmfcOtmZSb6YLCOCg8xDdzmHUv6S7BcfUZqxeQmhqIM20fS8B1u35D/e7j2Uaugdmt2W9bj9TGB6uTt22P1K9hm+/QnrOhALwWqCVmeMAEXEDsBFoJBSenvghAM88OcHxP3uWp1504iHz/Zzu9+/2tTY8vbj7WalnHt97yHo/3f84H7r2K5yybCVPPvwAIyvXMdKlPIKu2wI8+fADHHfiSLVNfXqm7adbf7p6TPf8M/3uo53+6ZMT/Md3nVcF4x98ZgcvWjLarnuXZb1sXy+v6/Y8U19rt+2PVC91mm69z37kdxu5yCFyjlxqExFvBc7PzN8p8+8Cfikz3zNlvTFgrMy+HHjgKH/l6cCPjnLbhcj98Tz3xcHcHwdbCPvjn2Tm6HQL5tKRQk8ycwuw5VifJyJ2ZuaGWajSguD+eJ774mDuj4Mt9P1x3KArULMHWF2bX1XKJEl9MpdC4dvAuog4MyJeCLwD2DbgOknSUJkzzUeZORkR7wH+gvYlqZ/OzO82+CuPuQlqgXF/PM99cTD3x8EW9P6YMyeaJUmDN5eajyRJA2YoSJIqQxkKEXF+RDwQEa2IuHzQ9em3iPh+RNwdEbsiYmcpOy0ibouIh8rPJYOuZ1Mi4tMRsS8i7qmVTfv6o+0T5b1yV0ScPbiaN6PL/vgPEbGnvEd2RcSFtWVXlP3xQET82mBq3YyIWB0Rt0fEvRHx3Yj4vVI+NO+PoQuF2nAaFwCvAN4ZEa8YbK0G4k2ZeVbteuvLgR2ZuQ7YUeYXquuA86eUdXv9FwDrymMMuKZPdeyn6zh0fwBcVd4jZ2XmrQDls/IO4OfLNv+jfKYWikng9zPzFcA5wGXlNQ/N+2PoQoHacBqZ+SzQGU5j2G0EtpbprcBFg6tKszLz68ATU4q7vf6NwPXZ9k3g1IhY3peK9kmX/dHNRuCGzPxZZv490KL9mVoQMnNvZn6nTP8EuA9YyRC9P4YxFFYCj9Tmd5eyYZLAX0bEHWXYEIBlmbm3TD8KLBtM1Qam2+sf5vfLe0qTyKdrzYlDsz8iYg3wGuBbDNH7YxhDQfDGzDyb9qHvZRHxy/WF2b5OeWivVR72119cA/wccBawF/jjgdamzyJiBPhz4H2Z+VR92UJ/fwxjKAz9cBqZuaf83AfcTPvw/7HOYW/5uW9wNRyIbq9/KN8vmflYZh7IzOeAT/J8E9GC3x8R8QLagfDZzPxCKR6a98cwhsJQD6cRES+OiJM608CvAvfQ3gebymqbgFsGU8OB6fb6twGXlKtMzgH215oRFqwp7eK/Sfs9Au398Y6IOCEizqR9gvXv+l2/pkREANcC92Xmn9QWDc/7IzOH7gFcCDwIfA/48KDr0+fX/jLg/5bHdzuvH1hK+6qKh4C/Ak4bdF0b3Aefo90k8v9otwFf2u31A0H7arXvAXcDGwZd/z7tj8+U13sX7S++5bX1P1z2xwPABYOu/yzvizfSbhq6C9hVHhcO0/vDYS4kSZVhbD6SJHVhKEiSKoaCJKliKEiSKoaCJKliKGjoRMSBMvLnPRHxZxGxuJQvioiJiLiyzL85Ir5Rrl0nIo6PiDsj4vVlFNGMiLW1531fKdtQ5uuj0e6KiE+U8uvKCKQnlPnTy7qvqq37RET8fZn+q4g4rozGeU95zm+XfgLSrDIUNIx+mu2RP18JPAv861L+Ztr9V94WEZGZtwEP075uH+C9wM7M/D9l/m7anR873ka770ddZzTaszLz39bKDwD/qr5iZt7dWZd234APlvlfAd4OrAB+ITNfRbtD2Y+P8vVLXRkKGnb/G+j8t/9O4GrgB8DrStn7gSsi4ueB9wAfqm37RcoIuxHxc8B+4Ec9/t6PA++PiF7vk74c2JvtYSfIzN2Z+WSP20o9MxQ0tMoX8gXA3RFxIvArwJdo9/B9J7SHUqb9Bf4N4GOZWR9i+ingkYh4Je0jhs9P82turzUJvb9W/gPgb4F39VjdG4HfKM/zxxHxml5fp3QkDAUNoxdFxC5gJ+0v52uBXwduz8yf0h4M7aLazWM2A8dn5nXTPNcNtAPhItqDC05Vbz66asqy/wx8kB4+h5m5G3g5cAXwHLAjIs6baTvpSPV66CotJD8t7faViHgn8MaI+H4pWgqcC9yWmc9FRLfxYL4M/Ffa5xqeKueke5KZD5VwurjH9X8GfAX4SkQ8RjuIdvT8C6UeGAoaehFxMvDPgNXli5eIeDftJqTbDrdtZj4TER+ifYL6aPwnYHsPdTwbeDQzfxgRxwG/QHvQNmlWGQpS+0qer3UCobgF+C8RccKU8kNk5g2HWXx7RBwo03dl5iVTtv1uRHwHmOmG7y8BPtm5jJX2cNX/fYZtpCPmKKmSpIonmiVJFUNBklQxFCRJFUNBklQxFCRJFUNBklQxFCRJlf8PzBNWYef+ZIgAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
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+ ""
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+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
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+ "data": {
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iqv43kFlWnzjD+ALOnWVfm4BN46tOkvRE+A1uSVInw0KS1MmwkCR1MiwkSZ0MC0lSJ8NCktTJsJAkdTIsJEmdDAtJUifDQpLUybCQJHUyLCRJnQwLSVInw0KS1MmwkCR1MiwkSZ0MC0lSJ8NCktSpt7BIsinJ/Um+NdR3aJKtSe5s70tbf5J8OMn2JLckOWZom/Vt/J1J1vdVryRpdn0eWXwSWLtX33nA1VW1Bri6LQOcAqxprw3ARTAIF+B84DjgWOD86YCRJE1Ob2FRVX8H7Nmrex2wubU3A6cN9V9SA9cDS5IcDpwMbK2qPVX1ILCVxweQJKlnk75msbyq7mnte4Hlrb0C2DE0bmfrm63/cZJsSLItybbdu3ePt2pJWuTm7AJ3VRVQY9zfxqqaqqqpZcuWjWu3kiQmHxb3tdNLtPf7W/8uYNXQuJWtb7Z+SdIETTostgDTdzStB64Y6j+r3RV1PPBQO111FXBSkqXtwvZJrU+SNEEH9rXjJJ8BXgMclmQng7ua3gtcnuQc4G7gjDb8SuBUYDvwCHA2QFXtSXIhcGMbd0FV7X3RXJLUs97CoqreNMuqE2cYW8C5s+xnE7BpjKVJkp4gv8EtSepkWEiSOhkWkqROhoUkqZNhIUnqZFhIkjoZFpKkToaFJKmTYSFJ6mRYSJI6GRaSpE6GhSSpk2Ehab+1YtURJBnba8WqI+Z6SnOmt6fOStJc+8HOHbzx418d2/4ue8srx7avhcYjC0lSJ8NC0pMy7lM8i/00z3znaagZrFh1BD/YuWNs+/vVlavYteP7Y9vfYuTfZP4Z9ykeWNyneeY7w2IG8/0852L8h3O+/036sBj/zpq/DIsFaDH+w7kY+XfWfLJgrlkkWZvkO0m2JzlvruuRpMVkQYRFkgOA/wqcAhwFvCnJUXNblSQtHgsiLIBjge1VdVdV/Ry4FFg3xzVJ0qKRqprrGjolOR1YW1W/15bfDBxXVX8wNGYDsKEtvgh4APjhpGudQ4fhfPdnznf/Nl/m+4KqWjbTiv3mAndVbQQ2Ti8n2VZVU3NY0kQ53/2b892/LYT5LpTTULuAVUPLK1ufJGkCFkpY3AisSXJkkoOAM4Etc1yTJC0aC+I0VFU9muQPgKuAA4BNVXVbx2YbO9bvb5zv/s357t/m/XwXxAVuSdLcWiinoSRJc8iwkCR1WtBhkWRVkmuT3J7ktiRv38fYlyd5tH1nY8EZda5JXpPk5jbmK5Ouc5xGmXOS5yb5YpK/b2POnotaxyHJM5N8fWgufzHDmGckuaw99uaGJKvnoNSnbMS5/mH729+S5OokL5iLWsdllDkPjf23SSrJ/LmdtqoW7As4HDimtQ8B/g9w1AzjDgCuAa4ETp/ruvuaK7AEuB04oi0/f67rnsCc/xR4X2svA/YAB8117U9yvgGe3dpPB24Ajt9rzFuBj7X2mcBlc113j3M9AfiV1v6PC3WuT2TObd0hwN8B1wNTc1339GtBH1lU1T1V9Y3W/kfgDmDFDEPfBvw1cP8EyxurEef674DPV9X327gFO18Yec4FHJIkwLMZhMWjEy10TGrg4bb49Pba+w6UdcDm1v4ccGKb+4Iyylyr6tqqeqQtXs/g+1UL1oh/X4ALgfcBP51UbaNY0GExrB2Ov4xBWg/3rwB+B7hoDsrqxWxzBX4NWJrkuiQ3JTlr4sX1ZB9z/gjw68APgFuBt1fVP022uvFJckCSmxn8x2ZrVe093xXADhjcUg48BDxvokWOyQhzHXYO8D8mUliPuuac5BhgVVX97VzUty/7RVgkeTaDI4d3VNWP91r9IeCdC/kfkGEdcz0Q+E3gt4GTgT9P8msTLnHsOuZ8MnAz8KvA0cBHkjxnogWOUVX9oqqOZvC/6GOTvGSOS+rNqHNN8u+BKeD9EyyvF/uac5KnAR8A/miOytunBR8WSZ7O4B+ST1fV52cYMgVcmuR7wOnAR5OcNrkKx2eEue4Erqqqn1TVDxmc93zpJGsctxHmfDaDU29VVduB7wIvnmSNfaiqHwHXAmv3WvX/H32T5EDguQwemrlg7WOuJPkt4M+A11fVzyZcWm9mmfMhwEuA69q/V8cDW+bLRe4FHRbtXO3FwB1V9YGZxlTVkVW1uqpWMzjH+9aq+pvJVTkeo8wVuAJ4dZIDk/wKcByD8/wL0ohz/j5wYhu/nMETh++aTIXjlWRZkiWtfTDwOuDbew3bAqxv7dOBa6pdFV1IRplrkpcBH2cQFAv6+ht0z7mqHqqqw4b+vbqewdy3zUW9e1sQj/vYh1cBbwZubecBYXB3zBEAVfWxOaqrD51zrao7knwZuAX4J+ATVfWtuSh2TEb5+14IfDLJrQzuNnlnO6paiA4HNmfwY19PAy6vqi8luQDYVlVbGITnp5JsZ3Ax/8y5K/cpGWWu72dw08Jn2zX871fV6+es4qdulDnPWz7uQ5LUaUGfhpIkTYZhIUnqZFhIkjoZFpKkToaFJKmTYSF1SPK89iTfm5Pcm2TX0HINtW9Ocl7b5rok24b2MZXkutb+D0k+stdnXDf95ask30tya3va6leGn7aa5BczfZ7Ut4X+PQupd1X1AINHiZDkPwMPV9VftuWH2+MbZvL8JKdU1ZN5ptEJVfXD9hjr/wT8fuv/v/v4PKk3HllI/Xk/g0dVPBVfY+YnKUsTZVhIT83Be50WeuPQuq8BP09ywlPY/1rgb0b8PKk3noaSnpqu00LvZnAa6Z1DfbM9NmG4/9okhwIPA3/+BD5P6oVHFlKPquoa4GAGTxCd9gCwdK+hhwLDz7Q6AXgBg8evz/rzm9KkGBZS/94N/MnQ8o3Aq5L8MxjcKQU8g/ajRtPajxu9AzirHWVIc8bTUNJTc/DQE3EBvlxVv3Q7a1VdmWT30PJ9Sd4OXNl+8OZh4E0z/UBXVd2T5DPAuQyesNv5eVIffOqsJKmTp6EkSZ0MC0lSJ8NCktTJsJAkdTIsJEmdDAtJUifDQpLU6f8B+4A7HUuZwRgAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for col in df:\n",
+ " plt.figure()\n",
+ " sns.histplot(df[col])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "b098b8d8",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " BALANCE | \n",
+ " BALANCE_FREQUENCY | \n",
+ " PURCHASES | \n",
+ " ONEOFF_PURCHASES | \n",
+ " INSTALLMENTS_PURCHASES | \n",
+ " CASH_ADVANCE | \n",
+ " PURCHASES_FREQUENCY | \n",
+ " ONEOFF_PURCHASES_FREQUENCY | \n",
+ " PURCHASES_INSTALLMENTS_FREQUENCY | \n",
+ " CASH_ADVANCE_FREQUENCY | \n",
+ " CASH_ADVANCE_TRX | \n",
+ " PURCHASES_TRX | \n",
+ " CREDIT_LIMIT | \n",
+ " PAYMENTS | \n",
+ " MINIMUM_PAYMENTS | \n",
+ " PRC_FULL_PAYMENT | \n",
+ " TENURE | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | BALANCE | \n",
+ " 1.000000 | \n",
+ " 0.439550 | \n",
+ " 0.102217 | \n",
+ " 0.172933 | \n",
+ " 0.013676 | \n",
+ " 0.575879 | \n",
+ " -0.153306 | \n",
+ " 0.102318 | \n",
+ " -0.128057 | \n",
+ " 0.531558 | \n",
+ " 0.525505 | \n",
+ " 0.042819 | \n",
+ " 0.456740 | \n",
+ " 0.403422 | \n",
+ " 0.663993 | \n",
+ " -0.453893 | \n",
+ " 0.079000 | \n",
+ "
\n",
+ " \n",
+ " | BALANCE_FREQUENCY | \n",
+ " 0.439550 | \n",
+ " 1.000000 | \n",
+ " 0.166903 | \n",
+ " 0.147846 | \n",
+ " 0.142073 | \n",
+ " 0.138545 | \n",
+ " 0.154265 | \n",
+ " 0.181196 | \n",
+ " 0.123737 | \n",
+ " 0.192852 | \n",
+ " 0.180504 | \n",
+ " 0.194752 | \n",
+ " 0.093166 | \n",
+ " 0.171135 | \n",
+ " 0.192395 | \n",
+ " -0.056715 | \n",
+ " 0.093694 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES | \n",
+ " 0.102217 | \n",
+ " 0.166903 | \n",
+ " 1.000000 | \n",
+ " 0.852625 | \n",
+ " 0.728559 | \n",
+ " -0.236233 | \n",
+ " 0.687428 | \n",
+ " 0.672055 | \n",
+ " 0.527451 | \n",
+ " -0.300179 | \n",
+ " -0.254318 | \n",
+ " 0.843175 | \n",
+ " 0.341895 | \n",
+ " 0.496092 | \n",
+ " 0.079384 | \n",
+ " 0.245880 | \n",
+ " 0.116914 | \n",
+ "
\n",
+ " \n",
+ " | ONEOFF_PURCHASES | \n",
+ " 0.172933 | \n",
+ " 0.147846 | \n",
+ " 0.852625 | \n",
+ " 1.000000 | \n",
+ " 0.306789 | \n",
+ " -0.123410 | \n",
+ " 0.422181 | \n",
+ " 0.824324 | \n",
+ " 0.154497 | \n",
+ " -0.156438 | \n",
+ " -0.129146 | \n",
+ " 0.637828 | \n",
+ " 0.352743 | \n",
+ " 0.471265 | \n",
+ " 0.051873 | \n",
+ " 0.113810 | \n",
+ " 0.090035 | \n",
+ "
\n",
+ " \n",
+ " | INSTALLMENTS_PURCHASES | \n",
+ " 0.013676 | \n",
+ " 0.142073 | \n",
+ " 0.728559 | \n",
+ " 0.306789 | \n",
+ " 1.000000 | \n",
+ " -0.230397 | \n",
+ " 0.683154 | \n",
+ " 0.231340 | \n",
+ " 0.815592 | \n",
+ " -0.292878 | \n",
+ " -0.247026 | \n",
+ " 0.757427 | \n",
+ " 0.205210 | \n",
+ " 0.330005 | \n",
+ " 0.078573 | \n",
+ " 0.269962 | \n",
+ " 0.108182 | \n",
+ "
\n",
+ " \n",
+ " | CASH_ADVANCE | \n",
+ " 0.575879 | \n",
+ " 0.138545 | \n",
+ " -0.236233 | \n",
+ " -0.123410 | \n",
+ " -0.230397 | \n",
+ " 1.000000 | \n",
+ " -0.392948 | \n",
+ " -0.152434 | \n",
+ " -0.309058 | \n",
+ " 0.834290 | \n",
+ " 0.848970 | \n",
+ " -0.273181 | \n",
+ " 0.261001 | \n",
+ " 0.368825 | \n",
+ " 0.325816 | \n",
+ " -0.233943 | \n",
+ " -0.096013 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES_FREQUENCY | \n",
+ " -0.153306 | \n",
+ " 0.154265 | \n",
+ " 0.687428 | \n",
+ " 0.422181 | \n",
+ " 0.683154 | \n",
+ " -0.392948 | \n",
+ " 1.000000 | \n",
+ " 0.508031 | \n",
+ " 0.831387 | \n",
+ " -0.457631 | \n",
+ " -0.397722 | \n",
+ " 0.820786 | \n",
+ " 0.110645 | \n",
+ " 0.122729 | \n",
+ " -0.053435 | \n",
+ " 0.308474 | \n",
+ " 0.066970 | \n",
+ "
\n",
+ " \n",
+ " | ONEOFF_PURCHASES_FREQUENCY | \n",
+ " 0.102318 | \n",
+ " 0.181196 | \n",
+ " 0.672055 | \n",
+ " 0.824324 | \n",
+ " 0.231340 | \n",
+ " -0.152434 | \n",
+ " 0.508031 | \n",
+ " 1.000000 | \n",
+ " 0.130807 | \n",
+ " -0.164373 | \n",
+ " -0.137542 | \n",
+ " 0.627696 | \n",
+ " 0.296455 | \n",
+ " 0.300928 | \n",
+ " -0.009630 | \n",
+ " 0.099064 | \n",
+ " 0.083856 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES_INSTALLMENTS_FREQUENCY | \n",
+ " -0.128057 | \n",
+ " 0.123737 | \n",
+ " 0.527451 | \n",
+ " 0.154497 | \n",
+ " 0.815592 | \n",
+ " -0.309058 | \n",
+ " 0.831387 | \n",
+ " 0.130807 | \n",
+ " 1.000000 | \n",
+ " -0.366260 | \n",
+ " -0.315583 | \n",
+ " 0.715472 | \n",
+ " 0.058378 | \n",
+ " 0.102431 | \n",
+ " -0.018277 | \n",
+ " 0.275739 | \n",
+ " 0.073884 | \n",
+ "
\n",
+ " \n",
+ " | CASH_ADVANCE_FREQUENCY | \n",
+ " 0.531558 | \n",
+ " 0.192852 | \n",
+ " -0.300179 | \n",
+ " -0.156438 | \n",
+ " -0.292878 | \n",
+ " 0.834290 | \n",
+ " -0.457631 | \n",
+ " -0.164373 | \n",
+ " -0.366260 | \n",
+ " 1.000000 | \n",
+ " 0.939703 | \n",
+ " -0.325492 | \n",
+ " 0.100658 | \n",
+ " 0.205875 | \n",
+ " 0.278039 | \n",
+ " -0.305366 | \n",
+ " -0.124117 | \n",
+ "
\n",
+ " \n",
+ " | CASH_ADVANCE_TRX | \n",
+ " 0.525505 | \n",
+ " 0.180504 | \n",
+ " -0.254318 | \n",
+ " -0.129146 | \n",
+ " -0.247026 | \n",
+ " 0.848970 | \n",
+ " -0.397722 | \n",
+ " -0.137542 | \n",
+ " -0.315583 | \n",
+ " 0.939703 | \n",
+ " 1.000000 | \n",
+ " -0.273108 | \n",
+ " 0.133933 | \n",
+ " 0.256674 | \n",
+ " 0.302627 | \n",
+ " -0.266926 | \n",
+ " -0.072471 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES_TRX | \n",
+ " 0.042819 | \n",
+ " 0.194752 | \n",
+ " 0.843175 | \n",
+ " 0.637828 | \n",
+ " 0.757427 | \n",
+ " -0.273181 | \n",
+ " 0.820786 | \n",
+ " 0.627696 | \n",
+ " 0.715472 | \n",
+ " -0.325492 | \n",
+ " -0.273108 | \n",
+ " 1.000000 | \n",
+ " 0.250522 | \n",
+ " 0.341845 | \n",
+ " 0.062609 | \n",
+ " 0.240429 | \n",
+ " 0.145224 | \n",
+ "
\n",
+ " \n",
+ " | CREDIT_LIMIT | \n",
+ " 0.456740 | \n",
+ " 0.093166 | \n",
+ " 0.341895 | \n",
+ " 0.352743 | \n",
+ " 0.205210 | \n",
+ " 0.261001 | \n",
+ " 0.110645 | \n",
+ " 0.296455 | \n",
+ " 0.058378 | \n",
+ " 0.100658 | \n",
+ " 0.133933 | \n",
+ " 0.250522 | \n",
+ " 1.000000 | \n",
+ " 0.461019 | \n",
+ " 0.228766 | \n",
+ " 0.039825 | \n",
+ " 0.158845 | \n",
+ "
\n",
+ " \n",
+ " | PAYMENTS | \n",
+ " 0.403422 | \n",
+ " 0.171135 | \n",
+ " 0.496092 | \n",
+ " 0.471265 | \n",
+ " 0.330005 | \n",
+ " 0.368825 | \n",
+ " 0.122729 | \n",
+ " 0.300928 | \n",
+ " 0.102431 | \n",
+ " 0.205875 | \n",
+ " 0.256674 | \n",
+ " 0.341845 | \n",
+ " 0.461019 | \n",
+ " 1.000000 | \n",
+ " 0.241452 | \n",
+ " 0.175619 | \n",
+ " 0.174052 | \n",
+ "
\n",
+ " \n",
+ " | MINIMUM_PAYMENTS | \n",
+ " 0.663993 | \n",
+ " 0.192395 | \n",
+ " 0.079384 | \n",
+ " 0.051873 | \n",
+ " 0.078573 | \n",
+ " 0.325816 | \n",
+ " -0.053435 | \n",
+ " -0.009630 | \n",
+ " -0.018277 | \n",
+ " 0.278039 | \n",
+ " 0.302627 | \n",
+ " 0.062609 | \n",
+ " 0.228766 | \n",
+ " 0.241452 | \n",
+ " 1.000000 | \n",
+ " -0.319688 | \n",
+ " 0.103005 | \n",
+ "
\n",
+ " \n",
+ " | PRC_FULL_PAYMENT | \n",
+ " -0.453893 | \n",
+ " -0.056715 | \n",
+ " 0.245880 | \n",
+ " 0.113810 | \n",
+ " 0.269962 | \n",
+ " -0.233943 | \n",
+ " 0.308474 | \n",
+ " 0.099064 | \n",
+ " 0.275739 | \n",
+ " -0.305366 | \n",
+ " -0.266926 | \n",
+ " 0.240429 | \n",
+ " 0.039825 | \n",
+ " 0.175619 | \n",
+ " -0.319688 | \n",
+ " 1.000000 | \n",
+ " -0.001969 | \n",
+ "
\n",
+ " \n",
+ " | TENURE | \n",
+ " 0.079000 | \n",
+ " 0.093694 | \n",
+ " 0.116914 | \n",
+ " 0.090035 | \n",
+ " 0.108182 | \n",
+ " -0.096013 | \n",
+ " 0.066970 | \n",
+ " 0.083856 | \n",
+ " 0.073884 | \n",
+ " -0.124117 | \n",
+ " -0.072471 | \n",
+ " 0.145224 | \n",
+ " 0.158845 | \n",
+ " 0.174052 | \n",
+ " 0.103005 | \n",
+ " -0.001969 | \n",
+ " 1.000000 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " BALANCE BALANCE_FREQUENCY PURCHASES \\\n",
+ "BALANCE 1.000000 0.439550 0.102217 \n",
+ "BALANCE_FREQUENCY 0.439550 1.000000 0.166903 \n",
+ "PURCHASES 0.102217 0.166903 1.000000 \n",
+ "ONEOFF_PURCHASES 0.172933 0.147846 0.852625 \n",
+ "INSTALLMENTS_PURCHASES 0.013676 0.142073 0.728559 \n",
+ "CASH_ADVANCE 0.575879 0.138545 -0.236233 \n",
+ "PURCHASES_FREQUENCY -0.153306 0.154265 0.687428 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.102318 0.181196 0.672055 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.128057 0.123737 0.527451 \n",
+ "CASH_ADVANCE_FREQUENCY 0.531558 0.192852 -0.300179 \n",
+ "CASH_ADVANCE_TRX 0.525505 0.180504 -0.254318 \n",
+ "PURCHASES_TRX 0.042819 0.194752 0.843175 \n",
+ "CREDIT_LIMIT 0.456740 0.093166 0.341895 \n",
+ "PAYMENTS 0.403422 0.171135 0.496092 \n",
+ "MINIMUM_PAYMENTS 0.663993 0.192395 0.079384 \n",
+ "PRC_FULL_PAYMENT -0.453893 -0.056715 0.245880 \n",
+ "TENURE 0.079000 0.093694 0.116914 \n",
+ "\n",
+ " ONEOFF_PURCHASES INSTALLMENTS_PURCHASES \\\n",
+ "BALANCE 0.172933 0.013676 \n",
+ "BALANCE_FREQUENCY 0.147846 0.142073 \n",
+ "PURCHASES 0.852625 0.728559 \n",
+ "ONEOFF_PURCHASES 1.000000 0.306789 \n",
+ "INSTALLMENTS_PURCHASES 0.306789 1.000000 \n",
+ "CASH_ADVANCE -0.123410 -0.230397 \n",
+ "PURCHASES_FREQUENCY 0.422181 0.683154 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.824324 0.231340 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.154497 0.815592 \n",
+ "CASH_ADVANCE_FREQUENCY -0.156438 -0.292878 \n",
+ "CASH_ADVANCE_TRX -0.129146 -0.247026 \n",
+ "PURCHASES_TRX 0.637828 0.757427 \n",
+ "CREDIT_LIMIT 0.352743 0.205210 \n",
+ "PAYMENTS 0.471265 0.330005 \n",
+ "MINIMUM_PAYMENTS 0.051873 0.078573 \n",
+ "PRC_FULL_PAYMENT 0.113810 0.269962 \n",
+ "TENURE 0.090035 0.108182 \n",
+ "\n",
+ " CASH_ADVANCE PURCHASES_FREQUENCY \\\n",
+ "BALANCE 0.575879 -0.153306 \n",
+ "BALANCE_FREQUENCY 0.138545 0.154265 \n",
+ "PURCHASES -0.236233 0.687428 \n",
+ "ONEOFF_PURCHASES -0.123410 0.422181 \n",
+ "INSTALLMENTS_PURCHASES -0.230397 0.683154 \n",
+ "CASH_ADVANCE 1.000000 -0.392948 \n",
+ "PURCHASES_FREQUENCY -0.392948 1.000000 \n",
+ "ONEOFF_PURCHASES_FREQUENCY -0.152434 0.508031 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.309058 0.831387 \n",
+ "CASH_ADVANCE_FREQUENCY 0.834290 -0.457631 \n",
+ "CASH_ADVANCE_TRX 0.848970 -0.397722 \n",
+ "PURCHASES_TRX -0.273181 0.820786 \n",
+ "CREDIT_LIMIT 0.261001 0.110645 \n",
+ "PAYMENTS 0.368825 0.122729 \n",
+ "MINIMUM_PAYMENTS 0.325816 -0.053435 \n",
+ "PRC_FULL_PAYMENT -0.233943 0.308474 \n",
+ "TENURE -0.096013 0.066970 \n",
+ "\n",
+ " ONEOFF_PURCHASES_FREQUENCY \\\n",
+ "BALANCE 0.102318 \n",
+ "BALANCE_FREQUENCY 0.181196 \n",
+ "PURCHASES 0.672055 \n",
+ "ONEOFF_PURCHASES 0.824324 \n",
+ "INSTALLMENTS_PURCHASES 0.231340 \n",
+ "CASH_ADVANCE -0.152434 \n",
+ "PURCHASES_FREQUENCY 0.508031 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 1.000000 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.130807 \n",
+ "CASH_ADVANCE_FREQUENCY -0.164373 \n",
+ "CASH_ADVANCE_TRX -0.137542 \n",
+ "PURCHASES_TRX 0.627696 \n",
+ "CREDIT_LIMIT 0.296455 \n",
+ "PAYMENTS 0.300928 \n",
+ "MINIMUM_PAYMENTS -0.009630 \n",
+ "PRC_FULL_PAYMENT 0.099064 \n",
+ "TENURE 0.083856 \n",
+ "\n",
+ " PURCHASES_INSTALLMENTS_FREQUENCY \\\n",
+ "BALANCE -0.128057 \n",
+ "BALANCE_FREQUENCY 0.123737 \n",
+ "PURCHASES 0.527451 \n",
+ "ONEOFF_PURCHASES 0.154497 \n",
+ "INSTALLMENTS_PURCHASES 0.815592 \n",
+ "CASH_ADVANCE -0.309058 \n",
+ "PURCHASES_FREQUENCY 0.831387 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.130807 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 1.000000 \n",
+ "CASH_ADVANCE_FREQUENCY -0.366260 \n",
+ "CASH_ADVANCE_TRX -0.315583 \n",
+ "PURCHASES_TRX 0.715472 \n",
+ "CREDIT_LIMIT 0.058378 \n",
+ "PAYMENTS 0.102431 \n",
+ "MINIMUM_PAYMENTS -0.018277 \n",
+ "PRC_FULL_PAYMENT 0.275739 \n",
+ "TENURE 0.073884 \n",
+ "\n",
+ " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX \\\n",
+ "BALANCE 0.531558 0.525505 \n",
+ "BALANCE_FREQUENCY 0.192852 0.180504 \n",
+ "PURCHASES -0.300179 -0.254318 \n",
+ "ONEOFF_PURCHASES -0.156438 -0.129146 \n",
+ "INSTALLMENTS_PURCHASES -0.292878 -0.247026 \n",
+ "CASH_ADVANCE 0.834290 0.848970 \n",
+ "PURCHASES_FREQUENCY -0.457631 -0.397722 \n",
+ "ONEOFF_PURCHASES_FREQUENCY -0.164373 -0.137542 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.366260 -0.315583 \n",
+ "CASH_ADVANCE_FREQUENCY 1.000000 0.939703 \n",
+ "CASH_ADVANCE_TRX 0.939703 1.000000 \n",
+ "PURCHASES_TRX -0.325492 -0.273108 \n",
+ "CREDIT_LIMIT 0.100658 0.133933 \n",
+ "PAYMENTS 0.205875 0.256674 \n",
+ "MINIMUM_PAYMENTS 0.278039 0.302627 \n",
+ "PRC_FULL_PAYMENT -0.305366 -0.266926 \n",
+ "TENURE -0.124117 -0.072471 \n",
+ "\n",
+ " PURCHASES_TRX CREDIT_LIMIT PAYMENTS \\\n",
+ "BALANCE 0.042819 0.456740 0.403422 \n",
+ "BALANCE_FREQUENCY 0.194752 0.093166 0.171135 \n",
+ "PURCHASES 0.843175 0.341895 0.496092 \n",
+ "ONEOFF_PURCHASES 0.637828 0.352743 0.471265 \n",
+ "INSTALLMENTS_PURCHASES 0.757427 0.205210 0.330005 \n",
+ "CASH_ADVANCE -0.273181 0.261001 0.368825 \n",
+ "PURCHASES_FREQUENCY 0.820786 0.110645 0.122729 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.627696 0.296455 0.300928 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.715472 0.058378 0.102431 \n",
+ "CASH_ADVANCE_FREQUENCY -0.325492 0.100658 0.205875 \n",
+ "CASH_ADVANCE_TRX -0.273108 0.133933 0.256674 \n",
+ "PURCHASES_TRX 1.000000 0.250522 0.341845 \n",
+ "CREDIT_LIMIT 0.250522 1.000000 0.461019 \n",
+ "PAYMENTS 0.341845 0.461019 1.000000 \n",
+ "MINIMUM_PAYMENTS 0.062609 0.228766 0.241452 \n",
+ "PRC_FULL_PAYMENT 0.240429 0.039825 0.175619 \n",
+ "TENURE 0.145224 0.158845 0.174052 \n",
+ "\n",
+ " MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n",
+ "BALANCE 0.663993 -0.453893 0.079000 \n",
+ "BALANCE_FREQUENCY 0.192395 -0.056715 0.093694 \n",
+ "PURCHASES 0.079384 0.245880 0.116914 \n",
+ "ONEOFF_PURCHASES 0.051873 0.113810 0.090035 \n",
+ "INSTALLMENTS_PURCHASES 0.078573 0.269962 0.108182 \n",
+ "CASH_ADVANCE 0.325816 -0.233943 -0.096013 \n",
+ "PURCHASES_FREQUENCY -0.053435 0.308474 0.066970 \n",
+ "ONEOFF_PURCHASES_FREQUENCY -0.009630 0.099064 0.083856 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.018277 0.275739 0.073884 \n",
+ "CASH_ADVANCE_FREQUENCY 0.278039 -0.305366 -0.124117 \n",
+ "CASH_ADVANCE_TRX 0.302627 -0.266926 -0.072471 \n",
+ "PURCHASES_TRX 0.062609 0.240429 0.145224 \n",
+ "CREDIT_LIMIT 0.228766 0.039825 0.158845 \n",
+ "PAYMENTS 0.241452 0.175619 0.174052 \n",
+ "MINIMUM_PAYMENTS 1.000000 -0.319688 0.103005 \n",
+ "PRC_FULL_PAYMENT -0.319688 1.000000 -0.001969 \n",
+ "TENURE 0.103005 -0.001969 1.000000 "
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.corr()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "a82b1f8c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0.5, 1.0, 'Correlation between different fearures')"
+ ]
+ },
+ "execution_count": 15,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "correlation = df.corr()\n",
+ "plt.figure(figsize=(17,17))\n",
+ "sns.heatmap(correlation, vmax=1, square=True,annot=True,cmap='cubehelix')\n",
+ "\n",
+ "plt.title('Correlation between different fearures')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "9d5b292b",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.preprocessing import StandardScaler\n",
+ "df_std = StandardScaler().fit_transform(df)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "9beb9e47",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0, 0.5, 'Cumulative explained variance')"
+ ]
+ },
+ "execution_count": 17,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.decomposition import PCA\n",
+ "pca = PCA().fit(df_std)\n",
+ "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
+ "plt.xlim(0,16,1)\n",
+ "plt.xlabel('Number of components')\n",
+ "plt.ylabel('Cumulative explained variance')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "0aceae0d",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.decomposition import PCA \n",
+ "sklearn_pca = PCA(n_components=6)\n",
+ "Y_sklearn = sklearn_pca.fit_transform(df_std)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "3835d517",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[[-0.88512191 -2.48301693 0.23090242 0.80712881 0.04336989 -0.38202562]\n",
+ " [-3.00034342 2.01508943 -0.16533426 -1.08717122 1.67093843 -0.28801526]\n",
+ " [ 1.19172624 0.38517395 -1.92678896 1.85933784 -0.55010278 -0.23006842]\n",
+ " ...\n",
+ " [ 0.10596162 -3.06675754 1.18931984 -1.77510721 -2.96585047 1.26333337]\n",
+ " [-2.84716017 -2.51797947 -0.29519488 -2.14835177 -2.99036079 0.69668999]\n",
+ " [-0.16460436 -0.5243077 -1.64424995 -1.31555393 -4.69253162 1.53231934]]\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(Y_sklearn)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "6d4d3568",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(8950, 6)"
+ ]
+ },
+ "execution_count": 20,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "Y_sklearn.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "873a3243",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df= pd.DataFrame(Y_sklearn,columns=['PC1','PC2','PC3','PC4','PC5','PC6'])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "id": "b093c72a",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " PC1 | \n",
+ " PC2 | \n",
+ " PC3 | \n",
+ " PC4 | \n",
+ " PC5 | \n",
+ " PC6 | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " -0.885122 | \n",
+ " -2.483017 | \n",
+ " 0.230902 | \n",
+ " 0.807129 | \n",
+ " 0.043370 | \n",
+ " -0.382026 | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " -3.000343 | \n",
+ " 2.015089 | \n",
+ " -0.165334 | \n",
+ " -1.087171 | \n",
+ " 1.670938 | \n",
+ " -0.288015 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " 1.191726 | \n",
+ " 0.385174 | \n",
+ " -1.926789 | \n",
+ " 1.859338 | \n",
+ " -0.550103 | \n",
+ " -0.230068 | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " -0.794805 | \n",
+ " 0.218433 | \n",
+ " -1.661542 | \n",
+ " 1.195618 | \n",
+ " 0.058950 | \n",
+ " 0.798510 | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " -1.265058 | \n",
+ " -1.593317 | \n",
+ " -0.689436 | \n",
+ " 1.339644 | \n",
+ " -0.114019 | \n",
+ " -0.837737 | \n",
+ "
\n",
+ " \n",
+ " | ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ "
\n",
+ " \n",
+ " | 8945 | \n",
+ " 0.668484 | \n",
+ " -2.871696 | \n",
+ " 1.452469 | \n",
+ " -2.236975 | \n",
+ " -2.854943 | \n",
+ " 0.766981 | \n",
+ "
\n",
+ " \n",
+ " | 8946 | \n",
+ " 0.262604 | \n",
+ " -2.240280 | \n",
+ " 1.844972 | \n",
+ " -0.568118 | \n",
+ " -3.339266 | \n",
+ " 1.706628 | \n",
+ "
\n",
+ " \n",
+ " | 8947 | \n",
+ " 0.105962 | \n",
+ " -3.066758 | \n",
+ " 1.189320 | \n",
+ " -1.775107 | \n",
+ " -2.965850 | \n",
+ " 1.263333 | \n",
+ "
\n",
+ " \n",
+ " | 8948 | \n",
+ " -2.847160 | \n",
+ " -2.517979 | \n",
+ " -0.295195 | \n",
+ " -2.148352 | \n",
+ " -2.990361 | \n",
+ " 0.696690 | \n",
+ "
\n",
+ " \n",
+ " | 8949 | \n",
+ " -0.164604 | \n",
+ " -0.524308 | \n",
+ " -1.644250 | \n",
+ " -1.315554 | \n",
+ " -4.692532 | \n",
+ " 1.532319 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
8950 rows × 6 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " PC1 PC2 PC3 PC4 PC5 PC6\n",
+ "0 -0.885122 -2.483017 0.230902 0.807129 0.043370 -0.382026\n",
+ "1 -3.000343 2.015089 -0.165334 -1.087171 1.670938 -0.288015\n",
+ "2 1.191726 0.385174 -1.926789 1.859338 -0.550103 -0.230068\n",
+ "3 -0.794805 0.218433 -1.661542 1.195618 0.058950 0.798510\n",
+ "4 -1.265058 -1.593317 -0.689436 1.339644 -0.114019 -0.837737\n",
+ "... ... ... ... ... ... ...\n",
+ "8945 0.668484 -2.871696 1.452469 -2.236975 -2.854943 0.766981\n",
+ "8946 0.262604 -2.240280 1.844972 -0.568118 -3.339266 1.706628\n",
+ "8947 0.105962 -3.066758 1.189320 -1.775107 -2.965850 1.263333\n",
+ "8948 -2.847160 -2.517979 -0.295195 -2.148352 -2.990361 0.696690\n",
+ "8949 -0.164604 -0.524308 -1.644250 -1.315554 -4.692532 1.532319\n",
+ "\n",
+ "[8950 rows x 6 columns]"
+ ]
+ },
+ "execution_count": 22,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "id": "43cd6ac4",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.cluster import KMeans\n",
+ "wcss = [] \n",
+ "m = range(1,11)\n",
+ "for i in m: \n",
+ " kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n",
+ " kmeans.fit(df) \n",
+ " wcss.append(kmeans.inertia_)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "id": "c92a5f3c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(m,wcss,'bx-')\n",
+ "plt.plot(range(1, 11), wcss)\n",
+ "plt.xlabel('PC')\n",
+ "plt.ylabel('Inertia') \n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "id": "3bc1d641",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\"]]\n",
+ "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"m\")\n",
+ "plt.xlabel(\"PC1\")\n",
+ "plt.ylabel(\"PC2\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "id": "56584a51",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "K=3\n",
+ "\n",
+ "Centroids = (X.sample(n=K))\n",
+ "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"y\")\n",
+ "plt.scatter(Centroids[\"PC1\"], Centroids[\"PC2\"], c=\"red\")\n",
+ "plt.xlabel(\"PC1\")\n",
+ "plt.ylabel(\"PC2\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "id": "eed59606",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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+ " PC1 PC2 PC3 PC4 PC5 PC6\n",
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+ "execution_count": 27,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "Centroids"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "id": "49025993",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "-0.23005758751794309\n",
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+ "0.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "diff = 1\n",
+ "j=0\n",
+ "\n",
+ "while(diff!=0):\n",
+ " XD=X\n",
+ " i=1\n",
+ " for index1, row_c in Centroids.iterrows():\n",
+ " ED=[]\n",
+ " for index2, row_d in XD.iterrows():\n",
+ " d1 = (row_c[\"PC1\"]-row_d[\"PC1\"])**2\n",
+ " d2 = (row_c[\"PC2\"]-row_d[\"PC2\"])**2\n",
+ " d3 = (row_c[\"PC3\"]-row_d[\"PC3\"])**2\n",
+ " d4 = (row_c[\"PC4\"]-row_d[\"PC4\"])**2\n",
+ " d5 = (row_c[\"PC5\"]-row_d[\"PC5\"])**2\n",
+ " d6 = (row_c[\"PC6\"]-row_d[\"PC6\"])**2\n",
+ " \n",
+ " d = sqrt(d1+d2+d3+d4+d5+d6)\n",
+ " ED.append(d)\n",
+ " X[i] = ED\n",
+ " i = i+1\n",
+ " \n",
+ " C = []\n",
+ " for index, row in X.iterrows():\n",
+ " min_dist=row[1]\n",
+ " pos=1\n",
+ " for i in range(K):\n",
+ " if row[i+1] < min_dist:\n",
+ " min_dist = row[i+1]\n",
+ " pos = i+1\n",
+ " C.append(pos)\n",
+ " X[\"Cluster\"]=C\n",
+ " Centroids_new = X.groupby([\"Cluster\"]).mean()[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\"]]\n",
+ " if j == 0:\n",
+ " diff = 1\n",
+ " j = j+1\n",
+ " else:\n",
+ " diff = (Centroids_new['PC1'] - Centroids['PC1']).sum() + (Centroids_new['PC2'] - Centroids['PC2']).sum() + (Centroids_new['PC3'] - Centroids['PC3']).sum() + (Centroids_new['PC4'] - Centroids['PC4']).sum() +(Centroids_new['PC5'] - Centroids['PC5']).sum()+ (Centroids_new['PC6'] - Centroids['PC6']).sum()\n",
+ " print(diff.sum())\n",
+ " Centroids = X.groupby([\"Cluster\"]).mean()[[\"PC1\",\"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\"]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "id": "84595945",
+ "metadata": {},
+ "outputs": [
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+ " PC5 | \n",
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+ "
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+ ],
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+ " PC1 PC2 PC3 PC4 PC5 PC6 1 \\\n",
+ "0 -0.885122 -2.483017 0.230902 0.807129 0.043370 -0.382026 3.892347 \n",
+ "1 -3.000343 2.015089 -0.165334 -1.087171 1.670938 -0.288015 2.278485 \n",
+ "2 1.191726 0.385174 -1.926789 1.859338 -0.550103 -0.230068 4.673800 \n",
+ "3 -0.794805 0.218433 -1.661542 1.195618 0.058950 0.798510 2.952345 \n",
+ "4 -1.265058 -1.593317 -0.689436 1.339644 -0.114019 -0.837737 3.310867 \n",
+ "... ... ... ... ... ... ... ... \n",
+ "8945 0.668484 -2.871696 1.452469 -2.236975 -2.854943 0.766981 6.304943 \n",
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+ "8947 0.105962 -3.066758 1.189320 -1.775107 -2.965850 1.263333 6.113868 \n",
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+ "8949 -0.164604 -0.524308 -1.644250 -1.315554 -4.692532 1.532319 6.015829 \n",
+ "\n",
+ " 2 3 Cluster \n",
+ "0 5.711459 1.949079 3 \n",
+ "1 6.332207 5.424211 1 \n",
+ "2 3.306090 3.433723 2 \n",
+ "3 4.448837 3.139285 1 \n",
+ "4 5.546809 2.545982 3 \n",
+ "... ... ... ... \n",
+ "8945 6.443618 4.247216 3 \n",
+ "8946 6.333933 4.260482 3 \n",
+ "8947 6.710662 4.225640 3 \n",
+ "8948 8.006015 5.268191 1 \n",
+ "8949 6.406426 5.610537 3 \n",
+ "\n",
+ "[8950 rows x 10 columns]"
+ ]
+ },
+ "execution_count": 29,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "X"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "id": "8f267824",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "color=['red','green','cyan']\n",
+ "for k in range(K):\n",
+ " data=X[X[\"Cluster\"]==k+1]\n",
+ " plt.scatter(data[\"PC1\"],data[\"PC2\"],c=color[k])\n",
+ "plt.scatter(Centroids[\"PC1\"],Centroids[\"PC2\"],c='black')\n",
+ "plt.xlabel('PC1')\n",
+ "plt.ylabel('PC2')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "cab7d978",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.9.13"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
From 78cd9310e19e7dfad51bde79dd818cb593038513 Mon Sep 17 00:00:00 2001
From: ayushhimmatsinghka
<106641708+ayushhimmatsinghka@users.noreply.github.com>
Date: Thu, 16 Jun 2022 23:16:29 +0530
Subject: [PATCH 2/8] Add files via upload
---
Assignment 1/210245_AYUSH_1.ipynb | 2240 +++++++++++++++++++++++++++++
1 file changed, 2240 insertions(+)
create mode 100644 Assignment 1/210245_AYUSH_1.ipynb
diff --git a/Assignment 1/210245_AYUSH_1.ipynb b/Assignment 1/210245_AYUSH_1.ipynb
new file mode 100644
index 0000000..e18a4bc
--- /dev/null
+++ b/Assignment 1/210245_AYUSH_1.ipynb
@@ -0,0 +1,2240 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "0605c832",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np \n",
+ "import pandas as pd\n",
+ "import matplotlib as mpl\n",
+ "import matplotlib.pyplot as plt\n",
+ "import sys\n",
+ "import seaborn as sns\n",
+ "from math import sqrt\n",
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "9acae107",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df = pd.read_csv('Dataset.csv')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "fc052a38",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Columns names:-\n",
+ "['CUST_ID', 'BALANCE', 'BALANCE_FREQUENCY', 'PURCHASES', 'ONEOFF_PURCHASES', 'INSTALLMENTS_PURCHASES', 'CASH_ADVANCE', 'PURCHASES_FREQUENCY', 'ONEOFF_PURCHASES_FREQUENCY', 'PURCHASES_INSTALLMENTS_FREQUENCY', 'CASH_ADVANCE_FREQUENCY', 'CASH_ADVANCE_TRX', 'PURCHASES_TRX', 'CREDIT_LIMIT', 'PAYMENTS', 'MINIMUM_PAYMENTS', 'PRC_FULL_PAYMENT', 'TENURE']\n"
+ ]
+ }
+ ],
+ "source": [
+ "columns_names=df.columns.tolist()\n",
+ "print(\"Columns names:-\")\n",
+ "print(columns_names)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "44dfdd5e",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(8950, 18)"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "48026d16",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df.drop('CUST_ID', axis=1,inplace=True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "7d8489ae",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " BALANCE | \n",
+ " BALANCE_FREQUENCY | \n",
+ " PURCHASES | \n",
+ " ONEOFF_PURCHASES | \n",
+ " INSTALLMENTS_PURCHASES | \n",
+ " CASH_ADVANCE | \n",
+ " PURCHASES_FREQUENCY | \n",
+ " ONEOFF_PURCHASES_FREQUENCY | \n",
+ " PURCHASES_INSTALLMENTS_FREQUENCY | \n",
+ " CASH_ADVANCE_FREQUENCY | \n",
+ " CASH_ADVANCE_TRX | \n",
+ " PURCHASES_TRX | \n",
+ " CREDIT_LIMIT | \n",
+ " PAYMENTS | \n",
+ " MINIMUM_PAYMENTS | \n",
+ " PRC_FULL_PAYMENT | \n",
+ " TENURE | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " 40.900749 | \n",
+ " 0.818182 | \n",
+ " 95.40 | \n",
+ " 0.00 | \n",
+ " 95.4 | \n",
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+ " 0.166667 | \n",
+ " 0.000000 | \n",
+ " 0.083333 | \n",
+ " 0.000000 | \n",
+ " 0 | \n",
+ " 2 | \n",
+ " 1000.0 | \n",
+ " 201.802084 | \n",
+ " 139.509787 | \n",
+ " 0.000000 | \n",
+ " 12 | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " 3202.467416 | \n",
+ " 0.909091 | \n",
+ " 0.00 | \n",
+ " 0.00 | \n",
+ " 0.0 | \n",
+ " 6442.945483 | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 0.250000 | \n",
+ " 4 | \n",
+ " 0 | \n",
+ " 7000.0 | \n",
+ " 4103.032597 | \n",
+ " 1072.340217 | \n",
+ " 0.222222 | \n",
+ " 12 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " 2495.148862 | \n",
+ " 1.000000 | \n",
+ " 773.17 | \n",
+ " 773.17 | \n",
+ " 0.0 | \n",
+ " 0.000000 | \n",
+ " 1.000000 | \n",
+ " 1.000000 | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 0 | \n",
+ " 12 | \n",
+ " 7500.0 | \n",
+ " 622.066742 | \n",
+ " 627.284787 | \n",
+ " 0.000000 | \n",
+ " 12 | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " 1666.670542 | \n",
+ " 0.636364 | \n",
+ " 1499.00 | \n",
+ " 1499.00 | \n",
+ " 0.0 | \n",
+ " 205.788017 | \n",
+ " 0.083333 | \n",
+ " 0.083333 | \n",
+ " 0.000000 | \n",
+ " 0.083333 | \n",
+ " 1 | \n",
+ " 1 | \n",
+ " 7500.0 | \n",
+ " 0.000000 | \n",
+ " NaN | \n",
+ " 0.000000 | \n",
+ " 12 | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " 817.714335 | \n",
+ " 1.000000 | \n",
+ " 16.00 | \n",
+ " 16.00 | \n",
+ " 0.0 | \n",
+ " 0.000000 | \n",
+ " 0.083333 | \n",
+ " 0.083333 | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 0 | \n",
+ " 1 | \n",
+ " 1200.0 | \n",
+ " 678.334763 | \n",
+ " 244.791237 | \n",
+ " 0.000000 | \n",
+ " 12 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " BALANCE BALANCE_FREQUENCY PURCHASES ONEOFF_PURCHASES \\\n",
+ "0 40.900749 0.818182 95.40 0.00 \n",
+ "1 3202.467416 0.909091 0.00 0.00 \n",
+ "2 2495.148862 1.000000 773.17 773.17 \n",
+ "3 1666.670542 0.636364 1499.00 1499.00 \n",
+ "4 817.714335 1.000000 16.00 16.00 \n",
+ "\n",
+ " INSTALLMENTS_PURCHASES CASH_ADVANCE PURCHASES_FREQUENCY \\\n",
+ "0 95.4 0.000000 0.166667 \n",
+ "1 0.0 6442.945483 0.000000 \n",
+ "2 0.0 0.000000 1.000000 \n",
+ "3 0.0 205.788017 0.083333 \n",
+ "4 0.0 0.000000 0.083333 \n",
+ "\n",
+ " ONEOFF_PURCHASES_FREQUENCY PURCHASES_INSTALLMENTS_FREQUENCY \\\n",
+ "0 0.000000 0.083333 \n",
+ "1 0.000000 0.000000 \n",
+ "2 1.000000 0.000000 \n",
+ "3 0.083333 0.000000 \n",
+ "4 0.083333 0.000000 \n",
+ "\n",
+ " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX PURCHASES_TRX CREDIT_LIMIT \\\n",
+ "0 0.000000 0 2 1000.0 \n",
+ "1 0.250000 4 0 7000.0 \n",
+ "2 0.000000 0 12 7500.0 \n",
+ "3 0.083333 1 1 7500.0 \n",
+ "4 0.000000 0 1 1200.0 \n",
+ "\n",
+ " PAYMENTS MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n",
+ "0 201.802084 139.509787 0.000000 12 \n",
+ "1 4103.032597 1072.340217 0.222222 12 \n",
+ "2 622.066742 627.284787 0.000000 12 \n",
+ "3 0.000000 NaN 0.000000 12 \n",
+ "4 678.334763 244.791237 0.000000 12 "
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "c4fc0638",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x = df[\"MINIMUM_PAYMENTS\"].mean()\n",
+ "\n",
+ "df[\"MINIMUM_PAYMENTS\"].fillna(x, inplace = True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "c51c814b",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x = df[\"CREDIT_LIMIT\"].mean()\n",
+ "\n",
+ "df[\"CREDIT_LIMIT\"].fillna(x, inplace = True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "e05fc0c7",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ "output_type": "display_data"
+ },
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+ "output_type": "display_data"
+ },
+ {
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\n",
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+ "output_type": "display_data"
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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IeKL8nFfKIyIuj4iRiHgwIk5od8ydsPPLe+fnoDct7HRIkvpYJxqltwN/nJnHAO8CzouIY4BVwB2ZuQS4o8wDnAIsKZ+VwJXtD1mS+lvbk0VmbsrM+8v0i8BjwAJgBbCmrLYGOK1MrwCuzZq7gYGImN/eqCWpv3X0dpeIWAS8HbgHODwzN5VFzwCHl+kFwNN1m42WsrH7WhkR6yJi3ZYtW1oXtCT1oY51cEfEQcDfAhdk5k8iYteyzMyIyKnsLzNXA6sBli5dOqVt1X6N3pcBvhtD6lYdSRYR8TpqieK6zPxqKX42IuZn5qbSzLS5lG8EjqjbfGEpUw9r9L4M340hda+2J4uoXUJcDTyWmf+zbtFa4CzgU+XnrXXl50fEDcA7gRfqmqvUw8a+L0NS9+rElcV7gN8FHoqIB0rZf6aWJG6MiHOADcDpZdltwKnACPAScHZbo9WEGj1ACDYnSTNN25NFZv4jEOMsPqnB+gmc19KgNG2NHiBsZnNSo74NE5HUfj7BPYZfTlM39unvsRr9Tic7fMnYvg37NaTOMFmM4ZdT8zXqzJ7K8CX2bUidZ7JoYCZ9OXXLiLJjf6eOPSX1FpPFDOeIspKawWTRBxxRVtK+8u02kqRKJgtJUiWThSSpkslCklTJDm51jW65zVfS3kwW6hqTuc13X8ai8ul8afpMFuoqVbf57stYVD6dL02fyUI9p2osqonMpKfzpXayMViSVMkrC81I+zLSraS9mSwqeIdO9xvvHF3zj+uZd8SSXWWOiSVNn8miggPxdb+JztFUx8RqdEUC3jUlmSwmwYH4ul+zzlGjd29415RkspD24h1T0t5MFupb+9IfNZkH/GzS0kxislDfmmx/1GQ60Bs1VTWzScvEo04zWaivTaavYzId6OMllIN/7uimNGlNN/GYZNQsJgtpEqYzDMlk75ob+4X+yiuvADB79uxdZdNNPHbYq1l6JllExMnA54BZwBcy81MdDknaw3TvyBr7hT56/3eYNfdQ5i/5pV3rTLZ5bGyiaZRkpjsYo1cp/a0nkkVEzAL+Evg1YBQYioi1mfloZyNTI2O/jHyIsVr9HVhbR0fYf2D+NJvH9kw0jZJMo+2e3/B9znnvMMcdd9yuskaJZ+yDjl6l9I+eSBbAicBIZq4HiIgbgBVAS5JF/T/Mn24eZdbLL7PloDfsc1k/7Atg04P/xKf/+SfM+9bDADy3/mEGjjqW/faLroq1E/vaOjrC8PAO6g0PD7N19KnpxTD3UKq8uGl95XYv/egZPv3XP9h1zqB23mYdOJd5839+1/zAUcfutf9GVynqnFYl7sjMluy4mSLiI8DJmfn7Zf53gXdm5vl166wEVpbZXwAen+bhDgOe24dwu4l16U4zpS4zpR5gXXb6+cwcbLSgV64sKmXmamD1vu4nItZl5tImhNRx1qU7zZS6zJR6gHWZjF5pSN4IHFE3v7CUSZLaoFeSxRCwJCKOjIgDgDOAtR2OSZL6Rk80Q2Xm9og4H/gGtVtnr8nMR1p0uH1uyuoi1qU7zZS6zJR6gHWp1BMd3JKkzuqVZihJUgeZLCRJlUwWdSLi5Ih4PCJGImJVp+NpJCJ+GBEPRcQDEbGulB0SEbdHxBPl57xSHhFxeanPgxFxQt1+zirrPxERZ7Up9msiYnNEPFxX1rTYI+Id5XczUrYNWmScunwyIjaWc/NARJxat+wTJa7HI+KDdeUN/+bKzRz3lPIvlxs7WlGPIyLizoh4NCIeiYiPl/KeOy8T1KUXz8uciLg3IoZLXS6Z6PgRMbvMj5Tli6Zbx3Flpp9av80s4EngKOAAYBg4ptNxNYjzh8BhY8r+HFhVplcBny7TpwJ/DwTwLuCeUn4IsL78nFem57Uh9vcCJwAPtyJ24N6ybpRtT2lzXT4J/KcG6x5T/p5mA0eWv7NZE/3NATcCZ5Tpq4D/2KJ6zAdOKNNzgR+UeHvuvExQl148LwEcVKZfB9xTfocNjw+cC1xVps8AvjzdOo738cpit11DimTmz4CdQ4r0ghXAmjK9BjitrvzarLkbGIiI+cAHgdsz8/nM/DFwO3Byq4PMzO8Cz7ci9rLs4My8O2v/Sq6t21e76jKeFcANmflKZj4FjFD7e2v4N1f+5/1+4Kayff3vpakyc1Nm3l+mXwQeAxbQg+dlgrqMp5vPS2bmT8vs68onJzh+/fm6CTipxDulOk4Uk8litwXA03Xzo0z8h9YpCXwzIu6L2hAnAIdn5qYy/QxweJker07dVNdmxb6gTI8tb7fzS/PMNTubbph6XQ4Ftmbm9jHlLVWaLt5O7X+xPX1extQFevC8RMSsiHgA2Ewt+T45wfF3xVyWv1Dibdp3gMmi9/xKZp4AnAKcFxHvrV9Y/vfWk/dD93LsxZXA0cDxwCbgf3Q0mimIiIOAvwUuyMyf1C/rtfPSoC49eV4yc0dmHk9txIoTgV/sZDwmi916YkiRzNxYfm4Gbqb2R/Rsudyn/NxcVh+vTt1U12bFvrFMjy1vm8x8tvwDfw34K2rnBqZelx9Ra97Zf0x5S0TE66h9uV6XmV8txT15XhrVpVfPy06ZuRW4E3j3BMffFXNZ/sYSb/O+A1rROdOLH2pPs6+n1gm0s8PnrZ2Oa0yMbwDm1k3/M7W+hr9gz87IPy/Tv8GenZH3lvJDgKeodUTOK9OHtKkOi9izU7hpsbN3R+qpba7L/LrpP6LWVgzwVvbsZFxPrYNx3L854Cvs2ZF5bovqENT6ES4bU95z52WCuvTieRkEBsr0gcBdwIfGOz5wHnt2cN843TqOG1Mr/zH12ofanR4/oNY2eFGn42kQ31HlpA4Dj+yMkVrb5B3AE8C36v6RBrWXRj0JPAQsrdvX71Hr7BoBzm5T/NdTawZ4lVob6TnNjB1YCjxctvk8ZYSCNtblr0usD1Ibu6z+S+qiEtfj1N0NNN7fXDnX95Y6fgWY3aJ6/Aq1JqYHgQfK59RePC8T1KUXz8uxwPdKzA8D/2Wi4wNzyvxIWX7UdOs43sfhPiRJleyzkCRVMllIkiqZLCRJlUwWkqRKJgtJUiWThSSpkslCfSci/k1E3BART5Yxtm6LiLdExMtlCOtHI+La8jQwEfG+iHihbojrByLiA2XZjjL/SBlO+o8jYr+67b4WEWfXbfez2D3E/KfGie9jEfH5BuU/jIjDynRGxN/ULds/IrZExNfq9xERF9Ude0fd9B82/zermawn3sEtNUsZifNmYE1mnlHKjqM2UN6TmXl8RMyiNnDb6cB1ZdO7MvNDDXb5ctbG7yEi3gT8H+Bg4OKdK2TmF4EvlnV+CPxqZj63j1X5V+BtEXFgZr4M/BoNhmvIzEuBS8uxf7ozVmmqvLJQv/lV4NXMvGpnQWYOUzcCZ2buoPYU7JRGFM3aeF0rqY1w2rIXL9W5jdrwGwBnUnuqXGoJk4X6zduA+yZaISLmAO8Evl5XvHxMM9TRjbbNzJ1j77ypWQFP4AbgjBLvsewejltqOpuhpN2OLu8POBL4v5n5YN2y8ZqhOiYzHyzvbTiT2lWG1DJeWajfPAK8Y5xlT5Y2/aOBd0TEh6e684g4CtjB7iG9W20t8BlsglKLmSzUb74NzK57yyARcSx1Y/uXzudVwCemsuOIGKQ2bPTns30jdF4DXJKZD7XpeOpTJgv1lfIl/pvAB8qts48A/53aq0Pr3QK8PiKWl/mxfRYfKeUH7rx1ltpQ3t8ELmlCqB+LiNG6z8JGK2XmaGZe3oTjSRNyiHJJUiWvLCRJlbwbSuqQiDgb+PiY4n/KzPM6EY80EZuhJEmVbIaSJFUyWUiSKpksJEmVTBaSpEr/H+sol6iRgYjOAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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+ "output_type": "display_data"
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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I3sKiqv4XkGkWr5tifAEXTrOtrcDW0XUnSXom/Aa3JKmTYSFJ6mRYSJI6GRaSpE6GhSSpk2EhSepkWEiSOhkWkqROhoUkqZNhIUnqZFhIkjoZFpKkToaFJKmTYSFJ6mRYSJI6GRaSpE6GhSSpk2EhSerUW1gk2ZrkQJI7h2rHJdme5L72vrTVk+RjSXYluSPJKUPrbGrj70uyqa9+JUnT6/OTxSeADYfULgJ2VNUaYEebBzgTWNNem4HLYBAuwCXAacCpwCWTASNJmju9hUVVfRk4eEh5I7CtTW8Dzh6qX1EDNwFLkhwPnAFsr6qDVfUwsJ2nBpAkqWdzfc1ieVU90KYfBJa36RXAnqFxe1ttuvpTJNmcZGeSnRMTE6PtWpIWubFd4K6qAmqE29tSVWurau2yZctGtVlJEnMfFvvb6SXa+4FW3wesGhq3stWmq0uS5tBch8V1wOQdTZuAa4fq57W7ok4HHm2nq24E1idZ2i5sr281SdIcOrqvDSe5Eng98MIkexnc1fT7wNVJLgB2A+e04dcDZwG7gMeA8wGq6mCSS4Fb2rj3V9WhF80lST3rLSyq6u3TLFo3xdgCLpxmO1uBrSNsTZL0DPkNbklSJ8NCktTJsJAkdTIsJEmdDAtJUifDQpLUybCQJHUyLCRJnQwLSVInw0KS1MmwkCR1MiwkSZ0MC0lHrBWrTiDJyF4rVp0w7kMam96eOitJ4/bdvXt4259+ZWTb+9S7XjOybS00frKQJHUyLCTNyqhP8Sz20zzznaehprBi1Ql8d++ekW3v51auYt+e74xse4uRf5P5Z9SneGBxn+aZ7wyLKcz385yL8R/O+f43gcX5d9HiYVgsQAvhH87FyL+LjmQL5ppFkg1J7k2yK8lF4+5HkhaTBREWSY4C/hNwJnAS8PYkJ423K0laPBZEWACnAruq6v6q+jFwFbBxzD1J0qKRqhp3D52SvAXYUFXvbPO/BpxWVb85NGYzsLnNvhS49zB2+ULge4ex/nxxpBwHeCzz0ZFyHOCxTHpxVS2basERc4G7qrYAW0axrSQ7q2rtKLY1TkfKcYDHMh8dKccBHstMLJTTUPuAVUPzK1tNkjQHFkpY3AKsSXJikmOAc4HrxtyTJC0aC+I0VFU9nuQ3gRuBo4CtVXVXj7scyemseeBIOQ7wWOajI+U4wGPptCAucEuSxmuhnIaSJI2RYSFJ6mRYDEmyJMlnknwzyT1JXj3unmYjyUuT3D70+n6S94y7r9lI8q+T3JXkziRXJnnOuHuarSTvbsdx10L7eyTZmuRAkjuHascl2Z7kvva+dJw9ztQ0x/LW9nf5uyQL5hbaaY7lD9q/YXckuSbJklHsy7B4so8CN1TVy4BXAPeMuZ9Zqap7q+rkqjoZeBXwGHDNeLt65pKsAP4VsLaqXs7g5oZzx9vV7CR5OfAbDJ5G8ArgTUleMt6unpFPABsOqV0E7KiqNcCONr8QfIKnHsudwK8CX57zbg7PJ3jqsWwHXl5V/wD4P8DFo9iRYdEkeT7wOuBygKr6cVU9MtamRmMd8K2q2j3uRmbpaODYJEcDzwW+O+Z+ZusXgJur6rGqehz4EoN/nBaEqvoycPCQ8kZgW5veBpw9lz3N1lTHUlX3VNXhPPVhLKY5ls+1/8YAbmLwvbTDZlg84URgAvizJLcl+XiS5427qRE4F7hy3E3MRlXtAz4MfAd4AHi0qj433q5m7U7gHyZ5QZLnAmfx5C+aLkTLq+qBNv0gsHyczWhK/xz476PYkGHxhKOBU4DLquqVwA9ZOB+rp9S+wPhm4NPj7mU22jnwjQyC/OeA5yX5Z+Ptanaq6h7gQ8DngBuA24GfjLOnUarBPfjehz+PJHkv8DjwyVFsz7B4wl5gb1Xd3OY/wyA8FrIzga9X1f5xNzJL/wj4dlVNVNXfAp8FFuwvAlXV5VX1qqp6HfAwg/PJC9n+JMcDtPcDY+5HTZJfB94EvKNG9GU6w6KpqgeBPUle2krrgLvH2NIovJ0Fegqq+Q5wepLnJgmDv8mCvOkAIMmL2vsJDK5X/MV4Ozps1wGb2vQm4Nox9qImyQbgd4E3V9VjI9uu3+B+QpKTgY8DxwD3A+dX1cNjbWqW2vWW7wA/X1WPjruf2UryPuBtDD5O3wa8s6p+NN6uZifJ/wReAPwt8NtVtWPMLc1YkiuB1zN4/PV+4BLgvwJXAycAu4FzqurQi+DzzjTHchD4Y2AZ8Ahwe1WdMaYWZ2yaY7kYeDbwUBt2U1X9i8Pel2EhSeriaShJUifDQpLUybCQJHUyLCRJnQwLSVInw0Lq0B7RMfkE3weT7Buar0Oe8HtRW+eLSXYObWNtki+26V9P8h8P2ccXJ592muSvk3yjPTX0S0lePDTuJ1PtT+rbgvhZVWmcquoh4GSAJP8B+EFVfbjN/6A93XcqL0pyZlXN5tk8b6iq77Xvmfw7Bk+sBfh/T7M/qTd+spD68wfAew9zG18FVoygF+mwGBbS4Tn2kNNCbxta9lXgx0necBjb38Dgm9Iz2Z/UG09DSYen67TQBxicRvq9odp0j00Yrn8hyXHAD4B//wz2J/XCTxZSj6rq88CxwOlD5YeAQ3+C9Djge0PzbwBezOBR5u/rsUVpRgwLqX8fYPAU0Em3AK9N8vdgcKcUgwe/7Rleqf3a2XuA89qnDGlsPA0lHZ5jk9w+NH9DVT3pdtaquj7JxND8/iTvBq5P8iwGp5reXlV/d+jGq+qB9mTRC4FLZ7I/qQ8+dVaS1MnTUJKkToaFJKmTYSFJ6mRYSJI6GRaSpE6GhSSpk2EhSer0/wFSpais6wZWAAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for col in df:\n",
+ " plt.figure()\n",
+ " sns.histplot(df[col])\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "a252bb07",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "BALANCE 2.393386\n",
+ "BALANCE_FREQUENCY -2.023266\n",
+ "PURCHASES 8.144269\n",
+ "ONEOFF_PURCHASES 10.045083\n",
+ "INSTALLMENTS_PURCHASES 7.299120\n",
+ "CASH_ADVANCE 5.166609\n",
+ "PURCHASES_FREQUENCY 0.060164\n",
+ "ONEOFF_PURCHASES_FREQUENCY 1.535613\n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.509201\n",
+ "CASH_ADVANCE_FREQUENCY 1.828686\n",
+ "CASH_ADVANCE_TRX 5.721298\n",
+ "PURCHASES_TRX 4.630655\n",
+ "CREDIT_LIMIT 1.522549\n",
+ "PAYMENTS 5.907620\n",
+ "MINIMUM_PAYMENTS 13.867357\n",
+ "PRC_FULL_PAYMENT 1.942820\n",
+ "TENURE -2.943017\n",
+ "dtype: float64"
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.skew()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "0e85f23e",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "for col in df:\n",
+ " df[col]=np.sqrt(df[col])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "7331381d",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "BALANCE 0.829498\n",
+ "BALANCE_FREQUENCY -2.819495\n",
+ "PURCHASES 1.730752\n",
+ "ONEOFF_PURCHASES 2.129460\n",
+ "INSTALLMENTS_PURCHASES 1.546939\n",
+ "CASH_ADVANCE 1.486159\n",
+ "PURCHASES_FREQUENCY -0.421872\n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.724607\n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.130409\n",
+ "CASH_ADVANCE_FREQUENCY 0.706976\n",
+ "CASH_ADVANCE_TRX 1.417779\n",
+ "PURCHASES_TRX 1.185757\n",
+ "CREDIT_LIMIT 0.680933\n",
+ "PAYMENTS 1.951535\n",
+ "MINIMUM_PAYMENTS 3.805340\n",
+ "PRC_FULL_PAYMENT 1.297280\n",
+ "TENURE -3.064332\n",
+ "dtype: float64"
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.skew()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "c67024fe",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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6zUoAnl33CDOee54nttpqo+HpMm4o6tp61oS2/bNPrOWMi/6JWW++E4DH7r+XGVtty6w3z9louHPcs+vWcObvHLLRp9rP+vvr2Hr7HcedbyLLlKaDfvXeEJnDfyI+Io4BFmTmB8vr3wXemZkfbk1zEnBSefl24L5XscodgEdfxfz9MIw1gXVNxDDWBNY1EcNYE0xeXbtm5shYI6bLkUVVZl4AXDAZy4qIJZk5fzKWNVmGsSawrokYxprAuiZiGGuCwdQ1XZ7BvQrYpfV6TmmTJA3AdAmLm4F5EbFbRGwBHAssnuKaJGmzMS1OQ2Xm+oj4MHANza2zF2Xm3X1c5aSczppkw1gTWNdEDGNNYF0TMYw1wQDqmhYXuCVJU2u6nIaSJE0hw0KSVGVYtETEgoi4LyJWRMRpU1jHLhFxfUTcExF3R8Qppf2TEbEqIpaWryMGXNcDEXFnWfeS0rZ9RFwbEcvL9+0GXNPbW9tjaUT8LCJOnYptFREXRcSaiLir1Tbm9onG58t77Y6I2HfAdX02IpaVdV8ZEbNK+9yI+Hlru50/wJq6/s4i4vSyre6LiMP6UdM4dX2tVdMDEbG0tA9qW3XbHwz2vZWZfjXXbWYAPwbeCmwB3A7sOUW17AzsW4a3Bf4V2BP4JPDRKdxGDwA7dLT9GXBaGT4NOGeKf4cPA7tOxbYCfg3YF7irtn2AI4B/AgLYH7hxwHUdCswsw+e06prbnm7ANY35Oyvv/duBLYHdyt/pjEHV1TH+L4D/MeBt1W1/MND3lkcWL9nQpUhm/hsw2qXIwGXm6sy8tQw/BdwLzJ6KWnqwELi4DF8MHDV1pXAI8OPMfHAqVp6Z3wfWdTR32z4Lga9k40fArIjYeVB1Zea3M3N9efkjms8uDUyXbdXNQuCyzHw+M+8HVtD8vQ60rogI4P3Apf1Y9zg1ddsfDPS9ZVi8ZDbQ7iVvJUOwg46IucA+wI2l6cPl0PKiQZ/yoemk/dsRcUs03asA7JSZq8vww8BOA66p7Vg2/kOeym01qtv2Gab323+m+U901G4RcVtEfC8i3j3gWsb6nQ3Ltno38EhmLm+1DXRbdewPBvreMiyGWERsA3wDODUzfwacB7wN2BtYTXNIPEjvysx9gcOBkyPi19ojszkGnpJ7saP5sOZ7gX8oTVO9rV5mKrdPNxFxBrAeuKQ0rQbekpn7AB8B/ldEvGFA5Qzd76zDcWz8z8hAt9UY+4MNBvHeMixeMlRdikTEa2neGJdk5hUAmflIZr6QmS8Cf0ufDsW7ycxV5fsa4Mqy/kdGD3HL9zWDrKnlcODWzHyk1Dil26ql2/aZ8vdbRHwAOBI4vuxsKKd6HivDt9BcH/h3g6hnnN/ZMGyrmcB/Ar422jbIbTXW/oABv7cMi5cMTZci5dzohcC9mfmXrfb2ecejgbs65+1jTa+PiG1Hh2kukN5Fs40WlckWAVcNqqYOG/3XN5XbqkO37bMYOKHcubI/8GTrlELfRfMwsY8D783MZ1vtI9E8P4aIeCswD/jJgGrq9jtbDBwbEVtGxG6lppsGUVPLbwDLMnPlaMOgtlW3/QGDfm/1+0r+dPqiuYvgX2n+QzhjCut4F80h5R3A0vJ1BPBV4M7SvhjYeYA1vZXmjpTbgbtHtw/wJuA6YDnwHWD7KdherwceA97Yahv4tqIJq9XA/6M5T3xit+1Dc6fKF8p77U5g/oDrWkFzXnv0/XV+mfa3yu93KXAr8JsDrKnr7ww4o2yr+4DDB7mtSvuXgQ91TDuobdVtfzDQ95bdfUiSqjwNJUmqMiwkSVWGhSSpyrCQJFUZFpKkKsNCklRlWGjoRcSciLiqdMX844j4XERsEREHRURGxG+2pr06Ig4qwzeULq1Hu5D+emu6k6LpontZRNwUEe9qjeuc75jS/kJs3B363C71HhQRT5Zp7o2IM0v7ByLirzumvSEi5pfh0S7g7yh9De3amu6EiLirjL8tIj5a2r88Wl9r2qc7Xp8aEc9FxBtbbVtHxCVleXdFxL+U7iTG+jlPK+1HlnXfHk132X/Qw69Pm4hp8Qxubb7Kp1evAM7LzIXlE7MXAGcD/5vmg1NnAN/ssojjM3NJxzKPBP6Apq+rR6Pp7/8fI2K/zHy423zAzzNz7x5L/0FmHlk+7b40IrrV1+nXS01nAf8d+P2IOBw4FTg0M38aEVsCJ/S4PGg+3X4zTXcVf1faTqHpFO8XoXkuCM0H0WCMn7N0N3EBsF9mriw1zJ1ADZrmPLLQsDsYeC4z/w4gM18A/itNT6lb03yi/MmIeM8ElvkJ4GOZ+WhZ5q00XTyfPJmFl2U/A9wC7D7BWX/ISz2Fnk7znIeflmU+n5l/28tCIuJtwDY0wXNca9TOtPoLysz7MvP5cRa1Lc0/l6N9IT2fmff1+LNoE2BYaNi9g2Znu0E2PW7+X17aAZ9NszMcyyWt0ymf7bZMYElpH2u+N5W2rVptV/ZSfJl3f5puISZiAfCPZXivMept+2z7tFHHuGNpns3yA+DtETHajfVFwCci4ocR8emImNeap/1zLo2I387MdTRdcDwYEZdGxPER4f5jM+JpKE17mfn9iKB93aFlrNNJvXi1p6HeHRG3AS8Cn8nMu0evTYyh3efO9RGxPfA08Mc9rutjmdm+HtO+ZnEccHRmvhgR3wDeB/x1Zi6NpvO7Q2k6ybs5Ig7IzHvp8nNm5gcj4hfL9B8F3gN8oMcaNc35n4GG3T3AL7cbonlmwFtoOsMbNd7RRXWZ5fVE//sfzw8yc5/M/OXMHH0282NA50OYtgcebb3+dZrHwi4Fziptd49Rb1XZsc8Dro2IB2iOMjacisrMpzPzisz8Q+DvaTqnG1dm3pmZ59IExW9NtCZNX4aFht11wNYRcQJAucD9FzS9gG7oWjszv02zI/6lHpb5Z8A5o6eXImJvmv+QvziJdY/lZuDAiHhzWe98mudKt59qRjaPOz2Vppvp7YE/pTnVNDrfFhHxwR7WdxzwycycW75+AfiFiNg1Ig6M8iS6aLrk3xPo+jjaiNgmyl1mxd7jTa9Nj6ehNNQyMyPiaOCLEfHHNP/gfAv4I+CAjsnP5uXP07gkIn5ehh/NzN/IzMURMRv4PxGRwFPA72SfnyeRmY9ExCnAt8r5/qeB47J52E/ntKsj4lLg5Mz8VLnW8J1yd1jSXHOoOZaXHy1cWdpXA+eV5b2G5s6yb5Rptuq49vHPNNv24xHxN8DPgWfwFNRmxS7KJUlVnoaSJFV5Gkp6hSLiMOCcjub7M/PoqahH6idPQ0mSqjwNJUmqMiwkSVWGhSSpyrCQJFX9f45nQAO0EPQfAAAAAElFTkSuQmCC\n",
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+ "output_type": "display_data"
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ "output_type": "display_data"
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
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+ ""
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+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
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+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for col in df:\n",
+ " plt.figure()\n",
+ " sns.histplot(df[col])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "b098b8d8",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " BALANCE | \n",
+ " BALANCE_FREQUENCY | \n",
+ " PURCHASES | \n",
+ " ONEOFF_PURCHASES | \n",
+ " INSTALLMENTS_PURCHASES | \n",
+ " CASH_ADVANCE | \n",
+ " PURCHASES_FREQUENCY | \n",
+ " ONEOFF_PURCHASES_FREQUENCY | \n",
+ " PURCHASES_INSTALLMENTS_FREQUENCY | \n",
+ " CASH_ADVANCE_FREQUENCY | \n",
+ " CASH_ADVANCE_TRX | \n",
+ " PURCHASES_TRX | \n",
+ " CREDIT_LIMIT | \n",
+ " PAYMENTS | \n",
+ " MINIMUM_PAYMENTS | \n",
+ " PRC_FULL_PAYMENT | \n",
+ " TENURE | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | BALANCE | \n",
+ " 1.000000 | \n",
+ " 0.439550 | \n",
+ " 0.102217 | \n",
+ " 0.172933 | \n",
+ " 0.013676 | \n",
+ " 0.575879 | \n",
+ " -0.153306 | \n",
+ " 0.102318 | \n",
+ " -0.128057 | \n",
+ " 0.531558 | \n",
+ " 0.525505 | \n",
+ " 0.042819 | \n",
+ " 0.456740 | \n",
+ " 0.403422 | \n",
+ " 0.663993 | \n",
+ " -0.453893 | \n",
+ " 0.079000 | \n",
+ "
\n",
+ " \n",
+ " | BALANCE_FREQUENCY | \n",
+ " 0.439550 | \n",
+ " 1.000000 | \n",
+ " 0.166903 | \n",
+ " 0.147846 | \n",
+ " 0.142073 | \n",
+ " 0.138545 | \n",
+ " 0.154265 | \n",
+ " 0.181196 | \n",
+ " 0.123737 | \n",
+ " 0.192852 | \n",
+ " 0.180504 | \n",
+ " 0.194752 | \n",
+ " 0.093166 | \n",
+ " 0.171135 | \n",
+ " 0.192395 | \n",
+ " -0.056715 | \n",
+ " 0.093694 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES | \n",
+ " 0.102217 | \n",
+ " 0.166903 | \n",
+ " 1.000000 | \n",
+ " 0.852625 | \n",
+ " 0.728559 | \n",
+ " -0.236233 | \n",
+ " 0.687428 | \n",
+ " 0.672055 | \n",
+ " 0.527451 | \n",
+ " -0.300179 | \n",
+ " -0.254318 | \n",
+ " 0.843175 | \n",
+ " 0.341895 | \n",
+ " 0.496092 | \n",
+ " 0.079384 | \n",
+ " 0.245880 | \n",
+ " 0.116914 | \n",
+ "
\n",
+ " \n",
+ " | ONEOFF_PURCHASES | \n",
+ " 0.172933 | \n",
+ " 0.147846 | \n",
+ " 0.852625 | \n",
+ " 1.000000 | \n",
+ " 0.306789 | \n",
+ " -0.123410 | \n",
+ " 0.422181 | \n",
+ " 0.824324 | \n",
+ " 0.154497 | \n",
+ " -0.156438 | \n",
+ " -0.129146 | \n",
+ " 0.637828 | \n",
+ " 0.352743 | \n",
+ " 0.471265 | \n",
+ " 0.051873 | \n",
+ " 0.113810 | \n",
+ " 0.090035 | \n",
+ "
\n",
+ " \n",
+ " | INSTALLMENTS_PURCHASES | \n",
+ " 0.013676 | \n",
+ " 0.142073 | \n",
+ " 0.728559 | \n",
+ " 0.306789 | \n",
+ " 1.000000 | \n",
+ " -0.230397 | \n",
+ " 0.683154 | \n",
+ " 0.231340 | \n",
+ " 0.815592 | \n",
+ " -0.292878 | \n",
+ " -0.247026 | \n",
+ " 0.757427 | \n",
+ " 0.205210 | \n",
+ " 0.330005 | \n",
+ " 0.078573 | \n",
+ " 0.269962 | \n",
+ " 0.108182 | \n",
+ "
\n",
+ " \n",
+ " | CASH_ADVANCE | \n",
+ " 0.575879 | \n",
+ " 0.138545 | \n",
+ " -0.236233 | \n",
+ " -0.123410 | \n",
+ " -0.230397 | \n",
+ " 1.000000 | \n",
+ " -0.392948 | \n",
+ " -0.152434 | \n",
+ " -0.309058 | \n",
+ " 0.834290 | \n",
+ " 0.848970 | \n",
+ " -0.273181 | \n",
+ " 0.261001 | \n",
+ " 0.368825 | \n",
+ " 0.325816 | \n",
+ " -0.233943 | \n",
+ " -0.096013 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES_FREQUENCY | \n",
+ " -0.153306 | \n",
+ " 0.154265 | \n",
+ " 0.687428 | \n",
+ " 0.422181 | \n",
+ " 0.683154 | \n",
+ " -0.392948 | \n",
+ " 1.000000 | \n",
+ " 0.508031 | \n",
+ " 0.831387 | \n",
+ " -0.457631 | \n",
+ " -0.397722 | \n",
+ " 0.820786 | \n",
+ " 0.110645 | \n",
+ " 0.122729 | \n",
+ " -0.053435 | \n",
+ " 0.308474 | \n",
+ " 0.066970 | \n",
+ "
\n",
+ " \n",
+ " | ONEOFF_PURCHASES_FREQUENCY | \n",
+ " 0.102318 | \n",
+ " 0.181196 | \n",
+ " 0.672055 | \n",
+ " 0.824324 | \n",
+ " 0.231340 | \n",
+ " -0.152434 | \n",
+ " 0.508031 | \n",
+ " 1.000000 | \n",
+ " 0.130807 | \n",
+ " -0.164373 | \n",
+ " -0.137542 | \n",
+ " 0.627696 | \n",
+ " 0.296455 | \n",
+ " 0.300928 | \n",
+ " -0.009630 | \n",
+ " 0.099064 | \n",
+ " 0.083856 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES_INSTALLMENTS_FREQUENCY | \n",
+ " -0.128057 | \n",
+ " 0.123737 | \n",
+ " 0.527451 | \n",
+ " 0.154497 | \n",
+ " 0.815592 | \n",
+ " -0.309058 | \n",
+ " 0.831387 | \n",
+ " 0.130807 | \n",
+ " 1.000000 | \n",
+ " -0.366260 | \n",
+ " -0.315583 | \n",
+ " 0.715472 | \n",
+ " 0.058378 | \n",
+ " 0.102431 | \n",
+ " -0.018277 | \n",
+ " 0.275739 | \n",
+ " 0.073884 | \n",
+ "
\n",
+ " \n",
+ " | CASH_ADVANCE_FREQUENCY | \n",
+ " 0.531558 | \n",
+ " 0.192852 | \n",
+ " -0.300179 | \n",
+ " -0.156438 | \n",
+ " -0.292878 | \n",
+ " 0.834290 | \n",
+ " -0.457631 | \n",
+ " -0.164373 | \n",
+ " -0.366260 | \n",
+ " 1.000000 | \n",
+ " 0.939703 | \n",
+ " -0.325492 | \n",
+ " 0.100658 | \n",
+ " 0.205875 | \n",
+ " 0.278039 | \n",
+ " -0.305366 | \n",
+ " -0.124117 | \n",
+ "
\n",
+ " \n",
+ " | CASH_ADVANCE_TRX | \n",
+ " 0.525505 | \n",
+ " 0.180504 | \n",
+ " -0.254318 | \n",
+ " -0.129146 | \n",
+ " -0.247026 | \n",
+ " 0.848970 | \n",
+ " -0.397722 | \n",
+ " -0.137542 | \n",
+ " -0.315583 | \n",
+ " 0.939703 | \n",
+ " 1.000000 | \n",
+ " -0.273108 | \n",
+ " 0.133933 | \n",
+ " 0.256674 | \n",
+ " 0.302627 | \n",
+ " -0.266926 | \n",
+ " -0.072471 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES_TRX | \n",
+ " 0.042819 | \n",
+ " 0.194752 | \n",
+ " 0.843175 | \n",
+ " 0.637828 | \n",
+ " 0.757427 | \n",
+ " -0.273181 | \n",
+ " 0.820786 | \n",
+ " 0.627696 | \n",
+ " 0.715472 | \n",
+ " -0.325492 | \n",
+ " -0.273108 | \n",
+ " 1.000000 | \n",
+ " 0.250522 | \n",
+ " 0.341845 | \n",
+ " 0.062609 | \n",
+ " 0.240429 | \n",
+ " 0.145224 | \n",
+ "
\n",
+ " \n",
+ " | CREDIT_LIMIT | \n",
+ " 0.456740 | \n",
+ " 0.093166 | \n",
+ " 0.341895 | \n",
+ " 0.352743 | \n",
+ " 0.205210 | \n",
+ " 0.261001 | \n",
+ " 0.110645 | \n",
+ " 0.296455 | \n",
+ " 0.058378 | \n",
+ " 0.100658 | \n",
+ " 0.133933 | \n",
+ " 0.250522 | \n",
+ " 1.000000 | \n",
+ " 0.461019 | \n",
+ " 0.228766 | \n",
+ " 0.039825 | \n",
+ " 0.158845 | \n",
+ "
\n",
+ " \n",
+ " | PAYMENTS | \n",
+ " 0.403422 | \n",
+ " 0.171135 | \n",
+ " 0.496092 | \n",
+ " 0.471265 | \n",
+ " 0.330005 | \n",
+ " 0.368825 | \n",
+ " 0.122729 | \n",
+ " 0.300928 | \n",
+ " 0.102431 | \n",
+ " 0.205875 | \n",
+ " 0.256674 | \n",
+ " 0.341845 | \n",
+ " 0.461019 | \n",
+ " 1.000000 | \n",
+ " 0.241452 | \n",
+ " 0.175619 | \n",
+ " 0.174052 | \n",
+ "
\n",
+ " \n",
+ " | MINIMUM_PAYMENTS | \n",
+ " 0.663993 | \n",
+ " 0.192395 | \n",
+ " 0.079384 | \n",
+ " 0.051873 | \n",
+ " 0.078573 | \n",
+ " 0.325816 | \n",
+ " -0.053435 | \n",
+ " -0.009630 | \n",
+ " -0.018277 | \n",
+ " 0.278039 | \n",
+ " 0.302627 | \n",
+ " 0.062609 | \n",
+ " 0.228766 | \n",
+ " 0.241452 | \n",
+ " 1.000000 | \n",
+ " -0.319688 | \n",
+ " 0.103005 | \n",
+ "
\n",
+ " \n",
+ " | PRC_FULL_PAYMENT | \n",
+ " -0.453893 | \n",
+ " -0.056715 | \n",
+ " 0.245880 | \n",
+ " 0.113810 | \n",
+ " 0.269962 | \n",
+ " -0.233943 | \n",
+ " 0.308474 | \n",
+ " 0.099064 | \n",
+ " 0.275739 | \n",
+ " -0.305366 | \n",
+ " -0.266926 | \n",
+ " 0.240429 | \n",
+ " 0.039825 | \n",
+ " 0.175619 | \n",
+ " -0.319688 | \n",
+ " 1.000000 | \n",
+ " -0.001969 | \n",
+ "
\n",
+ " \n",
+ " | TENURE | \n",
+ " 0.079000 | \n",
+ " 0.093694 | \n",
+ " 0.116914 | \n",
+ " 0.090035 | \n",
+ " 0.108182 | \n",
+ " -0.096013 | \n",
+ " 0.066970 | \n",
+ " 0.083856 | \n",
+ " 0.073884 | \n",
+ " -0.124117 | \n",
+ " -0.072471 | \n",
+ " 0.145224 | \n",
+ " 0.158845 | \n",
+ " 0.174052 | \n",
+ " 0.103005 | \n",
+ " -0.001969 | \n",
+ " 1.000000 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " BALANCE BALANCE_FREQUENCY PURCHASES \\\n",
+ "BALANCE 1.000000 0.439550 0.102217 \n",
+ "BALANCE_FREQUENCY 0.439550 1.000000 0.166903 \n",
+ "PURCHASES 0.102217 0.166903 1.000000 \n",
+ "ONEOFF_PURCHASES 0.172933 0.147846 0.852625 \n",
+ "INSTALLMENTS_PURCHASES 0.013676 0.142073 0.728559 \n",
+ "CASH_ADVANCE 0.575879 0.138545 -0.236233 \n",
+ "PURCHASES_FREQUENCY -0.153306 0.154265 0.687428 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.102318 0.181196 0.672055 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.128057 0.123737 0.527451 \n",
+ "CASH_ADVANCE_FREQUENCY 0.531558 0.192852 -0.300179 \n",
+ "CASH_ADVANCE_TRX 0.525505 0.180504 -0.254318 \n",
+ "PURCHASES_TRX 0.042819 0.194752 0.843175 \n",
+ "CREDIT_LIMIT 0.456740 0.093166 0.341895 \n",
+ "PAYMENTS 0.403422 0.171135 0.496092 \n",
+ "MINIMUM_PAYMENTS 0.663993 0.192395 0.079384 \n",
+ "PRC_FULL_PAYMENT -0.453893 -0.056715 0.245880 \n",
+ "TENURE 0.079000 0.093694 0.116914 \n",
+ "\n",
+ " ONEOFF_PURCHASES INSTALLMENTS_PURCHASES \\\n",
+ "BALANCE 0.172933 0.013676 \n",
+ "BALANCE_FREQUENCY 0.147846 0.142073 \n",
+ "PURCHASES 0.852625 0.728559 \n",
+ "ONEOFF_PURCHASES 1.000000 0.306789 \n",
+ "INSTALLMENTS_PURCHASES 0.306789 1.000000 \n",
+ "CASH_ADVANCE -0.123410 -0.230397 \n",
+ "PURCHASES_FREQUENCY 0.422181 0.683154 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.824324 0.231340 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.154497 0.815592 \n",
+ "CASH_ADVANCE_FREQUENCY -0.156438 -0.292878 \n",
+ "CASH_ADVANCE_TRX -0.129146 -0.247026 \n",
+ "PURCHASES_TRX 0.637828 0.757427 \n",
+ "CREDIT_LIMIT 0.352743 0.205210 \n",
+ "PAYMENTS 0.471265 0.330005 \n",
+ "MINIMUM_PAYMENTS 0.051873 0.078573 \n",
+ "PRC_FULL_PAYMENT 0.113810 0.269962 \n",
+ "TENURE 0.090035 0.108182 \n",
+ "\n",
+ " CASH_ADVANCE PURCHASES_FREQUENCY \\\n",
+ "BALANCE 0.575879 -0.153306 \n",
+ "BALANCE_FREQUENCY 0.138545 0.154265 \n",
+ "PURCHASES -0.236233 0.687428 \n",
+ "ONEOFF_PURCHASES -0.123410 0.422181 \n",
+ "INSTALLMENTS_PURCHASES -0.230397 0.683154 \n",
+ "CASH_ADVANCE 1.000000 -0.392948 \n",
+ "PURCHASES_FREQUENCY -0.392948 1.000000 \n",
+ "ONEOFF_PURCHASES_FREQUENCY -0.152434 0.508031 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.309058 0.831387 \n",
+ "CASH_ADVANCE_FREQUENCY 0.834290 -0.457631 \n",
+ "CASH_ADVANCE_TRX 0.848970 -0.397722 \n",
+ "PURCHASES_TRX -0.273181 0.820786 \n",
+ "CREDIT_LIMIT 0.261001 0.110645 \n",
+ "PAYMENTS 0.368825 0.122729 \n",
+ "MINIMUM_PAYMENTS 0.325816 -0.053435 \n",
+ "PRC_FULL_PAYMENT -0.233943 0.308474 \n",
+ "TENURE -0.096013 0.066970 \n",
+ "\n",
+ " ONEOFF_PURCHASES_FREQUENCY \\\n",
+ "BALANCE 0.102318 \n",
+ "BALANCE_FREQUENCY 0.181196 \n",
+ "PURCHASES 0.672055 \n",
+ "ONEOFF_PURCHASES 0.824324 \n",
+ "INSTALLMENTS_PURCHASES 0.231340 \n",
+ "CASH_ADVANCE -0.152434 \n",
+ "PURCHASES_FREQUENCY 0.508031 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 1.000000 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.130807 \n",
+ "CASH_ADVANCE_FREQUENCY -0.164373 \n",
+ "CASH_ADVANCE_TRX -0.137542 \n",
+ "PURCHASES_TRX 0.627696 \n",
+ "CREDIT_LIMIT 0.296455 \n",
+ "PAYMENTS 0.300928 \n",
+ "MINIMUM_PAYMENTS -0.009630 \n",
+ "PRC_FULL_PAYMENT 0.099064 \n",
+ "TENURE 0.083856 \n",
+ "\n",
+ " PURCHASES_INSTALLMENTS_FREQUENCY \\\n",
+ "BALANCE -0.128057 \n",
+ "BALANCE_FREQUENCY 0.123737 \n",
+ "PURCHASES 0.527451 \n",
+ "ONEOFF_PURCHASES 0.154497 \n",
+ "INSTALLMENTS_PURCHASES 0.815592 \n",
+ "CASH_ADVANCE -0.309058 \n",
+ "PURCHASES_FREQUENCY 0.831387 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.130807 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 1.000000 \n",
+ "CASH_ADVANCE_FREQUENCY -0.366260 \n",
+ "CASH_ADVANCE_TRX -0.315583 \n",
+ "PURCHASES_TRX 0.715472 \n",
+ "CREDIT_LIMIT 0.058378 \n",
+ "PAYMENTS 0.102431 \n",
+ "MINIMUM_PAYMENTS -0.018277 \n",
+ "PRC_FULL_PAYMENT 0.275739 \n",
+ "TENURE 0.073884 \n",
+ "\n",
+ " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX \\\n",
+ "BALANCE 0.531558 0.525505 \n",
+ "BALANCE_FREQUENCY 0.192852 0.180504 \n",
+ "PURCHASES -0.300179 -0.254318 \n",
+ "ONEOFF_PURCHASES -0.156438 -0.129146 \n",
+ "INSTALLMENTS_PURCHASES -0.292878 -0.247026 \n",
+ "CASH_ADVANCE 0.834290 0.848970 \n",
+ "PURCHASES_FREQUENCY -0.457631 -0.397722 \n",
+ "ONEOFF_PURCHASES_FREQUENCY -0.164373 -0.137542 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.366260 -0.315583 \n",
+ "CASH_ADVANCE_FREQUENCY 1.000000 0.939703 \n",
+ "CASH_ADVANCE_TRX 0.939703 1.000000 \n",
+ "PURCHASES_TRX -0.325492 -0.273108 \n",
+ "CREDIT_LIMIT 0.100658 0.133933 \n",
+ "PAYMENTS 0.205875 0.256674 \n",
+ "MINIMUM_PAYMENTS 0.278039 0.302627 \n",
+ "PRC_FULL_PAYMENT -0.305366 -0.266926 \n",
+ "TENURE -0.124117 -0.072471 \n",
+ "\n",
+ " PURCHASES_TRX CREDIT_LIMIT PAYMENTS \\\n",
+ "BALANCE 0.042819 0.456740 0.403422 \n",
+ "BALANCE_FREQUENCY 0.194752 0.093166 0.171135 \n",
+ "PURCHASES 0.843175 0.341895 0.496092 \n",
+ "ONEOFF_PURCHASES 0.637828 0.352743 0.471265 \n",
+ "INSTALLMENTS_PURCHASES 0.757427 0.205210 0.330005 \n",
+ "CASH_ADVANCE -0.273181 0.261001 0.368825 \n",
+ "PURCHASES_FREQUENCY 0.820786 0.110645 0.122729 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.627696 0.296455 0.300928 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.715472 0.058378 0.102431 \n",
+ "CASH_ADVANCE_FREQUENCY -0.325492 0.100658 0.205875 \n",
+ "CASH_ADVANCE_TRX -0.273108 0.133933 0.256674 \n",
+ "PURCHASES_TRX 1.000000 0.250522 0.341845 \n",
+ "CREDIT_LIMIT 0.250522 1.000000 0.461019 \n",
+ "PAYMENTS 0.341845 0.461019 1.000000 \n",
+ "MINIMUM_PAYMENTS 0.062609 0.228766 0.241452 \n",
+ "PRC_FULL_PAYMENT 0.240429 0.039825 0.175619 \n",
+ "TENURE 0.145224 0.158845 0.174052 \n",
+ "\n",
+ " MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n",
+ "BALANCE 0.663993 -0.453893 0.079000 \n",
+ "BALANCE_FREQUENCY 0.192395 -0.056715 0.093694 \n",
+ "PURCHASES 0.079384 0.245880 0.116914 \n",
+ "ONEOFF_PURCHASES 0.051873 0.113810 0.090035 \n",
+ "INSTALLMENTS_PURCHASES 0.078573 0.269962 0.108182 \n",
+ "CASH_ADVANCE 0.325816 -0.233943 -0.096013 \n",
+ "PURCHASES_FREQUENCY -0.053435 0.308474 0.066970 \n",
+ "ONEOFF_PURCHASES_FREQUENCY -0.009630 0.099064 0.083856 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.018277 0.275739 0.073884 \n",
+ "CASH_ADVANCE_FREQUENCY 0.278039 -0.305366 -0.124117 \n",
+ "CASH_ADVANCE_TRX 0.302627 -0.266926 -0.072471 \n",
+ "PURCHASES_TRX 0.062609 0.240429 0.145224 \n",
+ "CREDIT_LIMIT 0.228766 0.039825 0.158845 \n",
+ "PAYMENTS 0.241452 0.175619 0.174052 \n",
+ "MINIMUM_PAYMENTS 1.000000 -0.319688 0.103005 \n",
+ "PRC_FULL_PAYMENT -0.319688 1.000000 -0.001969 \n",
+ "TENURE 0.103005 -0.001969 1.000000 "
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.corr()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "a82b1f8c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0.5, 1.0, 'Correlation between different fearures')"
+ ]
+ },
+ "execution_count": 15,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "correlation = df.corr()\n",
+ "plt.figure(figsize=(17,17))\n",
+ "sns.heatmap(correlation, vmax=1, square=True,annot=True,cmap='cubehelix')\n",
+ "\n",
+ "plt.title('Correlation between different fearures')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "9d5b292b",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.preprocessing import StandardScaler\n",
+ "df_std = StandardScaler().fit_transform(df)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "9beb9e47",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0, 0.5, 'Cumulative explained variance')"
+ ]
+ },
+ "execution_count": 17,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.decomposition import PCA\n",
+ "pca = PCA().fit(df_std)\n",
+ "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
+ "plt.xlim(0,16,1)\n",
+ "plt.xlabel('Number of components')\n",
+ "plt.ylabel('Cumulative explained variance')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "0aceae0d",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.decomposition import PCA \n",
+ "sklearn_pca = PCA(n_components=6)\n",
+ "Y_sklearn = sklearn_pca.fit_transform(df_std)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "3835d517",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[[-0.88512191 -2.48301693 0.23090242 0.80712881 0.04336989 -0.38202562]\n",
+ " [-3.00034342 2.01508943 -0.16533426 -1.08717122 1.67093843 -0.28801526]\n",
+ " [ 1.19172624 0.38517395 -1.92678896 1.85933784 -0.55010278 -0.23006842]\n",
+ " ...\n",
+ " [ 0.10596162 -3.06675754 1.18931984 -1.77510721 -2.96585047 1.26333337]\n",
+ " [-2.84716017 -2.51797947 -0.29519488 -2.14835177 -2.99036079 0.69668999]\n",
+ " [-0.16460436 -0.5243077 -1.64424995 -1.31555393 -4.69253162 1.53231934]]\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(Y_sklearn)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "6d4d3568",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(8950, 6)"
+ ]
+ },
+ "execution_count": 20,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "Y_sklearn.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "873a3243",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df= pd.DataFrame(Y_sklearn,columns=['PC1','PC2','PC3','PC4','PC5','PC6'])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "id": "b093c72a",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " PC1 | \n",
+ " PC2 | \n",
+ " PC3 | \n",
+ " PC4 | \n",
+ " PC5 | \n",
+ " PC6 | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " -0.885122 | \n",
+ " -2.483017 | \n",
+ " 0.230902 | \n",
+ " 0.807129 | \n",
+ " 0.043370 | \n",
+ " -0.382026 | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " -3.000343 | \n",
+ " 2.015089 | \n",
+ " -0.165334 | \n",
+ " -1.087171 | \n",
+ " 1.670938 | \n",
+ " -0.288015 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " 1.191726 | \n",
+ " 0.385174 | \n",
+ " -1.926789 | \n",
+ " 1.859338 | \n",
+ " -0.550103 | \n",
+ " -0.230068 | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " -0.794805 | \n",
+ " 0.218433 | \n",
+ " -1.661542 | \n",
+ " 1.195618 | \n",
+ " 0.058950 | \n",
+ " 0.798510 | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " -1.265058 | \n",
+ " -1.593317 | \n",
+ " -0.689436 | \n",
+ " 1.339644 | \n",
+ " -0.114019 | \n",
+ " -0.837737 | \n",
+ "
\n",
+ " \n",
+ " | ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ "
\n",
+ " \n",
+ " | 8945 | \n",
+ " 0.668484 | \n",
+ " -2.871696 | \n",
+ " 1.452469 | \n",
+ " -2.236975 | \n",
+ " -2.854943 | \n",
+ " 0.766981 | \n",
+ "
\n",
+ " \n",
+ " | 8946 | \n",
+ " 0.262604 | \n",
+ " -2.240280 | \n",
+ " 1.844972 | \n",
+ " -0.568118 | \n",
+ " -3.339266 | \n",
+ " 1.706628 | \n",
+ "
\n",
+ " \n",
+ " | 8947 | \n",
+ " 0.105962 | \n",
+ " -3.066758 | \n",
+ " 1.189320 | \n",
+ " -1.775107 | \n",
+ " -2.965850 | \n",
+ " 1.263333 | \n",
+ "
\n",
+ " \n",
+ " | 8948 | \n",
+ " -2.847160 | \n",
+ " -2.517979 | \n",
+ " -0.295195 | \n",
+ " -2.148352 | \n",
+ " -2.990361 | \n",
+ " 0.696690 | \n",
+ "
\n",
+ " \n",
+ " | 8949 | \n",
+ " -0.164604 | \n",
+ " -0.524308 | \n",
+ " -1.644250 | \n",
+ " -1.315554 | \n",
+ " -4.692532 | \n",
+ " 1.532319 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
8950 rows × 6 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " PC1 PC2 PC3 PC4 PC5 PC6\n",
+ "0 -0.885122 -2.483017 0.230902 0.807129 0.043370 -0.382026\n",
+ "1 -3.000343 2.015089 -0.165334 -1.087171 1.670938 -0.288015\n",
+ "2 1.191726 0.385174 -1.926789 1.859338 -0.550103 -0.230068\n",
+ "3 -0.794805 0.218433 -1.661542 1.195618 0.058950 0.798510\n",
+ "4 -1.265058 -1.593317 -0.689436 1.339644 -0.114019 -0.837737\n",
+ "... ... ... ... ... ... ...\n",
+ "8945 0.668484 -2.871696 1.452469 -2.236975 -2.854943 0.766981\n",
+ "8946 0.262604 -2.240280 1.844972 -0.568118 -3.339266 1.706628\n",
+ "8947 0.105962 -3.066758 1.189320 -1.775107 -2.965850 1.263333\n",
+ "8948 -2.847160 -2.517979 -0.295195 -2.148352 -2.990361 0.696690\n",
+ "8949 -0.164604 -0.524308 -1.644250 -1.315554 -4.692532 1.532319\n",
+ "\n",
+ "[8950 rows x 6 columns]"
+ ]
+ },
+ "execution_count": 22,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "id": "43cd6ac4",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.cluster import KMeans\n",
+ "wcss = [] \n",
+ "m = range(1,11)\n",
+ "for i in m: \n",
+ " kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n",
+ " kmeans.fit(df) \n",
+ " wcss.append(kmeans.inertia_)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "id": "c92a5f3c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(m,wcss,'bx-')\n",
+ "plt.plot(range(1, 11), wcss)\n",
+ "plt.xlabel('PC')\n",
+ "plt.ylabel('Inertia') \n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "id": "3bc1d641",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\"]]\n",
+ "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"m\")\n",
+ "plt.xlabel(\"PC1\")\n",
+ "plt.ylabel(\"PC2\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "id": "56584a51",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "K=3\n",
+ "\n",
+ "Centroids = (X.sample(n=K))\n",
+ "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"y\")\n",
+ "plt.scatter(Centroids[\"PC1\"], Centroids[\"PC2\"], c=\"red\")\n",
+ "plt.xlabel(\"PC1\")\n",
+ "plt.ylabel(\"PC2\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "id": "eed59606",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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+ " PC1 PC2 PC3 PC4 PC5 PC6\n",
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+ "execution_count": 27,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "Centroids"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "id": "49025993",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "-0.23005758751794309\n",
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+ "0.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "diff = 1\n",
+ "j=0\n",
+ "\n",
+ "while(diff!=0):\n",
+ " XD=X\n",
+ " i=1\n",
+ " for index1, row_c in Centroids.iterrows():\n",
+ " ED=[]\n",
+ " for index2, row_d in XD.iterrows():\n",
+ " d1 = (row_c[\"PC1\"]-row_d[\"PC1\"])**2\n",
+ " d2 = (row_c[\"PC2\"]-row_d[\"PC2\"])**2\n",
+ " d3 = (row_c[\"PC3\"]-row_d[\"PC3\"])**2\n",
+ " d4 = (row_c[\"PC4\"]-row_d[\"PC4\"])**2\n",
+ " d5 = (row_c[\"PC5\"]-row_d[\"PC5\"])**2\n",
+ " d6 = (row_c[\"PC6\"]-row_d[\"PC6\"])**2\n",
+ " \n",
+ " d = sqrt(d1+d2+d3+d4+d5+d6)\n",
+ " ED.append(d)\n",
+ " X[i] = ED\n",
+ " i = i+1\n",
+ " \n",
+ " C = []\n",
+ " for index, row in X.iterrows():\n",
+ " min_dist=row[1]\n",
+ " pos=1\n",
+ " for i in range(K):\n",
+ " if row[i+1] < min_dist:\n",
+ " min_dist = row[i+1]\n",
+ " pos = i+1\n",
+ " C.append(pos)\n",
+ " X[\"Cluster\"]=C\n",
+ " Centroids_new = X.groupby([\"Cluster\"]).mean()[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\"]]\n",
+ " if j == 0:\n",
+ " diff = 1\n",
+ " j = j+1\n",
+ " else:\n",
+ " diff = (Centroids_new['PC1'] - Centroids['PC1']).sum() + (Centroids_new['PC2'] - Centroids['PC2']).sum() + (Centroids_new['PC3'] - Centroids['PC3']).sum() + (Centroids_new['PC4'] - Centroids['PC4']).sum() +(Centroids_new['PC5'] - Centroids['PC5']).sum()+ (Centroids_new['PC6'] - Centroids['PC6']).sum()\n",
+ " print(diff.sum())\n",
+ " Centroids = X.groupby([\"Cluster\"]).mean()[[\"PC1\",\"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\"]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "id": "84595945",
+ "metadata": {},
+ "outputs": [
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+ " PC5 | \n",
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+ "
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+ ],
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+ " PC1 PC2 PC3 PC4 PC5 PC6 1 \\\n",
+ "0 -0.885122 -2.483017 0.230902 0.807129 0.043370 -0.382026 3.892347 \n",
+ "1 -3.000343 2.015089 -0.165334 -1.087171 1.670938 -0.288015 2.278485 \n",
+ "2 1.191726 0.385174 -1.926789 1.859338 -0.550103 -0.230068 4.673800 \n",
+ "3 -0.794805 0.218433 -1.661542 1.195618 0.058950 0.798510 2.952345 \n",
+ "4 -1.265058 -1.593317 -0.689436 1.339644 -0.114019 -0.837737 3.310867 \n",
+ "... ... ... ... ... ... ... ... \n",
+ "8945 0.668484 -2.871696 1.452469 -2.236975 -2.854943 0.766981 6.304943 \n",
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+ "8947 0.105962 -3.066758 1.189320 -1.775107 -2.965850 1.263333 6.113868 \n",
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+ "8949 -0.164604 -0.524308 -1.644250 -1.315554 -4.692532 1.532319 6.015829 \n",
+ "\n",
+ " 2 3 Cluster \n",
+ "0 5.711459 1.949079 3 \n",
+ "1 6.332207 5.424211 1 \n",
+ "2 3.306090 3.433723 2 \n",
+ "3 4.448837 3.139285 1 \n",
+ "4 5.546809 2.545982 3 \n",
+ "... ... ... ... \n",
+ "8945 6.443618 4.247216 3 \n",
+ "8946 6.333933 4.260482 3 \n",
+ "8947 6.710662 4.225640 3 \n",
+ "8948 8.006015 5.268191 1 \n",
+ "8949 6.406426 5.610537 3 \n",
+ "\n",
+ "[8950 rows x 10 columns]"
+ ]
+ },
+ "execution_count": 29,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "X"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "id": "8f267824",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "color=['red','green','cyan']\n",
+ "for k in range(K):\n",
+ " data=X[X[\"Cluster\"]==k+1]\n",
+ " plt.scatter(data[\"PC1\"],data[\"PC2\"],c=color[k])\n",
+ "plt.scatter(Centroids[\"PC1\"],Centroids[\"PC2\"],c='black')\n",
+ "plt.xlabel('PC1')\n",
+ "plt.ylabel('PC2')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "cab7d978",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.9.13"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
From fe7021af10c61ee1ce58573aa7241b15eefa5f4a Mon Sep 17 00:00:00 2001
From: ayushhimmatsinghka
<106641708+ayushhimmatsinghka@users.noreply.github.com>
Date: Thu, 23 Jun 2022 19:56:30 +0530
Subject: [PATCH 3/8] Add files via upload
---
.../210245_AYUSH_1_2nd_submission.ipynb | 1657 +++++++++++++++++
1 file changed, 1657 insertions(+)
create mode 100644 Assignment 1/210245_AYUSH_1_2nd_submission.ipynb
diff --git a/Assignment 1/210245_AYUSH_1_2nd_submission.ipynb b/Assignment 1/210245_AYUSH_1_2nd_submission.ipynb
new file mode 100644
index 0000000..2e9be73
--- /dev/null
+++ b/Assignment 1/210245_AYUSH_1_2nd_submission.ipynb
@@ -0,0 +1,1657 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "0605c832",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "%matplotlib inline\n",
+ "import pandas as pd\n",
+ "import matplotlib as mpl\n",
+ "import matplotlib.pyplot as plt\n",
+ "import sys\n",
+ "\n",
+ "import seaborn as sns\n",
+ "from math import sqrt\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "9acae107",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df = pd.read_csv('Dataset.csv')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "fc052a38",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Columns names:-\n",
+ "['CUST_ID', 'BALANCE', 'BALANCE_FREQUENCY', 'PURCHASES', 'ONEOFF_PURCHASES', 'INSTALLMENTS_PURCHASES', 'CASH_ADVANCE', 'PURCHASES_FREQUENCY', 'ONEOFF_PURCHASES_FREQUENCY', 'PURCHASES_INSTALLMENTS_FREQUENCY', 'CASH_ADVANCE_FREQUENCY', 'CASH_ADVANCE_TRX', 'PURCHASES_TRX', 'CREDIT_LIMIT', 'PAYMENTS', 'MINIMUM_PAYMENTS', 'PRC_FULL_PAYMENT', 'TENURE']\n"
+ ]
+ }
+ ],
+ "source": [
+ "columns_names=df.columns.tolist()\n",
+ "print(\"Columns names:-\")\n",
+ "print(columns_names)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "44dfdd5e",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(8950, 18)"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "48026d16",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df.drop('CUST_ID', axis=1,inplace=True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "7d8489ae",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " BALANCE | \n",
+ " BALANCE_FREQUENCY | \n",
+ " PURCHASES | \n",
+ " ONEOFF_PURCHASES | \n",
+ " INSTALLMENTS_PURCHASES | \n",
+ " CASH_ADVANCE | \n",
+ " PURCHASES_FREQUENCY | \n",
+ " ONEOFF_PURCHASES_FREQUENCY | \n",
+ " PURCHASES_INSTALLMENTS_FREQUENCY | \n",
+ " CASH_ADVANCE_FREQUENCY | \n",
+ " CASH_ADVANCE_TRX | \n",
+ " PURCHASES_TRX | \n",
+ " CREDIT_LIMIT | \n",
+ " PAYMENTS | \n",
+ " MINIMUM_PAYMENTS | \n",
+ " PRC_FULL_PAYMENT | \n",
+ " TENURE | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " 40.900749 | \n",
+ " 0.818182 | \n",
+ " 95.40 | \n",
+ " 0.00 | \n",
+ " 95.4 | \n",
+ " 0.000000 | \n",
+ " 0.166667 | \n",
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+ " 0.083333 | \n",
+ " 0.000000 | \n",
+ " 0 | \n",
+ " 2 | \n",
+ " 1000.0 | \n",
+ " 201.802084 | \n",
+ " 139.509787 | \n",
+ " 0.000000 | \n",
+ " 12 | \n",
+ "
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+ " \n",
+ " | 1 | \n",
+ " 3202.467416 | \n",
+ " 0.909091 | \n",
+ " 0.00 | \n",
+ " 0.00 | \n",
+ " 0.0 | \n",
+ " 6442.945483 | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 0.250000 | \n",
+ " 4 | \n",
+ " 0 | \n",
+ " 7000.0 | \n",
+ " 4103.032597 | \n",
+ " 1072.340217 | \n",
+ " 0.222222 | \n",
+ " 12 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " 2495.148862 | \n",
+ " 1.000000 | \n",
+ " 773.17 | \n",
+ " 773.17 | \n",
+ " 0.0 | \n",
+ " 0.000000 | \n",
+ " 1.000000 | \n",
+ " 1.000000 | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 0 | \n",
+ " 12 | \n",
+ " 7500.0 | \n",
+ " 622.066742 | \n",
+ " 627.284787 | \n",
+ " 0.000000 | \n",
+ " 12 | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " 1666.670542 | \n",
+ " 0.636364 | \n",
+ " 1499.00 | \n",
+ " 1499.00 | \n",
+ " 0.0 | \n",
+ " 205.788017 | \n",
+ " 0.083333 | \n",
+ " 0.083333 | \n",
+ " 0.000000 | \n",
+ " 0.083333 | \n",
+ " 1 | \n",
+ " 1 | \n",
+ " 7500.0 | \n",
+ " 0.000000 | \n",
+ " NaN | \n",
+ " 0.000000 | \n",
+ " 12 | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " 817.714335 | \n",
+ " 1.000000 | \n",
+ " 16.00 | \n",
+ " 16.00 | \n",
+ " 0.0 | \n",
+ " 0.000000 | \n",
+ " 0.083333 | \n",
+ " 0.083333 | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 0 | \n",
+ " 1 | \n",
+ " 1200.0 | \n",
+ " 678.334763 | \n",
+ " 244.791237 | \n",
+ " 0.000000 | \n",
+ " 12 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " BALANCE BALANCE_FREQUENCY PURCHASES ONEOFF_PURCHASES \\\n",
+ "0 40.900749 0.818182 95.40 0.00 \n",
+ "1 3202.467416 0.909091 0.00 0.00 \n",
+ "2 2495.148862 1.000000 773.17 773.17 \n",
+ "3 1666.670542 0.636364 1499.00 1499.00 \n",
+ "4 817.714335 1.000000 16.00 16.00 \n",
+ "\n",
+ " INSTALLMENTS_PURCHASES CASH_ADVANCE PURCHASES_FREQUENCY \\\n",
+ "0 95.4 0.000000 0.166667 \n",
+ "1 0.0 6442.945483 0.000000 \n",
+ "2 0.0 0.000000 1.000000 \n",
+ "3 0.0 205.788017 0.083333 \n",
+ "4 0.0 0.000000 0.083333 \n",
+ "\n",
+ " ONEOFF_PURCHASES_FREQUENCY PURCHASES_INSTALLMENTS_FREQUENCY \\\n",
+ "0 0.000000 0.083333 \n",
+ "1 0.000000 0.000000 \n",
+ "2 1.000000 0.000000 \n",
+ "3 0.083333 0.000000 \n",
+ "4 0.083333 0.000000 \n",
+ "\n",
+ " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX PURCHASES_TRX CREDIT_LIMIT \\\n",
+ "0 0.000000 0 2 1000.0 \n",
+ "1 0.250000 4 0 7000.0 \n",
+ "2 0.000000 0 12 7500.0 \n",
+ "3 0.083333 1 1 7500.0 \n",
+ "4 0.000000 0 1 1200.0 \n",
+ "\n",
+ " PAYMENTS MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n",
+ "0 201.802084 139.509787 0.000000 12 \n",
+ "1 4103.032597 1072.340217 0.222222 12 \n",
+ "2 622.066742 627.284787 0.000000 12 \n",
+ "3 0.000000 NaN 0.000000 12 \n",
+ "4 678.334763 244.791237 0.000000 12 "
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "c4fc0638",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x = df[\"MINIMUM_PAYMENTS\"].median()\n",
+ "\n",
+ "df[\"MINIMUM_PAYMENTS\"].fillna(x, inplace = True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "c51c814b",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x = df[\"CREDIT_LIMIT\"].median()\n",
+ "\n",
+ "df[\"CREDIT_LIMIT\"].fillna(x, inplace = True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "e05fc0c7",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[, , ],\n",
+ " [, , ],\n",
+ " [, , ],\n",
+ " [, , ],\n",
+ " [, , ],\n",
+ " [, , ]], dtype=object)"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "df.plot(subplots=True, layout=(6,3), figsize=(30,20))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "a252bb07",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "BALANCE 2.393386\n",
+ "BALANCE_FREQUENCY -2.023266\n",
+ "PURCHASES 8.144269\n",
+ "ONEOFF_PURCHASES 10.045083\n",
+ "INSTALLMENTS_PURCHASES 7.299120\n",
+ "CASH_ADVANCE 5.166609\n",
+ "PURCHASES_FREQUENCY 0.060164\n",
+ "ONEOFF_PURCHASES_FREQUENCY 1.535613\n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.509201\n",
+ "CASH_ADVANCE_FREQUENCY 1.828686\n",
+ "CASH_ADVANCE_TRX 5.721298\n",
+ "PURCHASES_TRX 4.630655\n",
+ "CREDIT_LIMIT 1.522636\n",
+ "PAYMENTS 5.907620\n",
+ "MINIMUM_PAYMENTS 13.852446\n",
+ "PRC_FULL_PAYMENT 1.942820\n",
+ "TENURE -2.943017\n",
+ "dtype: float64"
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.skew()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "0e85f23e",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "for col in df:\n",
+ " df[col]=np.sqrt(df[col])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "7331381d",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "BALANCE 0.829498\n",
+ "BALANCE_FREQUENCY -2.819495\n",
+ "PURCHASES 1.730752\n",
+ "ONEOFF_PURCHASES 2.129460\n",
+ "INSTALLMENTS_PURCHASES 1.546939\n",
+ "CASH_ADVANCE 1.486159\n",
+ "PURCHASES_FREQUENCY -0.421872\n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.724607\n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.130409\n",
+ "CASH_ADVANCE_FREQUENCY 0.706976\n",
+ "CASH_ADVANCE_TRX 1.417779\n",
+ "PURCHASES_TRX 1.185757\n",
+ "CREDIT_LIMIT 0.681087\n",
+ "PAYMENTS 1.951535\n",
+ "MINIMUM_PAYMENTS 3.875508\n",
+ "PRC_FULL_PAYMENT 1.297280\n",
+ "TENURE -3.064332\n",
+ "dtype: float64"
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.skew()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "c67024fe",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[, , ],\n",
+ " [, , ],\n",
+ " [, , ],\n",
+ " [, , ],\n",
+ " [, , ],\n",
+ " [, , ]], dtype=object)"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "\n",
+ "df.plot(subplots=True, layout=(6,3), figsize=(30,20) )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "b098b8d8",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " BALANCE | \n",
+ " BALANCE_FREQUENCY | \n",
+ " PURCHASES | \n",
+ " ONEOFF_PURCHASES | \n",
+ " INSTALLMENTS_PURCHASES | \n",
+ " CASH_ADVANCE | \n",
+ " PURCHASES_FREQUENCY | \n",
+ " ONEOFF_PURCHASES_FREQUENCY | \n",
+ " PURCHASES_INSTALLMENTS_FREQUENCY | \n",
+ " CASH_ADVANCE_FREQUENCY | \n",
+ " CASH_ADVANCE_TRX | \n",
+ " PURCHASES_TRX | \n",
+ " CREDIT_LIMIT | \n",
+ " PAYMENTS | \n",
+ " MINIMUM_PAYMENTS | \n",
+ " PRC_FULL_PAYMENT | \n",
+ " TENURE | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | BALANCE | \n",
+ " 1.000000 | \n",
+ " 0.439550 | \n",
+ " 0.102217 | \n",
+ " 0.172933 | \n",
+ " 0.013676 | \n",
+ " 0.575879 | \n",
+ " -0.153306 | \n",
+ " 0.102318 | \n",
+ " -0.128057 | \n",
+ " 0.531558 | \n",
+ " 0.525505 | \n",
+ " 0.042819 | \n",
+ " 0.456803 | \n",
+ " 0.403422 | \n",
+ " 0.682375 | \n",
+ " -0.453893 | \n",
+ " 0.079000 | \n",
+ "
\n",
+ " \n",
+ " | BALANCE_FREQUENCY | \n",
+ " 0.439550 | \n",
+ " 1.000000 | \n",
+ " 0.166903 | \n",
+ " 0.147846 | \n",
+ " 0.142073 | \n",
+ " 0.138545 | \n",
+ " 0.154265 | \n",
+ " 0.181196 | \n",
+ " 0.123737 | \n",
+ " 0.192852 | \n",
+ " 0.180504 | \n",
+ " 0.194752 | \n",
+ " 0.093330 | \n",
+ " 0.171135 | \n",
+ " 0.250569 | \n",
+ " -0.056715 | \n",
+ " 0.093694 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES | \n",
+ " 0.102217 | \n",
+ " 0.166903 | \n",
+ " 1.000000 | \n",
+ " 0.852625 | \n",
+ " 0.728559 | \n",
+ " -0.236233 | \n",
+ " 0.687428 | \n",
+ " 0.672055 | \n",
+ " 0.527451 | \n",
+ " -0.300179 | \n",
+ " -0.254318 | \n",
+ " 0.843175 | \n",
+ " 0.341951 | \n",
+ " 0.496092 | \n",
+ " 0.088627 | \n",
+ " 0.245880 | \n",
+ " 0.116914 | \n",
+ "
\n",
+ " \n",
+ " | ONEOFF_PURCHASES | \n",
+ " 0.172933 | \n",
+ " 0.147846 | \n",
+ " 0.852625 | \n",
+ " 1.000000 | \n",
+ " 0.306789 | \n",
+ " -0.123410 | \n",
+ " 0.422181 | \n",
+ " 0.824324 | \n",
+ " 0.154497 | \n",
+ " -0.156438 | \n",
+ " -0.129146 | \n",
+ " 0.637828 | \n",
+ " 0.352781 | \n",
+ " 0.471265 | \n",
+ " 0.058891 | \n",
+ " 0.113810 | \n",
+ " 0.090035 | \n",
+ "
\n",
+ " \n",
+ " | INSTALLMENTS_PURCHASES | \n",
+ " 0.013676 | \n",
+ " 0.142073 | \n",
+ " 0.728559 | \n",
+ " 0.306789 | \n",
+ " 1.000000 | \n",
+ " -0.230397 | \n",
+ " 0.683154 | \n",
+ " 0.231340 | \n",
+ " 0.815592 | \n",
+ " -0.292878 | \n",
+ " -0.247026 | \n",
+ " 0.757427 | \n",
+ " 0.205255 | \n",
+ " 0.330005 | \n",
+ " 0.087563 | \n",
+ " 0.269962 | \n",
+ " 0.108182 | \n",
+ "
\n",
+ " \n",
+ " | CASH_ADVANCE | \n",
+ " 0.575879 | \n",
+ " 0.138545 | \n",
+ " -0.236233 | \n",
+ " -0.123410 | \n",
+ " -0.230397 | \n",
+ " 1.000000 | \n",
+ " -0.392948 | \n",
+ " -0.152434 | \n",
+ " -0.309058 | \n",
+ " 0.834290 | \n",
+ " 0.848970 | \n",
+ " -0.273181 | \n",
+ " 0.261011 | \n",
+ " 0.368825 | \n",
+ " 0.331327 | \n",
+ " -0.233943 | \n",
+ " -0.096013 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES_FREQUENCY | \n",
+ " -0.153306 | \n",
+ " 0.154265 | \n",
+ " 0.687428 | \n",
+ " 0.422181 | \n",
+ " 0.683154 | \n",
+ " -0.392948 | \n",
+ " 1.000000 | \n",
+ " 0.508031 | \n",
+ " 0.831387 | \n",
+ " -0.457631 | \n",
+ " -0.397722 | \n",
+ " 0.820786 | \n",
+ " 0.110727 | \n",
+ " 0.122729 | \n",
+ " -0.045804 | \n",
+ " 0.308474 | \n",
+ " 0.066970 | \n",
+ "
\n",
+ " \n",
+ " | ONEOFF_PURCHASES_FREQUENCY | \n",
+ " 0.102318 | \n",
+ " 0.181196 | \n",
+ " 0.672055 | \n",
+ " 0.824324 | \n",
+ " 0.231340 | \n",
+ " -0.152434 | \n",
+ " 0.508031 | \n",
+ " 1.000000 | \n",
+ " 0.130807 | \n",
+ " -0.164373 | \n",
+ " -0.137542 | \n",
+ " 0.627696 | \n",
+ " 0.296502 | \n",
+ " 0.300928 | \n",
+ " -0.001907 | \n",
+ " 0.099064 | \n",
+ " 0.083856 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES_INSTALLMENTS_FREQUENCY | \n",
+ " -0.128057 | \n",
+ " 0.123737 | \n",
+ " 0.527451 | \n",
+ " 0.154497 | \n",
+ " 0.815592 | \n",
+ " -0.309058 | \n",
+ " 0.831387 | \n",
+ " 0.130807 | \n",
+ " 1.000000 | \n",
+ " -0.366260 | \n",
+ " -0.315583 | \n",
+ " 0.715472 | \n",
+ " 0.058435 | \n",
+ " 0.102431 | \n",
+ " -0.011423 | \n",
+ " 0.275739 | \n",
+ " 0.073884 | \n",
+ "
\n",
+ " \n",
+ " | CASH_ADVANCE_FREQUENCY | \n",
+ " 0.531558 | \n",
+ " 0.192852 | \n",
+ " -0.300179 | \n",
+ " -0.156438 | \n",
+ " -0.292878 | \n",
+ " 0.834290 | \n",
+ " -0.457631 | \n",
+ " -0.164373 | \n",
+ " -0.366260 | \n",
+ " 1.000000 | \n",
+ " 0.939703 | \n",
+ " -0.325492 | \n",
+ " 0.100625 | \n",
+ " 0.205875 | \n",
+ " 0.285776 | \n",
+ " -0.305366 | \n",
+ " -0.124117 | \n",
+ "
\n",
+ " \n",
+ " | CASH_ADVANCE_TRX | \n",
+ " 0.525505 | \n",
+ " 0.180504 | \n",
+ " -0.254318 | \n",
+ " -0.129146 | \n",
+ " -0.247026 | \n",
+ " 0.848970 | \n",
+ " -0.397722 | \n",
+ " -0.137542 | \n",
+ " -0.315583 | \n",
+ " 0.939703 | \n",
+ " 1.000000 | \n",
+ " -0.273108 | \n",
+ " 0.133936 | \n",
+ " 0.256674 | \n",
+ " 0.310001 | \n",
+ " -0.266926 | \n",
+ " -0.072471 | \n",
+ "
\n",
+ " \n",
+ " | PURCHASES_TRX | \n",
+ " 0.042819 | \n",
+ " 0.194752 | \n",
+ " 0.843175 | \n",
+ " 0.637828 | \n",
+ " 0.757427 | \n",
+ " -0.273181 | \n",
+ " 0.820786 | \n",
+ " 0.627696 | \n",
+ " 0.715472 | \n",
+ " -0.325492 | \n",
+ " -0.273108 | \n",
+ " 1.000000 | \n",
+ " 0.250584 | \n",
+ " 0.341845 | \n",
+ " 0.072587 | \n",
+ " 0.240429 | \n",
+ " 0.145224 | \n",
+ "
\n",
+ " \n",
+ " | CREDIT_LIMIT | \n",
+ " 0.456803 | \n",
+ " 0.093330 | \n",
+ " 0.341951 | \n",
+ " 0.352781 | \n",
+ " 0.205255 | \n",
+ " 0.261011 | \n",
+ " 0.110727 | \n",
+ " 0.296502 | \n",
+ " 0.058435 | \n",
+ " 0.100625 | \n",
+ " 0.133936 | \n",
+ " 0.250584 | \n",
+ " 1.000000 | \n",
+ " 0.461093 | \n",
+ " 0.233382 | \n",
+ " 0.039859 | \n",
+ " 0.159078 | \n",
+ "
\n",
+ " \n",
+ " | PAYMENTS | \n",
+ " 0.403422 | \n",
+ " 0.171135 | \n",
+ " 0.496092 | \n",
+ " 0.471265 | \n",
+ " 0.330005 | \n",
+ " 0.368825 | \n",
+ " 0.122729 | \n",
+ " 0.300928 | \n",
+ " 0.102431 | \n",
+ " 0.205875 | \n",
+ " 0.256674 | \n",
+ " 0.341845 | \n",
+ " 0.461093 | \n",
+ " 1.000000 | \n",
+ " 0.270354 | \n",
+ " 0.175619 | \n",
+ " 0.174052 | \n",
+ "
\n",
+ " \n",
+ " | MINIMUM_PAYMENTS | \n",
+ " 0.682375 | \n",
+ " 0.250569 | \n",
+ " 0.088627 | \n",
+ " 0.058891 | \n",
+ " 0.087563 | \n",
+ " 0.331327 | \n",
+ " -0.045804 | \n",
+ " -0.001907 | \n",
+ " -0.011423 | \n",
+ " 0.285776 | \n",
+ " 0.310001 | \n",
+ " 0.072587 | \n",
+ " 0.233382 | \n",
+ " 0.270354 | \n",
+ " 1.000000 | \n",
+ " -0.304930 | \n",
+ " 0.110980 | \n",
+ "
\n",
+ " \n",
+ " | PRC_FULL_PAYMENT | \n",
+ " -0.453893 | \n",
+ " -0.056715 | \n",
+ " 0.245880 | \n",
+ " 0.113810 | \n",
+ " 0.269962 | \n",
+ " -0.233943 | \n",
+ " 0.308474 | \n",
+ " 0.099064 | \n",
+ " 0.275739 | \n",
+ " -0.305366 | \n",
+ " -0.266926 | \n",
+ " 0.240429 | \n",
+ " 0.039859 | \n",
+ " 0.175619 | \n",
+ " -0.304930 | \n",
+ " 1.000000 | \n",
+ " -0.001969 | \n",
+ "
\n",
+ " \n",
+ " | TENURE | \n",
+ " 0.079000 | \n",
+ " 0.093694 | \n",
+ " 0.116914 | \n",
+ " 0.090035 | \n",
+ " 0.108182 | \n",
+ " -0.096013 | \n",
+ " 0.066970 | \n",
+ " 0.083856 | \n",
+ " 0.073884 | \n",
+ " -0.124117 | \n",
+ " -0.072471 | \n",
+ " 0.145224 | \n",
+ " 0.159078 | \n",
+ " 0.174052 | \n",
+ " 0.110980 | \n",
+ " -0.001969 | \n",
+ " 1.000000 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " BALANCE BALANCE_FREQUENCY PURCHASES \\\n",
+ "BALANCE 1.000000 0.439550 0.102217 \n",
+ "BALANCE_FREQUENCY 0.439550 1.000000 0.166903 \n",
+ "PURCHASES 0.102217 0.166903 1.000000 \n",
+ "ONEOFF_PURCHASES 0.172933 0.147846 0.852625 \n",
+ "INSTALLMENTS_PURCHASES 0.013676 0.142073 0.728559 \n",
+ "CASH_ADVANCE 0.575879 0.138545 -0.236233 \n",
+ "PURCHASES_FREQUENCY -0.153306 0.154265 0.687428 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.102318 0.181196 0.672055 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.128057 0.123737 0.527451 \n",
+ "CASH_ADVANCE_FREQUENCY 0.531558 0.192852 -0.300179 \n",
+ "CASH_ADVANCE_TRX 0.525505 0.180504 -0.254318 \n",
+ "PURCHASES_TRX 0.042819 0.194752 0.843175 \n",
+ "CREDIT_LIMIT 0.456803 0.093330 0.341951 \n",
+ "PAYMENTS 0.403422 0.171135 0.496092 \n",
+ "MINIMUM_PAYMENTS 0.682375 0.250569 0.088627 \n",
+ "PRC_FULL_PAYMENT -0.453893 -0.056715 0.245880 \n",
+ "TENURE 0.079000 0.093694 0.116914 \n",
+ "\n",
+ " ONEOFF_PURCHASES INSTALLMENTS_PURCHASES \\\n",
+ "BALANCE 0.172933 0.013676 \n",
+ "BALANCE_FREQUENCY 0.147846 0.142073 \n",
+ "PURCHASES 0.852625 0.728559 \n",
+ "ONEOFF_PURCHASES 1.000000 0.306789 \n",
+ "INSTALLMENTS_PURCHASES 0.306789 1.000000 \n",
+ "CASH_ADVANCE -0.123410 -0.230397 \n",
+ "PURCHASES_FREQUENCY 0.422181 0.683154 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.824324 0.231340 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.154497 0.815592 \n",
+ "CASH_ADVANCE_FREQUENCY -0.156438 -0.292878 \n",
+ "CASH_ADVANCE_TRX -0.129146 -0.247026 \n",
+ "PURCHASES_TRX 0.637828 0.757427 \n",
+ "CREDIT_LIMIT 0.352781 0.205255 \n",
+ "PAYMENTS 0.471265 0.330005 \n",
+ "MINIMUM_PAYMENTS 0.058891 0.087563 \n",
+ "PRC_FULL_PAYMENT 0.113810 0.269962 \n",
+ "TENURE 0.090035 0.108182 \n",
+ "\n",
+ " CASH_ADVANCE PURCHASES_FREQUENCY \\\n",
+ "BALANCE 0.575879 -0.153306 \n",
+ "BALANCE_FREQUENCY 0.138545 0.154265 \n",
+ "PURCHASES -0.236233 0.687428 \n",
+ "ONEOFF_PURCHASES -0.123410 0.422181 \n",
+ "INSTALLMENTS_PURCHASES -0.230397 0.683154 \n",
+ "CASH_ADVANCE 1.000000 -0.392948 \n",
+ "PURCHASES_FREQUENCY -0.392948 1.000000 \n",
+ "ONEOFF_PURCHASES_FREQUENCY -0.152434 0.508031 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.309058 0.831387 \n",
+ "CASH_ADVANCE_FREQUENCY 0.834290 -0.457631 \n",
+ "CASH_ADVANCE_TRX 0.848970 -0.397722 \n",
+ "PURCHASES_TRX -0.273181 0.820786 \n",
+ "CREDIT_LIMIT 0.261011 0.110727 \n",
+ "PAYMENTS 0.368825 0.122729 \n",
+ "MINIMUM_PAYMENTS 0.331327 -0.045804 \n",
+ "PRC_FULL_PAYMENT -0.233943 0.308474 \n",
+ "TENURE -0.096013 0.066970 \n",
+ "\n",
+ " ONEOFF_PURCHASES_FREQUENCY \\\n",
+ "BALANCE 0.102318 \n",
+ "BALANCE_FREQUENCY 0.181196 \n",
+ "PURCHASES 0.672055 \n",
+ "ONEOFF_PURCHASES 0.824324 \n",
+ "INSTALLMENTS_PURCHASES 0.231340 \n",
+ "CASH_ADVANCE -0.152434 \n",
+ "PURCHASES_FREQUENCY 0.508031 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 1.000000 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.130807 \n",
+ "CASH_ADVANCE_FREQUENCY -0.164373 \n",
+ "CASH_ADVANCE_TRX -0.137542 \n",
+ "PURCHASES_TRX 0.627696 \n",
+ "CREDIT_LIMIT 0.296502 \n",
+ "PAYMENTS 0.300928 \n",
+ "MINIMUM_PAYMENTS -0.001907 \n",
+ "PRC_FULL_PAYMENT 0.099064 \n",
+ "TENURE 0.083856 \n",
+ "\n",
+ " PURCHASES_INSTALLMENTS_FREQUENCY \\\n",
+ "BALANCE -0.128057 \n",
+ "BALANCE_FREQUENCY 0.123737 \n",
+ "PURCHASES 0.527451 \n",
+ "ONEOFF_PURCHASES 0.154497 \n",
+ "INSTALLMENTS_PURCHASES 0.815592 \n",
+ "CASH_ADVANCE -0.309058 \n",
+ "PURCHASES_FREQUENCY 0.831387 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.130807 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 1.000000 \n",
+ "CASH_ADVANCE_FREQUENCY -0.366260 \n",
+ "CASH_ADVANCE_TRX -0.315583 \n",
+ "PURCHASES_TRX 0.715472 \n",
+ "CREDIT_LIMIT 0.058435 \n",
+ "PAYMENTS 0.102431 \n",
+ "MINIMUM_PAYMENTS -0.011423 \n",
+ "PRC_FULL_PAYMENT 0.275739 \n",
+ "TENURE 0.073884 \n",
+ "\n",
+ " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX \\\n",
+ "BALANCE 0.531558 0.525505 \n",
+ "BALANCE_FREQUENCY 0.192852 0.180504 \n",
+ "PURCHASES -0.300179 -0.254318 \n",
+ "ONEOFF_PURCHASES -0.156438 -0.129146 \n",
+ "INSTALLMENTS_PURCHASES -0.292878 -0.247026 \n",
+ "CASH_ADVANCE 0.834290 0.848970 \n",
+ "PURCHASES_FREQUENCY -0.457631 -0.397722 \n",
+ "ONEOFF_PURCHASES_FREQUENCY -0.164373 -0.137542 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.366260 -0.315583 \n",
+ "CASH_ADVANCE_FREQUENCY 1.000000 0.939703 \n",
+ "CASH_ADVANCE_TRX 0.939703 1.000000 \n",
+ "PURCHASES_TRX -0.325492 -0.273108 \n",
+ "CREDIT_LIMIT 0.100625 0.133936 \n",
+ "PAYMENTS 0.205875 0.256674 \n",
+ "MINIMUM_PAYMENTS 0.285776 0.310001 \n",
+ "PRC_FULL_PAYMENT -0.305366 -0.266926 \n",
+ "TENURE -0.124117 -0.072471 \n",
+ "\n",
+ " PURCHASES_TRX CREDIT_LIMIT PAYMENTS \\\n",
+ "BALANCE 0.042819 0.456803 0.403422 \n",
+ "BALANCE_FREQUENCY 0.194752 0.093330 0.171135 \n",
+ "PURCHASES 0.843175 0.341951 0.496092 \n",
+ "ONEOFF_PURCHASES 0.637828 0.352781 0.471265 \n",
+ "INSTALLMENTS_PURCHASES 0.757427 0.205255 0.330005 \n",
+ "CASH_ADVANCE -0.273181 0.261011 0.368825 \n",
+ "PURCHASES_FREQUENCY 0.820786 0.110727 0.122729 \n",
+ "ONEOFF_PURCHASES_FREQUENCY 0.627696 0.296502 0.300928 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY 0.715472 0.058435 0.102431 \n",
+ "CASH_ADVANCE_FREQUENCY -0.325492 0.100625 0.205875 \n",
+ "CASH_ADVANCE_TRX -0.273108 0.133936 0.256674 \n",
+ "PURCHASES_TRX 1.000000 0.250584 0.341845 \n",
+ "CREDIT_LIMIT 0.250584 1.000000 0.461093 \n",
+ "PAYMENTS 0.341845 0.461093 1.000000 \n",
+ "MINIMUM_PAYMENTS 0.072587 0.233382 0.270354 \n",
+ "PRC_FULL_PAYMENT 0.240429 0.039859 0.175619 \n",
+ "TENURE 0.145224 0.159078 0.174052 \n",
+ "\n",
+ " MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n",
+ "BALANCE 0.682375 -0.453893 0.079000 \n",
+ "BALANCE_FREQUENCY 0.250569 -0.056715 0.093694 \n",
+ "PURCHASES 0.088627 0.245880 0.116914 \n",
+ "ONEOFF_PURCHASES 0.058891 0.113810 0.090035 \n",
+ "INSTALLMENTS_PURCHASES 0.087563 0.269962 0.108182 \n",
+ "CASH_ADVANCE 0.331327 -0.233943 -0.096013 \n",
+ "PURCHASES_FREQUENCY -0.045804 0.308474 0.066970 \n",
+ "ONEOFF_PURCHASES_FREQUENCY -0.001907 0.099064 0.083856 \n",
+ "PURCHASES_INSTALLMENTS_FREQUENCY -0.011423 0.275739 0.073884 \n",
+ "CASH_ADVANCE_FREQUENCY 0.285776 -0.305366 -0.124117 \n",
+ "CASH_ADVANCE_TRX 0.310001 -0.266926 -0.072471 \n",
+ "PURCHASES_TRX 0.072587 0.240429 0.145224 \n",
+ "CREDIT_LIMIT 0.233382 0.039859 0.159078 \n",
+ "PAYMENTS 0.270354 0.175619 0.174052 \n",
+ "MINIMUM_PAYMENTS 1.000000 -0.304930 0.110980 \n",
+ "PRC_FULL_PAYMENT -0.304930 1.000000 -0.001969 \n",
+ "TENURE 0.110980 -0.001969 1.000000 "
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.corr()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "a82b1f8c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0.5, 1.0, 'Correlation between different fearures')"
+ ]
+ },
+ "execution_count": 15,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "correlation = df.corr()\n",
+ "plt.figure(figsize=(17,17))\n",
+ "sns.heatmap(correlation, vmax=1, square=True,annot=True,cmap='cubehelix')\n",
+ "\n",
+ "plt.title('Correlation between different fearures')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "9d5b292b",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.preprocessing import StandardScaler\n",
+ "df_std = StandardScaler().fit_transform(df)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "9beb9e47",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0, 0.5, 'Cumulative explained variance')"
+ ]
+ },
+ "execution_count": 17,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.decomposition import PCA\n",
+ "pca = PCA().fit(df_std)\n",
+ "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
+ "plt.xlim(0,16,1)\n",
+ "plt.xlabel('Number of components')\n",
+ "plt.ylabel('Cumulative explained variance')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "0aceae0d",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.decomposition import PCA \n",
+ "sklearn_pca = PCA(n_components=6)\n",
+ "Y_sklearn = sklearn_pca.fit_transform(df_std)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "3835d517",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[[-0.89368739 -2.46942302 0.26547878 0.8424799 0.05948294 -0.30941184]\n",
+ " [-2.99580321 2.03198154 -0.16968419 -1.06223589 1.67575551 -0.31410246]\n",
+ " [ 1.19249036 0.38666644 -1.89282507 1.91011578 -0.53121951 -0.14114376]\n",
+ " ...\n",
+ " [ 0.09522873 -3.05690437 1.18621724 -1.77603517 -2.98869104 1.11567651]\n",
+ " [-2.85831231 -2.50503727 -0.29395723 -2.09727499 -3.00255362 0.477686 ]\n",
+ " [-0.17043415 -0.53629618 -1.67648091 -1.31683427 -4.72571597 1.34012758]]\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(Y_sklearn)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "6d4d3568",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(8950, 6)"
+ ]
+ },
+ "execution_count": 20,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "Y_sklearn.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "873a3243",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df= pd.DataFrame(Y_sklearn,columns=['PC1','PC2','PC3','PC4','PC5','PC6'])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "id": "b093c72a",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " PC1 | \n",
+ " PC2 | \n",
+ " PC3 | \n",
+ " PC4 | \n",
+ " PC5 | \n",
+ " PC6 | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " -0.893687 | \n",
+ " -2.469423 | \n",
+ " 0.265479 | \n",
+ " 0.842480 | \n",
+ " 0.059483 | \n",
+ " -0.309412 | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " -2.995803 | \n",
+ " 2.031982 | \n",
+ " -0.169684 | \n",
+ " -1.062236 | \n",
+ " 1.675756 | \n",
+ " -0.314102 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " 1.192490 | \n",
+ " 0.386666 | \n",
+ " -1.892825 | \n",
+ " 1.910116 | \n",
+ " -0.531220 | \n",
+ " -0.141144 | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " -0.771431 | \n",
+ " 0.016181 | \n",
+ " -1.809816 | \n",
+ " 0.941469 | \n",
+ " 0.001056 | \n",
+ " 0.676211 | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " -1.271211 | \n",
+ " -1.577259 | \n",
+ " -0.638226 | \n",
+ " 1.417749 | \n",
+ " -0.082944 | \n",
+ " -0.764482 | \n",
+ "
\n",
+ " \n",
+ " | ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ "
\n",
+ " \n",
+ " | 8945 | \n",
+ " 0.657300 | \n",
+ " -2.862206 | \n",
+ " 1.450834 | \n",
+ " -2.215205 | \n",
+ " -2.869149 | \n",
+ " 0.594030 | \n",
+ "
\n",
+ " \n",
+ " | 8946 | \n",
+ " 0.280965 | \n",
+ " -2.424931 | \n",
+ " 1.695729 | \n",
+ " -0.846458 | \n",
+ " -3.416009 | \n",
+ " 1.427214 | \n",
+ "
\n",
+ " \n",
+ " | 8947 | \n",
+ " 0.095229 | \n",
+ " -3.056904 | \n",
+ " 1.186217 | \n",
+ " -1.776035 | \n",
+ " -2.988691 | \n",
+ " 1.115677 | \n",
+ "
\n",
+ " \n",
+ " | 8948 | \n",
+ " -2.858312 | \n",
+ " -2.505037 | \n",
+ " -0.293957 | \n",
+ " -2.097275 | \n",
+ " -3.002554 | \n",
+ " 0.477686 | \n",
+ "
\n",
+ " \n",
+ " | 8949 | \n",
+ " -0.170434 | \n",
+ " -0.536296 | \n",
+ " -1.676481 | \n",
+ " -1.316834 | \n",
+ " -4.725716 | \n",
+ " 1.340128 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
8950 rows × 6 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " PC1 PC2 PC3 PC4 PC5 PC6\n",
+ "0 -0.893687 -2.469423 0.265479 0.842480 0.059483 -0.309412\n",
+ "1 -2.995803 2.031982 -0.169684 -1.062236 1.675756 -0.314102\n",
+ "2 1.192490 0.386666 -1.892825 1.910116 -0.531220 -0.141144\n",
+ "3 -0.771431 0.016181 -1.809816 0.941469 0.001056 0.676211\n",
+ "4 -1.271211 -1.577259 -0.638226 1.417749 -0.082944 -0.764482\n",
+ "... ... ... ... ... ... ...\n",
+ "8945 0.657300 -2.862206 1.450834 -2.215205 -2.869149 0.594030\n",
+ "8946 0.280965 -2.424931 1.695729 -0.846458 -3.416009 1.427214\n",
+ "8947 0.095229 -3.056904 1.186217 -1.776035 -2.988691 1.115677\n",
+ "8948 -2.858312 -2.505037 -0.293957 -2.097275 -3.002554 0.477686\n",
+ "8949 -0.170434 -0.536296 -1.676481 -1.316834 -4.725716 1.340128\n",
+ "\n",
+ "[8950 rows x 6 columns]"
+ ]
+ },
+ "execution_count": 22,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "id": "43cd6ac4",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.cluster import KMeans\n",
+ "wcss = [] \n",
+ "m = range(1,11)\n",
+ "for i in m: \n",
+ " kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n",
+ " kmeans.fit(df) \n",
+ " wcss.append(kmeans.inertia_)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "id": "c92a5f3c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(m,wcss,'bx-')\n",
+ "plt.plot(range(1, 11), wcss)\n",
+ "plt.xlabel('PC')\n",
+ "plt.ylabel('Inertia') \n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "id": "3bc1d641",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\"]]\n",
+ "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"m\")\n",
+ "plt.xlabel(\"PC1\")\n",
+ "plt.ylabel(\"PC2\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "id": "56584a51",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "K=3\n",
+ "\n",
+ "Centroids = (X.sample(n=K))\n",
+ "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"y\")\n",
+ "plt.scatter(Centroids[\"PC1\"], Centroids[\"PC2\"], c=\"red\")\n",
+ "plt.xlabel(\"PC1\")\n",
+ "plt.ylabel(\"PC2\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "id": "eed59606",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " PC1 | \n",
+ " PC2 | \n",
+ " PC3 | \n",
+ " PC4 | \n",
+ " PC5 | \n",
+ " PC6 | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 7461 | \n",
+ " -1.022912 | \n",
+ " 2.345666 | \n",
+ " 0.626407 | \n",
+ " -1.575197 | \n",
+ " -1.676231 | \n",
+ " 2.156859 | \n",
+ "
\n",
+ " \n",
+ " | 7248 | \n",
+ " 0.643449 | \n",
+ " -2.614103 | \n",
+ " 0.708430 | \n",
+ " -0.945795 | \n",
+ " 1.068223 | \n",
+ " -0.308326 | \n",
+ "
\n",
+ " \n",
+ " | 7323 | \n",
+ " -3.003966 | \n",
+ " 0.155530 | \n",
+ " -0.270781 | \n",
+ " -1.538478 | \n",
+ " 0.778599 | \n",
+ " -1.309302 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " PC1 PC2 PC3 PC4 PC5 PC6\n",
+ "7461 -1.022912 2.345666 0.626407 -1.575197 -1.676231 2.156859\n",
+ "7248 0.643449 -2.614103 0.708430 -0.945795 1.068223 -0.308326\n",
+ "7323 -3.003966 0.155530 -0.270781 -1.538478 0.778599 -1.309302"
+ ]
+ },
+ "execution_count": 27,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "Centroids\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "id": "dd6f6a07",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import sklearn.cluster as cluster"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "id": "49025993",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([0, 1, 2, ..., 0, 1, 0])"
+ ]
+ },
+ "execution_count": 29,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "kmeans = cluster.KMeans(n_clusters=3, random_state=0).fit(X)\n",
+ "kmeans.labels_"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "id": "c7dfa309",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 30,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(X[\"PC1\"],X[\"PC2\"], label='True Position',color=\"m\")\n",
+ "plt.scatter(Centroids[\"PC1\"],Centroids[\"PC2\"],c='red')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "id": "8f267824",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0, 0.5, 'PC2')"
+ ]
+ },
+ "execution_count": 31,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(X[\"PC1\"],X[\"PC2\"],c=kmeans.labels_,)\n",
+ "plt.scatter(Centroids[\"PC1\"],Centroids[\"PC2\"],c='red')\n",
+ "plt.xlabel('PC1')\n",
+ "plt.ylabel('PC2')\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "cab7d978",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.9.13"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
From 10e86e07de443caee2f6e0b896ffdcaa8f68d7ab Mon Sep 17 00:00:00 2001
From: ayushhimmatsinghka
<106641708+ayushhimmatsinghka@users.noreply.github.com>
Date: Tue, 12 Jul 2022 23:52:42 +0530
Subject: [PATCH 4/8] Add files via upload
---
210245_AYUSH_2.ipynb | 1599 ++++++++++++++++++++++++++++++++++++++++++
1 file changed, 1599 insertions(+)
create mode 100644 210245_AYUSH_2.ipynb
diff --git a/210245_AYUSH_2.ipynb b/210245_AYUSH_2.ipynb
new file mode 100644
index 0000000..719ecf0
--- /dev/null
+++ b/210245_AYUSH_2.ipynb
@@ -0,0 +1,1599 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "1f5754b4",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "import matplotlib as mpl\n",
+ "import matplotlib.pyplot as plt\n",
+ "import sys\n",
+ "import seaborn as sns\n",
+ "from math import sqrt\n",
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "7040d82c",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.model_selection import train_test_split,RepeatedStratifiedKFold,cross_val_score\n",
+ "from sklearn.linear_model import LogisticRegression \n",
+ "from sklearn.metrics import roc_curve , roc_auc_score,confusion_matrix,precision_recall_curve,auc\n",
+ "from sklearn.feature_selection import f_classif\n",
+ "from sklearn.pipeline import Pipeline\n",
+ "from sklearn.base import BaseEstimator,TransformerMixin\n",
+ "from scipy.stats import chi2_contingency"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "230a177c",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df = pd.read_csv('credit_risk_dataset.csv',low_memory=False )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "6fba0e33",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "RangeIndex: 466285 entries, 0 to 466284\n",
+ "Data columns (total 74 columns):\n",
+ " # Column Non-Null Count Dtype \n",
+ "--- ------ -------------- ----- \n",
+ " 0 id 466285 non-null int64 \n",
+ " 1 member_id 466285 non-null int64 \n",
+ " 2 loan_amnt 466285 non-null int64 \n",
+ " 3 funded_amnt 466285 non-null int64 \n",
+ " 4 funded_amnt_inv 466285 non-null float64\n",
+ " 5 term 466285 non-null object \n",
+ " 6 int_rate 466285 non-null float64\n",
+ " 7 installment 466285 non-null float64\n",
+ " 8 grade 466285 non-null object \n",
+ " 9 sub_grade 466285 non-null object \n",
+ " 10 emp_title 438697 non-null object \n",
+ " 11 emp_length 445277 non-null object \n",
+ " 12 home_ownership 466285 non-null object \n",
+ " 13 annual_inc 466281 non-null float64\n",
+ " 14 verification_status 466285 non-null object \n",
+ " 15 issue_d 466285 non-null object \n",
+ " 16 loan_status 466285 non-null object \n",
+ " 17 pymnt_plan 466285 non-null object \n",
+ " 18 url 466285 non-null object \n",
+ " 19 desc 125983 non-null object \n",
+ " 20 purpose 466285 non-null object \n",
+ " 21 title 466265 non-null object \n",
+ " 22 zip_code 466285 non-null object \n",
+ " 23 addr_state 466285 non-null object \n",
+ " 24 dti 466285 non-null float64\n",
+ " 25 delinq_2yrs 466256 non-null float64\n",
+ " 26 earliest_cr_line 466256 non-null object \n",
+ " 27 inq_last_6mths 466256 non-null float64\n",
+ " 28 mths_since_last_delinq 215934 non-null float64\n",
+ " 29 mths_since_last_record 62638 non-null float64\n",
+ " 30 open_acc 466256 non-null float64\n",
+ " 31 pub_rec 466256 non-null float64\n",
+ " 32 revol_bal 466285 non-null int64 \n",
+ " 33 revol_util 465945 non-null float64\n",
+ " 34 total_acc 466256 non-null float64\n",
+ " 35 initial_list_status 466285 non-null object \n",
+ " 36 out_prncp 466285 non-null float64\n",
+ " 37 out_prncp_inv 466285 non-null float64\n",
+ " 38 total_pymnt 466285 non-null float64\n",
+ " 39 total_pymnt_inv 466285 non-null float64\n",
+ " 40 total_rec_prncp 466285 non-null float64\n",
+ " 41 total_rec_int 466285 non-null float64\n",
+ " 42 total_rec_late_fee 466285 non-null float64\n",
+ " 43 recoveries 466285 non-null float64\n",
+ " 44 collection_recovery_fee 466285 non-null float64\n",
+ " 45 last_pymnt_d 465909 non-null object \n",
+ " 46 last_pymnt_amnt 466285 non-null float64\n",
+ " 47 next_pymnt_d 239071 non-null object \n",
+ " 48 last_credit_pull_d 466243 non-null object \n",
+ " 49 collections_12_mths_ex_med 466140 non-null float64\n",
+ " 50 mths_since_last_major_derog 98974 non-null float64\n",
+ " 51 policy_code 466285 non-null int64 \n",
+ " 52 application_type 466285 non-null object \n",
+ " 53 annual_inc_joint 0 non-null float64\n",
+ " 54 dti_joint 0 non-null float64\n",
+ " 55 verification_status_joint 0 non-null float64\n",
+ " 56 acc_now_delinq 466256 non-null float64\n",
+ " 57 tot_coll_amt 396009 non-null float64\n",
+ " 58 tot_cur_bal 396009 non-null float64\n",
+ " 59 open_acc_6m 0 non-null float64\n",
+ " 60 open_il_6m 0 non-null float64\n",
+ " 61 open_il_12m 0 non-null float64\n",
+ " 62 open_il_24m 0 non-null float64\n",
+ " 63 mths_since_rcnt_il 0 non-null float64\n",
+ " 64 total_bal_il 0 non-null float64\n",
+ " 65 il_util 0 non-null float64\n",
+ " 66 open_rv_12m 0 non-null float64\n",
+ " 67 open_rv_24m 0 non-null float64\n",
+ " 68 max_bal_bc 0 non-null float64\n",
+ " 69 all_util 0 non-null float64\n",
+ " 70 total_rev_hi_lim 396009 non-null float64\n",
+ " 71 inq_fi 0 non-null float64\n",
+ " 72 total_cu_tl 0 non-null float64\n",
+ " 73 inq_last_12m 0 non-null float64\n",
+ "dtypes: float64(46), int64(6), object(22)\n",
+ "memory usage: 263.3+ MB\n"
+ ]
+ }
+ ],
+ "source": [
+ "df.info()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "bea73993",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "id 0\n",
+ "member_id 0\n",
+ "loan_amnt 0\n",
+ "funded_amnt 0\n",
+ "funded_amnt_inv 0\n",
+ " ... \n",
+ "all_util 466285\n",
+ "total_rev_hi_lim 70276\n",
+ "inq_fi 466285\n",
+ "total_cu_tl 466285\n",
+ "inq_last_12m 466285\n",
+ "Length: 74, dtype: int64"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.isnull().sum()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "6c855c61",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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+ " annual_inc | \n",
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+ " 11.360000 | \n",
+ " 0.000000 | \n",
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8 rows × 52 columns
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+ "text/plain": [
+ " id member_id loan_amnt funded_amnt \\\n",
+ "count 4.662850e+05 4.662850e+05 466285.000000 466285.000000 \n",
+ "mean 1.307973e+07 1.459766e+07 14317.277577 14291.801044 \n",
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+ "max 3.809811e+07 4.086083e+07 35000.000000 35000.000000 \n",
+ "\n",
+ " funded_amnt_inv int_rate installment annual_inc \\\n",
+ "count 466285.000000 466285.000000 466285.000000 4.662810e+05 \n",
+ "mean 14222.329888 13.829236 432.061201 7.327738e+04 \n",
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+ "75% 19950.000000 16.490000 566.580000 8.896000e+04 \n",
+ "max 35000.000000 26.060000 1409.990000 7.500000e+06 \n",
+ "\n",
+ " dti delinq_2yrs ... total_bal_il il_util open_rv_12m \\\n",
+ "count 466285.000000 466256.000000 ... 0.0 0.0 0.0 \n",
+ "mean 17.218758 0.284678 ... NaN NaN NaN \n",
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+ "75% 22.780000 0.000000 ... NaN NaN NaN \n",
+ "max 39.990000 29.000000 ... NaN NaN NaN \n",
+ "\n",
+ " open_rv_24m max_bal_bc all_util total_rev_hi_lim inq_fi \\\n",
+ "count 0.0 0.0 0.0 3.960090e+05 0.0 \n",
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+ " total_cu_tl inq_last_12m \n",
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+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
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+ ],
+ "source": [
+ "df.describe()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "b5097c39",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Index(['id', 'member_id', 'loan_amnt', 'funded_amnt', 'funded_amnt_inv',\n",
+ " 'term', 'int_rate', 'installment', 'grade', 'sub_grade', 'emp_title',\n",
+ " 'emp_length', 'home_ownership', 'annual_inc', 'verification_status',\n",
+ " 'issue_d', 'loan_status', 'pymnt_plan', 'url', 'desc', 'purpose',\n",
+ " 'title', 'zip_code', 'addr_state', 'dti', 'delinq_2yrs',\n",
+ " 'earliest_cr_line', 'inq_last_6mths', 'mths_since_last_delinq',\n",
+ " 'open_acc', 'pub_rec', 'revol_bal', 'revol_util', 'total_acc',\n",
+ " 'initial_list_status', 'out_prncp', 'out_prncp_inv', 'total_pymnt',\n",
+ " 'total_pymnt_inv', 'total_rec_prncp', 'total_rec_int',\n",
+ " 'total_rec_late_fee', 'recoveries', 'collection_recovery_fee',\n",
+ " 'last_pymnt_d', 'last_pymnt_amnt', 'next_pymnt_d', 'last_credit_pull_d',\n",
+ " 'collections_12_mths_ex_med', 'mths_since_last_major_derog',\n",
+ " 'policy_code', 'application_type', 'acc_now_delinq', 'tot_coll_amt',\n",
+ " 'tot_cur_bal', 'total_rev_hi_lim'],\n",
+ " dtype='object')"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.columns[df.isnull().mean() < 0.8]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "5f979a41",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "new_df=df[df.columns[df.isnull().mean() < 0.8]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "7cc3f240",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(466285, 56)"
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+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
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+ "source": [
+ "new_df.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
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+ "id": "5acd0f54",
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\n",
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+ " NaN | \n",
+ " Jan-15 | \n",
+ " 0.0 | \n",
+ " NaN | \n",
+ " 1 | \n",
+ " INDIVIDUAL | \n",
+ " 0.0 | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " 1075358 | \n",
+ " 1311748 | \n",
+ " 3000 | \n",
+ " 3000 | \n",
+ " 3000.0 | \n",
+ " 60 months | \n",
+ " 12.69 | \n",
+ " 67.79 | \n",
+ " B | \n",
+ " B5 | \n",
+ " ... | \n",
+ " Feb-16 | \n",
+ " Jan-16 | \n",
+ " 0.0 | \n",
+ " NaN | \n",
+ " 1 | \n",
+ " INDIVIDUAL | \n",
+ " 0.0 | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
5 rows × 56 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " id member_id loan_amnt funded_amnt funded_amnt_inv term \\\n",
+ "0 1077501 1296599 5000 5000 4975.0 36 months \n",
+ "1 1077430 1314167 2500 2500 2500.0 60 months \n",
+ "2 1077175 1313524 2400 2400 2400.0 36 months \n",
+ "3 1076863 1277178 10000 10000 10000.0 36 months \n",
+ "4 1075358 1311748 3000 3000 3000.0 60 months \n",
+ "\n",
+ " int_rate installment grade sub_grade ... next_pymnt_d last_credit_pull_d \\\n",
+ "0 10.65 162.87 B B2 ... NaN Jan-16 \n",
+ "1 15.27 59.83 C C4 ... NaN Sep-13 \n",
+ "2 15.96 84.33 C C5 ... NaN Jan-16 \n",
+ "3 13.49 339.31 C C1 ... NaN Jan-15 \n",
+ "4 12.69 67.79 B B5 ... Feb-16 Jan-16 \n",
+ "\n",
+ " collections_12_mths_ex_med mths_since_last_major_derog policy_code \\\n",
+ "0 0.0 NaN 1 \n",
+ "1 0.0 NaN 1 \n",
+ "2 0.0 NaN 1 \n",
+ "3 0.0 NaN 1 \n",
+ "4 0.0 NaN 1 \n",
+ "\n",
+ " application_type acc_now_delinq tot_coll_amt tot_cur_bal total_rev_hi_lim \n",
+ "0 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "1 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "2 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "3 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "4 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "\n",
+ "[5 rows x 56 columns]"
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "new_df.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "3d6daed2",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#facing difficulty in droping redundant and forward-looking columns "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "c516b784",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(466285, 56)"
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "new_df.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "7bd58faa",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
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\n",
+ " \n",
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+ " | \n",
+ " id | \n",
+ " member_id | \n",
+ " loan_amnt | \n",
+ " funded_amnt | \n",
+ " funded_amnt_inv | \n",
+ " term | \n",
+ " int_rate | \n",
+ " installment | \n",
+ " grade | \n",
+ " sub_grade | \n",
+ " ... | \n",
+ " next_pymnt_d | \n",
+ " last_credit_pull_d | \n",
+ " collections_12_mths_ex_med | \n",
+ " mths_since_last_major_derog | \n",
+ " policy_code | \n",
+ " application_type | \n",
+ " acc_now_delinq | \n",
+ " tot_coll_amt | \n",
+ " tot_cur_bal | \n",
+ " total_rev_hi_lim | \n",
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\n",
+ " \n",
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+ " \n",
+ " | 0 | \n",
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+ " 10.65 | \n",
+ " 162.87 | \n",
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+ " 0.0 | \n",
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+ " 1 | \n",
+ " INDIVIDUAL | \n",
+ " 0.0 | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
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\n",
+ " \n",
+ " | 1 | \n",
+ " 1077430 | \n",
+ " 1314167 | \n",
+ " 2500 | \n",
+ " 2500 | \n",
+ " 2500.0 | \n",
+ " 60 months | \n",
+ " 15.27 | \n",
+ " 59.83 | \n",
+ " C | \n",
+ " C4 | \n",
+ " ... | \n",
+ " NaN | \n",
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+ " 0.0 | \n",
+ " NaN | \n",
+ " 1 | \n",
+ " INDIVIDUAL | \n",
+ " 0.0 | \n",
+ " NaN | \n",
+ " NaN | \n",
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\n",
+ " \n",
+ " | 2 | \n",
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+ " 36 months | \n",
+ " 15.96 | \n",
+ " 84.33 | \n",
+ " C | \n",
+ " C5 | \n",
+ " ... | \n",
+ " NaN | \n",
+ " Jan-16 | \n",
+ " 0.0 | \n",
+ " NaN | \n",
+ " 1 | \n",
+ " INDIVIDUAL | \n",
+ " 0.0 | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
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\n",
+ " \n",
+ " | 3 | \n",
+ " 1076863 | \n",
+ " 1277178 | \n",
+ " 10000 | \n",
+ " 10000 | \n",
+ " 10000.0 | \n",
+ " 36 months | \n",
+ " 13.49 | \n",
+ " 339.31 | \n",
+ " C | \n",
+ " C1 | \n",
+ " ... | \n",
+ " NaN | \n",
+ " Jan-15 | \n",
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\n",
+ " \n",
+ " | 4 | \n",
+ " 1075358 | \n",
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+ " 3000 | \n",
+ " 3000 | \n",
+ " 3000.0 | \n",
+ " 60 months | \n",
+ " 12.69 | \n",
+ " 67.79 | \n",
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+ " Jan-16 | \n",
+ " 0.0 | \n",
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+ " 1 | \n",
+ " INDIVIDUAL | \n",
+ " 0.0 | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
5 rows × 56 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " id member_id loan_amnt funded_amnt funded_amnt_inv term \\\n",
+ "0 1077501 1296599 5000 5000 4975.0 36 months \n",
+ "1 1077430 1314167 2500 2500 2500.0 60 months \n",
+ "2 1077175 1313524 2400 2400 2400.0 36 months \n",
+ "3 1076863 1277178 10000 10000 10000.0 36 months \n",
+ "4 1075358 1311748 3000 3000 3000.0 60 months \n",
+ "\n",
+ " int_rate installment grade sub_grade ... next_pymnt_d last_credit_pull_d \\\n",
+ "0 10.65 162.87 B B2 ... NaN Jan-16 \n",
+ "1 15.27 59.83 C C4 ... NaN Sep-13 \n",
+ "2 15.96 84.33 C C5 ... NaN Jan-16 \n",
+ "3 13.49 339.31 C C1 ... NaN Jan-15 \n",
+ "4 12.69 67.79 B B5 ... Feb-16 Jan-16 \n",
+ "\n",
+ " collections_12_mths_ex_med mths_since_last_major_derog policy_code \\\n",
+ "0 0.0 NaN 1 \n",
+ "1 0.0 NaN 1 \n",
+ "2 0.0 NaN 1 \n",
+ "3 0.0 NaN 1 \n",
+ "4 0.0 NaN 1 \n",
+ "\n",
+ " application_type acc_now_delinq tot_coll_amt tot_cur_bal total_rev_hi_lim \n",
+ "0 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "1 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "2 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "3 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "4 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "\n",
+ "[5 rows x 56 columns]"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "new_df.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "d8f742ff",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array(['Fully Paid', 'Charged Off', 'Current', 'Default',\n",
+ " 'Late (31-120 days)', 'In Grace Period', 'Late (16-30 days)',\n",
+ " 'Does not meet the credit policy. Status:Fully Paid',\n",
+ " 'Does not meet the credit policy. Status:Charged Off'],\n",
+ " dtype=object)"
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "new_df['loan_status'].unique()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "6e61460a",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
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\n",
+ " \n",
+ " \n",
+ " | \n",
+ " id | \n",
+ " member_id | \n",
+ " loan_amnt | \n",
+ " funded_amnt | \n",
+ " funded_amnt_inv | \n",
+ " int_rate | \n",
+ " installment | \n",
+ " annual_inc | \n",
+ " dti | \n",
+ " delinq_2yrs | \n",
+ " ... | \n",
+ " recoveries | \n",
+ " collection_recovery_fee | \n",
+ " last_pymnt_amnt | \n",
+ " collections_12_mths_ex_med | \n",
+ " mths_since_last_major_derog | \n",
+ " policy_code | \n",
+ " acc_now_delinq | \n",
+ " tot_coll_amt | \n",
+ " tot_cur_bal | \n",
+ " total_rev_hi_lim | \n",
+ "
\n",
+ " \n",
+ " | loan_status | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
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+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
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+ " | \n",
+ " | \n",
+ " | \n",
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\n",
+ " \n",
+ " \n",
+ " \n",
+ " | Charged Off | \n",
+ " 8.917070e+06 | \n",
+ " 1.009728e+07 | \n",
+ " 14518.758682 | \n",
+ " 14470.241318 | \n",
+ " 14342.342678 | \n",
+ " 15.998834 | \n",
+ " 439.992667 | \n",
+ " 64750.370887 | \n",
+ " 18.219970 | \n",
+ " 0.271407 | \n",
+ " ... | \n",
+ " 926.523955 | \n",
+ " 96.189387 | \n",
+ " 454.438219 | \n",
+ " 0.006993 | \n",
+ " 42.481076 | \n",
+ " 1.0 | \n",
+ " 0.003602 | \n",
+ " 127.370317 | \n",
+ " 114522.093018 | \n",
+ " 26195.836948 | \n",
+ "
\n",
+ " \n",
+ " | Current | \n",
+ " 1.781912e+07 | \n",
+ " 1.975706e+07 | \n",
+ " 15177.366474 | \n",
+ " 15172.779584 | \n",
+ " 15164.954547 | \n",
+ " 13.773271 | \n",
+ " 447.410438 | \n",
+ " 74703.804790 | \n",
+ " 18.026668 | \n",
+ " 0.321604 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 457.937174 | \n",
+ " 0.012376 | \n",
+ " 42.782234 | \n",
+ " 1.0 | \n",
+ " 0.005191 | \n",
+ " 184.464786 | \n",
+ " 140668.380119 | \n",
+ " 31438.554947 | \n",
+ "
\n",
+ " \n",
+ " | Default | \n",
+ " 1.762283e+07 | \n",
+ " 1.958943e+07 | \n",
+ " 15284.885817 | \n",
+ " 15284.885817 | \n",
+ " 15279.967293 | \n",
+ " 16.136394 | \n",
+ " 455.537296 | \n",
+ " 65611.847500 | \n",
+ " 19.253089 | \n",
+ " 0.399038 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 477.220733 | \n",
+ " 0.008413 | \n",
+ " 43.317757 | \n",
+ " 1.0 | \n",
+ " 0.006010 | \n",
+ " 132.382064 | \n",
+ " 109985.603194 | \n",
+ " 27184.632678 | \n",
+ "
\n",
+ " \n",
+ " | Does not meet the credit policy. Status:Charged Off | \n",
+ " 3.820840e+05 | \n",
+ " 4.486098e+05 | \n",
+ " 9527.233903 | \n",
+ " 9248.127464 | \n",
+ " 5807.001406 | \n",
+ " 14.597148 | \n",
+ " 305.158804 | \n",
+ " 69525.915033 | \n",
+ " 14.343732 | \n",
+ " 0.215040 | \n",
+ " ... | \n",
+ " 579.002047 | \n",
+ " 122.187443 | \n",
+ " 305.497911 | \n",
+ " 0.000000 | \n",
+ " NaN | \n",
+ " 1.0 | \n",
+ " 0.000000 | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ "
\n",
+ " \n",
+ " | Does not meet the credit policy. Status:Fully Paid | \n",
+ " 3.961904e+05 | \n",
+ " 4.679018e+05 | \n",
+ " 8853.231891 | \n",
+ " 8679.376258 | \n",
+ " 6411.141563 | \n",
+ " 13.978642 | \n",
+ " 287.069225 | \n",
+ " 72145.418271 | \n",
+ " 14.107173 | \n",
+ " 0.248216 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 2178.940287 | \n",
+ " 0.000000 | \n",
+ " NaN | \n",
+ " 1.0 | \n",
+ " 0.002039 | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ "
\n",
+ " \n",
+ " | Fully Paid | \n",
+ " 8.195764e+06 | \n",
+ " 9.279226e+06 | \n",
+ " 13214.394226 | \n",
+ " 13169.988064 | \n",
+ " 13072.610934 | \n",
+ " 13.255943 | \n",
+ " 411.086245 | \n",
+ " 73709.612302 | \n",
+ " 15.937997 | \n",
+ " 0.236204 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 7165.937941 | \n",
+ " 0.005469 | \n",
+ " 43.037954 | \n",
+ " 1.0 | \n",
+ " 0.002598 | \n",
+ " 219.721618 | \n",
+ " 143006.253262 | \n",
+ " 29996.098672 | \n",
+ "
\n",
+ " \n",
+ " | In Grace Period | \n",
+ " 1.669005e+07 | \n",
+ " 1.853324e+07 | \n",
+ " 16128.289892 | \n",
+ " 16128.289892 | \n",
+ " 16120.110393 | \n",
+ " 15.827072 | \n",
+ " 486.777092 | \n",
+ " 74033.926462 | \n",
+ " 18.801208 | \n",
+ " 0.415130 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 546.211116 | \n",
+ " 0.013350 | \n",
+ " 43.729143 | \n",
+ " 1.0 | \n",
+ " 0.003179 | \n",
+ " 219.261688 | \n",
+ " 130041.024675 | \n",
+ " 25975.458766 | \n",
+ "
\n",
+ " \n",
+ " | Late (16-30 days) | \n",
+ " 1.750514e+07 | \n",
+ " 1.937542e+07 | \n",
+ " 15800.779967 | \n",
+ " 15800.779967 | \n",
+ " 15793.313843 | \n",
+ " 15.964466 | \n",
+ " 477.734885 | \n",
+ " 72390.530665 | \n",
+ " 18.625952 | \n",
+ " 0.444171 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 534.378596 | \n",
+ " 0.021346 | \n",
+ " 42.072193 | \n",
+ " 1.0 | \n",
+ " 0.004926 | \n",
+ " 215.194794 | \n",
+ " 133734.067170 | \n",
+ " 26412.624685 | \n",
+ "
\n",
+ " \n",
+ " | Late (31-120 days) | \n",
+ " 1.753228e+07 | \n",
+ " 1.942500e+07 | \n",
+ " 15553.757246 | \n",
+ " 15549.630435 | \n",
+ " 15542.374393 | \n",
+ " 15.947754 | \n",
+ " 465.948607 | \n",
+ " 69316.828822 | \n",
+ " 19.090399 | \n",
+ " 0.380870 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 506.048239 | \n",
+ " 0.011304 | \n",
+ " 43.028380 | \n",
+ " 1.0 | \n",
+ " 0.006377 | \n",
+ " 196.418793 | \n",
+ " 121340.395781 | \n",
+ " 26409.483552 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
9 rows × 34 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " id \\\n",
+ "loan_status \n",
+ "Charged Off 8.917070e+06 \n",
+ "Current 1.781912e+07 \n",
+ "Default 1.762283e+07 \n",
+ "Does not meet the credit policy. Status:Charged... 3.820840e+05 \n",
+ "Does not meet the credit policy. Status:Fully Paid 3.961904e+05 \n",
+ "Fully Paid 8.195764e+06 \n",
+ "In Grace Period 1.669005e+07 \n",
+ "Late (16-30 days) 1.750514e+07 \n",
+ "Late (31-120 days) 1.753228e+07 \n",
+ "\n",
+ " member_id \\\n",
+ "loan_status \n",
+ "Charged Off 1.009728e+07 \n",
+ "Current 1.975706e+07 \n",
+ "Default 1.958943e+07 \n",
+ "Does not meet the credit policy. Status:Charged... 4.486098e+05 \n",
+ "Does not meet the credit policy. Status:Fully Paid 4.679018e+05 \n",
+ "Fully Paid 9.279226e+06 \n",
+ "In Grace Period 1.853324e+07 \n",
+ "Late (16-30 days) 1.937542e+07 \n",
+ "Late (31-120 days) 1.942500e+07 \n",
+ "\n",
+ " loan_amnt \\\n",
+ "loan_status \n",
+ "Charged Off 14518.758682 \n",
+ "Current 15177.366474 \n",
+ "Default 15284.885817 \n",
+ "Does not meet the credit policy. Status:Charged... 9527.233903 \n",
+ "Does not meet the credit policy. Status:Fully Paid 8853.231891 \n",
+ "Fully Paid 13214.394226 \n",
+ "In Grace Period 16128.289892 \n",
+ "Late (16-30 days) 15800.779967 \n",
+ "Late (31-120 days) 15553.757246 \n",
+ "\n",
+ " funded_amnt \\\n",
+ "loan_status \n",
+ "Charged Off 14470.241318 \n",
+ "Current 15172.779584 \n",
+ "Default 15284.885817 \n",
+ "Does not meet the credit policy. Status:Charged... 9248.127464 \n",
+ "Does not meet the credit policy. Status:Fully Paid 8679.376258 \n",
+ "Fully Paid 13169.988064 \n",
+ "In Grace Period 16128.289892 \n",
+ "Late (16-30 days) 15800.779967 \n",
+ "Late (31-120 days) 15549.630435 \n",
+ "\n",
+ " funded_amnt_inv \\\n",
+ "loan_status \n",
+ "Charged Off 14342.342678 \n",
+ "Current 15164.954547 \n",
+ "Default 15279.967293 \n",
+ "Does not meet the credit policy. Status:Charged... 5807.001406 \n",
+ "Does not meet the credit policy. Status:Fully Paid 6411.141563 \n",
+ "Fully Paid 13072.610934 \n",
+ "In Grace Period 16120.110393 \n",
+ "Late (16-30 days) 15793.313843 \n",
+ "Late (31-120 days) 15542.374393 \n",
+ "\n",
+ " int_rate installment \\\n",
+ "loan_status \n",
+ "Charged Off 15.998834 439.992667 \n",
+ "Current 13.773271 447.410438 \n",
+ "Default 16.136394 455.537296 \n",
+ "Does not meet the credit policy. Status:Charged... 14.597148 305.158804 \n",
+ "Does not meet the credit policy. Status:Fully Paid 13.978642 287.069225 \n",
+ "Fully Paid 13.255943 411.086245 \n",
+ "In Grace Period 15.827072 486.777092 \n",
+ "Late (16-30 days) 15.964466 477.734885 \n",
+ "Late (31-120 days) 15.947754 465.948607 \n",
+ "\n",
+ " annual_inc dti \\\n",
+ "loan_status \n",
+ "Charged Off 64750.370887 18.219970 \n",
+ "Current 74703.804790 18.026668 \n",
+ "Default 65611.847500 19.253089 \n",
+ "Does not meet the credit policy. Status:Charged... 69525.915033 14.343732 \n",
+ "Does not meet the credit policy. Status:Fully Paid 72145.418271 14.107173 \n",
+ "Fully Paid 73709.612302 15.937997 \n",
+ "In Grace Period 74033.926462 18.801208 \n",
+ "Late (16-30 days) 72390.530665 18.625952 \n",
+ "Late (31-120 days) 69316.828822 19.090399 \n",
+ "\n",
+ " delinq_2yrs ... \\\n",
+ "loan_status ... \n",
+ "Charged Off 0.271407 ... \n",
+ "Current 0.321604 ... \n",
+ "Default 0.399038 ... \n",
+ "Does not meet the credit policy. Status:Charged... 0.215040 ... \n",
+ "Does not meet the credit policy. Status:Fully Paid 0.248216 ... \n",
+ "Fully Paid 0.236204 ... \n",
+ "In Grace Period 0.415130 ... \n",
+ "Late (16-30 days) 0.444171 ... \n",
+ "Late (31-120 days) 0.380870 ... \n",
+ "\n",
+ " recoveries \\\n",
+ "loan_status \n",
+ "Charged Off 926.523955 \n",
+ "Current 0.000000 \n",
+ "Default 0.000000 \n",
+ "Does not meet the credit policy. Status:Charged... 579.002047 \n",
+ "Does not meet the credit policy. Status:Fully Paid 0.000000 \n",
+ "Fully Paid 0.000000 \n",
+ "In Grace Period 0.000000 \n",
+ "Late (16-30 days) 0.000000 \n",
+ "Late (31-120 days) 0.000000 \n",
+ "\n",
+ " collection_recovery_fee \\\n",
+ "loan_status \n",
+ "Charged Off 96.189387 \n",
+ "Current 0.000000 \n",
+ "Default 0.000000 \n",
+ "Does not meet the credit policy. Status:Charged... 122.187443 \n",
+ "Does not meet the credit policy. Status:Fully Paid 0.000000 \n",
+ "Fully Paid 0.000000 \n",
+ "In Grace Period 0.000000 \n",
+ "Late (16-30 days) 0.000000 \n",
+ "Late (31-120 days) 0.000000 \n",
+ "\n",
+ " last_pymnt_amnt \\\n",
+ "loan_status \n",
+ "Charged Off 454.438219 \n",
+ "Current 457.937174 \n",
+ "Default 477.220733 \n",
+ "Does not meet the credit policy. Status:Charged... 305.497911 \n",
+ "Does not meet the credit policy. Status:Fully Paid 2178.940287 \n",
+ "Fully Paid 7165.937941 \n",
+ "In Grace Period 546.211116 \n",
+ "Late (16-30 days) 534.378596 \n",
+ "Late (31-120 days) 506.048239 \n",
+ "\n",
+ " collections_12_mths_ex_med \\\n",
+ "loan_status \n",
+ "Charged Off 0.006993 \n",
+ "Current 0.012376 \n",
+ "Default 0.008413 \n",
+ "Does not meet the credit policy. Status:Charged... 0.000000 \n",
+ "Does not meet the credit policy. Status:Fully Paid 0.000000 \n",
+ "Fully Paid 0.005469 \n",
+ "In Grace Period 0.013350 \n",
+ "Late (16-30 days) 0.021346 \n",
+ "Late (31-120 days) 0.011304 \n",
+ "\n",
+ " mths_since_last_major_derog \\\n",
+ "loan_status \n",
+ "Charged Off 42.481076 \n",
+ "Current 42.782234 \n",
+ "Default 43.317757 \n",
+ "Does not meet the credit policy. Status:Charged... NaN \n",
+ "Does not meet the credit policy. Status:Fully Paid NaN \n",
+ "Fully Paid 43.037954 \n",
+ "In Grace Period 43.729143 \n",
+ "Late (16-30 days) 42.072193 \n",
+ "Late (31-120 days) 43.028380 \n",
+ "\n",
+ " policy_code \\\n",
+ "loan_status \n",
+ "Charged Off 1.0 \n",
+ "Current 1.0 \n",
+ "Default 1.0 \n",
+ "Does not meet the credit policy. Status:Charged... 1.0 \n",
+ "Does not meet the credit policy. Status:Fully Paid 1.0 \n",
+ "Fully Paid 1.0 \n",
+ "In Grace Period 1.0 \n",
+ "Late (16-30 days) 1.0 \n",
+ "Late (31-120 days) 1.0 \n",
+ "\n",
+ " acc_now_delinq \\\n",
+ "loan_status \n",
+ "Charged Off 0.003602 \n",
+ "Current 0.005191 \n",
+ "Default 0.006010 \n",
+ "Does not meet the credit policy. Status:Charged... 0.000000 \n",
+ "Does not meet the credit policy. Status:Fully Paid 0.002039 \n",
+ "Fully Paid 0.002598 \n",
+ "In Grace Period 0.003179 \n",
+ "Late (16-30 days) 0.004926 \n",
+ "Late (31-120 days) 0.006377 \n",
+ "\n",
+ " tot_coll_amt \\\n",
+ "loan_status \n",
+ "Charged Off 127.370317 \n",
+ "Current 184.464786 \n",
+ "Default 132.382064 \n",
+ "Does not meet the credit policy. Status:Charged... NaN \n",
+ "Does not meet the credit policy. Status:Fully Paid NaN \n",
+ "Fully Paid 219.721618 \n",
+ "In Grace Period 219.261688 \n",
+ "Late (16-30 days) 215.194794 \n",
+ "Late (31-120 days) 196.418793 \n",
+ "\n",
+ " tot_cur_bal \\\n",
+ "loan_status \n",
+ "Charged Off 114522.093018 \n",
+ "Current 140668.380119 \n",
+ "Default 109985.603194 \n",
+ "Does not meet the credit policy. Status:Charged... NaN \n",
+ "Does not meet the credit policy. Status:Fully Paid NaN \n",
+ "Fully Paid 143006.253262 \n",
+ "In Grace Period 130041.024675 \n",
+ "Late (16-30 days) 133734.067170 \n",
+ "Late (31-120 days) 121340.395781 \n",
+ "\n",
+ " total_rev_hi_lim \n",
+ "loan_status \n",
+ "Charged Off 26195.836948 \n",
+ "Current 31438.554947 \n",
+ "Default 27184.632678 \n",
+ "Does not meet the credit policy. Status:Charged... NaN \n",
+ "Does not meet the credit policy. Status:Fully Paid NaN \n",
+ "Fully Paid 29996.098672 \n",
+ "In Grace Period 25975.458766 \n",
+ "Late (16-30 days) 26412.624685 \n",
+ "Late (31-120 days) 26409.483552 \n",
+ "\n",
+ "[9 rows x 34 columns]"
+ ]
+ },
+ "execution_count": 15,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "loan_status=new_df.groupby('loan_status').mean()\n",
+ "loan_status"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "cfadc379",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.9.13"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
From e5d0f8ced8c91d1dad90c1941bf121fbd7c1c17b Mon Sep 17 00:00:00 2001
From: ayushhimmatsinghka
<106641708+ayushhimmatsinghka@users.noreply.github.com>
Date: Wed, 13 Jul 2022 00:12:36 +0530
Subject: [PATCH 5/8] Create 210245_AYUSH_2
---
Assignment 2/210245_AYUSH_2 | 1 +
1 file changed, 1 insertion(+)
create mode 100644 Assignment 2/210245_AYUSH_2
diff --git a/Assignment 2/210245_AYUSH_2 b/Assignment 2/210245_AYUSH_2
new file mode 100644
index 0000000..8b13789
--- /dev/null
+++ b/Assignment 2/210245_AYUSH_2
@@ -0,0 +1 @@
+
From 9865db07d079f05a74e59fa16e721df73e0edecc Mon Sep 17 00:00:00 2001
From: ayushhimmatsinghka
<106641708+ayushhimmatsinghka@users.noreply.github.com>
Date: Wed, 13 Jul 2022 00:13:51 +0530
Subject: [PATCH 6/8] Add files via upload
---
Assignment 2/210245_AYUSH_2.ipynb | 1599 +++++++++++++++++++++++++++++
1 file changed, 1599 insertions(+)
create mode 100644 Assignment 2/210245_AYUSH_2.ipynb
diff --git a/Assignment 2/210245_AYUSH_2.ipynb b/Assignment 2/210245_AYUSH_2.ipynb
new file mode 100644
index 0000000..719ecf0
--- /dev/null
+++ b/Assignment 2/210245_AYUSH_2.ipynb
@@ -0,0 +1,1599 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "1f5754b4",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "import matplotlib as mpl\n",
+ "import matplotlib.pyplot as plt\n",
+ "import sys\n",
+ "import seaborn as sns\n",
+ "from math import sqrt\n",
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "7040d82c",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.model_selection import train_test_split,RepeatedStratifiedKFold,cross_val_score\n",
+ "from sklearn.linear_model import LogisticRegression \n",
+ "from sklearn.metrics import roc_curve , roc_auc_score,confusion_matrix,precision_recall_curve,auc\n",
+ "from sklearn.feature_selection import f_classif\n",
+ "from sklearn.pipeline import Pipeline\n",
+ "from sklearn.base import BaseEstimator,TransformerMixin\n",
+ "from scipy.stats import chi2_contingency"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "230a177c",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df = pd.read_csv('credit_risk_dataset.csv',low_memory=False )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "6fba0e33",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "RangeIndex: 466285 entries, 0 to 466284\n",
+ "Data columns (total 74 columns):\n",
+ " # Column Non-Null Count Dtype \n",
+ "--- ------ -------------- ----- \n",
+ " 0 id 466285 non-null int64 \n",
+ " 1 member_id 466285 non-null int64 \n",
+ " 2 loan_amnt 466285 non-null int64 \n",
+ " 3 funded_amnt 466285 non-null int64 \n",
+ " 4 funded_amnt_inv 466285 non-null float64\n",
+ " 5 term 466285 non-null object \n",
+ " 6 int_rate 466285 non-null float64\n",
+ " 7 installment 466285 non-null float64\n",
+ " 8 grade 466285 non-null object \n",
+ " 9 sub_grade 466285 non-null object \n",
+ " 10 emp_title 438697 non-null object \n",
+ " 11 emp_length 445277 non-null object \n",
+ " 12 home_ownership 466285 non-null object \n",
+ " 13 annual_inc 466281 non-null float64\n",
+ " 14 verification_status 466285 non-null object \n",
+ " 15 issue_d 466285 non-null object \n",
+ " 16 loan_status 466285 non-null object \n",
+ " 17 pymnt_plan 466285 non-null object \n",
+ " 18 url 466285 non-null object \n",
+ " 19 desc 125983 non-null object \n",
+ " 20 purpose 466285 non-null object \n",
+ " 21 title 466265 non-null object \n",
+ " 22 zip_code 466285 non-null object \n",
+ " 23 addr_state 466285 non-null object \n",
+ " 24 dti 466285 non-null float64\n",
+ " 25 delinq_2yrs 466256 non-null float64\n",
+ " 26 earliest_cr_line 466256 non-null object \n",
+ " 27 inq_last_6mths 466256 non-null float64\n",
+ " 28 mths_since_last_delinq 215934 non-null float64\n",
+ " 29 mths_since_last_record 62638 non-null float64\n",
+ " 30 open_acc 466256 non-null float64\n",
+ " 31 pub_rec 466256 non-null float64\n",
+ " 32 revol_bal 466285 non-null int64 \n",
+ " 33 revol_util 465945 non-null float64\n",
+ " 34 total_acc 466256 non-null float64\n",
+ " 35 initial_list_status 466285 non-null object \n",
+ " 36 out_prncp 466285 non-null float64\n",
+ " 37 out_prncp_inv 466285 non-null float64\n",
+ " 38 total_pymnt 466285 non-null float64\n",
+ " 39 total_pymnt_inv 466285 non-null float64\n",
+ " 40 total_rec_prncp 466285 non-null float64\n",
+ " 41 total_rec_int 466285 non-null float64\n",
+ " 42 total_rec_late_fee 466285 non-null float64\n",
+ " 43 recoveries 466285 non-null float64\n",
+ " 44 collection_recovery_fee 466285 non-null float64\n",
+ " 45 last_pymnt_d 465909 non-null object \n",
+ " 46 last_pymnt_amnt 466285 non-null float64\n",
+ " 47 next_pymnt_d 239071 non-null object \n",
+ " 48 last_credit_pull_d 466243 non-null object \n",
+ " 49 collections_12_mths_ex_med 466140 non-null float64\n",
+ " 50 mths_since_last_major_derog 98974 non-null float64\n",
+ " 51 policy_code 466285 non-null int64 \n",
+ " 52 application_type 466285 non-null object \n",
+ " 53 annual_inc_joint 0 non-null float64\n",
+ " 54 dti_joint 0 non-null float64\n",
+ " 55 verification_status_joint 0 non-null float64\n",
+ " 56 acc_now_delinq 466256 non-null float64\n",
+ " 57 tot_coll_amt 396009 non-null float64\n",
+ " 58 tot_cur_bal 396009 non-null float64\n",
+ " 59 open_acc_6m 0 non-null float64\n",
+ " 60 open_il_6m 0 non-null float64\n",
+ " 61 open_il_12m 0 non-null float64\n",
+ " 62 open_il_24m 0 non-null float64\n",
+ " 63 mths_since_rcnt_il 0 non-null float64\n",
+ " 64 total_bal_il 0 non-null float64\n",
+ " 65 il_util 0 non-null float64\n",
+ " 66 open_rv_12m 0 non-null float64\n",
+ " 67 open_rv_24m 0 non-null float64\n",
+ " 68 max_bal_bc 0 non-null float64\n",
+ " 69 all_util 0 non-null float64\n",
+ " 70 total_rev_hi_lim 396009 non-null float64\n",
+ " 71 inq_fi 0 non-null float64\n",
+ " 72 total_cu_tl 0 non-null float64\n",
+ " 73 inq_last_12m 0 non-null float64\n",
+ "dtypes: float64(46), int64(6), object(22)\n",
+ "memory usage: 263.3+ MB\n"
+ ]
+ }
+ ],
+ "source": [
+ "df.info()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "bea73993",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "id 0\n",
+ "member_id 0\n",
+ "loan_amnt 0\n",
+ "funded_amnt 0\n",
+ "funded_amnt_inv 0\n",
+ " ... \n",
+ "all_util 466285\n",
+ "total_rev_hi_lim 70276\n",
+ "inq_fi 466285\n",
+ "total_cu_tl 466285\n",
+ "inq_last_12m 466285\n",
+ "Length: 74, dtype: int64"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.isnull().sum()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "6c855c61",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
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\n",
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+ " | \n",
+ " id | \n",
+ " member_id | \n",
+ " loan_amnt | \n",
+ " funded_amnt | \n",
+ " funded_amnt_inv | \n",
+ " int_rate | \n",
+ " installment | \n",
+ " annual_inc | \n",
+ " dti | \n",
+ " delinq_2yrs | \n",
+ " ... | \n",
+ " total_bal_il | \n",
+ " il_util | \n",
+ " open_rv_12m | \n",
+ " open_rv_24m | \n",
+ " max_bal_bc | \n",
+ " all_util | \n",
+ " total_rev_hi_lim | \n",
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+ " total_cu_tl | \n",
+ " inq_last_12m | \n",
+ "
\n",
+ " \n",
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+ " | count | \n",
+ " 4.662850e+05 | \n",
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+ " 466285.000000 | \n",
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+ " 466285.000000 | \n",
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\n",
+ " \n",
+ " | mean | \n",
+ " 1.307973e+07 | \n",
+ " 1.459766e+07 | \n",
+ " 14317.277577 | \n",
+ " 14291.801044 | \n",
+ " 14222.329888 | \n",
+ " 13.829236 | \n",
+ " 432.061201 | \n",
+ " 7.327738e+04 | \n",
+ " 17.218758 | \n",
+ " 0.284678 | \n",
+ " ... | \n",
+ " NaN | \n",
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+ " 3.037909e+04 | \n",
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\n",
+ " \n",
+ " | std | \n",
+ " 1.089371e+07 | \n",
+ " 1.168237e+07 | \n",
+ " 8286.509164 | \n",
+ " 8274.371300 | \n",
+ " 8297.637788 | \n",
+ " 4.357587 | \n",
+ " 243.485550 | \n",
+ " 5.496357e+04 | \n",
+ " 7.851121 | \n",
+ " 0.797365 | \n",
+ " ... | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " 3.724713e+04 | \n",
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+ " NaN | \n",
+ "
\n",
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+ " | min | \n",
+ " 5.473400e+04 | \n",
+ " 7.047300e+04 | \n",
+ " 500.000000 | \n",
+ " 500.000000 | \n",
+ " 0.000000 | \n",
+ " 5.420000 | \n",
+ " 15.670000 | \n",
+ " 1.896000e+03 | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " ... | \n",
+ " NaN | \n",
+ " NaN | \n",
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+ " 0.000000e+00 | \n",
+ " NaN | \n",
+ " NaN | \n",
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\n",
+ " \n",
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+ " 3.639987e+06 | \n",
+ " 4.379705e+06 | \n",
+ " 8000.000000 | \n",
+ " 8000.000000 | \n",
+ " 8000.000000 | \n",
+ " 10.990000 | \n",
+ " 256.690000 | \n",
+ " 4.500000e+04 | \n",
+ " 11.360000 | \n",
+ " 0.000000 | \n",
+ " ... | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " 1.350000e+04 | \n",
+ " NaN | \n",
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+ " NaN | \n",
+ "
\n",
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+ " | 50% | \n",
+ " 1.010790e+07 | \n",
+ " 1.194108e+07 | \n",
+ " 12000.000000 | \n",
+ " 12000.000000 | \n",
+ " 12000.000000 | \n",
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+ " 6.300000e+04 | \n",
+ " 16.870000 | \n",
+ " 0.000000 | \n",
+ " ... | \n",
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+ " NaN | \n",
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+ " 2.280000e+04 | \n",
+ " NaN | \n",
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\n",
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+ " 2.073121e+07 | \n",
+ " 2.300154e+07 | \n",
+ " 20000.000000 | \n",
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+ " 8.896000e+04 | \n",
+ " 22.780000 | \n",
+ " 0.000000 | \n",
+ " ... | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
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+ " NaN | \n",
+ " NaN | \n",
+ " 3.790000e+04 | \n",
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\n",
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+ " 3.809811e+07 | \n",
+ " 4.086083e+07 | \n",
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+ " 1409.990000 | \n",
+ " 7.500000e+06 | \n",
+ " 39.990000 | \n",
+ " 29.000000 | \n",
+ " ... | \n",
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+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " 9.999999e+06 | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
8 rows × 52 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " id member_id loan_amnt funded_amnt \\\n",
+ "count 4.662850e+05 4.662850e+05 466285.000000 466285.000000 \n",
+ "mean 1.307973e+07 1.459766e+07 14317.277577 14291.801044 \n",
+ "std 1.089371e+07 1.168237e+07 8286.509164 8274.371300 \n",
+ "min 5.473400e+04 7.047300e+04 500.000000 500.000000 \n",
+ "25% 3.639987e+06 4.379705e+06 8000.000000 8000.000000 \n",
+ "50% 1.010790e+07 1.194108e+07 12000.000000 12000.000000 \n",
+ "75% 2.073121e+07 2.300154e+07 20000.000000 20000.000000 \n",
+ "max 3.809811e+07 4.086083e+07 35000.000000 35000.000000 \n",
+ "\n",
+ " funded_amnt_inv int_rate installment annual_inc \\\n",
+ "count 466285.000000 466285.000000 466285.000000 4.662810e+05 \n",
+ "mean 14222.329888 13.829236 432.061201 7.327738e+04 \n",
+ "std 8297.637788 4.357587 243.485550 5.496357e+04 \n",
+ "min 0.000000 5.420000 15.670000 1.896000e+03 \n",
+ "25% 8000.000000 10.990000 256.690000 4.500000e+04 \n",
+ "50% 12000.000000 13.660000 379.890000 6.300000e+04 \n",
+ "75% 19950.000000 16.490000 566.580000 8.896000e+04 \n",
+ "max 35000.000000 26.060000 1409.990000 7.500000e+06 \n",
+ "\n",
+ " dti delinq_2yrs ... total_bal_il il_util open_rv_12m \\\n",
+ "count 466285.000000 466256.000000 ... 0.0 0.0 0.0 \n",
+ "mean 17.218758 0.284678 ... NaN NaN NaN \n",
+ "std 7.851121 0.797365 ... NaN NaN NaN \n",
+ "min 0.000000 0.000000 ... NaN NaN NaN \n",
+ "25% 11.360000 0.000000 ... NaN NaN NaN \n",
+ "50% 16.870000 0.000000 ... NaN NaN NaN \n",
+ "75% 22.780000 0.000000 ... NaN NaN NaN \n",
+ "max 39.990000 29.000000 ... NaN NaN NaN \n",
+ "\n",
+ " open_rv_24m max_bal_bc all_util total_rev_hi_lim inq_fi \\\n",
+ "count 0.0 0.0 0.0 3.960090e+05 0.0 \n",
+ "mean NaN NaN NaN 3.037909e+04 NaN \n",
+ "std NaN NaN NaN 3.724713e+04 NaN \n",
+ "min NaN NaN NaN 0.000000e+00 NaN \n",
+ "25% NaN NaN NaN 1.350000e+04 NaN \n",
+ "50% NaN NaN NaN 2.280000e+04 NaN \n",
+ "75% NaN NaN NaN 3.790000e+04 NaN \n",
+ "max NaN NaN NaN 9.999999e+06 NaN \n",
+ "\n",
+ " total_cu_tl inq_last_12m \n",
+ "count 0.0 0.0 \n",
+ "mean NaN NaN \n",
+ "std NaN NaN \n",
+ "min NaN NaN \n",
+ "25% NaN NaN \n",
+ "50% NaN NaN \n",
+ "75% NaN NaN \n",
+ "max NaN NaN \n",
+ "\n",
+ "[8 rows x 52 columns]"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.describe()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "b5097c39",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Index(['id', 'member_id', 'loan_amnt', 'funded_amnt', 'funded_amnt_inv',\n",
+ " 'term', 'int_rate', 'installment', 'grade', 'sub_grade', 'emp_title',\n",
+ " 'emp_length', 'home_ownership', 'annual_inc', 'verification_status',\n",
+ " 'issue_d', 'loan_status', 'pymnt_plan', 'url', 'desc', 'purpose',\n",
+ " 'title', 'zip_code', 'addr_state', 'dti', 'delinq_2yrs',\n",
+ " 'earliest_cr_line', 'inq_last_6mths', 'mths_since_last_delinq',\n",
+ " 'open_acc', 'pub_rec', 'revol_bal', 'revol_util', 'total_acc',\n",
+ " 'initial_list_status', 'out_prncp', 'out_prncp_inv', 'total_pymnt',\n",
+ " 'total_pymnt_inv', 'total_rec_prncp', 'total_rec_int',\n",
+ " 'total_rec_late_fee', 'recoveries', 'collection_recovery_fee',\n",
+ " 'last_pymnt_d', 'last_pymnt_amnt', 'next_pymnt_d', 'last_credit_pull_d',\n",
+ " 'collections_12_mths_ex_med', 'mths_since_last_major_derog',\n",
+ " 'policy_code', 'application_type', 'acc_now_delinq', 'tot_coll_amt',\n",
+ " 'tot_cur_bal', 'total_rev_hi_lim'],\n",
+ " dtype='object')"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.columns[df.isnull().mean() < 0.8]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "5f979a41",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "new_df=df[df.columns[df.isnull().mean() < 0.8]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "7cc3f240",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(466285, 56)"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "new_df.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "5acd0f54",
+ "metadata": {},
+ "outputs": [
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+ " term | \n",
+ " int_rate | \n",
+ " installment | \n",
+ " grade | \n",
+ " sub_grade | \n",
+ " ... | \n",
+ " next_pymnt_d | \n",
+ " last_credit_pull_d | \n",
+ " collections_12_mths_ex_med | \n",
+ " mths_since_last_major_derog | \n",
+ " policy_code | \n",
+ " application_type | \n",
+ " acc_now_delinq | \n",
+ " tot_coll_amt | \n",
+ " tot_cur_bal | \n",
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5 rows × 56 columns
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+ "
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+ ],
+ "text/plain": [
+ " id member_id loan_amnt funded_amnt funded_amnt_inv term \\\n",
+ "0 1077501 1296599 5000 5000 4975.0 36 months \n",
+ "1 1077430 1314167 2500 2500 2500.0 60 months \n",
+ "2 1077175 1313524 2400 2400 2400.0 36 months \n",
+ "3 1076863 1277178 10000 10000 10000.0 36 months \n",
+ "4 1075358 1311748 3000 3000 3000.0 60 months \n",
+ "\n",
+ " int_rate installment grade sub_grade ... next_pymnt_d last_credit_pull_d \\\n",
+ "0 10.65 162.87 B B2 ... NaN Jan-16 \n",
+ "1 15.27 59.83 C C4 ... NaN Sep-13 \n",
+ "2 15.96 84.33 C C5 ... NaN Jan-16 \n",
+ "3 13.49 339.31 C C1 ... NaN Jan-15 \n",
+ "4 12.69 67.79 B B5 ... Feb-16 Jan-16 \n",
+ "\n",
+ " collections_12_mths_ex_med mths_since_last_major_derog policy_code \\\n",
+ "0 0.0 NaN 1 \n",
+ "1 0.0 NaN 1 \n",
+ "2 0.0 NaN 1 \n",
+ "3 0.0 NaN 1 \n",
+ "4 0.0 NaN 1 \n",
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+ "0 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "1 INDIVIDUAL 0.0 NaN NaN NaN \n",
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+ "3 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "4 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "\n",
+ "[5 rows x 56 columns]"
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+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "new_df.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "3d6daed2",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#facing difficulty in droping redundant and forward-looking columns "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "c516b784",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(466285, 56)"
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "new_df.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "7bd58faa",
+ "metadata": {},
+ "outputs": [
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+ "data": {
+ "text/html": [
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+ " int_rate | \n",
+ " installment | \n",
+ " grade | \n",
+ " sub_grade | \n",
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+ " next_pymnt_d | \n",
+ " last_credit_pull_d | \n",
+ " collections_12_mths_ex_med | \n",
+ " mths_since_last_major_derog | \n",
+ " policy_code | \n",
+ " application_type | \n",
+ " acc_now_delinq | \n",
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5 rows × 56 columns
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+ " id member_id loan_amnt funded_amnt funded_amnt_inv term \\\n",
+ "0 1077501 1296599 5000 5000 4975.0 36 months \n",
+ "1 1077430 1314167 2500 2500 2500.0 60 months \n",
+ "2 1077175 1313524 2400 2400 2400.0 36 months \n",
+ "3 1076863 1277178 10000 10000 10000.0 36 months \n",
+ "4 1075358 1311748 3000 3000 3000.0 60 months \n",
+ "\n",
+ " int_rate installment grade sub_grade ... next_pymnt_d last_credit_pull_d \\\n",
+ "0 10.65 162.87 B B2 ... NaN Jan-16 \n",
+ "1 15.27 59.83 C C4 ... NaN Sep-13 \n",
+ "2 15.96 84.33 C C5 ... NaN Jan-16 \n",
+ "3 13.49 339.31 C C1 ... NaN Jan-15 \n",
+ "4 12.69 67.79 B B5 ... Feb-16 Jan-16 \n",
+ "\n",
+ " collections_12_mths_ex_med mths_since_last_major_derog policy_code \\\n",
+ "0 0.0 NaN 1 \n",
+ "1 0.0 NaN 1 \n",
+ "2 0.0 NaN 1 \n",
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+ "0 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "1 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "2 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "3 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "4 INDIVIDUAL 0.0 NaN NaN NaN \n",
+ "\n",
+ "[5 rows x 56 columns]"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "new_df.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "d8f742ff",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array(['Fully Paid', 'Charged Off', 'Current', 'Default',\n",
+ " 'Late (31-120 days)', 'In Grace Period', 'Late (16-30 days)',\n",
+ " 'Does not meet the credit policy. Status:Fully Paid',\n",
+ " 'Does not meet the credit policy. Status:Charged Off'],\n",
+ " dtype=object)"
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "new_df['loan_status'].unique()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "6e61460a",
+ "metadata": {},
+ "outputs": [
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\n",
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+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 457.937174 | \n",
+ " 0.012376 | \n",
+ " 42.782234 | \n",
+ " 1.0 | \n",
+ " 0.005191 | \n",
+ " 184.464786 | \n",
+ " 140668.380119 | \n",
+ " 31438.554947 | \n",
+ "
\n",
+ " \n",
+ " | Default | \n",
+ " 1.762283e+07 | \n",
+ " 1.958943e+07 | \n",
+ " 15284.885817 | \n",
+ " 15284.885817 | \n",
+ " 15279.967293 | \n",
+ " 16.136394 | \n",
+ " 455.537296 | \n",
+ " 65611.847500 | \n",
+ " 19.253089 | \n",
+ " 0.399038 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 477.220733 | \n",
+ " 0.008413 | \n",
+ " 43.317757 | \n",
+ " 1.0 | \n",
+ " 0.006010 | \n",
+ " 132.382064 | \n",
+ " 109985.603194 | \n",
+ " 27184.632678 | \n",
+ "
\n",
+ " \n",
+ " | Does not meet the credit policy. Status:Charged Off | \n",
+ " 3.820840e+05 | \n",
+ " 4.486098e+05 | \n",
+ " 9527.233903 | \n",
+ " 9248.127464 | \n",
+ " 5807.001406 | \n",
+ " 14.597148 | \n",
+ " 305.158804 | \n",
+ " 69525.915033 | \n",
+ " 14.343732 | \n",
+ " 0.215040 | \n",
+ " ... | \n",
+ " 579.002047 | \n",
+ " 122.187443 | \n",
+ " 305.497911 | \n",
+ " 0.000000 | \n",
+ " NaN | \n",
+ " 1.0 | \n",
+ " 0.000000 | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ "
\n",
+ " \n",
+ " | Does not meet the credit policy. Status:Fully Paid | \n",
+ " 3.961904e+05 | \n",
+ " 4.679018e+05 | \n",
+ " 8853.231891 | \n",
+ " 8679.376258 | \n",
+ " 6411.141563 | \n",
+ " 13.978642 | \n",
+ " 287.069225 | \n",
+ " 72145.418271 | \n",
+ " 14.107173 | \n",
+ " 0.248216 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 2178.940287 | \n",
+ " 0.000000 | \n",
+ " NaN | \n",
+ " 1.0 | \n",
+ " 0.002039 | \n",
+ " NaN | \n",
+ " NaN | \n",
+ " NaN | \n",
+ "
\n",
+ " \n",
+ " | Fully Paid | \n",
+ " 8.195764e+06 | \n",
+ " 9.279226e+06 | \n",
+ " 13214.394226 | \n",
+ " 13169.988064 | \n",
+ " 13072.610934 | \n",
+ " 13.255943 | \n",
+ " 411.086245 | \n",
+ " 73709.612302 | \n",
+ " 15.937997 | \n",
+ " 0.236204 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 7165.937941 | \n",
+ " 0.005469 | \n",
+ " 43.037954 | \n",
+ " 1.0 | \n",
+ " 0.002598 | \n",
+ " 219.721618 | \n",
+ " 143006.253262 | \n",
+ " 29996.098672 | \n",
+ "
\n",
+ " \n",
+ " | In Grace Period | \n",
+ " 1.669005e+07 | \n",
+ " 1.853324e+07 | \n",
+ " 16128.289892 | \n",
+ " 16128.289892 | \n",
+ " 16120.110393 | \n",
+ " 15.827072 | \n",
+ " 486.777092 | \n",
+ " 74033.926462 | \n",
+ " 18.801208 | \n",
+ " 0.415130 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 546.211116 | \n",
+ " 0.013350 | \n",
+ " 43.729143 | \n",
+ " 1.0 | \n",
+ " 0.003179 | \n",
+ " 219.261688 | \n",
+ " 130041.024675 | \n",
+ " 25975.458766 | \n",
+ "
\n",
+ " \n",
+ " | Late (16-30 days) | \n",
+ " 1.750514e+07 | \n",
+ " 1.937542e+07 | \n",
+ " 15800.779967 | \n",
+ " 15800.779967 | \n",
+ " 15793.313843 | \n",
+ " 15.964466 | \n",
+ " 477.734885 | \n",
+ " 72390.530665 | \n",
+ " 18.625952 | \n",
+ " 0.444171 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 534.378596 | \n",
+ " 0.021346 | \n",
+ " 42.072193 | \n",
+ " 1.0 | \n",
+ " 0.004926 | \n",
+ " 215.194794 | \n",
+ " 133734.067170 | \n",
+ " 26412.624685 | \n",
+ "
\n",
+ " \n",
+ " | Late (31-120 days) | \n",
+ " 1.753228e+07 | \n",
+ " 1.942500e+07 | \n",
+ " 15553.757246 | \n",
+ " 15549.630435 | \n",
+ " 15542.374393 | \n",
+ " 15.947754 | \n",
+ " 465.948607 | \n",
+ " 69316.828822 | \n",
+ " 19.090399 | \n",
+ " 0.380870 | \n",
+ " ... | \n",
+ " 0.000000 | \n",
+ " 0.000000 | \n",
+ " 506.048239 | \n",
+ " 0.011304 | \n",
+ " 43.028380 | \n",
+ " 1.0 | \n",
+ " 0.006377 | \n",
+ " 196.418793 | \n",
+ " 121340.395781 | \n",
+ " 26409.483552 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
9 rows × 34 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " id \\\n",
+ "loan_status \n",
+ "Charged Off 8.917070e+06 \n",
+ "Current 1.781912e+07 \n",
+ "Default 1.762283e+07 \n",
+ "Does not meet the credit policy. Status:Charged... 3.820840e+05 \n",
+ "Does not meet the credit policy. Status:Fully Paid 3.961904e+05 \n",
+ "Fully Paid 8.195764e+06 \n",
+ "In Grace Period 1.669005e+07 \n",
+ "Late (16-30 days) 1.750514e+07 \n",
+ "Late (31-120 days) 1.753228e+07 \n",
+ "\n",
+ " member_id \\\n",
+ "loan_status \n",
+ "Charged Off 1.009728e+07 \n",
+ "Current 1.975706e+07 \n",
+ "Default 1.958943e+07 \n",
+ "Does not meet the credit policy. Status:Charged... 4.486098e+05 \n",
+ "Does not meet the credit policy. Status:Fully Paid 4.679018e+05 \n",
+ "Fully Paid 9.279226e+06 \n",
+ "In Grace Period 1.853324e+07 \n",
+ "Late (16-30 days) 1.937542e+07 \n",
+ "Late (31-120 days) 1.942500e+07 \n",
+ "\n",
+ " loan_amnt \\\n",
+ "loan_status \n",
+ "Charged Off 14518.758682 \n",
+ "Current 15177.366474 \n",
+ "Default 15284.885817 \n",
+ "Does not meet the credit policy. Status:Charged... 9527.233903 \n",
+ "Does not meet the credit policy. Status:Fully Paid 8853.231891 \n",
+ "Fully Paid 13214.394226 \n",
+ "In Grace Period 16128.289892 \n",
+ "Late (16-30 days) 15800.779967 \n",
+ "Late (31-120 days) 15553.757246 \n",
+ "\n",
+ " funded_amnt \\\n",
+ "loan_status \n",
+ "Charged Off 14470.241318 \n",
+ "Current 15172.779584 \n",
+ "Default 15284.885817 \n",
+ "Does not meet the credit policy. Status:Charged... 9248.127464 \n",
+ "Does not meet the credit policy. Status:Fully Paid 8679.376258 \n",
+ "Fully Paid 13169.988064 \n",
+ "In Grace Period 16128.289892 \n",
+ "Late (16-30 days) 15800.779967 \n",
+ "Late (31-120 days) 15549.630435 \n",
+ "\n",
+ " funded_amnt_inv \\\n",
+ "loan_status \n",
+ "Charged Off 14342.342678 \n",
+ "Current 15164.954547 \n",
+ "Default 15279.967293 \n",
+ "Does not meet the credit policy. Status:Charged... 5807.001406 \n",
+ "Does not meet the credit policy. Status:Fully Paid 6411.141563 \n",
+ "Fully Paid 13072.610934 \n",
+ "In Grace Period 16120.110393 \n",
+ "Late (16-30 days) 15793.313843 \n",
+ "Late (31-120 days) 15542.374393 \n",
+ "\n",
+ " int_rate installment \\\n",
+ "loan_status \n",
+ "Charged Off 15.998834 439.992667 \n",
+ "Current 13.773271 447.410438 \n",
+ "Default 16.136394 455.537296 \n",
+ "Does not meet the credit policy. Status:Charged... 14.597148 305.158804 \n",
+ "Does not meet the credit policy. Status:Fully Paid 13.978642 287.069225 \n",
+ "Fully Paid 13.255943 411.086245 \n",
+ "In Grace Period 15.827072 486.777092 \n",
+ "Late (16-30 days) 15.964466 477.734885 \n",
+ "Late (31-120 days) 15.947754 465.948607 \n",
+ "\n",
+ " annual_inc dti \\\n",
+ "loan_status \n",
+ "Charged Off 64750.370887 18.219970 \n",
+ "Current 74703.804790 18.026668 \n",
+ "Default 65611.847500 19.253089 \n",
+ "Does not meet the credit policy. Status:Charged... 69525.915033 14.343732 \n",
+ "Does not meet the credit policy. Status:Fully Paid 72145.418271 14.107173 \n",
+ "Fully Paid 73709.612302 15.937997 \n",
+ "In Grace Period 74033.926462 18.801208 \n",
+ "Late (16-30 days) 72390.530665 18.625952 \n",
+ "Late (31-120 days) 69316.828822 19.090399 \n",
+ "\n",
+ " delinq_2yrs ... \\\n",
+ "loan_status ... \n",
+ "Charged Off 0.271407 ... \n",
+ "Current 0.321604 ... \n",
+ "Default 0.399038 ... \n",
+ "Does not meet the credit policy. Status:Charged... 0.215040 ... \n",
+ "Does not meet the credit policy. Status:Fully Paid 0.248216 ... \n",
+ "Fully Paid 0.236204 ... \n",
+ "In Grace Period 0.415130 ... \n",
+ "Late (16-30 days) 0.444171 ... \n",
+ "Late (31-120 days) 0.380870 ... \n",
+ "\n",
+ " recoveries \\\n",
+ "loan_status \n",
+ "Charged Off 926.523955 \n",
+ "Current 0.000000 \n",
+ "Default 0.000000 \n",
+ "Does not meet the credit policy. Status:Charged... 579.002047 \n",
+ "Does not meet the credit policy. Status:Fully Paid 0.000000 \n",
+ "Fully Paid 0.000000 \n",
+ "In Grace Period 0.000000 \n",
+ "Late (16-30 days) 0.000000 \n",
+ "Late (31-120 days) 0.000000 \n",
+ "\n",
+ " collection_recovery_fee \\\n",
+ "loan_status \n",
+ "Charged Off 96.189387 \n",
+ "Current 0.000000 \n",
+ "Default 0.000000 \n",
+ "Does not meet the credit policy. Status:Charged... 122.187443 \n",
+ "Does not meet the credit policy. Status:Fully Paid 0.000000 \n",
+ "Fully Paid 0.000000 \n",
+ "In Grace Period 0.000000 \n",
+ "Late (16-30 days) 0.000000 \n",
+ "Late (31-120 days) 0.000000 \n",
+ "\n",
+ " last_pymnt_amnt \\\n",
+ "loan_status \n",
+ "Charged Off 454.438219 \n",
+ "Current 457.937174 \n",
+ "Default 477.220733 \n",
+ "Does not meet the credit policy. Status:Charged... 305.497911 \n",
+ "Does not meet the credit policy. Status:Fully Paid 2178.940287 \n",
+ "Fully Paid 7165.937941 \n",
+ "In Grace Period 546.211116 \n",
+ "Late (16-30 days) 534.378596 \n",
+ "Late (31-120 days) 506.048239 \n",
+ "\n",
+ " collections_12_mths_ex_med \\\n",
+ "loan_status \n",
+ "Charged Off 0.006993 \n",
+ "Current 0.012376 \n",
+ "Default 0.008413 \n",
+ "Does not meet the credit policy. Status:Charged... 0.000000 \n",
+ "Does not meet the credit policy. Status:Fully Paid 0.000000 \n",
+ "Fully Paid 0.005469 \n",
+ "In Grace Period 0.013350 \n",
+ "Late (16-30 days) 0.021346 \n",
+ "Late (31-120 days) 0.011304 \n",
+ "\n",
+ " mths_since_last_major_derog \\\n",
+ "loan_status \n",
+ "Charged Off 42.481076 \n",
+ "Current 42.782234 \n",
+ "Default 43.317757 \n",
+ "Does not meet the credit policy. Status:Charged... NaN \n",
+ "Does not meet the credit policy. Status:Fully Paid NaN \n",
+ "Fully Paid 43.037954 \n",
+ "In Grace Period 43.729143 \n",
+ "Late (16-30 days) 42.072193 \n",
+ "Late (31-120 days) 43.028380 \n",
+ "\n",
+ " policy_code \\\n",
+ "loan_status \n",
+ "Charged Off 1.0 \n",
+ "Current 1.0 \n",
+ "Default 1.0 \n",
+ "Does not meet the credit policy. Status:Charged... 1.0 \n",
+ "Does not meet the credit policy. Status:Fully Paid 1.0 \n",
+ "Fully Paid 1.0 \n",
+ "In Grace Period 1.0 \n",
+ "Late (16-30 days) 1.0 \n",
+ "Late (31-120 days) 1.0 \n",
+ "\n",
+ " acc_now_delinq \\\n",
+ "loan_status \n",
+ "Charged Off 0.003602 \n",
+ "Current 0.005191 \n",
+ "Default 0.006010 \n",
+ "Does not meet the credit policy. Status:Charged... 0.000000 \n",
+ "Does not meet the credit policy. Status:Fully Paid 0.002039 \n",
+ "Fully Paid 0.002598 \n",
+ "In Grace Period 0.003179 \n",
+ "Late (16-30 days) 0.004926 \n",
+ "Late (31-120 days) 0.006377 \n",
+ "\n",
+ " tot_coll_amt \\\n",
+ "loan_status \n",
+ "Charged Off 127.370317 \n",
+ "Current 184.464786 \n",
+ "Default 132.382064 \n",
+ "Does not meet the credit policy. Status:Charged... NaN \n",
+ "Does not meet the credit policy. Status:Fully Paid NaN \n",
+ "Fully Paid 219.721618 \n",
+ "In Grace Period 219.261688 \n",
+ "Late (16-30 days) 215.194794 \n",
+ "Late (31-120 days) 196.418793 \n",
+ "\n",
+ " tot_cur_bal \\\n",
+ "loan_status \n",
+ "Charged Off 114522.093018 \n",
+ "Current 140668.380119 \n",
+ "Default 109985.603194 \n",
+ "Does not meet the credit policy. Status:Charged... NaN \n",
+ "Does not meet the credit policy. Status:Fully Paid NaN \n",
+ "Fully Paid 143006.253262 \n",
+ "In Grace Period 130041.024675 \n",
+ "Late (16-30 days) 133734.067170 \n",
+ "Late (31-120 days) 121340.395781 \n",
+ "\n",
+ " total_rev_hi_lim \n",
+ "loan_status \n",
+ "Charged Off 26195.836948 \n",
+ "Current 31438.554947 \n",
+ "Default 27184.632678 \n",
+ "Does not meet the credit policy. Status:Charged... NaN \n",
+ "Does not meet the credit policy. Status:Fully Paid NaN \n",
+ "Fully Paid 29996.098672 \n",
+ "In Grace Period 25975.458766 \n",
+ "Late (16-30 days) 26412.624685 \n",
+ "Late (31-120 days) 26409.483552 \n",
+ "\n",
+ "[9 rows x 34 columns]"
+ ]
+ },
+ "execution_count": 15,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "loan_status=new_df.groupby('loan_status').mean()\n",
+ "loan_status"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "cfadc379",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.9.13"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
From ea5463d4f668ec9ec38d425337655ba237e0bb66 Mon Sep 17 00:00:00 2001
From: ayushhimmatsinghka
<106641708+ayushhimmatsinghka@users.noreply.github.com>
Date: Wed, 13 Jul 2022 00:29:56 +0530
Subject: [PATCH 7/8] Delete 210245_AYUSH_1.ipynb
---
210245_AYUSH_1.ipynb | 2240 ------------------------------------------
1 file changed, 2240 deletions(-)
delete mode 100644 210245_AYUSH_1.ipynb
diff --git a/210245_AYUSH_1.ipynb b/210245_AYUSH_1.ipynb
deleted file mode 100644
index e18a4bc..0000000
--- a/210245_AYUSH_1.ipynb
+++ /dev/null
@@ -1,2240 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "code",
- "execution_count": 1,
- "id": "0605c832",
- "metadata": {},
- "outputs": [],
- "source": [
- "import numpy as np \n",
- "import pandas as pd\n",
- "import matplotlib as mpl\n",
- "import matplotlib.pyplot as plt\n",
- "import sys\n",
- "import seaborn as sns\n",
- "from math import sqrt\n",
- "%matplotlib inline"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "id": "9acae107",
- "metadata": {},
- "outputs": [],
- "source": [
- "df = pd.read_csv('Dataset.csv')"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "fc052a38",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Columns names:-\n",
- "['CUST_ID', 'BALANCE', 'BALANCE_FREQUENCY', 'PURCHASES', 'ONEOFF_PURCHASES', 'INSTALLMENTS_PURCHASES', 'CASH_ADVANCE', 'PURCHASES_FREQUENCY', 'ONEOFF_PURCHASES_FREQUENCY', 'PURCHASES_INSTALLMENTS_FREQUENCY', 'CASH_ADVANCE_FREQUENCY', 'CASH_ADVANCE_TRX', 'PURCHASES_TRX', 'CREDIT_LIMIT', 'PAYMENTS', 'MINIMUM_PAYMENTS', 'PRC_FULL_PAYMENT', 'TENURE']\n"
- ]
- }
- ],
- "source": [
- "columns_names=df.columns.tolist()\n",
- "print(\"Columns names:-\")\n",
- "print(columns_names)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "id": "44dfdd5e",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(8950, 18)"
- ]
- },
- "execution_count": 4,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "df.shape"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "id": "48026d16",
- "metadata": {},
- "outputs": [],
- "source": [
- "df.drop('CUST_ID', axis=1,inplace=True)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "id": "7d8489ae",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/html": [
- "\n",
- "\n",
- "
\n",
- " \n",
- " \n",
- " | \n",
- " BALANCE | \n",
- " BALANCE_FREQUENCY | \n",
- " PURCHASES | \n",
- " ONEOFF_PURCHASES | \n",
- " INSTALLMENTS_PURCHASES | \n",
- " CASH_ADVANCE | \n",
- " PURCHASES_FREQUENCY | \n",
- " ONEOFF_PURCHASES_FREQUENCY | \n",
- " PURCHASES_INSTALLMENTS_FREQUENCY | \n",
- " CASH_ADVANCE_FREQUENCY | \n",
- " CASH_ADVANCE_TRX | \n",
- " PURCHASES_TRX | \n",
- " CREDIT_LIMIT | \n",
- " PAYMENTS | \n",
- " MINIMUM_PAYMENTS | \n",
- " PRC_FULL_PAYMENT | \n",
- " TENURE | \n",
- "
\n",
- " \n",
- " \n",
- " \n",
- " | 0 | \n",
- " 40.900749 | \n",
- " 0.818182 | \n",
- " 95.40 | \n",
- " 0.00 | \n",
- " 95.4 | \n",
- " 0.000000 | \n",
- " 0.166667 | \n",
- " 0.000000 | \n",
- " 0.083333 | \n",
- " 0.000000 | \n",
- " 0 | \n",
- " 2 | \n",
- " 1000.0 | \n",
- " 201.802084 | \n",
- " 139.509787 | \n",
- " 0.000000 | \n",
- " 12 | \n",
- "
\n",
- " \n",
- " | 1 | \n",
- " 3202.467416 | \n",
- " 0.909091 | \n",
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- " 4 | \n",
- " 0 | \n",
- " 7000.0 | \n",
- " 4103.032597 | \n",
- " 1072.340217 | \n",
- " 0.222222 | \n",
- " 12 | \n",
- "
\n",
- " \n",
- " | 2 | \n",
- " 2495.148862 | \n",
- " 1.000000 | \n",
- " 773.17 | \n",
- " 773.17 | \n",
- " 0.0 | \n",
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- " 0.000000 | \n",
- " 0 | \n",
- " 12 | \n",
- " 7500.0 | \n",
- " 622.066742 | \n",
- " 627.284787 | \n",
- " 0.000000 | \n",
- " 12 | \n",
- "
\n",
- " \n",
- " | 3 | \n",
- " 1666.670542 | \n",
- " 0.636364 | \n",
- " 1499.00 | \n",
- " 1499.00 | \n",
- " 0.0 | \n",
- " 205.788017 | \n",
- " 0.083333 | \n",
- " 0.083333 | \n",
- " 0.000000 | \n",
- " 0.083333 | \n",
- " 1 | \n",
- " 1 | \n",
- " 7500.0 | \n",
- " 0.000000 | \n",
- " NaN | \n",
- " 0.000000 | \n",
- " 12 | \n",
- "
\n",
- " \n",
- " | 4 | \n",
- " 817.714335 | \n",
- " 1.000000 | \n",
- " 16.00 | \n",
- " 16.00 | \n",
- " 0.0 | \n",
- " 0.000000 | \n",
- " 0.083333 | \n",
- " 0.083333 | \n",
- " 0.000000 | \n",
- " 0.000000 | \n",
- " 0 | \n",
- " 1 | \n",
- " 1200.0 | \n",
- " 678.334763 | \n",
- " 244.791237 | \n",
- " 0.000000 | \n",
- " 12 | \n",
- "
\n",
- " \n",
- "
\n",
- "
"
- ],
- "text/plain": [
- " BALANCE BALANCE_FREQUENCY PURCHASES ONEOFF_PURCHASES \\\n",
- "0 40.900749 0.818182 95.40 0.00 \n",
- "1 3202.467416 0.909091 0.00 0.00 \n",
- "2 2495.148862 1.000000 773.17 773.17 \n",
- "3 1666.670542 0.636364 1499.00 1499.00 \n",
- "4 817.714335 1.000000 16.00 16.00 \n",
- "\n",
- " INSTALLMENTS_PURCHASES CASH_ADVANCE PURCHASES_FREQUENCY \\\n",
- "0 95.4 0.000000 0.166667 \n",
- "1 0.0 6442.945483 0.000000 \n",
- "2 0.0 0.000000 1.000000 \n",
- "3 0.0 205.788017 0.083333 \n",
- "4 0.0 0.000000 0.083333 \n",
- "\n",
- " ONEOFF_PURCHASES_FREQUENCY PURCHASES_INSTALLMENTS_FREQUENCY \\\n",
- "0 0.000000 0.083333 \n",
- "1 0.000000 0.000000 \n",
- "2 1.000000 0.000000 \n",
- "3 0.083333 0.000000 \n",
- "4 0.083333 0.000000 \n",
- "\n",
- " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX PURCHASES_TRX CREDIT_LIMIT \\\n",
- "0 0.000000 0 2 1000.0 \n",
- "1 0.250000 4 0 7000.0 \n",
- "2 0.000000 0 12 7500.0 \n",
- "3 0.083333 1 1 7500.0 \n",
- "4 0.000000 0 1 1200.0 \n",
- "\n",
- " PAYMENTS MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n",
- "0 201.802084 139.509787 0.000000 12 \n",
- "1 4103.032597 1072.340217 0.222222 12 \n",
- "2 622.066742 627.284787 0.000000 12 \n",
- "3 0.000000 NaN 0.000000 12 \n",
- "4 678.334763 244.791237 0.000000 12 "
- ]
- },
- "execution_count": 6,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "df.head()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "id": "c4fc0638",
- "metadata": {},
- "outputs": [],
- "source": [
- "x = df[\"MINIMUM_PAYMENTS\"].mean()\n",
- "\n",
- "df[\"MINIMUM_PAYMENTS\"].fillna(x, inplace = True)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "id": "c51c814b",
- "metadata": {},
- "outputs": [],
- "source": [
- "x = df[\"CREDIT_LIMIT\"].mean()\n",
- "\n",
- "df[\"CREDIT_LIMIT\"].fillna(x, inplace = True)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 9,
- "id": "e05fc0c7",
- "metadata": {},
- "outputs": [
- {
- "data": {
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\n",
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\n",
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\n",
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\n",
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- "needs_background": "light"
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- "output_type": "display_data"
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\n",
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FHBg8e3HQytW7tQ8PRpjlB+7qjnLQQUmLjd1Qc2S/Ax+/60xiuLtpMBgh7H57rdcxJC0mnlnMoeEzicl3SQ26qpZPuo7xnlf+t11nGZ5xSBpXnlnMseEziWFT3Wq7/KBDph3m3DMPSePEsJhHk7uqBmcb+x90CPsfdMhuATExMcELz/1btm7dutsQIjt37jREJM07w2KeDbqqfm3TtTz80Nd3nW1UFV/60pd2BcTExARJdj2rMei2uvPOO73uIWneLZqwSHJSktuSbElyzkLX81gMd1UNHuwb3FG1Y+fOXWGyfccOlh34+F1hMbjesV9r27p1Ky8892+54447eOCBBx4VHNOFiSEjaU8tigvcSZYBbweeDdwFXJfk8qr63MJWNrcGwbH84EPZ+Z1lbP/mtinfBT7ctmPnTl7y1r/n4JWredyyZbz1tGM57LDDSMK2bdv41b/4KO848ydZsWIF8MiF9l9718f4379yPIcddtiu0BhcXJ/NfBJWrlxJkt3CJwlJOOyww9i2bdtuF+0H3WuDtuF56C76D7YDL/hL42RRhAVwHLClqr4IkORi4BRgJGHx3W8/xI6dO/jut77R3dn08ENd+6T5qdpGsc3g1a0PT9zHy96xleUHHczB+x8EsNt+tz/8EL/0J5cAcPDKVez8t4fZsXMHv/Qnl+yaf/ihbwCw/KCDeen51+zWNnmdmeaXH3gw7375z7NixQomJiY4/dxL2bFjBwevXMWyZcv441PX8cq/+ifedfbJu4XBmW+7Ylfb8DzAmW+7gje9+Jn8zqU3AOwWcpJmZ+XKlSPZbxZDV0SSU4GTqupX2vyLgadX1dlD62wENrbZHwBuewxfeQTw1cew/XxZLHXC4ql1sdQJi6fWxVInLJ5aR1Xn91XVqqkWLJYzi15VdT5w/lzsK8nmqlo/F/sapcVSJyyeWhdLnbB4al0sdcLiqXUh6lwsF7jvBo4emn9Ca5MkzYPFEhbXAWuTHJNkf2ADcPkC1yRJ+4xF0Q1VVduTnA1cCSwDNlXVLSP8yjnpzpoHi6VOWDy1LpY6YfHUuljqhMVT67zXuSgucEuSFtZi6YaSJC0gw0KS1MuwGDLuQ4ok2ZrkpiQ3JNnc2g5PclWS29vP0TyRM3Ndm5Lcl+TmobYp60rnLe0Y35jk2DGo9XVJ7m7H9YYkJw8te3Wr9bYkJ85jnUcn+UiSzyW5JcnLW/tYHdcZ6hzHY3pgkk8n+Wyr9fdb+zFJPtVqem+7iYYkB7T5LW35mjGo9d1J7hg6ruta++h//wcjmu7rH7oL5/8KPAnYH/gs8JSFrmtSjVuBIya1/QlwTps+B/jjBajrJ4BjgZv76gJOBv4RCPAM4FNjUOvrgN+eYt2ntD8HBwDHtD8fy+apziOBY9v0ocAXWj1jdVxnqHMcj2mAQ9r0cuBT7VhdAmxo7e8Afr1Nvwx4R5veALx3Hv+cTlfru4FTp1h/5L//nlk8YteQIlX1b8BgSJFxdwpwQZu+AHjefBdQVdcCD0xqnq6uU4ALq/NJYEWSI+elUKatdTqnABdX1Xeq6g5gC92fk5Grqnuq6jNt+hvArcBRjNlxnaHO6SzkMa2q+mabXd4+Bfw0cGlrn3xMB8f6UuCEZH4GK5uh1umM/PffsHjEUcCXh+bvYuY/9AuhgA8lub4NbwKwuqruadNfAVZPvem8m66ucT3OZ7fT901DXXljUWvr/vgRuv9dju1xnVQnjOExTbIsyQ3AfcBVdGc2E1W1fYp6dtXalm8D/v1C1VpVg+P6+nZc35zkgMm1NnN+XA2LxeVZVXUs8FzgrCQ/MbywuvPRsbsXelzrGnIe8GRgHXAP8MYFrWZIkkOA9wGvqKqvDy8bp+M6RZ1jeUyrakdVraMbBeI44D8tbEXTm1xrkqcBr6ar+UeBw4Hfma96DItHjP2QIlV1d/t5H/ABuj/s9w5ON9vP+xauwt1MV9fYHeequrf9xdwJvJNHukUWtNYky+n+Ab6oqt7fmsfuuE5V57ge04GqmgA+AvwYXZfN4AHl4Xp21dqWHwZ8bX4r3a3Wk1q3X1XVd4C/ZB6Pq2HxiLEeUiTJ45McOpgGngPcTFfjGW21M4DLFqbCR5mursuB09vdG88Atg11qyyISX27z6c7rtDVuqHdFXMMsBb49DzVFOBdwK1V9aahRWN1XKerc0yP6aokK9r0QXTvx7mV7h/iU9tqk4/p4FifClzTzuYWqtbPD/1HIXTXVoaP62h//+f6ivli/tDdUfAFun7M1yx0PZNqexLdXSSfBW4Z1EfXh3o1cDvwYeDwBajtPXRdDd+l6ys9c7q66O7WeHs7xjcB68eg1r9qtdzY/tIdObT+a1qttwHPncc6n0XXxXQjcEP7nDxux3WGOsfxmP5n4F9aTTcDv9fan0QXWFuAvwEOaO0HtvktbfmTxqDWa9pxvRn4Pzxyx9TIf/8d7kOS1MtuKElSL8NCktTLsJAk9TIsJEm9DAtJUi/DQpLUy7DQkpJkRxu6+eYkf5Pk4CRrMjQkeVvvdUl+u00PD/v82SQnDK13XJJr0w2n/S9J/qLt85eTvG3SPj+aZP3Q/LokleSkSeu9pg07fWP7zqcPbX/b0PDTl7b2H2jLbkhya5IpX6mZ5MShbb85tK8LkxyfZFub/3ySc4e2e2WSTUPzL0ryD3tz/LV0LYp3cEt74NvVjadDkouAXwPeP+MWnVdV1aVJforu/cZrk6ymeyhrQ1X9c9vnqXRDcc/GacAn2s8Ptu1/DPg5umG9v5PkCLoh8QdeVFWbJ+3nLcCbq+qyto8fmurLqupKuvfUk+SjdEOED957cjzw8ar6ufZE8L8k+UBV/VPb/+Ykz6R74POPgBMe/Q3alxkWWso+Tvck7J74Zx4ZrfMs4IJBUABU1eB/+zPupA3H8It0wzR8PMmBVfUw3fsfvlrd2D5U1VdnUdORdE+bD2q4ada/milU1bfTjWZ6VJvfnuRlwJ/TPam8qaq++Fi+Q0uP3VBaktrAb8+lG/pgT5wE/G2bfhpw/QzrvnCo2+cGYP3Qsh8H7qiqfwU+Cvxsa/8QcHSSLyT58yQ/OWmfFw3t809b25uBa5L8Y5LfHIwZtLfSDRe+Frh20FZV/5dunKSfoXvBkrQbw0JLzUHtH+7NwJfoBrmbbkyb4fY/TfIF4K+BP57ld723qtYNPu07B06je4EW7edpANW90Oa/ABuB+4H3Jvnloe1eNLTPV7Vt/hL4QbouseOBT+aR9xjsif+a5LN0o5FeWVVfGSxIN8T4erqX7Kzai31riTMstNR8e+gf29+o7q2HXwMmv5v8cGC4C+hVVfX9dO8HGFzsvYXuH/Y9kmQZ8N+B30uyFXgrcFLaqMHVDd390ap6LXB2W3dGVfX/qmpTVZ0CbKc769lTH6+qHwaeCpyZ9v7m5vfpBqZ7Pd2ZjLQbw0JLXvvf/D1JfhogyeF03U2fmGL1twGPS3Jimz5jcLdS2/YX2oXvmZwA3FhVR1fVmqr6Prr3PTy/3dm0dmjddcCdM+0syUnp3hlBkv9AN/LsXr+roLrXmb6B9uKcdsH8Z+nOqM4H1iR59t7uX0uTF7i1rzgdeHuSwTsXfr9dT9hNVVWSPwL+Z1WdkGQDcG6S7wF20vXzf7Dnu06jeznVsPcBv053tvLWdt1hO93w1xuH1rsoybfb9Fer6mfo3l3yv5I83NpfNdyFtJfeAfx2undKnAf8ZrsAT5JfBy5Msq6dmUkOUS5J6mc3lCSpl91Q0iLUrqlMvmvrjqp6/kLUo6XPbihJUi+7oSRJvQwLSVIvw0KS1MuwkCT1+v94sMQJRxYqkQAAAABJRU5ErkJggg==\n",
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\n",
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\n",
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\n",
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- "data": {
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "for col in df:\n",
- " plt.figure()\n",
- " sns.histplot(df[col])\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 10,
- "id": "a252bb07",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "BALANCE 2.393386\n",
- "BALANCE_FREQUENCY -2.023266\n",
- "PURCHASES 8.144269\n",
- "ONEOFF_PURCHASES 10.045083\n",
- "INSTALLMENTS_PURCHASES 7.299120\n",
- "CASH_ADVANCE 5.166609\n",
- "PURCHASES_FREQUENCY 0.060164\n",
- "ONEOFF_PURCHASES_FREQUENCY 1.535613\n",
- "PURCHASES_INSTALLMENTS_FREQUENCY 0.509201\n",
- "CASH_ADVANCE_FREQUENCY 1.828686\n",
- "CASH_ADVANCE_TRX 5.721298\n",
- "PURCHASES_TRX 4.630655\n",
- "CREDIT_LIMIT 1.522549\n",
- "PAYMENTS 5.907620\n",
- "MINIMUM_PAYMENTS 13.867357\n",
- "PRC_FULL_PAYMENT 1.942820\n",
- "TENURE -2.943017\n",
- "dtype: float64"
- ]
- },
- "execution_count": 10,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "df.skew()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 11,
- "id": "0e85f23e",
- "metadata": {},
- "outputs": [],
- "source": [
- "for col in df:\n",
- " df[col]=np.sqrt(df[col])"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 12,
- "id": "7331381d",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "BALANCE 0.829498\n",
- "BALANCE_FREQUENCY -2.819495\n",
- "PURCHASES 1.730752\n",
- "ONEOFF_PURCHASES 2.129460\n",
- "INSTALLMENTS_PURCHASES 1.546939\n",
- "CASH_ADVANCE 1.486159\n",
- "PURCHASES_FREQUENCY -0.421872\n",
- "ONEOFF_PURCHASES_FREQUENCY 0.724607\n",
- "PURCHASES_INSTALLMENTS_FREQUENCY 0.130409\n",
- "CASH_ADVANCE_FREQUENCY 0.706976\n",
- "CASH_ADVANCE_TRX 1.417779\n",
- "PURCHASES_TRX 1.185757\n",
- "CREDIT_LIMIT 0.680933\n",
- "PAYMENTS 1.951535\n",
- "MINIMUM_PAYMENTS 3.805340\n",
- "PRC_FULL_PAYMENT 1.297280\n",
- "TENURE -3.064332\n",
- "dtype: float64"
- ]
- },
- "execution_count": 12,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "df.skew()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 13,
- "id": "c67024fe",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
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\n",
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\n",
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\n",
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\n",
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- "output_type": "display_data"
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\n",
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\n",
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\n",
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\n",
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\n",
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iqv43kFlWnzjD+ALOnWVfm4BN46tOkvRE+A1uSVInw0KS1MmwkCR1MiwkSZ0MC0lSJ8NCktTJsJAkdTIsJEmdDAtJUifDQpLUybCQJHUyLCRJnQwLSVInw0KS1MmwkCR1MiwkSZ0MC0lSJ8NCktSpt7BIsinJ/Um+NdR3aJKtSe5s70tbf5J8OMn2JLckOWZom/Vt/J1J1vdVryRpdn0eWXwSWLtX33nA1VW1Bri6LQOcAqxprw3ARTAIF+B84DjgWOD86YCRJE1Ob2FRVX8H7Nmrex2wubU3A6cN9V9SA9cDS5IcDpwMbK2qPVX1ILCVxweQJKlnk75msbyq7mnte4Hlrb0C2DE0bmfrm63/cZJsSLItybbdu3ePt2pJWuTm7AJ3VRVQY9zfxqqaqqqpZcuWjWu3kiQmHxb3tdNLtPf7W/8uYNXQuJWtb7Z+SdIETTostgDTdzStB64Y6j+r3RV1PPBQO111FXBSkqXtwvZJrU+SNEEH9rXjJJ8BXgMclmQng7ua3gtcnuQc4G7gjDb8SuBUYDvwCHA2QFXtSXIhcGMbd0FV7X3RXJLUs97CoqreNMuqE2cYW8C5s+xnE7BpjKVJkp4gv8EtSepkWEiSOhkWkqROhoUkqZNhIUnqZFhIkjoZFpKkToaFJKmTYSFJ6mRYSJI6GRaSpE6GhSSpk2Ehab+1YtURJBnba8WqI+Z6SnOmt6fOStJc+8HOHbzx418d2/4ue8srx7avhcYjC0lSJ8NC0pMy7lM8i/00z3znaagZrFh1BD/YuWNs+/vVlavYteP7Y9vfYuTfZP4Z9ykeWNyneeY7w2IG8/0852L8h3O+/036sBj/zpq/DIsFaDH+w7kY+XfWfLJgrlkkWZvkO0m2JzlvruuRpMVkQYRFkgOA/wqcAhwFvCnJUXNblSQtHgsiLIBjge1VdVdV/Ry4FFg3xzVJ0qKRqprrGjolOR1YW1W/15bfDBxXVX8wNGYDsKEtvgh4APjhpGudQ4fhfPdnznf/Nl/m+4KqWjbTiv3mAndVbQQ2Ti8n2VZVU3NY0kQ53/2b892/LYT5LpTTULuAVUPLK1ufJGkCFkpY3AisSXJkkoOAM4Etc1yTJC0aC+I0VFU9muQPgKuAA4BNVXVbx2YbO9bvb5zv/s357t/m/XwXxAVuSdLcWiinoSRJc8iwkCR1WtBhkWRVkmuT3J7ktiRv38fYlyd5tH1nY8EZda5JXpPk5jbmK5Ouc5xGmXOS5yb5YpK/b2POnotaxyHJM5N8fWgufzHDmGckuaw99uaGJKvnoNSnbMS5/mH729+S5OokL5iLWsdllDkPjf23SSrJ/LmdtqoW7As4HDimtQ8B/g9w1AzjDgCuAa4ETp/ruvuaK7AEuB04oi0/f67rnsCc/xR4X2svA/YAB8117U9yvgGe3dpPB24Ajt9rzFuBj7X2mcBlc113j3M9AfiV1v6PC3WuT2TObd0hwN8B1wNTc1339GtBH1lU1T1V9Y3W/kfgDmDFDEPfBvw1cP8EyxurEef674DPV9X327gFO18Yec4FHJIkwLMZhMWjEy10TGrg4bb49Pba+w6UdcDm1v4ccGKb+4Iyylyr6tqqeqQtXs/g+1UL1oh/X4ALgfcBP51UbaNY0GExrB2Ov4xBWg/3rwB+B7hoDsrqxWxzBX4NWJrkuiQ3JTlr4sX1ZB9z/gjw68APgFuBt1fVP022uvFJckCSmxn8x2ZrVe093xXADhjcUg48BDxvokWOyQhzHXYO8D8mUliPuuac5BhgVVX97VzUty/7RVgkeTaDI4d3VNWP91r9IeCdC/kfkGEdcz0Q+E3gt4GTgT9P8msTLnHsOuZ8MnAz8KvA0cBHkjxnogWOUVX9oqqOZvC/6GOTvGSOS+rNqHNN8u+BKeD9EyyvF/uac5KnAR8A/miOytunBR8WSZ7O4B+ST1fV52cYMgVcmuR7wOnAR5OcNrkKx2eEue4Erqqqn1TVDxmc93zpJGsctxHmfDaDU29VVduB7wIvnmSNfaiqHwHXAmv3WvX/H32T5EDguQwemrlg7WOuJPkt4M+A11fVzyZcWm9mmfMhwEuA69q/V8cDW+bLRe4FHRbtXO3FwB1V9YGZxlTVkVW1uqpWMzjH+9aq+pvJVTkeo8wVuAJ4dZIDk/wKcByD8/wL0ohz/j5wYhu/nMETh++aTIXjlWRZkiWtfTDwOuDbew3bAqxv7dOBa6pdFV1IRplrkpcBH2cQFAv6+ht0z7mqHqqqw4b+vbqewdy3zUW9e1sQj/vYh1cBbwZubecBYXB3zBEAVfWxOaqrD51zrao7knwZuAX4J+ATVfWtuSh2TEb5+14IfDLJrQzuNnlnO6paiA4HNmfwY19PAy6vqi8luQDYVlVbGITnp5JsZ3Ax/8y5K/cpGWWu72dw08Jn2zX871fV6+es4qdulDnPWz7uQ5LUaUGfhpIkTYZhIUnqZFhIkjoZFpKkToaFJKmTYSF1SPK89iTfm5Pcm2TX0HINtW9Ocl7b5rok24b2MZXkutb+D0k+stdnXDf95ask30tya3va6leGn7aa5BczfZ7Ut4X+PQupd1X1AINHiZDkPwMPV9VftuWH2+MbZvL8JKdU1ZN5ptEJVfXD9hjr/wT8fuv/v/v4PKk3HllI/Xk/g0dVPBVfY+YnKUsTZVhIT83Be50WeuPQuq8BP09ywlPY/1rgb0b8PKk3noaSnpqu00LvZnAa6Z1DfbM9NmG4/9okhwIPA3/+BD5P6oVHFlKPquoa4GAGTxCd9gCwdK+hhwLDz7Q6AXgBg8evz/rzm9KkGBZS/94N/MnQ8o3Aq5L8MxjcKQU8g/ajRtPajxu9AzirHWVIc8bTUNJTc/DQE3EBvlxVv3Q7a1VdmWT30PJ9Sd4OXNl+8OZh4E0z/UBXVd2T5DPAuQyesNv5eVIffOqsJKmTp6EkSZ0MC0lSJ8NCktTJsJAkdTIsJEmdDAtJUifDQpLU6f8B+4A7HUuZwRgAAAAASUVORK5CYII=\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "for col in df:\n",
- " plt.figure()\n",
- " sns.histplot(df[col])"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 14,
- "id": "b098b8d8",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/html": [
- "\n",
- "\n",
- "
\n",
- " \n",
- " \n",
- " | \n",
- " BALANCE | \n",
- " BALANCE_FREQUENCY | \n",
- " PURCHASES | \n",
- " ONEOFF_PURCHASES | \n",
- " INSTALLMENTS_PURCHASES | \n",
- " CASH_ADVANCE | \n",
- " PURCHASES_FREQUENCY | \n",
- " ONEOFF_PURCHASES_FREQUENCY | \n",
- " PURCHASES_INSTALLMENTS_FREQUENCY | \n",
- " CASH_ADVANCE_FREQUENCY | \n",
- " CASH_ADVANCE_TRX | \n",
- " PURCHASES_TRX | \n",
- " CREDIT_LIMIT | \n",
- " PAYMENTS | \n",
- " MINIMUM_PAYMENTS | \n",
- " PRC_FULL_PAYMENT | \n",
- " TENURE | \n",
- "
\n",
- " \n",
- " \n",
- " \n",
- " | BALANCE | \n",
- " 1.000000 | \n",
- " 0.439550 | \n",
- " 0.102217 | \n",
- " 0.172933 | \n",
- " 0.013676 | \n",
- " 0.575879 | \n",
- " -0.153306 | \n",
- " 0.102318 | \n",
- " -0.128057 | \n",
- " 0.531558 | \n",
- " 0.525505 | \n",
- " 0.042819 | \n",
- " 0.456740 | \n",
- " 0.403422 | \n",
- " 0.663993 | \n",
- " -0.453893 | \n",
- " 0.079000 | \n",
- "
\n",
- " \n",
- " | BALANCE_FREQUENCY | \n",
- " 0.439550 | \n",
- " 1.000000 | \n",
- " 0.166903 | \n",
- " 0.147846 | \n",
- " 0.142073 | \n",
- " 0.138545 | \n",
- " 0.154265 | \n",
- " 0.181196 | \n",
- " 0.123737 | \n",
- " 0.192852 | \n",
- " 0.180504 | \n",
- " 0.194752 | \n",
- " 0.093166 | \n",
- " 0.171135 | \n",
- " 0.192395 | \n",
- " -0.056715 | \n",
- " 0.093694 | \n",
- "
\n",
- " \n",
- " | PURCHASES | \n",
- " 0.102217 | \n",
- " 0.166903 | \n",
- " 1.000000 | \n",
- " 0.852625 | \n",
- " 0.728559 | \n",
- " -0.236233 | \n",
- " 0.687428 | \n",
- " 0.672055 | \n",
- " 0.527451 | \n",
- " -0.300179 | \n",
- " -0.254318 | \n",
- " 0.843175 | \n",
- " 0.341895 | \n",
- " 0.496092 | \n",
- " 0.079384 | \n",
- " 0.245880 | \n",
- " 0.116914 | \n",
- "
\n",
- " \n",
- " | ONEOFF_PURCHASES | \n",
- " 0.172933 | \n",
- " 0.147846 | \n",
- " 0.852625 | \n",
- " 1.000000 | \n",
- " 0.306789 | \n",
- " -0.123410 | \n",
- " 0.422181 | \n",
- " 0.824324 | \n",
- " 0.154497 | \n",
- " -0.156438 | \n",
- " -0.129146 | \n",
- " 0.637828 | \n",
- " 0.352743 | \n",
- " 0.471265 | \n",
- " 0.051873 | \n",
- " 0.113810 | \n",
- " 0.090035 | \n",
- "
\n",
- " \n",
- " | INSTALLMENTS_PURCHASES | \n",
- " 0.013676 | \n",
- " 0.142073 | \n",
- " 0.728559 | \n",
- " 0.306789 | \n",
- " 1.000000 | \n",
- " -0.230397 | \n",
- " 0.683154 | \n",
- " 0.231340 | \n",
- " 0.815592 | \n",
- " -0.292878 | \n",
- " -0.247026 | \n",
- " 0.757427 | \n",
- " 0.205210 | \n",
- " 0.330005 | \n",
- " 0.078573 | \n",
- " 0.269962 | \n",
- " 0.108182 | \n",
- "
\n",
- " \n",
- " | CASH_ADVANCE | \n",
- " 0.575879 | \n",
- " 0.138545 | \n",
- " -0.236233 | \n",
- " -0.123410 | \n",
- " -0.230397 | \n",
- " 1.000000 | \n",
- " -0.392948 | \n",
- " -0.152434 | \n",
- " -0.309058 | \n",
- " 0.834290 | \n",
- " 0.848970 | \n",
- " -0.273181 | \n",
- " 0.261001 | \n",
- " 0.368825 | \n",
- " 0.325816 | \n",
- " -0.233943 | \n",
- " -0.096013 | \n",
- "
\n",
- " \n",
- " | PURCHASES_FREQUENCY | \n",
- " -0.153306 | \n",
- " 0.154265 | \n",
- " 0.687428 | \n",
- " 0.422181 | \n",
- " 0.683154 | \n",
- " -0.392948 | \n",
- " 1.000000 | \n",
- " 0.508031 | \n",
- " 0.831387 | \n",
- " -0.457631 | \n",
- " -0.397722 | \n",
- " 0.820786 | \n",
- " 0.110645 | \n",
- " 0.122729 | \n",
- " -0.053435 | \n",
- " 0.308474 | \n",
- " 0.066970 | \n",
- "
\n",
- " \n",
- " | ONEOFF_PURCHASES_FREQUENCY | \n",
- " 0.102318 | \n",
- " 0.181196 | \n",
- " 0.672055 | \n",
- " 0.824324 | \n",
- " 0.231340 | \n",
- " -0.152434 | \n",
- " 0.508031 | \n",
- " 1.000000 | \n",
- " 0.130807 | \n",
- " -0.164373 | \n",
- " -0.137542 | \n",
- " 0.627696 | \n",
- " 0.296455 | \n",
- " 0.300928 | \n",
- " -0.009630 | \n",
- " 0.099064 | \n",
- " 0.083856 | \n",
- "
\n",
- " \n",
- " | PURCHASES_INSTALLMENTS_FREQUENCY | \n",
- " -0.128057 | \n",
- " 0.123737 | \n",
- " 0.527451 | \n",
- " 0.154497 | \n",
- " 0.815592 | \n",
- " -0.309058 | \n",
- " 0.831387 | \n",
- " 0.130807 | \n",
- " 1.000000 | \n",
- " -0.366260 | \n",
- " -0.315583 | \n",
- " 0.715472 | \n",
- " 0.058378 | \n",
- " 0.102431 | \n",
- " -0.018277 | \n",
- " 0.275739 | \n",
- " 0.073884 | \n",
- "
\n",
- " \n",
- " | CASH_ADVANCE_FREQUENCY | \n",
- " 0.531558 | \n",
- " 0.192852 | \n",
- " -0.300179 | \n",
- " -0.156438 | \n",
- " -0.292878 | \n",
- " 0.834290 | \n",
- " -0.457631 | \n",
- " -0.164373 | \n",
- " -0.366260 | \n",
- " 1.000000 | \n",
- " 0.939703 | \n",
- " -0.325492 | \n",
- " 0.100658 | \n",
- " 0.205875 | \n",
- " 0.278039 | \n",
- " -0.305366 | \n",
- " -0.124117 | \n",
- "
\n",
- " \n",
- " | CASH_ADVANCE_TRX | \n",
- " 0.525505 | \n",
- " 0.180504 | \n",
- " -0.254318 | \n",
- " -0.129146 | \n",
- " -0.247026 | \n",
- " 0.848970 | \n",
- " -0.397722 | \n",
- " -0.137542 | \n",
- " -0.315583 | \n",
- " 0.939703 | \n",
- " 1.000000 | \n",
- " -0.273108 | \n",
- " 0.133933 | \n",
- " 0.256674 | \n",
- " 0.302627 | \n",
- " -0.266926 | \n",
- " -0.072471 | \n",
- "
\n",
- " \n",
- " | PURCHASES_TRX | \n",
- " 0.042819 | \n",
- " 0.194752 | \n",
- " 0.843175 | \n",
- " 0.637828 | \n",
- " 0.757427 | \n",
- " -0.273181 | \n",
- " 0.820786 | \n",
- " 0.627696 | \n",
- " 0.715472 | \n",
- " -0.325492 | \n",
- " -0.273108 | \n",
- " 1.000000 | \n",
- " 0.250522 | \n",
- " 0.341845 | \n",
- " 0.062609 | \n",
- " 0.240429 | \n",
- " 0.145224 | \n",
- "
\n",
- " \n",
- " | CREDIT_LIMIT | \n",
- " 0.456740 | \n",
- " 0.093166 | \n",
- " 0.341895 | \n",
- " 0.352743 | \n",
- " 0.205210 | \n",
- " 0.261001 | \n",
- " 0.110645 | \n",
- " 0.296455 | \n",
- " 0.058378 | \n",
- " 0.100658 | \n",
- " 0.133933 | \n",
- " 0.250522 | \n",
- " 1.000000 | \n",
- " 0.461019 | \n",
- " 0.228766 | \n",
- " 0.039825 | \n",
- " 0.158845 | \n",
- "
\n",
- " \n",
- " | PAYMENTS | \n",
- " 0.403422 | \n",
- " 0.171135 | \n",
- " 0.496092 | \n",
- " 0.471265 | \n",
- " 0.330005 | \n",
- " 0.368825 | \n",
- " 0.122729 | \n",
- " 0.300928 | \n",
- " 0.102431 | \n",
- " 0.205875 | \n",
- " 0.256674 | \n",
- " 0.341845 | \n",
- " 0.461019 | \n",
- " 1.000000 | \n",
- " 0.241452 | \n",
- " 0.175619 | \n",
- " 0.174052 | \n",
- "
\n",
- " \n",
- " | MINIMUM_PAYMENTS | \n",
- " 0.663993 | \n",
- " 0.192395 | \n",
- " 0.079384 | \n",
- " 0.051873 | \n",
- " 0.078573 | \n",
- " 0.325816 | \n",
- " -0.053435 | \n",
- " -0.009630 | \n",
- " -0.018277 | \n",
- " 0.278039 | \n",
- " 0.302627 | \n",
- " 0.062609 | \n",
- " 0.228766 | \n",
- " 0.241452 | \n",
- " 1.000000 | \n",
- " -0.319688 | \n",
- " 0.103005 | \n",
- "
\n",
- " \n",
- " | PRC_FULL_PAYMENT | \n",
- " -0.453893 | \n",
- " -0.056715 | \n",
- " 0.245880 | \n",
- " 0.113810 | \n",
- " 0.269962 | \n",
- " -0.233943 | \n",
- " 0.308474 | \n",
- " 0.099064 | \n",
- " 0.275739 | \n",
- " -0.305366 | \n",
- " -0.266926 | \n",
- " 0.240429 | \n",
- " 0.039825 | \n",
- " 0.175619 | \n",
- " -0.319688 | \n",
- " 1.000000 | \n",
- " -0.001969 | \n",
- "
\n",
- " \n",
- " | TENURE | \n",
- " 0.079000 | \n",
- " 0.093694 | \n",
- " 0.116914 | \n",
- " 0.090035 | \n",
- " 0.108182 | \n",
- " -0.096013 | \n",
- " 0.066970 | \n",
- " 0.083856 | \n",
- " 0.073884 | \n",
- " -0.124117 | \n",
- " -0.072471 | \n",
- " 0.145224 | \n",
- " 0.158845 | \n",
- " 0.174052 | \n",
- " 0.103005 | \n",
- " -0.001969 | \n",
- " 1.000000 | \n",
- "
\n",
- " \n",
- "
\n",
- "
"
- ],
- "text/plain": [
- " BALANCE BALANCE_FREQUENCY PURCHASES \\\n",
- "BALANCE 1.000000 0.439550 0.102217 \n",
- "BALANCE_FREQUENCY 0.439550 1.000000 0.166903 \n",
- "PURCHASES 0.102217 0.166903 1.000000 \n",
- "ONEOFF_PURCHASES 0.172933 0.147846 0.852625 \n",
- "INSTALLMENTS_PURCHASES 0.013676 0.142073 0.728559 \n",
- "CASH_ADVANCE 0.575879 0.138545 -0.236233 \n",
- "PURCHASES_FREQUENCY -0.153306 0.154265 0.687428 \n",
- "ONEOFF_PURCHASES_FREQUENCY 0.102318 0.181196 0.672055 \n",
- "PURCHASES_INSTALLMENTS_FREQUENCY -0.128057 0.123737 0.527451 \n",
- "CASH_ADVANCE_FREQUENCY 0.531558 0.192852 -0.300179 \n",
- "CASH_ADVANCE_TRX 0.525505 0.180504 -0.254318 \n",
- "PURCHASES_TRX 0.042819 0.194752 0.843175 \n",
- "CREDIT_LIMIT 0.456740 0.093166 0.341895 \n",
- "PAYMENTS 0.403422 0.171135 0.496092 \n",
- "MINIMUM_PAYMENTS 0.663993 0.192395 0.079384 \n",
- "PRC_FULL_PAYMENT -0.453893 -0.056715 0.245880 \n",
- "TENURE 0.079000 0.093694 0.116914 \n",
- "\n",
- " ONEOFF_PURCHASES INSTALLMENTS_PURCHASES \\\n",
- "BALANCE 0.172933 0.013676 \n",
- "BALANCE_FREQUENCY 0.147846 0.142073 \n",
- "PURCHASES 0.852625 0.728559 \n",
- "ONEOFF_PURCHASES 1.000000 0.306789 \n",
- "INSTALLMENTS_PURCHASES 0.306789 1.000000 \n",
- "CASH_ADVANCE -0.123410 -0.230397 \n",
- "PURCHASES_FREQUENCY 0.422181 0.683154 \n",
- "ONEOFF_PURCHASES_FREQUENCY 0.824324 0.231340 \n",
- "PURCHASES_INSTALLMENTS_FREQUENCY 0.154497 0.815592 \n",
- "CASH_ADVANCE_FREQUENCY -0.156438 -0.292878 \n",
- "CASH_ADVANCE_TRX -0.129146 -0.247026 \n",
- "PURCHASES_TRX 0.637828 0.757427 \n",
- "CREDIT_LIMIT 0.352743 0.205210 \n",
- "PAYMENTS 0.471265 0.330005 \n",
- "MINIMUM_PAYMENTS 0.051873 0.078573 \n",
- "PRC_FULL_PAYMENT 0.113810 0.269962 \n",
- "TENURE 0.090035 0.108182 \n",
- "\n",
- " CASH_ADVANCE PURCHASES_FREQUENCY \\\n",
- "BALANCE 0.575879 -0.153306 \n",
- "BALANCE_FREQUENCY 0.138545 0.154265 \n",
- "PURCHASES -0.236233 0.687428 \n",
- "ONEOFF_PURCHASES -0.123410 0.422181 \n",
- "INSTALLMENTS_PURCHASES -0.230397 0.683154 \n",
- "CASH_ADVANCE 1.000000 -0.392948 \n",
- "PURCHASES_FREQUENCY -0.392948 1.000000 \n",
- "ONEOFF_PURCHASES_FREQUENCY -0.152434 0.508031 \n",
- "PURCHASES_INSTALLMENTS_FREQUENCY -0.309058 0.831387 \n",
- "CASH_ADVANCE_FREQUENCY 0.834290 -0.457631 \n",
- "CASH_ADVANCE_TRX 0.848970 -0.397722 \n",
- "PURCHASES_TRX -0.273181 0.820786 \n",
- "CREDIT_LIMIT 0.261001 0.110645 \n",
- "PAYMENTS 0.368825 0.122729 \n",
- "MINIMUM_PAYMENTS 0.325816 -0.053435 \n",
- "PRC_FULL_PAYMENT -0.233943 0.308474 \n",
- "TENURE -0.096013 0.066970 \n",
- "\n",
- " ONEOFF_PURCHASES_FREQUENCY \\\n",
- "BALANCE 0.102318 \n",
- "BALANCE_FREQUENCY 0.181196 \n",
- "PURCHASES 0.672055 \n",
- "ONEOFF_PURCHASES 0.824324 \n",
- "INSTALLMENTS_PURCHASES 0.231340 \n",
- "CASH_ADVANCE -0.152434 \n",
- "PURCHASES_FREQUENCY 0.508031 \n",
- "ONEOFF_PURCHASES_FREQUENCY 1.000000 \n",
- "PURCHASES_INSTALLMENTS_FREQUENCY 0.130807 \n",
- "CASH_ADVANCE_FREQUENCY -0.164373 \n",
- "CASH_ADVANCE_TRX -0.137542 \n",
- "PURCHASES_TRX 0.627696 \n",
- "CREDIT_LIMIT 0.296455 \n",
- "PAYMENTS 0.300928 \n",
- "MINIMUM_PAYMENTS -0.009630 \n",
- "PRC_FULL_PAYMENT 0.099064 \n",
- "TENURE 0.083856 \n",
- "\n",
- " PURCHASES_INSTALLMENTS_FREQUENCY \\\n",
- "BALANCE -0.128057 \n",
- "BALANCE_FREQUENCY 0.123737 \n",
- "PURCHASES 0.527451 \n",
- "ONEOFF_PURCHASES 0.154497 \n",
- "INSTALLMENTS_PURCHASES 0.815592 \n",
- "CASH_ADVANCE -0.309058 \n",
- "PURCHASES_FREQUENCY 0.831387 \n",
- "ONEOFF_PURCHASES_FREQUENCY 0.130807 \n",
- "PURCHASES_INSTALLMENTS_FREQUENCY 1.000000 \n",
- "CASH_ADVANCE_FREQUENCY -0.366260 \n",
- "CASH_ADVANCE_TRX -0.315583 \n",
- "PURCHASES_TRX 0.715472 \n",
- "CREDIT_LIMIT 0.058378 \n",
- "PAYMENTS 0.102431 \n",
- "MINIMUM_PAYMENTS -0.018277 \n",
- "PRC_FULL_PAYMENT 0.275739 \n",
- "TENURE 0.073884 \n",
- "\n",
- " CASH_ADVANCE_FREQUENCY CASH_ADVANCE_TRX \\\n",
- "BALANCE 0.531558 0.525505 \n",
- "BALANCE_FREQUENCY 0.192852 0.180504 \n",
- "PURCHASES -0.300179 -0.254318 \n",
- "ONEOFF_PURCHASES -0.156438 -0.129146 \n",
- "INSTALLMENTS_PURCHASES -0.292878 -0.247026 \n",
- "CASH_ADVANCE 0.834290 0.848970 \n",
- "PURCHASES_FREQUENCY -0.457631 -0.397722 \n",
- "ONEOFF_PURCHASES_FREQUENCY -0.164373 -0.137542 \n",
- "PURCHASES_INSTALLMENTS_FREQUENCY -0.366260 -0.315583 \n",
- "CASH_ADVANCE_FREQUENCY 1.000000 0.939703 \n",
- "CASH_ADVANCE_TRX 0.939703 1.000000 \n",
- "PURCHASES_TRX -0.325492 -0.273108 \n",
- "CREDIT_LIMIT 0.100658 0.133933 \n",
- "PAYMENTS 0.205875 0.256674 \n",
- "MINIMUM_PAYMENTS 0.278039 0.302627 \n",
- "PRC_FULL_PAYMENT -0.305366 -0.266926 \n",
- "TENURE -0.124117 -0.072471 \n",
- "\n",
- " PURCHASES_TRX CREDIT_LIMIT PAYMENTS \\\n",
- "BALANCE 0.042819 0.456740 0.403422 \n",
- "BALANCE_FREQUENCY 0.194752 0.093166 0.171135 \n",
- "PURCHASES 0.843175 0.341895 0.496092 \n",
- "ONEOFF_PURCHASES 0.637828 0.352743 0.471265 \n",
- "INSTALLMENTS_PURCHASES 0.757427 0.205210 0.330005 \n",
- "CASH_ADVANCE -0.273181 0.261001 0.368825 \n",
- "PURCHASES_FREQUENCY 0.820786 0.110645 0.122729 \n",
- "ONEOFF_PURCHASES_FREQUENCY 0.627696 0.296455 0.300928 \n",
- "PURCHASES_INSTALLMENTS_FREQUENCY 0.715472 0.058378 0.102431 \n",
- "CASH_ADVANCE_FREQUENCY -0.325492 0.100658 0.205875 \n",
- "CASH_ADVANCE_TRX -0.273108 0.133933 0.256674 \n",
- "PURCHASES_TRX 1.000000 0.250522 0.341845 \n",
- "CREDIT_LIMIT 0.250522 1.000000 0.461019 \n",
- "PAYMENTS 0.341845 0.461019 1.000000 \n",
- "MINIMUM_PAYMENTS 0.062609 0.228766 0.241452 \n",
- "PRC_FULL_PAYMENT 0.240429 0.039825 0.175619 \n",
- "TENURE 0.145224 0.158845 0.174052 \n",
- "\n",
- " MINIMUM_PAYMENTS PRC_FULL_PAYMENT TENURE \n",
- "BALANCE 0.663993 -0.453893 0.079000 \n",
- "BALANCE_FREQUENCY 0.192395 -0.056715 0.093694 \n",
- "PURCHASES 0.079384 0.245880 0.116914 \n",
- "ONEOFF_PURCHASES 0.051873 0.113810 0.090035 \n",
- "INSTALLMENTS_PURCHASES 0.078573 0.269962 0.108182 \n",
- "CASH_ADVANCE 0.325816 -0.233943 -0.096013 \n",
- "PURCHASES_FREQUENCY -0.053435 0.308474 0.066970 \n",
- "ONEOFF_PURCHASES_FREQUENCY -0.009630 0.099064 0.083856 \n",
- "PURCHASES_INSTALLMENTS_FREQUENCY -0.018277 0.275739 0.073884 \n",
- "CASH_ADVANCE_FREQUENCY 0.278039 -0.305366 -0.124117 \n",
- "CASH_ADVANCE_TRX 0.302627 -0.266926 -0.072471 \n",
- "PURCHASES_TRX 0.062609 0.240429 0.145224 \n",
- "CREDIT_LIMIT 0.228766 0.039825 0.158845 \n",
- "PAYMENTS 0.241452 0.175619 0.174052 \n",
- "MINIMUM_PAYMENTS 1.000000 -0.319688 0.103005 \n",
- "PRC_FULL_PAYMENT -0.319688 1.000000 -0.001969 \n",
- "TENURE 0.103005 -0.001969 1.000000 "
- ]
- },
- "execution_count": 14,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "df.corr()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 15,
- "id": "a82b1f8c",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "Text(0.5, 1.0, 'Correlation between different fearures')"
- ]
- },
- "execution_count": 15,
- "metadata": {},
- "output_type": "execute_result"
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "correlation = df.corr()\n",
- "plt.figure(figsize=(17,17))\n",
- "sns.heatmap(correlation, vmax=1, square=True,annot=True,cmap='cubehelix')\n",
- "\n",
- "plt.title('Correlation between different fearures')"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 16,
- "id": "9d5b292b",
- "metadata": {},
- "outputs": [],
- "source": [
- "from sklearn.preprocessing import StandardScaler\n",
- "df_std = StandardScaler().fit_transform(df)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 17,
- "id": "9beb9e47",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "Text(0, 0.5, 'Cumulative explained variance')"
- ]
- },
- "execution_count": 17,
- "metadata": {},
- "output_type": "execute_result"
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "from sklearn.decomposition import PCA\n",
- "pca = PCA().fit(df_std)\n",
- "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
- "plt.xlim(0,16,1)\n",
- "plt.xlabel('Number of components')\n",
- "plt.ylabel('Cumulative explained variance')"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 18,
- "id": "0aceae0d",
- "metadata": {},
- "outputs": [],
- "source": [
- "from sklearn.decomposition import PCA \n",
- "sklearn_pca = PCA(n_components=6)\n",
- "Y_sklearn = sklearn_pca.fit_transform(df_std)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 19,
- "id": "3835d517",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "[[-0.88512191 -2.48301693 0.23090242 0.80712881 0.04336989 -0.38202562]\n",
- " [-3.00034342 2.01508943 -0.16533426 -1.08717122 1.67093843 -0.28801526]\n",
- " [ 1.19172624 0.38517395 -1.92678896 1.85933784 -0.55010278 -0.23006842]\n",
- " ...\n",
- " [ 0.10596162 -3.06675754 1.18931984 -1.77510721 -2.96585047 1.26333337]\n",
- " [-2.84716017 -2.51797947 -0.29519488 -2.14835177 -2.99036079 0.69668999]\n",
- " [-0.16460436 -0.5243077 -1.64424995 -1.31555393 -4.69253162 1.53231934]]\n"
- ]
- }
- ],
- "source": [
- "print(Y_sklearn)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 20,
- "id": "6d4d3568",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(8950, 6)"
- ]
- },
- "execution_count": 20,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "Y_sklearn.shape"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 21,
- "id": "873a3243",
- "metadata": {},
- "outputs": [],
- "source": [
- "df= pd.DataFrame(Y_sklearn,columns=['PC1','PC2','PC3','PC4','PC5','PC6'])"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 22,
- "id": "b093c72a",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/html": [
- "\n",
- "\n",
- "
\n",
- " \n",
- " \n",
- " | \n",
- " PC1 | \n",
- " PC2 | \n",
- " PC3 | \n",
- " PC4 | \n",
- " PC5 | \n",
- " PC6 | \n",
- "
\n",
- " \n",
- " \n",
- " \n",
- " | 0 | \n",
- " -0.885122 | \n",
- " -2.483017 | \n",
- " 0.230902 | \n",
- " 0.807129 | \n",
- " 0.043370 | \n",
- " -0.382026 | \n",
- "
\n",
- " \n",
- " | 1 | \n",
- " -3.000343 | \n",
- " 2.015089 | \n",
- " -0.165334 | \n",
- " -1.087171 | \n",
- " 1.670938 | \n",
- " -0.288015 | \n",
- "
\n",
- " \n",
- " | 2 | \n",
- " 1.191726 | \n",
- " 0.385174 | \n",
- " -1.926789 | \n",
- " 1.859338 | \n",
- " -0.550103 | \n",
- " -0.230068 | \n",
- "
\n",
- " \n",
- " | 3 | \n",
- " -0.794805 | \n",
- " 0.218433 | \n",
- " -1.661542 | \n",
- " 1.195618 | \n",
- " 0.058950 | \n",
- " 0.798510 | \n",
- "
\n",
- " \n",
- " | 4 | \n",
- " -1.265058 | \n",
- " -1.593317 | \n",
- " -0.689436 | \n",
- " 1.339644 | \n",
- " -0.114019 | \n",
- " -0.837737 | \n",
- "
\n",
- " \n",
- " | ... | \n",
- " ... | \n",
- " ... | \n",
- " ... | \n",
- " ... | \n",
- " ... | \n",
- " ... | \n",
- "
\n",
- " \n",
- " | 8945 | \n",
- " 0.668484 | \n",
- " -2.871696 | \n",
- " 1.452469 | \n",
- " -2.236975 | \n",
- " -2.854943 | \n",
- " 0.766981 | \n",
- "
\n",
- " \n",
- " | 8946 | \n",
- " 0.262604 | \n",
- " -2.240280 | \n",
- " 1.844972 | \n",
- " -0.568118 | \n",
- " -3.339266 | \n",
- " 1.706628 | \n",
- "
\n",
- " \n",
- " | 8947 | \n",
- " 0.105962 | \n",
- " -3.066758 | \n",
- " 1.189320 | \n",
- " -1.775107 | \n",
- " -2.965850 | \n",
- " 1.263333 | \n",
- "
\n",
- " \n",
- " | 8948 | \n",
- " -2.847160 | \n",
- " -2.517979 | \n",
- " -0.295195 | \n",
- " -2.148352 | \n",
- " -2.990361 | \n",
- " 0.696690 | \n",
- "
\n",
- " \n",
- " | 8949 | \n",
- " -0.164604 | \n",
- " -0.524308 | \n",
- " -1.644250 | \n",
- " -1.315554 | \n",
- " -4.692532 | \n",
- " 1.532319 | \n",
- "
\n",
- " \n",
- "
\n",
- "
8950 rows × 6 columns
\n",
- "
"
- ],
- "text/plain": [
- " PC1 PC2 PC3 PC4 PC5 PC6\n",
- "0 -0.885122 -2.483017 0.230902 0.807129 0.043370 -0.382026\n",
- "1 -3.000343 2.015089 -0.165334 -1.087171 1.670938 -0.288015\n",
- "2 1.191726 0.385174 -1.926789 1.859338 -0.550103 -0.230068\n",
- "3 -0.794805 0.218433 -1.661542 1.195618 0.058950 0.798510\n",
- "4 -1.265058 -1.593317 -0.689436 1.339644 -0.114019 -0.837737\n",
- "... ... ... ... ... ... ...\n",
- "8945 0.668484 -2.871696 1.452469 -2.236975 -2.854943 0.766981\n",
- "8946 0.262604 -2.240280 1.844972 -0.568118 -3.339266 1.706628\n",
- "8947 0.105962 -3.066758 1.189320 -1.775107 -2.965850 1.263333\n",
- "8948 -2.847160 -2.517979 -0.295195 -2.148352 -2.990361 0.696690\n",
- "8949 -0.164604 -0.524308 -1.644250 -1.315554 -4.692532 1.532319\n",
- "\n",
- "[8950 rows x 6 columns]"
- ]
- },
- "execution_count": 22,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "df"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 23,
- "id": "43cd6ac4",
- "metadata": {},
- "outputs": [],
- "source": [
- "from sklearn.cluster import KMeans\n",
- "wcss = [] \n",
- "m = range(1,11)\n",
- "for i in m: \n",
- " kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n",
- " kmeans.fit(df) \n",
- " wcss.append(kmeans.inertia_)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 24,
- "id": "c92a5f3c",
- "metadata": {},
- "outputs": [
- {
- "data": {
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "plt.plot(m,wcss,'bx-')\n",
- "plt.plot(range(1, 11), wcss)\n",
- "plt.xlabel('PC')\n",
- "plt.ylabel('Inertia') \n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 25,
- "id": "3bc1d641",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\"]]\n",
- "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"m\")\n",
- "plt.xlabel(\"PC1\")\n",
- "plt.ylabel(\"PC2\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 26,
- "id": "56584a51",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "K=3\n",
- "\n",
- "Centroids = (X.sample(n=K))\n",
- "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"y\")\n",
- "plt.scatter(Centroids[\"PC1\"], Centroids[\"PC2\"], c=\"red\")\n",
- "plt.xlabel(\"PC1\")\n",
- "plt.ylabel(\"PC2\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 27,
- "id": "eed59606",
- "metadata": {},
- "outputs": [
- {
- "data": {
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\n",
- " \n",
- " \n",
- " | \n",
- " PC1 | \n",
- " PC2 | \n",
- " PC3 | \n",
- " PC4 | \n",
- " PC5 | \n",
- " PC6 | \n",
- "
\n",
- " \n",
- " \n",
- " \n",
- " | 4935 | \n",
- " 0.243238 | \n",
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- " -0.280856 | \n",
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- " \n",
- " | 2354 | \n",
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- "text/plain": [
- " PC1 PC2 PC3 PC4 PC5 PC6\n",
- "4935 0.243238 0.923926 -0.784754 1.358766 -0.631763 -0.280856\n",
- "2354 1.458667 0.706307 -0.602540 1.747178 0.009771 0.217747\n",
- "8433 -0.776830 -2.897621 0.005112 0.320380 0.524423 0.889745"
- ]
- },
- "execution_count": 27,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "Centroids"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 28,
- "id": "49025993",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "-0.23005758751794309\n",
- "0.202882684325554\n",
- "0.24761325318602417\n",
- "0.18448613205837536\n",
- "0.12934828598742779\n",
- "0.10243352555425\n",
- "0.06135218206803488\n",
- "0.04073516022802716\n",
- "0.026427336995633294\n",
- "0.014826887020765088\n",
- "0.02306539424377302\n",
- "0.00729949726888677\n",
- "0.004247955778193337\n",
- "0.008438866188893442\n",
- "0.006670729243248848\n",
- "0.00820622911998153\n",
- "0.0021603402509208676\n",
- "0.0\n"
- ]
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- "source": [
- "diff = 1\n",
- "j=0\n",
- "\n",
- "while(diff!=0):\n",
- " XD=X\n",
- " i=1\n",
- " for index1, row_c in Centroids.iterrows():\n",
- " ED=[]\n",
- " for index2, row_d in XD.iterrows():\n",
- " d1 = (row_c[\"PC1\"]-row_d[\"PC1\"])**2\n",
- " d2 = (row_c[\"PC2\"]-row_d[\"PC2\"])**2\n",
- " d3 = (row_c[\"PC3\"]-row_d[\"PC3\"])**2\n",
- " d4 = (row_c[\"PC4\"]-row_d[\"PC4\"])**2\n",
- " d5 = (row_c[\"PC5\"]-row_d[\"PC5\"])**2\n",
- " d6 = (row_c[\"PC6\"]-row_d[\"PC6\"])**2\n",
- " \n",
- " d = sqrt(d1+d2+d3+d4+d5+d6)\n",
- " ED.append(d)\n",
- " X[i] = ED\n",
- " i = i+1\n",
- " \n",
- " C = []\n",
- " for index, row in X.iterrows():\n",
- " min_dist=row[1]\n",
- " pos=1\n",
- " for i in range(K):\n",
- " if row[i+1] < min_dist:\n",
- " min_dist = row[i+1]\n",
- " pos = i+1\n",
- " C.append(pos)\n",
- " X[\"Cluster\"]=C\n",
- " Centroids_new = X.groupby([\"Cluster\"]).mean()[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\"]]\n",
- " if j == 0:\n",
- " diff = 1\n",
- " j = j+1\n",
- " else:\n",
- " diff = (Centroids_new['PC1'] - Centroids['PC1']).sum() + (Centroids_new['PC2'] - Centroids['PC2']).sum() + (Centroids_new['PC3'] - Centroids['PC3']).sum() + (Centroids_new['PC4'] - Centroids['PC4']).sum() +(Centroids_new['PC5'] - Centroids['PC5']).sum()+ (Centroids_new['PC6'] - Centroids['PC6']).sum()\n",
- " print(diff.sum())\n",
- " Centroids = X.groupby([\"Cluster\"]).mean()[[\"PC1\",\"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\"]]"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 29,
- "id": "84595945",
- "metadata": {},
- "outputs": [
- {
- "data": {
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\n",
- " \n",
- " \n",
- " | \n",
- " PC1 | \n",
- " PC2 | \n",
- " PC3 | \n",
- " PC4 | \n",
- " PC5 | \n",
- " PC6 | \n",
- " 1 | \n",
- " 2 | \n",
- " 3 | \n",
- " Cluster | \n",
- "
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- " 1.191726 | \n",
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- " | 8947 | \n",
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- " 1.189320 | \n",
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- " 6.710662 | \n",
- " 4.225640 | \n",
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- " | 8948 | \n",
- " -2.847160 | \n",
- " -2.517979 | \n",
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- " -2.990361 | \n",
- " 0.696690 | \n",
- " 5.050392 | \n",
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- " | 8949 | \n",
- " -0.164604 | \n",
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8950 rows × 10 columns
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- "
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- ],
- "text/plain": [
- " PC1 PC2 PC3 PC4 PC5 PC6 1 \\\n",
- "0 -0.885122 -2.483017 0.230902 0.807129 0.043370 -0.382026 3.892347 \n",
- "1 -3.000343 2.015089 -0.165334 -1.087171 1.670938 -0.288015 2.278485 \n",
- "2 1.191726 0.385174 -1.926789 1.859338 -0.550103 -0.230068 4.673800 \n",
- "3 -0.794805 0.218433 -1.661542 1.195618 0.058950 0.798510 2.952345 \n",
- "4 -1.265058 -1.593317 -0.689436 1.339644 -0.114019 -0.837737 3.310867 \n",
- "... ... ... ... ... ... ... ... \n",
- "8945 0.668484 -2.871696 1.452469 -2.236975 -2.854943 0.766981 6.304943 \n",
- "8946 0.262604 -2.240280 1.844972 -0.568118 -3.339266 1.706628 5.973951 \n",
- "8947 0.105962 -3.066758 1.189320 -1.775107 -2.965850 1.263333 6.113868 \n",
- "8948 -2.847160 -2.517979 -0.295195 -2.148352 -2.990361 0.696690 5.050392 \n",
- "8949 -0.164604 -0.524308 -1.644250 -1.315554 -4.692532 1.532319 6.015829 \n",
- "\n",
- " 2 3 Cluster \n",
- "0 5.711459 1.949079 3 \n",
- "1 6.332207 5.424211 1 \n",
- "2 3.306090 3.433723 2 \n",
- "3 4.448837 3.139285 1 \n",
- "4 5.546809 2.545982 3 \n",
- "... ... ... ... \n",
- "8945 6.443618 4.247216 3 \n",
- "8946 6.333933 4.260482 3 \n",
- "8947 6.710662 4.225640 3 \n",
- "8948 8.006015 5.268191 1 \n",
- "8949 6.406426 5.610537 3 \n",
- "\n",
- "[8950 rows x 10 columns]"
- ]
- },
- "execution_count": 29,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "X"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 30,
- "id": "8f267824",
- "metadata": {},
- "outputs": [
- {
- "data": {
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "color=['red','green','cyan']\n",
- "for k in range(K):\n",
- " data=X[X[\"Cluster\"]==k+1]\n",
- " plt.scatter(data[\"PC1\"],data[\"PC2\"],c=color[k])\n",
- "plt.scatter(Centroids[\"PC1\"],Centroids[\"PC2\"],c='black')\n",
- "plt.xlabel('PC1')\n",
- "plt.ylabel('PC2')\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "id": "cab7d978",
- "metadata": {},
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 3 (ipykernel)",
- "language": "python",
- "name": "python3"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.13"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}
From cbe7d0a24bf604ed5ea7cc05bdaad87409ac6c08 Mon Sep 17 00:00:00 2001
From: ayushhimmatsinghka
<106641708+ayushhimmatsinghka@users.noreply.github.com>
Date: Wed, 13 Jul 2022 00:30:13 +0530
Subject: [PATCH 8/8] Delete README.md
---
README.md | 8 --------
1 file changed, 8 deletions(-)
delete mode 100644 README.md
diff --git a/README.md b/README.md
deleted file mode 100644
index 7df85e3..0000000
--- a/README.md
+++ /dev/null
@@ -1,8 +0,0 @@
-# Customer-Segmentation-Credit-Risk-Modelling
-We will use this repository for accepting assignment submissions.
-
-Link to resources (will be posted later) -
-
-Assignment 1 (Deadline 16 June 2359)
-
-