diff --git a/circular_statistics.ipynb b/circular_statistics.ipynb new file mode 100644 index 0000000..4260241 --- /dev/null +++ b/circular_statistics.ipynb @@ -0,0 +1,536 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "# Estimating circular quantities using qinfer\n", + "\n", + "This notebook demonstrates how to use custom particle-mean and particle-covariance functions in `qinfer`. \n", + "As an example, we deal with the problem of estimating a phase variable confined to the interval $[0, 2\\pi]$.\n", + "\n", + "This feature requires `qinfer > 1.0`. \n", + "Currently, only the dev version from github with commit id > `41ddbad11fdd4b4cca9348072b4cbfb6cdd20cbd` support this feature." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/dsuess/Library/Miniconda3/envs/qinfer/lib/python2.7/site-packages/IPython/parallel.py:13: ShimWarning: The `IPython.parallel` package has been deprecated since IPython 4.0. You should import from ipyparallel instead.\n", + " \"You should import from ipyparallel instead.\", ShimWarning)\n", + "/Users/dsuess/Code/Qinfer/src/qinfer/parallel.py:52: UserWarning: Could not import IPython parallel. Parallelization support will be disabled.\n", + " \"Could not import IPython parallel. \"\n" + ] + } + ], + "source": [ + "import qinfer as qi\n", + "import matplotlib.pyplot as pl\n", + "import numpy as np" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "We will be dealing with the task of estimating $\\phi \\in [0, 2\\pi)$ from noisy observations $Y = \\mathrm{mod}_{2\\pi}(\\phi + \\sigma \\epsilon)$, where $\\sigma > 0$ is a known constant and $\\epsilon \\sim \\mathcal{N}(0, 1)$ is a standard normal random variable.\n", + "As we will show below, the standard resampler used in `qinfer` cannot deal with this setting due to the periodicity.\n", + "\n", + "First, let us define the model.\n", + "To keep this example simple, we do not use the fact that our problem would allow for using `qinfer.DifferentiableModel`." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "class CircularModel(qi.Model):\n", + " def __init__(self, sigma=.01):\n", + " super(CircularModel, self).__init__()\n", + " self.sigma = sigma\n", + " \n", + " @property\n", + " def n_modelparams(self):\n", + " return 1\n", + " \n", + " @property\n", + " def expparams_dtype(self):\n", + " # We do not have any external parameters to be adjusted\n", + " return []\n", + " \n", + " @property\n", + " def is_n_outcomes_constant(self):\n", + " return True\n", + " \n", + " @property\n", + " def n_outcomes(self):\n", + " return 1\n", + " \n", + " def domain(self, _):\n", + " # specify the domain of \\phi\n", + " return qi.RealDomain(min=0, max=2 * np.pi)\n", + " \n", + " def are_models_valid(self, modelparams):\n", + " return (modelparams[..., 0] >= 0) * (modelparams[..., 0] < 2 * np.pi)\n", + " \n", + " def canonicalize(self, modelparams):\n", + " return np.mod(modelparams, 2 * np.pi)\n", + " \n", + " def simulate_experiment(self, modelparams, expparams, repeat=1):\n", + " x = modelparams[None, :, None] + self.sigma * np.random.randn(repeat)\n", + " return self.canonicalize(x)\n", + " \n", + " def likelihood(self, outcomes, modelparams, expparams):\n", + " super(CircularModel, self).likelihood(outcomes, modelparams, expparams)\n", + " nr_summands = np.ceil(self.sigma / np.pi) + 3\n", + " n = np.arange(-nr_summands, nr_summands + 1)[:, None, None]\n", + " x = outcomes[None, :, None] - modelparams[None, None, :, 0] + 2 * np.pi * n\n", + " x /= self.sigma\n", + " p = 1 / np.sqrt(2 * np.pi * self.sigma**2) * np.exp(- x * x / 2)\n", + " return np.sum(p, axis=0)[..., None]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "The only function in this model that needs some more explanation is the `likelihood` function. \n", + "Due to the `\\mathrm{mod}` operation in the statistical model, the likelihood of an observation $y$ is given by\n", + "$$\\mathbb{P}(Y=y | \\phi) = \\sum_{k=-\\infty}^\\infty \\mathbb{P}(\\epsilon=y - \\phi - 2\\pi k)$$\n", + "Recall that $\\epsilon$ was a standard normal random variable.\n", + "To evaluate the right hand side, we truncate the sum and only consider summands $k=-K, ..., K$ which substantially contribute to the sum.\n", + "We choose $K$ to be $\\lceil \\sigma / \\pi \\rceil + 3$, which makes sure that any contribution with $k > K$ is negligible." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "def weights_to_markersize(weights, maxsize=30):\n", + " return maxsize * weights / np.max(weights)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "First, let us demonstrate that the model works well in cases where the boundary \"is not felt\", that is where the true vallue $\\phi$ lies well inside the domain.\n", + "For this we sample `NR_OUTCOMES` outcomes with $\\phi = 4$ and $\\sigma = 1$.\n", + "This data is then used to update a uniform prior on $[0, 2\\pi)$." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true, + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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Snsb+7/8++WM1REREZLyKSD1bmj/NRzb8GQ9u/AY/vf5r3FB331UVwkcZY6iLr2VZaiv1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+ "text/plain": [ + "" + ] + }, + "metadata": { + "image/png": { + "height": 304, + "width": 497 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# nr of particles for the particle filter\n", + "PARTICLES = 50\n", + "# nr of measurements to be sampled\n", + "NR_OUTCOMES = 10\n", + "\n", + "ax = pl.subplot(111)\n", + "twinx = ax.twinx()\n", + "twinx.set_yticks([])\n", + "np.random.seed(1234)\n", + "\n", + "# specify the true model parameters\n", + "modelparams_true = np.array([4])\n", + "model = CircularModel(sigma=1.)\n", + "# sample outcomes to be used for inference\n", + "outcomes = model.simulate_experiment(modelparams_true, [], repeat=NR_OUTCOMES).ravel()\n", + "resampler = qi.LiuWestResampler(a=0.0)\n", + "\n", + "for i in range(20):\n", + " prior = qi.UniformDistribution(ranges=np.array([0, 2 * np.pi]))\n", + " updater = qi.SMCUpdater(model, PARTICLES, prior, resampler=resampler)\n", + " updater.batch_update(outcomes, np.empty((NR_OUTCOMES)), resample_interval=1)\n", + " twinx.scatter(updater.particle_locations, i * np.ones(PARTICLES),\n", + " s=weights_to_markersize(updater.particle_weights))\n", + " \n", + "# let us also approximate the distribution of $Y$ with a histogram over many samples\n", + "ax.hist(model.simulate_experiment(modelparams_true, [], repeat=1000000).ravel(),\n", + " bins=500, normed=True, alpha=.2);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Besides the approximated density of $Y$, the above plot show the positions and weights of the particle approximation of the posterior for 20 independent runs.\n", + "The choice `a = 0` for the Liu-West resampler and the forced resampling after each update step will become clear below.\n", + "Just notice that the inference worked well and the particle mean would constitute a viable estimate of the true value.\n", + "Since the particles concentrate around the mean, the estimate would also provide a relatively small uncertainty region.\n", + "\n", + "Let us now run the same simulation, but with $\\phi = 0.001$, that is with $\\phi$ very close to the boundary." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true, + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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waBehgm1guGahrJr83mfxDB5C6eilOqlBO3iH3sHre5fBhb9LJHdN9s8thBBC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v7zn583ze3bt/OHf/iHy9ovIdYyaQkXQgghxJ3K7+CzQtyNahKI9/f385WvfIWxsTEOHDjAunXr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\niUrIg0Ig7nkQYkQXGzI6IAIC1er9DoeqwzN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+ "text/plain": [ + "" + ] + }, + "metadata": { + "image/png": { + "height": 304, + "width": 497 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.subplot(111)\n", + "twinx = ax.twinx()\n", + "twinx.set_yticks([])\n", + "np.random.seed(1234)\n", + "\n", + "# specify the true model parameters\n", + "modelparams_true = np.array([0.001])\n", + "model = CircularModel(sigma=1.)\n", + "# sample outcomes to be used for inference\n", + "outcomes = model.simulate_experiment(modelparams_true, [], repeat=NR_OUTCOMES).ravel()\n", + "resampler = qi.LiuWestResampler(a=0.0)\n", + "\n", + "for i in range(20):\n", + " prior = qi.UniformDistribution(ranges=np.array([0, 2 * np.pi]))\n", + " updater = qi.SMCUpdater(model, PARTICLES, prior, resampler=resampler)\n", + " updater.batch_update(outcomes, np.empty((NR_OUTCOMES)), resample_interval=1)\n", + " twinx.scatter(updater.particle_locations, i * np.ones(PARTICLES),\n", + " s=weights_to_markersize(updater.particle_weights))\n", + " \n", + "# let us also approximate the distribution of $Y$ with a histogram over many samples\n", + "ax.hist(model.simulate_experiment(modelparams_true, [], repeat=1000000).ravel(),\n", + " bins=500, normed=True, alpha=.2);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Clearly, the particle approximation to the posterior is all over the place and very sensetive to the initial sample. \n", + "The reason for this behaviour lies in the resampling step:\n", + "The goal of resampling is to counteract the trend that with an increasing number of update steps, the particle weight usually concentrates on very few of the particles.\n", + "There are two basic strategies how the Liu-West resampler determines the position of the new particles:\n", + "- in either samples the old positions of the particles according to their weight (and may add small additional noise to obtain slightly different locations from particles with a high weight)\n", + "- it approximates the current particle distribution using a Gaussian distribution and samples the new locations from it.\n", + "Which strategy we choose depends on the parameter `a`.\n", + "For our choice `a = 0`, we only employ the latter strategy.\n", + "\n", + "This however is problematic for circular quantities.\n", + "For example consider two two particles with equal weight and locations $\\varphi_1 = 0.0001$ and $\\varphi_2 = 2\\pi - 0.0001$.\n", + "Their arithmetic mean is $\\pi$.\n", + "The corresponding Gaussian approximation using the arithmetic mean and variance is of course very bad when we consider the $\\varphi_i$ to be angle variables." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean: 3.14159265359 Variance: 9.86897609256\n" + ] + } + ], + "source": [ + "particle_locations = np.array([[0.0001], [2 * np.pi - 0.0001]])\n", + "particle_weights = np.array([.5, .5])\n", + "\n", + "mean = qi.ParticleDistribution.particle_mean(particle_weights, particle_locations)\n", + "var = qi.ParticleDistribution.particle_covariance_mtx(particle_weights, particle_locations)\n", + "print(\"Mean: {} Variance: {}\".format(mean[0], var[0, 0]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In order to fix the resampling step, we have to use definitions of mean and variance appropriate for circular quantities, namely circular mean and variance.\n", + "Taking the circular mean of angles corresponds to translating these angles to points on the unit circle, taking the arithmetic mean of the points, and projecting the mean back on the unit circle.\n", + "The variance can be also be obtained from the length of the unprojected mean.\n", + "For more information, see [wikipedia](https://en.wikipedia.org/wiki/Mean_of_circular_quantities).\n", + "\n", + "In `qinfer`, we can provide custom particle-mean and covariance functions, which are then used by the resampler instead.\n", + "This can be done by subclassing `qinfer.ParticleDistribution` and overwriting the `particle_mean` and `particle_covariance_mtx` functions.\n", + "Both should take the weights and locations as arguments." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def cart2pol(x, y):\n", + " \"\"\"Transform 2D carthesian coordinates to polar coordinates\"\"\"\n", + " rho = np.sqrt(x**2 + y**2)\n", + " phi = np.arctan2(y, x)\n", + " return rho, phi\n", + "\n", + "def pol2cart(rho, phi):\n", + " \"\"\"Transform 2D polar coordinates to carthesian coordinates\"\"\"\n", + " x = rho * np.cos(phi)\n", + " y = rho * np.sin(phi)\n", + " return x, y\n", + "\n", + "\n", + "def circular_particle_mean(weights, angles):\n", + " \"\"\"Computes the weighted circular mean and returns the mean\n", + " amplitude (used for computing the variance) as well as the\n", + " mean angle.\n", + " \"\"\"\n", + " x, y = pol2cart(1, angles)\n", + " meanfunc = qi.ParticleDistribution.particle_mean\n", + " mean_x = meanfunc(weights, x)\n", + " mean_y = meanfunc(weights, y)\n", + " mean_amplitude, mean_angle = cart2pol(mean_x, mean_y)\n", + " return mean_amplitude, np.mod(mean_angle, 2 * np.pi)\n", + "\n", + "\n", + "class CircularDistribution(qi.ParticleDistribution):\n", + " @staticmethod\n", + " def particle_mean(weights, locations):\n", + " _, mean_angle = circular_particle_mean(weights, locations)\n", + " return mean_angle\n", + " \n", + " @staticmethod\n", + " def particle_covariance_mtx(weights, locations):\n", + " mean_amplitude, _ = circular_particle_mean(weights, locations)\n", + " return np.reshape(1 - mean_amplitude, (1, 1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that both functions are defined as `staticmethod`, that means they cannot use any instance variables of any instance of `qinfer.ParticleDistribution`.\n", + "Now, the mean and variance of the above 2 particles makes more sense:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean: 6.28318530718 Variance: 4.99999996961e-09\n" + ] + } + ], + "source": [ + "mean = CircularDistribution.particle_mean(particle_weights, particle_locations)\n", + "var = CircularDistribution.particle_covariance_mtx(particle_weights, particle_locations)\n", + "print(\"Mean: {} Variance: {}\".format(mean[0], var[0, 0]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, in order for the updater class to use these newly defined functions for resampling, we simply derive a new class where the newly defined particle mean and covariance functions take precedence." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "class CircularSMCUpdater(qi.SMCUpdater, CircularDistribution):\n", + " pass" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true, + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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pICBCxJaWhBuZCM9YD8fkCIgREMNzVpI3qzGVczxHwSKjQHwJsm4MGh7Ey6yi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\n6zDGiDO+u/hULg28o6655nHAVAxQEZ4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ePa26epyvfLPgOf1b/yUIoPv7YPmqkcPYiy3v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\nSi3iK0E2szRbw8eaavK4mRpaweNjRGRBqVVRREQWzSRdzSc10Rjw3itzn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+ "text/plain": [ + "" + ] + }, + "metadata": { + "image/png": { + "height": 304, + "width": 497 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.subplot(111)\n", + "twinx = ax.twinx()\n", + "twinx.set_yticks([])\n", + "np.random.seed(1234)\n", + "\n", + "# specify the true model parameters\n", + "modelparams_true = np.array([0.001])\n", + "model = CircularModel(sigma=1.)\n", + "# sample outcomes to be used for inference\n", + "outcomes = model.simulate_experiment(modelparams_true, [], repeat=NR_OUTCOMES).ravel()\n", + "# We need to disable postselection in the resampler since otherwise we loose the \n", + "# new particle locations outside of [0, 2pi]\n", + "# This is a workaround for not using particle_mean in resamplers.py:322\n", + "resampler = qi.LiuWestResampler(a=0.0, postselect=False)\n", + "\n", + "for i in range(20):\n", + " prior = qi.UniformDistribution(ranges=np.array([0, 2 * np.pi]))\n", + " # We have to canonicalize since we disabled postselection\n", + " updater = CircularSMCUpdater(model, PARTICLES, prior, resampler=resampler,\n", + " canonicalize=True)\n", + " updater.batch_update(outcomes, np.empty((NR_OUTCOMES)), resample_interval=1)\n", + " twinx.scatter(updater.particle_locations, i * np.ones(PARTICLES),\n", + " s=weights_to_markersize(updater.particle_weights))\n", + " \n", + "# let us also approximate the distribution of $Y$ with a histogram over many samples\n", + "ax.hist(model.simulate_experiment(modelparams_true, [], repeat=1000000).ravel(),\n", + " bins=500, normed=True, alpha=.2);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "source": [ + "Note how the new particle estimates closely resemble the above case, where $\\phi$ was far away from the domain boundaries.\n", + "Also, due to optimizations in the resampler, we have to disable postselection and cannonicalize the particles each time." + ] + } + ], + "metadata": { + 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