From df30cacc07fdd77f9ea161c436e5564428c25593 Mon Sep 17 00:00:00 2001 From: Elad Hazan Date: Sun, 1 Jun 2025 11:17:57 -0400 Subject: [PATCH 1/3] Create test_agents_on_lds.ipynb --- deluca/colabs/test_agents_on_lds.ipynb | 1 + 1 file changed, 1 insertion(+) create mode 100644 deluca/colabs/test_agents_on_lds.ipynb diff --git a/deluca/colabs/test_agents_on_lds.ipynb b/deluca/colabs/test_agents_on_lds.ipynb new file mode 100644 index 0000000..8b13789 --- /dev/null +++ b/deluca/colabs/test_agents_on_lds.ipynb @@ -0,0 +1 @@ + From 77e4e00dfce3185e0935bac17cdd4462aede16ec Mon Sep 17 00:00:00 2001 From: Elad Hazan Date: Sun, 1 Jun 2025 11:21:27 -0400 Subject: [PATCH 2/3] Add files via upload --- deluca/colabs/test_agents_on_lds.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/deluca/colabs/test_agents_on_lds.ipynb b/deluca/colabs/test_agents_on_lds.ipynb index 8b13789..fcce40b 100644 --- a/deluca/colabs/test_agents_on_lds.ipynb +++ b/deluca/colabs/test_agents_on_lds.ipynb @@ -1 +1 @@ - +{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[{"file_id":"1ZArDMR7PAiWBecPgHCikbKXN_V7j7SJ2","timestamp":1748725042432}]},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"XOcLsTo1vS5A","executionInfo":{"status":"ok","timestamp":1748782658506,"user_tz":240,"elapsed":1731,"user":{"displayName":"Elad Hazan","userId":"16316235310463925593"}},"outputId":"b09818da-de59-471e-ac03-d8339aa3f5f4"},"outputs":[{"output_type":"stream","name":"stdout","text":["Cloning into 'deluca'...\n","remote: Enumerating objects: 2487, done.\u001b[K\n","remote: Counting objects: 100% (299/299), done.\u001b[K\n","remote: Compressing objects: 100% (154/154), done.\u001b[K\n","remote: Total 2487 (delta 217), reused 172 (delta 145), pack-reused 2188 (from 1)\u001b[K\n","Receiving objects: 100% (2487/2487), 3.03 MiB | 6.61 MiB/s, done.\n","Resolving deltas: 100% (1509/1509), done.\n"]}],"source":["!git clone -b fix-jax-compatability https://github.com/google/deluca.git"]},{"cell_type":"code","source":["%cd deluca\n","\n","!pip install -e ."],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"eBKI9_uzKNAY","executionInfo":{"status":"ok","timestamp":1748782677022,"user_tz":240,"elapsed":17659,"user":{"displayName":"Elad Hazan","userId":"16316235310463925593"}},"outputId":"2b4e075f-36d1-49de-d682-65100536fb5c"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["/content/deluca\n","Obtaining file:///content/deluca\n"," Preparing metadata (setup.py) ... \u001b[?25l\u001b[?25hdone\n","Requirement already satisfied: numpy in /usr/local/lib/python3.11/dist-packages (from deluca==0.0.17) (2.0.2)\n","Requirement already satisfied: scipy in /usr/local/lib/python3.11/dist-packages (from deluca==0.0.17) (1.15.3)\n","Requirement 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kB\u001b[0m \u001b[31m16.4 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n","\u001b[?25hInstalling collected packages: pytinyrenderer, glfw, trimesh, tensorboardx, ml-collections, dm-env, mujoco, flask-cors, mujoco-mjx, jaxopt, brax, deluca\n"," Running setup.py develop for deluca\n","Successfully installed brax-0.12.3 deluca-0.0.17 dm-env-1.6 flask-cors-6.0.0 glfw-2.9.0 jaxopt-0.8.5 ml-collections-1.1.0 mujoco-3.3.2 mujoco-mjx-3.3.2 pytinyrenderer-0.0.14 tensorboardx-2.6.2.2 trimesh-4.6.10\n"]}]},{"cell_type":"markdown","source":["This cell creates an LDS environment and plots the signal with random activations."],"metadata":{"id":"SJ_Hx9Q28jle"}},{"cell_type":"code","source":["#%load_ext autoreload\n","#%autoreload 2\n","import jax\n","import numpy as np\n","import jax.numpy as jnp\n","import matplotlib.pyplot as plt\n","\n","from deluca.core import Env\n","from deluca.core import field\n","from deluca.envs import _lds as lds\n","\n","\n","\n","env = lds.LDS() #LDS with random initiations and dimensions as specified\n","#env = lds.LDS(2,10,3) #LDS with random initiations and dimensions as specified\n","d_obs = 2\n","d_action = 3\n","d_hidden = 10\n","obs = env.init(d_action,d_hidden,d_obs)\n","env.show_me_the_signal(1000)\n"],"metadata":{"id":"NZgnFh7KJoCh","executionInfo":{"status":"ok","timestamp":1748782690699,"user_tz":240,"elapsed":13675,"user":{"displayName":"Elad Hazan","userId":"16316235310463925593"}},"outputId":"f78d9786-1e7e-49a9-a361-b03c76ecdb6c","colab":{"base_uri":"https://localhost:8080/","height":484}},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["the eigenvalues of our system: [ 0.9379067 0.9391432 -0.8867083 -0.88125324 0.92279553 -0.89337987\n"," -0.8875922 0.9275792 0.92987067 -0.8931594 ]\n","trajectory length = 1000\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["Now I'd like to plot the signal with different activations, but instead of a build in function, i want to use agents."],"metadata":{"id":"1ryBUW4q8r9Y"}},{"cell_type":"code","source":["%load_ext autoreload\n","%autoreload 2\n","from deluca.core import Agent\n","from deluca.agents._grc import GRC\n","from deluca.agents._random import SimpleRandom\n","from deluca.agents._lqg import LQG\n","from deluca.agents._zero import Zero\n","from deluca.agents._sfc import SFC\n","\n","\n","\n","def plot_lds_with_a_given_agent(env, agent, name_of_agent, traj_length = 1000, window_size=50):\n"," obs = np.zeros(shape = (d_obs,1))\n"," action = agent(obs)\n"," losses = np.zeros(traj_length)\n"," window_losses = np.zeros(traj_length - window_size)\n","\n"," for i in range(traj_length):\n"," obs = env(action)\n"," action = agent(obs)\n"," losses[i] = obs[0,0] # first coordinate of the observation\n"," agent.update(obs,action)\n"," if i >= window_size - 1:\n"," window_losses[i-window_size] = np.mean(losses[i - window_size + 1 : i + 1])\n","\n"," plt.plot(window_losses)\n"," plt.xlabel('Time step (sliding window)')\n"," plt.ylabel('Loss')\n"," plt.title(f\"Loss of {name_of_agent} on LDS\")\n"," plt.show()\n","\n","\n","\n","env = lds.LDS() #LDS with random initiations and dimensions as specified\n","d_obs = 2\n","d_action = 3\n","d_hidden = 10\n","obs = env.init(d_action,d_hidden,d_obs)\n","\n","fig, axes = plt.subplots(2, 2, figsize=(12, 8))\n","axes = axes.flatten()\n","\n","agent = GRC(env.A,env.B,env.C)\n","agent.init()\n","plot_lds_with_a_given_agent(env,agent, \"GRC\")\n","\n","agent = SimpleRandom(d_action)\n","agent.init()\n","plot_lds_with_a_given_agent(env,agent, \"Random agent\")\n","\n","agent = Zero(d_action)\n","agent.init(d_action)\n","plot_lds_with_a_given_agent(env,agent, \"Zero agent\")\n","\n","agent = SFC(env.A,env.B,env.C)\n","agent.init()\n","plot_lds_with_a_given_agent(env,agent, \"SFC\")\n","\n"],"metadata":{"id":"c5XvfPmAq7Li","colab":{"base_uri":"https://localhost:8080/","height":1000},"executionInfo":{"status":"error","timestamp":1748785108362,"user_tz":240,"elapsed":7315,"user":{"displayName":"Elad Hazan","userId":"16316235310463925593"}},"outputId":"7c1c9ad8-04fa-4fe5-9283-b5d6cfd49e8c"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stderr","text":["[autoreload of deluca.agents._random failed: Traceback (most recent call last):\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 245, in check\n"," superreload(m, reload, self.old_objects)\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 410, in superreload\n"," update_generic(old_obj, new_obj)\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 347, in update_generic\n"," update(a, b)\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 302, in update_class\n"," if update_generic(old_obj, new_obj): continue\n"," ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 347, in update_generic\n"," update(a, b)\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 266, in update_function\n"," setattr(old, name, getattr(new, name))\n","ValueError: __setattr__() requires a code object with 0 free vars, not 2\n","]\n","[autoreload of deluca.agents._zero failed: Traceback (most recent call last):\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 245, in check\n"," superreload(m, reload, self.old_objects)\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 410, in superreload\n"," update_generic(old_obj, new_obj)\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 347, in update_generic\n"," update(a, b)\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 302, in update_class\n"," if update_generic(old_obj, new_obj): continue\n"," ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 347, in update_generic\n"," update(a, b)\n"," File \"/usr/local/lib/python3.11/dist-packages/IPython/extensions/autoreload.py\", line 266, in update_function\n"," setattr(old, name, getattr(new, name))\n","ValueError: __setattr__() requires a code object with 0 free vars, not 2\n","]\n"]},{"output_type":"stream","name":"stdout","text":["The autoreload extension is already loaded. To reload it, use:\n"," %reload_ext autoreload\n","the eigenvalues of our system: [ 0.9379067 0.9391432 -0.8867083 -0.88125324 0.92279553 -0.89337987\n"," -0.8875922 0.9275792 0.92987067 -0.8931594 ]\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["
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'subkey1' is not defined","traceback":["\u001b[0;31m---------------------------------------------------------------------------\u001b[0m","\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)","\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 50\u001b[0m \u001b[0mplot_lds_with_a_given_agent\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0menv\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0magent\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"Zero agent\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 51\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 52\u001b[0;31m \u001b[0magent\u001b[0m \u001b[0;34m=\u001b[0m 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decay)\u001b[0m\n\u001b[1;32m 87\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mt\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 88\u001b[0m \u001b[0msubkey_1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msubkey2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mjax\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrandom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msplit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 89\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mM\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0minit_scale\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mjax\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrandom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnormal\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msubkey1\u001b[0m\u001b[0;34m,\u001b[0m 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window_size)\n","\n"," for i in range(traj_length):\n"," obs = env(action)\n"," action = agent(obs)\n"," losses[i] = obs[0, 0] # first coordinate of the observation\n"," agent.update(obs, action)\n"," if i >= window_size - 1:\n"," window_losses[i - window_size] = np.mean(losses[i - window_size + 1: i + 1])\n","\n"," ax.plot(window_losses)\n"," ax.set_xlabel('Time step (sliding window)')\n"," ax.set_ylabel('Loss')\n"," ax.set_title(f\"Loss of {name_of_agent} on LDS\")\n","\n","\n","env = lds.LDS() # LDS with random initiations and dimensions as specified\n","d_obs = 2\n","d_action = 3\n","d_hidden = 10\n","obs = env.init(d_action, d_hidden, d_obs)\n","\n","fig, axes = plt.subplots(2, 2, figsize=(12, 8))\n","axes = axes.flatten()\n","\n","agent = GRC(env.A, env.B, env.C)\n","agent.init()\n","plot_lds_with_a_given_agent(env, agent, \"GRC\", ax=axes[0])\n","\n","agent = SimpleRandom(d_action)\n","agent.init()\n","plot_lds_with_a_given_agent(env, agent, \"Random agent\", ax=axes[1])\n","\n","agent = Zero(d_action)\n","agent.init(d_action)\n","plot_lds_with_a_given_agent(env, agent, \"Zero agent\", ax=axes[2])\n","\n","#agent = SFC(env.A, env.B, env.C)\n","#agent.init()\n","plot_lds_with_a_given_agent(env, agent, \"SFC\", ax=axes[3])\n","\n","plt.tight_layout()\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":702},"id":"3VhZKqj6nOaN","executionInfo":{"status":"ok","timestamp":1748785326327,"user_tz":240,"elapsed":6794,"user":{"displayName":"Elad Hazan","userId":"16316235310463925593"}},"outputId":"17bb5f13-54bc-45f5-da82-f0aa85a6a0ca"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["The autoreload extension is already loaded. To reload it, use:\n"," %reload_ext autoreload\n","the eigenvalues of our system: [ 0.9379067 0.9391432 -0.8867083 -0.88125324 0.92279553 -0.89337987\n"," -0.8875922 0.9275792 0.92987067 -0.8931594 ]\n"]},{"output_type":"display_data","data":{"text/plain":["
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\ No newline at end of file From caa7de018341a53cf09a8b8ceb36be105ca64708 Mon Sep 17 00:00:00 2001 From: Elad Hazan Date: Mon, 2 Jun 2025 15:54:39 -0400 Subject: [PATCH 3/3] Update core.py just changed comments to reflect that now we have env returning observations and not states. States are hidden. --- deluca/core.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/deluca/core.py b/deluca/core.py index a93467b..2c345bc 100644 --- a/deluca/core.py +++ b/deluca/core.py @@ -112,11 +112,11 @@ class Env(Obj): @abstractmethod def init(self): - """Return an initialized state""" + """Return an initial observation""" @abstractmethod def __call__(self, state, action, *args, **kwargs): - """Return an updated state""" + """Return an updated observation after taking input action""" class AgentState(Obj):