From ba1533d5872944b8a61f8314b0451056d5c5547c Mon Sep 17 00:00:00 2001 From: Vineet Tiruvadi Date: Thu, 7 Apr 2022 14:13:53 -0700 Subject: [PATCH] Created using Colaboratory --- Dynamics_Plotting.ipynb | 240 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 240 insertions(+) create mode 100644 Dynamics_Plotting.ipynb diff --git a/Dynamics_Plotting.ipynb b/Dynamics_Plotting.ipynb new file mode 100644 index 0000000..5c6586a --- /dev/null +++ b/Dynamics_Plotting.ipynb @@ -0,0 +1,240 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "Dynamics Learning (PyTorch)", + "provenance": [], + "collapsed_sections": [], + "authorship_tag": "ABX9TyPYutJfRgyIZ6xCEbsAvp47", + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "t2Id_rMUv9eX", + "outputId": "dbb06ea4-d8cd-4240-91b4-8bb619603e31" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Collecting torchdiffeq\n", + " Downloading torchdiffeq-0.2.2-py3-none-any.whl (31 kB)\n", + "Requirement already satisfied: scipy>=1.4.0 in /usr/local/lib/python3.7/dist-packages (from torchdiffeq) (1.4.1)\n", + "Requirement already satisfied: torch>=1.3.0 in /usr/local/lib/python3.7/dist-packages (from torchdiffeq) (1.10.0+cu111)\n", + "Requirement already satisfied: numpy>=1.13.3 in /usr/local/lib/python3.7/dist-packages (from scipy>=1.4.0->torchdiffeq) (1.21.5)\n", + "Requirement already satisfied: typing-extensions in /usr/local/lib/python3.7/dist-packages (from torch>=1.3.0->torchdiffeq) (3.10.0.2)\n", + "Installing collected packages: torchdiffeq\n", + "Successfully installed torchdiffeq-0.2.2\n" + ] + } + ], + "source": [ + "# Based on: https://github.com/TomJZ/DeepLearningForDynamics-Intuition/RNN_lorenz.ipynb\n", + "\n", + "import torch\n", + "from torch import nn\n", + "import numpy as np\n", + "!pip install torchdiffeq\n", + "from torchdiffeq import odeint\n", + "import matplotlib.pyplot as plt\n", + "device = torch.device('cuda:0' if torch.cuda.is_available() else 'cpu')" + ] + }, + { + "cell_type": "code", + "source": [ + "class FixedPoint(nn.Module):\n", + " def forward(self, t, y):\n", + " return torch.mm(y**3, true_A) # true system derivatives\n", + "\n", + "class Lorenz(nn.Module):\n", + " def __init__(self):\n", + " super(Lorenz, self).__init__()\n", + " self.lin = nn.Linear(5, 3, bias=False)\n", + " W = torch.tensor([[-10., 10., 0., 0., 0.],\n", + " [28., -1., 0., -1., 0.],\n", + " [0., 0., -8. / 3., 0., 1.]])\n", + " self.lin.weight = nn.Parameter(W)\n", + "\n", + " def forward(self, t, x):\n", + " y = y = torch.ones([1, 5])\n", + " y[0][0] = x[0][0]\n", + " y[0][1] = x[0][1]\n", + " y[0][2] = x[0][2]\n", + " y[0][3] = x[0][0] * x[0][2]\n", + " y[0][4] = x[0][0] * x[0][1]\n", + " return self.lin(y)\n" + ], + "metadata": { + "id": "sdgdzAVoy-1u" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "class dyn_sys:\n", + " def __init__(self,sys_class = None):\n", + " # system dynamics\n", + " if sys_class is None:\n", + " raise ValueError(\"Must specify a system class.\")\n", + " \n", + " self.sys_class = sys_class\n", + " self.data_size = 1000\n", + "\n", + "\n", + " def run(self,y_0):\n", + " true_y0 = y_0 # initial condition\n", + " t = torch.linspace(0., 25., self.data_size).to(device) # t is from 0 to 25 for 1000 data points\n", + " true_A = torch.tensor([[-0.1, 2.0], [-2.0, -0.1]]).to(device) # true system dynamics of fixed point\n", + "\n", + " with torch.no_grad():\n", + " true_fixed_point = odeint(self.sys_class(), true_y0, t, method='dopri5')\n", + "\n", + " self.training_y = true_fixed_point\n", + "\n", + " return self\n", + "\n", + " def plot(self):\n", + " true_y = self.training_y\n", + " \n", + " if true_y.shape[0] == 3:\n", + " raise Warning(\"This is a 2d plotting function and there is 3d state.\")\n", + "\n", + " fig = plt.figure(figsize=(12, 4), facecolor='white')\n", + " ax_traj = fig.add_subplot(131, frameon=False)\n", + " ax_phase = fig.add_subplot(132, frameon=False)\n", + " ax_vecfield = fig.add_subplot(133, frameon=False)\n", + " if true_y is not None:\n", + " t = np.arange(len(true_y))\n", + " \n", + " ax_traj.set_title('Trajectories')\n", + " ax_traj.set_xlabel('steps')\n", + " ax_traj.set_ylabel('x,y')\n", + " if true_y is not None:\n", + " ax_traj.plot(t, true_y[:, 0, 0], t, true_y[:, 0, 1], 'g-', label=\"True\")\n", + " \n", + " ax_traj.set_xlim(np.min(t), np.max(t))\n", + " ax_traj.set_ylim(-2, 2)\n", + " ax_traj.legend()\n", + "\n", + " ax_phase.set_title('Phase Portrait')\n", + " ax_phase.set_xlabel('x')\n", + " ax_phase.set_ylabel('y')\n", + " if true_y is not None:\n", + " ax_phase.plot(true_y[:, 0, 0], true_y[:, 0, 1], 'g-', label=\"True\")\n", + " \n", + " ax_phase.set_xlim(-2, 2)\n", + " ax_phase.set_ylim(-2, 2)\n", + " ax_phase.legend()\n", + "\n", + " ax_vecfield.set_title('Learned Vector Field')\n", + " ax_vecfield.set_xlabel('x')\n", + " ax_vecfield.set_ylabel('y')\n", + "\n", + " fig.tight_layout()\n", + " plt.show()" + ], + "metadata": { + "id": "-xl8FLPH2FrR" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "sample_system = dyn_sys(sys_class=FixedPoint)\n", + "sample_system.run(y_0=torch.tensor([[2., 0.]]).to(device)).plot()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 297 + }, + "id": "wGv5cT6mzB1-", + "outputId": "5299241a-502b-40a5-ee71-916a937cac81" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "\n", + "sample_system = dyn_sys(sys_class=Lorenz)\n", + "sample_system.run(y_0=torch.tensor([[-8., 7., 27.]]).to(device)).plot()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 297 + }, + "id": "5cniaIWl2IZW", + "outputId": "70ec590c-9417-4a85-9c80-b2f71699f251" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "" + ], + "metadata": { + "id": "cH77sdye1aCo" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file