{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Teaching Physics to an AI\n", "\n", "In this Notebook, I will run simple physics simulations, and then show how neural networks can be used to \"learn\" or predict future states in the simulation." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "nxOvYXjzZ4uz" }, "outputs": [], "source": [ "import numpy as np\n", "from scipy.integrate import solve_ivp\n", "from scipy.integrate import odeint\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "sns.set()\n", "\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spring Harmonic Oscillator\n", "\n", "$$\n", "F = ma = -kx\n", "$$\n", "\n", "with the initial conditions of $x(0) = 1$ and $v(0) = x^\\prime(0) = 0$.\n", "\n", "\n", "### Computational Solution\n", "\n", "Writing this as an ODE:\n", "$$\n", "x^{\\prime\\prime} = -\\frac{k}{m}x\n", "$$\n", "\n", "Scipy's ODE solver can solve any system of first order ODEs, so we will rewrite this 2nd-order ODE as a system of first-order ODEs:\n", "$$\n", "\\begin{align}\n", "x_1^\\prime &= x_2 \\\\\n", "x_2^\\prime &= -\\frac{k}{m}x_1\n", "\\end{align}\n", "$$\n", "\n", "Now let's code this up in Python." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def spring_odes(X, t, k, m):\n", " x1, x2 = X[0], X[1]\n", " dx1dt = x2\n", " dx2dt = -k/m*x1\n", " return [dx1dt, dx2dt]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "X0 = [1, 0] # initial conditions\n", "t = np.linspace(0, 10, 100)\n", "\n", "k = 1 # spring constant\n", "m = 1 # mass\n", "\n", "sol = odeint(spring_odes, X0, t, args=(k, m))\n", "\n", "# sol contains the solution for x1 and x2, i.e. the position and the velocity" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 336, "width": 498 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,5))\n", "\n", "ax.plot(t, sol[:,0], lw=2)\n", "ax.plot(t, sol[:,1], lw=2)\n", "ax.set_xlabel('Time (s)')\n", "ax.set_title('Spring Harmonic Oscillator')\n", "ax.legend(['Position', 'Velocity'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Neural Network Prediction\n", "\n", "Now let's show a neural network part of the data from this harmonic oscillator and have it try to predict the rest." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "id": "Cvwv0Winbatt" }, "outputs": [], "source": [ "import pandas as pd\n", "\n", "x = sol[:,0]\n", "v = sol[:,1]\n", "a = -k/m * x\n", "\n", "data = pd.DataFrame()\n", "data['t'] = t\n", "data['x'] = x\n", "data['v'] = v\n", "data['a'] = a" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "id": "OF00BpHxlY3M" }, "outputs": [ { "data": { "text/html": [ "
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txva
00.000001.0000000.000000-1.000000
10.101010.994903-0.100838-0.994903
20.202020.979663-0.200649-0.979663
30.303030.954437-0.298414-0.954437
40.404040.919480-0.393137-0.919480
\n", "
" ], "text/plain": [ " t x v a\n", "0 0.00000 1.000000 0.000000 -1.000000\n", "1 0.10101 0.994903 -0.100838 -0.994903\n", "2 0.20202 0.979663 -0.200649 -0.979663\n", "3 0.30303 0.954437 -0.298414 -0.954437\n", "4 0.40404 0.919480 -0.393137 -0.919480" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "markdown", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 419 }, "id": "NI2dGCD2lbWz", "outputId": "9634d4f6-fd96-44bb-e83f-5642c6adfe6b" }, "source": [ "Now add a column containing the spring mass position at time $t+1$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# drop the last row in `data`\n", "data = data.drop(data.index[-1])\n", "\n", "x_next = x[1:]\n", "data['next'] = x_next" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "id": "V0-0eX1BlcI4" }, "outputs": [], "source": [ "X = data[['x', 'v', 'a']].values\n", "y = data['next'].values\n", "\n", "# Split the data into training and test data\n", "split_frac = 0.5\n", "split = int(split_frac * len(data))\n", "\n", "X_train = X[:split]\n", "y_train = y[:split]\n", "\n", "X_test = X[split:]\n", "y_test = y[split:]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "id": "JkMYl1XVmSZk" }, "outputs": [], "source": [ "from sklearn.neural_network import MLPRegressor" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "id": "fiLJ1LOlmS2u" }, "outputs": [ { "data": { "text/plain": [ "MLPRegressor(max_iter=500, random_state=1)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "regr = MLPRegressor(hidden_layer_sizes=(100,),\n", " activation='relu',\n", " solver='adam',\n", " max_iter=500,\n", " random_state=1)\n", "\n", "regr.fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "id": "oZnxw9amnCX6" }, "outputs": [ { "data": { "text/plain": [ "0.9959791495085959" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_pred = regr.predict(X_test)\n", "\n", "regr.score(X_test, y_test)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 282 }, "id": "hSbCdxsanLUF", "outputId": "c63c4576-c98c-43d6-9458-2b2384006216" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 390, "width": 721 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "\n", "t = data['t']\n", "x = data['x']\n", "\n", "ax.plot(t, x, lw=2)\n", "ax.plot(t[split:], y_pred, 'x', lw=2)\n", "ax.axvspan(0, t[split], alpha=0.1, color='green')\n", "ax.set_xlabel('Time (s)')\n", "ax.set_title('Spring Harmonic Oscillator')\n", "ax.legend(['Simulation', 'Prediction', 'Training Data'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Try again with more data" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "MLPRegressor(hidden_layer_sizes=(500,), max_iter=500, random_state=1)" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X0 = [1, 0] # initial conditions\n", "t = np.linspace(0, 20, 1000)\n", "\n", "k = 1 # spring constant\n", "m = 1 # mass\n", "\n", "sol = odeint(spring_odes, X0, t, args=(k, m))\n", "\n", "x = sol[:,0]\n", "v = sol[:,1]\n", "a = -k/m * x\n", "\n", "data = pd.DataFrame()\n", "data['t'] = t\n", "data['x'] = x\n", "data['v'] = v\n", "data['a'] = a\n", "\n", "data = data.drop(data.index[-1])\n", "\n", "x_next = x[1:]\n", "data['next'] = x_next\n", "\n", "X = data[['x', 'v', 'a']].values\n", "y = data['next'].values\n", "\n", "# Split the data into training and test data\n", "split_frac = 0.75\n", "split = int(split_frac * len(data))\n", "\n", "X_train = X[:split]\n", "y_train = y[:split]\n", "\n", "X_test = X[split:]\n", "y_test = y[split:]\n", "\n", "regr = MLPRegressor(hidden_layer_sizes=(500,),\n", " activation='relu',\n", " solver='adam',\n", " max_iter=500,\n", " random_state=1)\n", "\n", "regr.fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9999063927201782" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_pred = regr.predict(X_test)\n", "\n", "regr.score(X_test, y_test)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 390, "width": 721 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "\n", "t = data['t']\n", "x = data['x']\n", "\n", "ax.plot(t, x, lw=2)\n", "ax.plot(t[split:], y_pred, lw=1)\n", "ax.axvspan(0, t[split], alpha=0.1, color='green')\n", "ax.set_xlabel('Time (s)')\n", "ax.set_title('Spring Harmonic Oscillator')\n", "ax.legend(['Simulation', 'Prediction', 'Training Data'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Caveats\n", "\n", "This neural network is very simple. It may not be able to project very far into the future with high accuracy. It likely won't generalize to other values for the mass or spring constant. Our example is a simple harmonic oscillator, with no friction or other dissipative forces. It will continue to oscillate forever with the same period and amplitude. In order to generalize to more complex physics, the neural network will likely also need to be more complex. DeepMind used a graph network architecture." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "colab": { "collapsed_sections": [], "name": "Teaching Physics to a Machine Learning Model", "provenance": [] }, "kernelspec": { "display_name": "Python 3", "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }