{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 5 Minute Introduction into Emukit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial we will use Emukit in the simplest way possible, just to start looking around and understanding how Emukit components fit together." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "from emukit.model_wrappers import SimpleGaussianProcessModel\n", "from emukit.experimental_design.experimental_design_loop import ExperimentalDesignLoop\n", "from emukit.core import ParameterSpace, ContinuousParameter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's assume we have built a Gaussian Process to model some function that we would like to understand. In this toy example we will use `sin(x)`, but of course the actual objective function can be much more complex." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "x_min = -30.0\n", "x_max = 30.0\n", "\n", "X = np.random.uniform(x_min, x_max, (10, 1))\n", "Y = np.sin(X) + np.random.randn(10, 1) * 0.05\n", "gp_model = SimpleGaussianProcessModel(X, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we would like to collect more data about this function's behavior. Normally this function would be very expensive or time consuming to evaluate, so we cannot just run it for every possible input. Thus we need to have a reasonable approximation which allows us to collect as few points as possible. For that we will use Emukit's experimental design module." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we will need to turn our model into something Emukit is capable of working with. Emukit comes with several ready-made model wrappers GPs that are showcased in other tutorials. Here we are using a simple model already provided by Emukit, so no wrapping is necessary." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next step is to describe your parameter space. In our case this is just one continuous variable." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "p = ContinuousParameter('c', x_min, x_max)\n", "space = ParameterSpace([p])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point we have everything we need to run the experimental design loop with Emukit." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "loop = ExperimentalDesignLoop(space, gp_model)\n", "loop.run_loop(np.sin, 30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After the loop is run its results are available as the loop state. Let's plot it alongside the original function." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "real_x = np.arange(x_min, x_max, 0.2)\n", "real_y = np.sin(real_x)\n", "\n", "plt.title('Learning function sin(x) with Emukit')\n", "plt.xlabel('x')\n", "plt.ylabel('y', rotation=None)\n", "plt.plot(real_x, real_y, c='r')\n", "plt.scatter(loop.loop_state.X[:, 0].tolist(), loop.loop_state.Y[:, 0].tolist());\n", "plt.legend(['True function', 'Acquired datapoints'], loc='lower right');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the trained model, to see how well it learned the function." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "predicted_y = []\n", "predicted_std = []\n", "for x in real_x:\n", " y, var = gp_model.predict(np.array([[x]]))\n", " std = np.sqrt(var)\n", " predicted_y.append(y)\n", " predicted_std.append(std)\n", "\n", "predicted_y = np.array(predicted_y).flatten()\n", "predicted_std = np.array(predicted_std).flatten()\n", " \n", "plt.title('Learning function sin(x) with Emukit')\n", "plt.xlabel('x')\n", "plt.ylabel('y', rotation=None)\n", "plt.plot(real_x, real_y, c='r', )\n", "plt.plot(real_x, predicted_y)\n", "plt.legend(['True function', 'Estimated function'], loc='lower right')\n", "plt.fill_between(real_x, predicted_y - 2 * predicted_std, predicted_y + 2 * predicted_std, alpha=.5);" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 2 }