{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# OPTaaS: Surrogate Visualization\n", "\n", "The surrogate model is what the optimizer *thinks* the scoring function looks like. It is part of the mechanism used to choose optimal configurations.\n", "\n", "You may wish to see a visualization of this surrogate model, to identify areas of interest, and to gain further insights into your problem.\n", "\n", "First, create and run a simple optimization task..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run a simple task on 3D optimizing a cubic well\n", "Follow a similar pattern to previous tutorials" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running task \"Basic 2D Example\" for 15 iterations\n", "(no score threshold set)\n", "\n", "Iteration: 0 Score: 0.75\n", "Configuration: {'x': 0.5, 'y': 0.5, 'z': 0.5}\n", "\n", "Iteration: 1 Score: 3.1875\n", "Configuration: {'x': 1.25, 'y': -0.25, 'z': 1.25}\n", "\n", "Iteration: 2 Score: 1.6875\n", "Configuration: {'x': -0.25, 'y': 1.25, 'z': -0.25}\n", "\n", "Iteration: 3 Score: 0.796875\n", "Configuration: {'x': 0.875, 'y': 0.125, 'z': 0.125}\n", "\n", "Iteration: 4 Score: 5.671875\n", "Configuration: {'x': -0.625, 'y': 1.625, 'z': 1.625}\n", "\n", "Iteration: 5 Score: 1.171875\n", "Configuration: {'x': 0.125, 'y': -0.625, 'z': 0.875}\n", "\n", "Iteration: 6 Score: 3.796875\n", "Configuration: {'x': 1.625, 'y': 0.875, 'z': -0.625}\n", "\n", "Iteration: 7 Score: 0.19921875\n", "Configuration: {'x': -0.0625, 'y': -0.0625, 'z': -0.4375}\n", "\n", "Iteration: 8 Score: 5.26171875\n", "Configuration: {'x': 1.4375, 'y': 1.4375, 'z': 1.0625}\n", "\n", "Iteration: 9 Score: 4.41796875\n", "Configuration: {'x': 0.6875, 'y': -0.8125, 'z': 1.8125}\n", "\n", "Iteration: 10 Score: 2.1416231638997303\n", "Configuration: {'x': -1.0, 'y': -1.0, 'z': -0.3763285318703997}\n", "\n", "Iteration: 11 Score: 0.07224756062593388\n", "Configuration: {'x': -0.15358057947390724, 'y': 0.051654822557519076, 'z': 0.21445826060318582}\n", "\n", "Iteration: 12 Score: 1.585370029220068\n", "Configuration: {'x': 0.5781886651756702, 'y': -1.0, 'z': -0.5010667587083032}\n", "\n", "Iteration: 13 Score: 0.04645088742737861\n", "Configuration: {'x': 0.18841467977606535, 'y': -0.07739726804751215, 'z': 0.0704305244268628}\n", "\n", "Iteration: 14 Score: 0.03464246741630048\n", "Configuration: {'x': 0.037689770180478206, 'y': 0.17555876132411052, 'z': -0.0490007138967099}\n", "\n", "Task Completed\n", "\n", "Best Result: { 'configuration': { 'type': 'exploitation',\n", " 'values': { 'x': 0.037689770180478206,\n", " 'y': 0.17555876132411052,\n", " 'z': -0.0490007138967099}},\n", " 'score': 0.03464246741630048,\n", " 'user_defined_data': None}\n" ] } ], "source": [ "## Connect to OPTaaS using your API Key\n", "from mindfoundry.optaas.client.client import OPTaaSClient\n", "client = OPTaaSClient('https://optaas.mindfoundry.ai', '')\n", "\n", "## Create task\n", "from mindfoundry.optaas.client.parameter import FloatParameter\n", "from mindfoundry.optaas.client.client import Goal\n", "\n", "task = client.create_task(\n", " title='Basic 2D Example',\n", " parameters=[\n", " FloatParameter('x', minimum=-1, maximum=2),\n", " FloatParameter('y', minimum=-1, maximum=2),\n", " FloatParameter('z', minimum=-1, maximum=2)\n", " ],\n", " goal=Goal.min,\n", ")\n", "\n", "## Define the scoring function\n", "def scoring_function(x, y, z):\n", " ''' A simple well with min at 0, 0, 0'''\n", " score = x**2 + y**2 + z**2\n", " return score\n", "\n", "## Run the task\n", "best_result = task.run(scoring_function, max_iterations=15)\n", "print(\"Best Result:\", best_result)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing the surrogate\n", "We will plot a representation of the surrogate model. We do this in three steps:\n", " \n", "- Create a large number of random configurations and the surrogate predictions for them\n", "- Project them onto a 2D space\n", "- Plot mean and variance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate 500 random configurations" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "random_configs_values = [{'x': np.random.uniform(-1, 2), \n", " 'y': np.random.uniform(-1, 2),\n", " 'z': np.random.uniform(-1, 2)} for _ in range(500)]\n", "\n", "predictions = task.get_surrogate_predictions(random_configs_values)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Project onto 2D space using PCA\n", "The problem exists in 3 dimensions, which is unwieldy to plot. Use PCA projection to reduce dimensionality." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition.pca import PCA\n", "\n", "surrogate_X = [[c['x'], c['y'], c['z']] for c in random_configs_values]\n", "\n", "pca = PCA(n_components=2)\n", "surrogate_projected = pca.fit_transform(surrogate_X)\n", "\n", "mean = [p.mean for p in predictions]\n", "var = [p.variance for p in predictions]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now calculate the projection of the evaluation points" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "results = task.get_results()\n", "\n", "evaluations_config_values = [r.configuration.values for r in results]\n", "evaluations_score = [r.score for r in results]\n", "\n", "evaluations_X = [[c['x'], c['y'], c['z']] for c in evaluations_config_values]\n", "evaluations_projected = pca.transform(evaluations_X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the projected points" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "from matplotlib import pyplot as plt\n", "plt.figure(figsize=(16,8))\n", "plt.scatter(x=surrogate_projected[:, 0], y=surrogate_projected[:, 1], cmap='inferno', c=mean, marker='.', label='Random surrogate points', linewidths=0.5)\n", "cbar = plt.colorbar()\n", "cbar.set_label('Surrogate prediction')\n", "\n", "plt.scatter(x=evaluations_projected[:, 0], y=evaluations_projected[:, 1], label='Evaluations', marker='x', s=50)\n", "plt.xlabel('1st PCA component')\n", "plt.ylabel('2nd PCA component')\n", "\n", "plt.title('2D projection of the parameter space')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Want to know more?\n", "Here's an article we wrote on how the surrogate works: https://towardsdatascience.com/the-intuitions-behind-bayesian-optimization-with-gaussian-processes-7e00fcc898a0" ] } ], "metadata": { "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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }