{ "cells": [ { "cell_type": "markdown", "id": "b0ee161c", "metadata": {}, "source": [ "# Single Bayesian Optimization" ] }, { "cell_type": "code", "execution_count": 1, "id": "bc845a87", "metadata": {}, "outputs": [], "source": [ "#!pip install scikit-optimize\n", "#!pip install httpimport\n", "\n", "import numpy as np \n", "import matplotlib.pyplot as plt\n", "#from mod3_gen import *\n", "import httpimport\n", "\n", "url = 'https://raw.githubusercontent.com/cfteach/brds/main/other/mod3_gen.py'\n", "url2 = 'https://raw.githubusercontent.com/cfteach/brds/main/other/' \n", "#with httpimport.remote_repo(url):\n", "# import mod3_gen\n", "module_object = httpimport.load('mod3_gen', url2)\n", "\n", "#load an unknown function... BO is agnostic to what is optimizing... \n", "f = module_object.f_1\n", "print_fun = module_object.print_fun" ] }, { "cell_type": "code", "execution_count": 19, "id": "02281b6c", "metadata": {}, "outputs": [], "source": [ "# uncomment these lines if you want to take a look at the unknown function \n", "#noise_level = 0.1\n", "#print_fun(f, noise_level=noise_level)\n", "\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "91754335", "metadata": {}, "outputs": [], "source": [ "from skopt import gp_minimize\n", "\n", "gp_res = gp_minimize(f, # the function to minimize\n", " [(-2.0, 2.0)], # the bounds on each dimension of x\n", " acq_func=\"EI\", # the acquisition function\n", " n_calls=25, # the number of evaluations of f\n", " n_random_starts=5, # the number of random initialization points\n", " noise=0.1**2, # the noise level (optional)\n", " random_state=1234) # the random seed" ] }, { "cell_type": "code", "execution_count": 6, "id": "ed509dfd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.29561219180149045] -0.9089128846342238\n" ] } ], "source": [ "#\"x^*=%.4f, f(x^*)=%.4f\" % (res.x[0], res.fun)\n", "\n", "#print(res)\n", "\n", "print(gp_res.x, gp_res.fun)" ] }, { "cell_type": "code", "execution_count": 7, "id": "4c2fba73", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from skopt.plots import plot_convergence\n", "plot_convergence(gp_res);" ] }, { "cell_type": "markdown", "id": "a002a607", "metadata": {}, "source": [ "## Internal behavior of BO" ] }, { "cell_type": "code", "execution_count": 8, "id": "718af4bc", "metadata": {}, "outputs": [], "source": [ "from skopt.plots import plot_gaussian_process\n", "\n", "plt.rcParams[\"figure.figsize\"] = (8, 14)\n", "\n", "\n", "def f_wo_noise(x):\n", " return f(x, noise_level=0)" ] }, { "cell_type": "code", "execution_count": 10, "id": "1163261e", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for n_iter in range(5):\n", " # Plot true function.\n", " plt.subplot(5, 2, 2*n_iter+1)\n", "\n", " if n_iter == 0:\n", " show_legend = True\n", " else:\n", " show_legend = False\n", "\n", " ax = plot_gaussian_process(gp_res, n_calls=n_iter,\n", " objective=f_wo_noise,\n", " noise_level=noise_level,\n", " show_legend=show_legend, show_title=False,\n", " show_next_point=False, show_acq_func=False)\n", " ax.set_ylabel(\"\")\n", " ax.set_xlabel(\"\")\n", " # Plot EI(x)\n", " plt.subplot(5, 2, 2*n_iter+2)\n", " ax = plot_gaussian_process(gp_res, n_calls=n_iter,\n", " show_legend=show_legend, show_title=False,\n", " show_mu=False, show_acq_func=True,\n", " show_observations=False,\n", " show_next_point=True)\n", " ax.set_ylabel(\"\")\n", " ax.set_xlabel(\"\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0f3e8941", "metadata": {}, "source": [ "## Compare to Random Search" ] }, { "cell_type": "code", "execution_count": 11, "id": "2622df4c", "metadata": {}, "outputs": [], "source": [ "from skopt import dummy_minimize\n", "\n", "dummy_res = dummy_minimize(f, # the function to minimize\n", " [(-2.0, 2.0)], # the bounds on each dimension of x\n", " n_calls=25, # the number of evaluations of f\n", " random_state=1234) # the random seed" ] }, { "cell_type": "code", "execution_count": 16, "id": "2d4204fd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from skopt.plots import plot_convergence\n", "\n", "plot = plot_convergence((\"dummy_minimize\", dummy_res),\n", " (\"gp_minimize\", gp_res))\n", " #,true_minimum=0.397887)#, yscale=\"log\")\n", "\n", "plot.legend(loc=\"best\", prop={'size': 6}, numpoints=1)" ] }, { "cell_type": "code", "execution_count": null, "id": "07ea48dd", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "jupynb_env_new", "language": "python", "name": "jupynb_env_new" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.6" } }, "nbformat": 4, "nbformat_minor": 5 }