{ "cells": [ { "cell_type": "markdown", "id": "5352519e-5786-4c9f-8931-b93f07ea882d", "metadata": {}, "source": [ "## Evolutionary Strategies\n", "\n", "Here, we will use evolutionary strategies to optimise the x and y parameters of the Ackley multimodal function. The Ackley function has a single global optima at [0, 0] and multiple local optima. We will look at the function with x and y in the range [-5, 5]." ] }, { "cell_type": "code", "execution_count": 1, "id": "2951d71a-9832-4fe3-9104-f21f46f88344", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ackley multimodal function\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Ackley function\n", "def objective(x, y):\n", " return -20.0 * np.exp(-0.2 * np.sqrt(0.5 * (x**2 + y**2))) - np.exp(0.5 * (np.cos(2 * np.pi * x) + np.cos(2 * np.pi * y))) + np.e + 20\n", "\n", "# define range for input\n", "r_min, r_max = -5.0, 5.0\n", "# sample input range uniformly at 0.1 increments\n", "xaxis = np.arange(r_min, r_max, 0.1)\n", "yaxis = np.arange(r_min, r_max, 0.1)\n", "# create a mesh from the axis\n", "x, y = np.meshgrid(xaxis, yaxis)\n", "# compute targets\n", "results = objective(x, y)\n", "# create a surface plot with the jet color scheme\n", "fig = plt.figure()\n", "ax = fig.add_subplot(projection='3d')\n", "surf = ax.plot_surface(x, y, results, cmap='jet')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "377a367d-9bc6-4745-a5d7-95b6c48317e0", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }