{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Black-box Vector Optimization on Continuous Domains using VOGP\n", "This notebook contains a vector optimization example. We use VOGP_AD algorithm to work in a continuous domain using adaptive discretization." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from copy import deepcopy\n", "\n", "import numpy as np\n", "\n", "from vopy.algorithms import VOGP_AD\n", "from vopy.order import ConeTheta2DOrder\n", "from vopy.utils import set_seed, unnormalize\n", "from vopy.maximization_problem import get_continuous_problem\n", "from vopy.utils.evaluate import calculate_hypervolume_discrepancy_for_model\n", "\n", "set_seed(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create an `Order` object and visualize it's cone." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "order = ConeTheta2DOrder(cone_degree=70)\n", "fig_cone = order.ordering_cone.plot()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Some algorithm parameters\n", "epsilon = 0.01\n", "delta = 0.05\n", "noise_var = 1e-5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define an instance of `BraninCurrin` problem and visualize a sample Pareto front." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "problem_name = \"BraninCurrin\"\n", "problem = get_continuous_problem(problem_name, noise_var=noise_var)\n", "\n", "sample_size = 200\n", "sample_X = unnormalize(np.random.rand(sample_size, problem.in_dim), problem.bounds)\n", "sample_Y = problem.evaluate(sample_X, noisy=False)\n", "\n", "fig_pareto = order.plot_pareto_set(sample_Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Run the `VOGP_AD` algorithm until the end, it could take a couple of minutes." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "algorithm = VOGP_AD(\n", " epsilon=epsilon,\n", " delta=delta,\n", " problem=problem,\n", " order=order,\n", " noise_var=noise_var,\n", " conf_contraction=32,\n", ")\n", "\n", "while True:\n", " is_done = algorithm.run_one_step()\n", "\n", " if is_done:\n", " break" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now visualize the adaptively discretized domain. Note that this depends on the `max_depth` attribute of the `problem`." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = algorithm.design_space.visualize_design_space()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we calculate the log hypervolume (HV) discrepancy of the resulting models predictions." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-1.9115855984158816\n" ] } ], "source": [ "log_hv_discrepancy = calculate_hypervolume_discrepancy_for_model(order, problem, algorithm.model)\n", "print(log_hv_discrepancy)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate a random set of inputs and visualize the true Pareto front." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = unnormalize(np.random.rand(sample_size, problem.in_dim), problem.bounds)\n", "\n", "f = problem.evaluate(x, noisy=False)\n", "y, _ = algorithm.model.predict(x)\n", "\n", "fig_pareto = order.plot_pareto_set(f)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the same random set of inputs, visualize the model predicted Pareto front." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pred_pareto_indices = order.get_pareto_set(y)\n", "\n", "tmp_pareto_fig = deepcopy(fig_pareto)\n", "tmp_pareto_fig.axes[0].scatter(\n", " f[pred_pareto_indices][:, 0],\n", " f[pred_pareto_indices][:, 1],\n", " c=\"tab:red\", label=\"Predicted Pareto\", alpha=0.5, marker=\"^\"\n", ")\n", "tmp_pareto_fig.axes[0].legend()\n", "tmp_pareto_fig" ] } ], "metadata": { "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 2 }