{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Multi-Objective Algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we will use the Reference Vector Guided Evolutionary Algorithm (**RVEA**) to find the optimal solutions of the **DTLZ2** problem." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import time\n", "import torch\n", "\n", "from evox.algorithms import RVEA\n", "from evox.metrics import igd\n", "from evox.problems.numerical import DTLZ2\n", "from evox.workflows import StdWorkflow, EvalMonitor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (Optional) Use GPU to run the code\n", "We often prefer to run our code on a GPU for faster execution. However, if a GPU is unavailable, running on a CPU is also acceptable." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cuda:0\n" ] } ], "source": [ "# Use GPU first to run the code.\n", "torch.set_default_device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n", "print(torch.get_default_device())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running example: RVEA on DTLZ2 problem\n", "The following code is used to set up the [`DTLZ2`](#evox.problems.numerical.dtlz) problem and the [`RVEA`](#evox.algorithms.mo.rvea) algorithm. More information about the problem and algorithm can be found in the corresponding section of the documentation." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Init the problem, algorithm and workflow.\n", "prob = DTLZ2(m=3)\n", "pf = prob.pf()\n", "algo = RVEA(pop_size=100, n_objs=3, lb=-torch.zeros(12), ub=torch.ones(12))\n", "monitor = EvalMonitor()\n", "workflow = StdWorkflow(algo, prob, monitor)\n", "compiled_step = torch.compile(workflow.step)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this setup in place, we can now start to optimize. We set to let the multi-objective algorithm optimize for 100 steps on this problem" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor(0.4903, device='cuda:0')\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "tensor(0.1677, device='cuda:0')\n", "tensor(0.0829, device='cuda:0')\n", "tensor(0.0609, device='cuda:0')\n", "tensor(0.0574, device='cuda:0')\n", "tensor(0.0563, device='cuda:0')\n", "tensor(0.0554, device='cuda:0')\n", "tensor(0.0550, device='cuda:0')\n", "tensor(0.0547, device='cuda:0')\n", "tensor(0.0545, device='cuda:0')\n" ] } ], "source": [ "# Run the workflow for 100 steps\n", "t = time.time()\n", "workflow.init_step()\n", "for i in range(100):\n", " compiled_step()\n", " fit = workflow.algorithm.fit\n", " fit = fit[~torch.isnan(fit).any(dim=1)]\n", " if i % 10 == 0:\n", " print(igd(fit, pf))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": 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