{ "cells": [ { "cell_type": "markdown", "id": "6be356db", "metadata": {}, "source": [ "# How to Benchmark Optimization Algorithms\n", "\n", "Benchmarking optimization algorithms is an important step when developing a new algorithm or when searching for an algorithm that is good at solving a particular problem. \n", "\n", "In general, benchmarking constists of the following steps:\n", "\n", "1. Define the test problems (or get pre-implemented ones)\n", "2. Define the optimization algorithms and the tuning parameters you want to try\n", "3. Run the benchmark\n", "4. Plot the results\n", "\n", "Estimagic helps you with all of these steps!" ] }, { "cell_type": "markdown", "id": "8671802f", "metadata": {}, "source": [ "## 1. Get Test Problems\n", "\n", "Estimagic includes the problems of [Moré and Wild (2009)](https://doi.org/10.1137/080724083) as well as [Cartis and Roberts](https://arxiv.org/abs/1710.11005).\n", "\n", "Each problem consist of the `inputs` (the criterion function and the start parameters) and the `solution` (the optimal parameters and criterion value) and optionally provides more information.\n", "\n", "Below we load a subset of the Moré and Wild problems and look at one particular Rosenbrock problem that has difficult start parameters." ] }, { "cell_type": "code", "execution_count": 1, "id": "83c2f8e4", "metadata": {}, "outputs": [], "source": [ "import estimagic as em" ] }, { "cell_type": "code", "execution_count": 2, "id": "c3640855", "metadata": {}, "outputs": [], "source": [ "problems = em.get_benchmark_problems(\"example\")" ] }, { "cell_type": "markdown", "id": "c628b987", "metadata": {}, "source": [ "## 2. Specify the Optimizers\n", "\n", "To select optimizers you want to benchmark on the set of problems, you can simply specify them as a list. Advanced examples - that do not only compare algorithms but also vary the `algo_options` - can be found below. " ] }, { "cell_type": "code", "execution_count": 3, "id": "2340cd3a", "metadata": {}, "outputs": [], "source": [ "optimizers = [\n", " \"nag_dfols\",\n", " \"scipy_neldermead\",\n", " \"scipy_truncated_newton\",\n", "]" ] }, { "cell_type": "markdown", "id": "9703f954", "metadata": {}, "source": [ "## 3. Run the Benchmark\n", "\n", "Once you have your problems and your optimizers set up, you can simply use `run_benchmark`. The results are a dictionary with one entry for each (problem, algorithm) combination. Each entry not only saves the solution but also the history of the algorithm's criterion and parameter history. " ] }, { "cell_type": "code", "execution_count": 4, "id": "f0ef15da", "metadata": { "scrolled": true }, "outputs": [], "source": [ "results = em.run_benchmark(\n", " problems,\n", " optimizers,\n", ")" ] }, { "cell_type": "markdown", "id": "61c365ab", "metadata": {}, "source": [ "## 4a. Profile plots\n", "\n", "**Profile Plots** compare optimizers over a whole problem set. \n", "\n", "The literature distinguishes **data profiles** and **performance profiles**. Data profiles use a normalized runtime measure whereas performance profiles use an absolute one. The profile plot does not normalize runtime by default. To do this, simply set `normalize_runtime` to True. For background information, check [Moré and Wild (2009)](https://doi.org/10.1137/080724083). " ] }, { "cell_type": "code", "execution_count": 5, "id": "07918672", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = em.profile_plot(\n", " problems=problems,\n", " results=results,\n", ")\n", "\n", "fig.show(renderer=\"png\")" ] }, { "cell_type": "markdown", "id": "4ada4410", "metadata": {}, "source": [ "The x axis shows runtime per problem. The y axis shows the share of problems each algorithm solved within that runtime. Thus, higher and further to the left values are desirable. Higher means more problems were solved and further to the left means, the algorithm found the solutions earlier. \n", "\n", "You can choose:\n", "\n", "- whether to use `n_evaluations` or `walltime` as **`runtime_measure`**\n", "- whether to normalize runtime such that the runtime of each problem is shown as a multiple of the fastest algorithm on that problem\n", "- how to determine when an evaluation is close enough to the optimum to be counted as converged. Convergence is always based on some measure of distance between the true solution and the solution found by an optimizer. Whether distiance is measured in parameter space, function space, or a combination of both can be specified. \n", "\n", "Below, we consider a problem to be solved if the distance between the parameters found by the optimizer and the true solution parameters are at most 0.1% of the distance between the start parameters and true solution parameters. " ] }, { "cell_type": "code", "execution_count": 6, "id": "efc15318", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = em.profile_plot(\n", " problems=problems,\n", " results=results,\n", " runtime_measure=\"n_evaluations\",\n", " stopping_criterion=\"x\",\n", " x_precision=0.001,\n", ")\n", "\n", "fig.show(renderer=\"png\")" ] }, { "cell_type": "markdown", "id": "70744c8b", "metadata": {}, "source": [ "## 4b. Convergence plots\n", "\n", "**Convergence Plots** look at particular problems and show the convergence of each optimizer on each problem. They look similar to what you've seen from estimagic's dashboard." ] }, { "cell_type": "code", "execution_count": 7, "id": "df3dc55b", "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = em.convergence_plot(\n", " problems=problems,\n", " results=results,\n", " n_cols=2,\n", " problem_subset=[\"rosenbrock_good_start\", \"box_3d\"],\n", ")\n", "\n", "fig.show(renderer=\"png\")" ] }, { "cell_type": "markdown", "id": "11d035a2", "metadata": {}, "source": [ "The further to the left and the lower the curve of an algorithm, the better that algorithm performed.\n", "\n", "Often we are more interested in how close each algorithm got to the true solution in parameter space, not in criterion space as above. For this. we simply set the **`distance_measure`** to `parameter_space`. " ] }, { "cell_type": "code", "execution_count": 8, "id": "db2c868c", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = em.convergence_plot(\n", " problems=problems,\n", " results=results,\n", " n_cols=2,\n", " problem_subset=[\"rosenbrock_good_start\", \"box_3d\"],\n", " distance_measure=\"parameter_distance\",\n", " stopping_criterion=\"x\",\n", ")\n", "\n", "fig.show(renderer=\"png\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }