{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Loop API Example on Hartmann6\n", "\n", "The loop API is the most lightweight way to do optimization in Ax. The user makes one call to `optimize`, which performs all of the optimization under the hood and returns the optimized parameters.\n", "\n", "For more customizability of the optimization procedure, consider the Service or Developer API." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-09-28T16:12:27.794483Z", "iopub.status.busy": "2022-09-28T16:12:27.794025Z", "iopub.status.idle": "2022-09-28T16:12:30.163360Z", "shell.execute_reply": "2022-09-28T16:12:30.162585Z" } }, "outputs": [ { "data": { "text/html": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.utils.notebook.plotting: Injecting Plotly library into cell. Do not overwrite or delete cell.\n" ] }, { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "from ax.plot.contour import plot_contour\n", "from ax.plot.trace import optimization_trace_single_method\n", "from ax.service.managed_loop import optimize\n", "from ax.metrics.branin import branin\n", "from ax.utils.measurement.synthetic_functions import hartmann6\n", "from ax.utils.notebook.plotting import render, init_notebook_plotting\n", "\n", "init_notebook_plotting()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Define evaluation function\n", "\n", "First, we define an evaluation function that is able to compute all the metrics needed for this experiment. This function needs to accept a set of parameter values and can also accept a weight. It should produce a dictionary of metric names to tuples of mean and standard error for those metrics." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "execution": { "iopub.execute_input": "2022-09-28T16:12:30.221902Z", "iopub.status.busy": "2022-09-28T16:12:30.221016Z", "iopub.status.idle": "2022-09-28T16:12:30.225651Z", "shell.execute_reply": "2022-09-28T16:12:30.224975Z" } }, "outputs": [], "source": [ "def hartmann_evaluation_function(parameterization):\n", " x = np.array([parameterization.get(f\"x{i+1}\") for i in range(6)])\n", " # In our case, standard error is 0, since we are computing a synthetic function.\n", " return {\"hartmann6\": (hartmann6(x), 0.0), \"l2norm\": (np.sqrt((x ** 2).sum()), 0.0)}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If there is only one metric in the experiment – the objective – then evaluation function can return a single tuple of mean and SEM, in which case Ax will assume that evaluation corresponds to the objective. It can also return only the mean as a float, in which case Ax will treat SEM as unknown and use a model that can infer it. For more details on evaluation function, refer to the \"Trial Evaluation\" section in the docs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Run optimization\n", "The setup for the loop is fully compatible with JSON. The optimization algorithm is selected based on the properties of the problem search space." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-09-28T16:12:30.228703Z", "iopub.status.busy": "2022-09-28T16:12:30.228481Z", "iopub.status.idle": "2022-09-28T16:15:04.551460Z", "shell.execute_reply": "2022-09-28T16:15:04.550826Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x2. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x3. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x4. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x5. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x6. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.utils.instantiation: Created search space: SearchSpace(parameters=[RangeParameter(name='x1', parameter_type=FLOAT, range=[0.0, 1.0]), RangeParameter(name='x2', parameter_type=FLOAT, range=[0.0, 1.0]), RangeParameter(name='x3', parameter_type=FLOAT, range=[0.0, 1.0]), RangeParameter(name='x4', parameter_type=FLOAT, range=[0.0, 1.0]), RangeParameter(name='x5', parameter_type=FLOAT, range=[0.0, 1.0]), RangeParameter(name='x6', parameter_type=FLOAT, range=[0.0, 1.0])], parameter_constraints=[ParameterConstraint(1.0*x1 + 1.0*x2 <= 20.0)]).\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.modelbridge.dispatch_utils: Using Bayesian optimization since there are more ordered parameters than there are categories for the unordered categorical parameters.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.modelbridge.dispatch_utils: Using Bayesian Optimization generation strategy: GenerationStrategy(name='Sobol+GPEI', steps=[Sobol for 12 trials, GPEI for subsequent trials]). Iterations after 12 will take longer to generate due to model-fitting.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Started full optimization with 30 steps.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 1...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/runner/work/Ax/Ax/ax/core/observation.py:274: FutureWarning:\n", "\n", "In a future version of pandas, a length 1 tuple will be returned when iterating over a groupby with a grouper equal to a list of length 1. Don't supply a list with a single grouper to avoid this warning.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 2...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 3...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 4...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 5...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 6...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 7...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 8...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 9...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 10...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 11...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 12...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:12:30] ax.service.managed_loop: Running optimization trial 13...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:306: RuntimeWarning:\n", "\n", "Optimization failed in `gen_candidates_scipy` with the following warning(s):\n", "[OptimizationWarning('Optimization failed within `scipy.optimize.minimize` with status 9.')]\n", "Trying again with a new set of initial conditions.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:328: RuntimeWarning:\n", "\n", "Optimization failed on the second try, after generating a new set of initial conditions.\n", "\n", "[INFO 09-28 16:12:42] ax.service.managed_loop: Running optimization trial 14...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:306: RuntimeWarning:\n", "\n", "Optimization failed in `gen_candidates_scipy` with the following warning(s):\n", "[OptimizationWarning('Optimization failed within `scipy.optimize.minimize` with status 9.')]\n", "Trying again with a new set of initial conditions.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:328: RuntimeWarning:\n", "\n", "Optimization failed on the second try, after generating a new set of initial conditions.\n", "\n", "[INFO 09-28 16:12:55] ax.service.managed_loop: Running optimization trial 15...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:306: RuntimeWarning:\n", "\n", "Optimization failed in `gen_candidates_scipy` with the following warning(s):\n", "[OptimizationWarning('Optimization failed within `scipy.optimize.minimize` with status 9.')]\n", "Trying again with a new set of initial conditions.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:328: RuntimeWarning:\n", "\n", "Optimization failed on the second try, after generating a new set of initial conditions.\n", "\n", "[INFO 09-28 16:13:08] ax.service.managed_loop: Running optimization trial 16...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:306: RuntimeWarning:\n", "\n", "Optimization failed in `gen_candidates_scipy` with the following warning(s):\n", "[OptimizationWarning('Optimization failed within `scipy.optimize.minimize` with status 9.')]\n", "Trying again with a new set of initial conditions.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:328: RuntimeWarning:\n", "\n", "Optimization failed on the second try, after generating a new set of initial conditions.\n", "\n", "[INFO 09-28 16:13:20] ax.service.managed_loop: Running optimization trial 17...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:306: RuntimeWarning:\n", "\n", "Optimization failed in `gen_candidates_scipy` with the following warning(s):\n", "[OptimizationWarning('Optimization failed within `scipy.optimize.minimize` with status 9.')]\n", "Trying again with a new set of initial conditions.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:328: RuntimeWarning:\n", "\n", "Optimization failed on the second try, after generating a new set of initial conditions.\n", "\n", "[INFO 09-28 16:13:32] ax.service.managed_loop: Running optimization trial 18...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:306: RuntimeWarning:\n", "\n", "Optimization failed in `gen_candidates_scipy` with the following warning(s):\n", "[OptimizationWarning('Optimization failed within `scipy.optimize.minimize` with status 9.')]\n", "Trying again with a new set of initial conditions.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:328: RuntimeWarning:\n", "\n", "Optimization failed on the second try, after generating a new set of initial conditions.\n", "\n", "[INFO 09-28 16:13:44] ax.service.managed_loop: Running optimization trial 19...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:306: RuntimeWarning:\n", "\n", "Optimization failed in `gen_candidates_scipy` with the following warning(s):\n", "[OptimizationWarning('Optimization failed within `scipy.optimize.minimize` with status 9.')]\n", "Trying again with a new set of initial conditions.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:328: RuntimeWarning:\n", "\n", "Optimization failed on the second try, after generating a new set of initial conditions.\n", "\n", "[INFO 09-28 16:13:56] ax.service.managed_loop: Running optimization trial 20...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:306: RuntimeWarning:\n", "\n", "Optimization failed in `gen_candidates_scipy` with the following warning(s):\n", "[OptimizationWarning('Optimization failed within `scipy.optimize.minimize` with status 9.')]\n", "Trying again with a new set of initial conditions.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:328: RuntimeWarning:\n", "\n", "Optimization failed on the second try, after generating a new set of initial conditions.\n", "\n", "[INFO 09-28 16:14:08] ax.service.managed_loop: Running optimization trial 21...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:306: RuntimeWarning:\n", "\n", "Optimization failed in `gen_candidates_scipy` with the following warning(s):\n", "[OptimizationWarning('Optimization failed within `scipy.optimize.minimize` with status 9.')]\n", "Trying again with a new set of initial conditions.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.8.14/x64/lib/python3.8/site-packages/botorch/optim/optimize.py:328: RuntimeWarning:\n", "\n", "Optimization failed on the second try, after generating a new set of initial conditions.\n", "\n", "[INFO 09-28 16:14:19] ax.service.managed_loop: Running optimization trial 22...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:14:24] ax.service.managed_loop: Running optimization trial 23...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:14:29] ax.service.managed_loop: Running optimization trial 24...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:14:34] ax.service.managed_loop: Running optimization trial 25...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:14:39] ax.service.managed_loop: Running optimization trial 26...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:14:44] ax.service.managed_loop: Running optimization trial 27...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:14:48] ax.service.managed_loop: Running optimization trial 28...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:14:54] ax.service.managed_loop: Running optimization trial 29...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-28 16:14:59] ax.service.managed_loop: Running optimization trial 30...\n" ] } ], "source": [ "best_parameters, values, experiment, model = optimize(\n", " parameters=[\n", " {\n", " \"name\": \"x1\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " \"value_type\": \"float\", # Optional, defaults to inference from type of \"bounds\".\n", " \"log_scale\": False, # Optional, defaults to False.\n", " },\n", " {\n", " \"name\": \"x2\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " },\n", " {\n", " \"name\": \"x3\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " },\n", " {\n", " \"name\": \"x4\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " },\n", " {\n", " \"name\": \"x5\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " },\n", " {\n", " \"name\": \"x6\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " },\n", " ],\n", " experiment_name=\"test\",\n", " objective_name=\"hartmann6\",\n", " evaluation_function=hartmann_evaluation_function,\n", " minimize=True, # Optional, defaults to False.\n", " parameter_constraints=[\"x1 + x2 <= 20\"], # Optional.\n", " outcome_constraints=[\"l2norm <= 1.25\"], # Optional.\n", " total_trials=30, # Optional.\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can introspect optimization results:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-09-28T16:15:04.556635Z", "iopub.status.busy": "2022-09-28T16:15:04.555231Z", "iopub.status.idle": "2022-09-28T16:15:04.566949Z", "shell.execute_reply": "2022-09-28T16:15:04.566425Z" } }, "outputs": [ { "data": { "text/plain": [ "{'x1': 0.19372487101765848,\n", " 'x2': 0.17317519181499047,\n", " 'x3': 0.5143756879433657,\n", " 'x4': 0.2769825879747112,\n", " 'x5': 0.31721781462784565,\n", " 'x6': 0.6469683382255459}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_parameters" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2022-09-28T16:15:04.571357Z", "iopub.status.busy": "2022-09-28T16:15:04.570069Z", "iopub.status.idle": "2022-09-28T16:15:04.576709Z", "shell.execute_reply": "2022-09-28T16:15:04.576192Z" } }, "outputs": [ { "data": { "text/plain": [ "{'hartmann6': -3.298383227394422, 'l2norm': 0.9633375165774383}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "means, covariances = values\n", "means" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For comparison, minimum of Hartmann6 is:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2022-09-28T16:15:04.580232Z", "iopub.status.busy": "2022-09-28T16:15:04.579838Z", "iopub.status.idle": "2022-09-28T16:15:04.586033Z", "shell.execute_reply": "2022-09-28T16:15:04.585512Z" } }, "outputs": [ { "data": { "text/plain": [ "-3.32237" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hartmann6.fmin" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Plot results\n", "Here we arbitrarily select \"x1\" and \"x2\" as the two parameters to plot for both metrics, \"hartmann6\" and \"l2norm\"." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2022-09-28T16:15:04.589502Z", "iopub.status.busy": "2022-09-28T16:15:04.589106Z", "iopub.status.idle": "2022-09-28T16:15:05.378915Z", "shell.execute_reply": "2022-09-28T16:15:05.378337Z" } }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "autocolorscale": false, "autocontour": true, "colorbar": { "tickfont": { "size": 8 }, "ticksuffix": "", "x": 0.45, "y": 0.5 }, "colorscale": [ [ 0.0, "rgb(247,252,253)" ], [ 0.125, "rgb(229,245,249)" ], [ 0.25, "rgb(204,236,230)" ], [ 0.375, "rgb(153,216,201)" ], [ 0.5, "rgb(102,194,164)" ], [ 0.625, "rgb(65,174,118)" ], [ 0.75, "rgb(35,139,69)" ], [ 0.875, "rgb(0,109,44)" ], [ 1.0, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# `plot_single_method` expects a 2-d array of means, because it expects to average means from multiple \n", "# optimization runs, so we wrap out best objectives array in another array.\n", "best_objectives = np.array([[trial.objective_mean for trial in experiment.trials.values()]])\n", "best_objective_plot = optimization_trace_single_method(\n", " y=np.minimum.accumulate(best_objectives, axis=1),\n", " optimum=hartmann6.fmin,\n", " title=\"Model performance vs. # of iterations\",\n", " ylabel=\"Hartmann6\",\n", ")\n", "render(best_objective_plot)" ] } ], "metadata": { "kernelspec": { "display_name": "python3", "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": "3.8.14" } }, "nbformat": 4, "nbformat_minor": 2 }