{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"originalKey": "e23719d9-8a24-4208-8439-34e7b8270c79"
},
"source": [
"# Visualizations\n",
"\n",
"This tutorial illustrates the core visualization utilities available in Ax."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"code_folding": [],
"collapsed": false,
"executionStartTime": 1627652821316,
"executionStopTime": 1627652822868,
"hidden_ranges": [],
"originalKey": "101b0e96-5b3d-48c5-bf3c-677b4ddf90c7",
"requestMsgId": "c0dd9aaf-896d-4ea9-912f-1e58d301d114"
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] 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",
"from ax.service.ax_client import AxClient\n",
"\n",
"from ax.modelbridge.cross_validation import cross_validate\n",
"from ax.plot.contour import interact_contour\n",
"from ax.plot.diagnostic import interact_cross_validation\n",
"from ax.plot.scatter import(\n",
" interact_fitted,\n",
" plot_objective_vs_constraints,\n",
" tile_fitted,\n",
")\n",
"from ax.plot.slice import plot_slice\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": {
"code_folding": [],
"hidden_ranges": [],
"originalKey": "8449378f-890e-4e76-8d73-ce2aa4120a69",
"showInput": true
},
"source": [
"## 1. Create experiment and run optimization\n",
"\n",
"The vizualizations require an experiment object and a model fit on the evaluated data. The routine below is a copy of the Service API tutorial, so the explanation here is omitted. Retrieving the experiment and model objects for each API paradigm is shown in the respective tutorials"
]
},
{
"cell_type": "markdown",
"metadata": {
"originalKey": "f7544e06-6c6a-4841-b659-3be6a198a948"
},
"source": [
"#### 1a. Define search space and evaluation function"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"code_folding": [],
"collapsed": false,
"executionStartTime": 1627652824829,
"executionStopTime": 1627652824877,
"hidden_ranges": [],
"originalKey": "28f6cb76-828f-445d-bdda-ba057c87dcd0",
"requestMsgId": "7495e7e2-1025-4292-b3aa-e953739cef3e"
},
"outputs": [],
"source": [
"noise_sd = 0.1\n",
"param_names = [f\"x{i+1}\" for i in range(6)] # x1, x2, ..., x6\n",
"\n",
"def noisy_hartmann_evaluation_function(parameterization):\n",
" x = np.array([parameterization.get(p_name) for p_name in param_names])\n",
" noise1, noise2 = np.random.normal(0, noise_sd, 2)\n",
"\n",
" return {\n",
" \"hartmann6\": (hartmann6(x) + noise1, noise_sd),\n",
" \"l2norm\": (np.sqrt((x ** 2).sum()) + noise2, noise_sd)\n",
" }\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"originalKey": "17a51543-298e-47d4-bcd9-33459fe1169e"
},
"source": [
"#### 1b. Create Experiment"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"code_folding": [],
"collapsed": false,
"executionStartTime": 1627654956712,
"executionStopTime": 1627654956823,
"hidden_ranges": [],
"originalKey": "6fca889c-a4ff-42ef-a669-6eb8803de89c",
"requestMsgId": "905eff52-e649-4bd5-abf0-ff69c1549852"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Starting optimization with verbose logging. To disable logging, set the `verbose_logging` argument to `False`. Note that float values in the logs are rounded to 6 decimal points.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x1. 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 12-16 16:45:15] 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 12-16 16:45:15] 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 12-16 16:45:15] 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 12-16 16:45:15] 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 12-16 16:45:15] 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 12-16 16:45:15] 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=[]).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] 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 12-16 16:45:15] 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"
]
}
],
"source": [
"ax_client = AxClient()\n",
"ax_client.create_experiment(\n",
" name=\"test_visualizations\",\n",
" parameters=[\n",
" {\n",
" \"name\": p_name,\n",
" \"type\": \"range\",\n",
" \"bounds\": [0.0, 1.0],\n",
" }\n",
" for p_name in param_names\n",
" ],\n",
" objective_name=\"hartmann6\",\n",
" minimize=True,\n",
" outcome_constraints=[\"l2norm <= 1.25\"]\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"code_folding": [],
"hidden_ranges": [],
"originalKey": "ab892f7c-4830-4c1d-b476-ec1078ec3faf",
"showInput": false
},
"source": [
"#### 1c. Run the optimization and fit a GP on all data"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"code_folding": [],
"collapsed": false,
"executionStartTime": 1627654642967,
"executionStopTime": 1627654862819,
"hidden_ranges": [],
"originalKey": "7269a5ba-45c8-4acf-ac83-a5ea8a52d6c1",
"requestMsgId": "c7a4dea8-fd6d-4e1a-84de-ad973ede0cd7"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 0 with parameters {'x1': 0.732697, 'x2': 0.115858, 'x3': 0.90607, 'x4': 0.628305, 'x5': 0.310364, 'x6': 0.685915}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 0 with data: {'hartmann6': (-0.372856, 0.1), 'l2norm': (1.57252, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 1 with parameters {'x1': 0.702573, 'x2': 0.336146, 'x3': 0.963131, 'x4': 0.329113, 'x5': 0.032429, 'x6': 0.847193}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 1 with data: {'hartmann6': (-0.922581, 0.1), 'l2norm': (1.587003, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 2 with parameters {'x1': 0.892862, 'x2': 0.181469, 'x3': 0.685355, 'x4': 0.568963, 'x5': 0.668424, 'x6': 0.597251}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 2 with data: {'hartmann6': (-0.177051, 0.1), 'l2norm': (1.550515, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 3 with parameters {'x1': 0.288062, 'x2': 0.813712, 'x3': 0.440585, 'x4': 0.197883, 'x5': 0.905678, 'x6': 0.222252}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 3 with data: {'hartmann6': (-0.265073, 0.1), 'l2norm': (1.312058, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 4 with parameters {'x1': 0.385225, 'x2': 0.349598, 'x3': 0.769829, 'x4': 0.629262, 'x5': 0.483992, 'x6': 0.218816}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 4 with data: {'hartmann6': (-0.330339, 0.1), 'l2norm': (1.335786, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 5 with parameters {'x1': 0.325731, 'x2': 0.961827, 'x3': 0.829169, 'x4': 0.328541, 'x5': 0.078198, 'x6': 0.442173}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 5 with data: {'hartmann6': (-0.153244, 0.1), 'l2norm': (1.169233, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 6 with parameters {'x1': 0.448079, 'x2': 0.627927, 'x3': 0.296622, 'x4': 0.853469, 'x5': 0.364472, 'x6': 0.900446}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 6 with data: {'hartmann6': (0.120383, 0.1), 'l2norm': (1.666346, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 7 with parameters {'x1': 0.950143, 'x2': 0.901927, 'x3': 0.332985, 'x4': 0.747994, 'x5': 0.614743, 'x6': 0.737894}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 7 with data: {'hartmann6': (-0.122127, 0.1), 'l2norm': (1.704237, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 8 with parameters {'x1': 0.542961, 'x2': 0.322079, 'x3': 0.853211, 'x4': 0.017247, 'x5': 0.299357, 'x6': 0.237837}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 8 with data: {'hartmann6': (-0.277466, 0.1), 'l2norm': (1.054665, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 9 with parameters {'x1': 0.115535, 'x2': 0.27838, 'x3': 0.176231, 'x4': 0.483773, 'x5': 0.829505, 'x6': 0.689815}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 9 with data: {'hartmann6': (-0.14747, 0.1), 'l2norm': (1.218596, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 10 with parameters {'x1': 0.229557, 'x2': 0.587641, 'x3': 0.669538, 'x4': 0.78712, 'x5': 0.077289, 'x6': 0.987973}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 10 with data: {'hartmann6': (-0.514787, 0.1), 'l2norm': (1.625957, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Generated new trial 11 with parameters {'x1': 0.098837, 'x2': 0.783709, 'x3': 0.552222, 'x4': 0.594313, 'x5': 0.497611, 'x6': 0.395472}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:15] ax.service.ax_client: Completed trial 11 with data: {'hartmann6': (-0.336342, 0.1), 'l2norm': (1.2078, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[WARNING 12-16 16:45:15] ax.utils.common.kwargs: `` expected argument `transform_configs` to be of type typing.Union[typing.Dict[str, typing.Dict[str, typing.Union[int, float, str, botorch.acquisition.acquisition.AcquisitionFunction, typing.Dict[str, typing.Any], NoneType]]], NoneType]. Got {'Winsorize': {'optimization_config': OptimizationConfig(objective=Objective(metric_name=\"hartmann6\", minimize=True), outcome_constraints=[OutcomeConstraint(l2norm <= 1.25)])}} (type: ).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:22] ax.service.ax_client: Generated new trial 12 with parameters {'x1': 0.555652, 'x2': 0.377294, 'x3': 0.956449, 'x4': 0.164879, 'x5': 0.054476, 'x6': 0.49315}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:22] ax.service.ax_client: Completed trial 12 with data: {'hartmann6': (-0.406058, 0.1), 'l2norm': (1.143878, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[WARNING 12-16 16:45:22] ax.utils.common.kwargs: `` expected argument `transform_configs` to be of type typing.Union[typing.Dict[str, typing.Dict[str, typing.Union[int, float, str, botorch.acquisition.acquisition.AcquisitionFunction, typing.Dict[str, typing.Any], NoneType]]], NoneType]. Got {'Winsorize': {'optimization_config': OptimizationConfig(objective=Objective(metric_name=\"hartmann6\", minimize=True), outcome_constraints=[OutcomeConstraint(l2norm <= 1.25)])}} (type: ).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:33] ax.service.ax_client: Generated new trial 13 with parameters {'x1': 0.584579, 'x2': 0.351524, 'x3': 0.966099, 'x4': 0.134619, 'x5': 0.038552, 'x6': 0.628778}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:33] ax.service.ax_client: Completed trial 13 with data: {'hartmann6': (-0.288947, 0.1), 'l2norm': (1.280895, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[WARNING 12-16 16:45:33] ax.utils.common.kwargs: `` expected argument `transform_configs` to be of type typing.Union[typing.Dict[str, typing.Dict[str, typing.Union[int, float, str, botorch.acquisition.acquisition.AcquisitionFunction, typing.Dict[str, typing.Any], NoneType]]], NoneType]. Got {'Winsorize': {'optimization_config': OptimizationConfig(objective=Objective(metric_name=\"hartmann6\", minimize=True), outcome_constraints=[OutcomeConstraint(l2norm <= 1.25)])}} (type: ).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:51] ax.service.ax_client: Generated new trial 14 with parameters {'x1': 0.578411, 'x2': 0.379219, 'x3': 0.952559, 'x4': 0.320838, 'x5': 0.062097, 'x6': 0.471065}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:51] ax.service.ax_client: Completed trial 14 with data: {'hartmann6': (-0.327313, 0.1), 'l2norm': (1.406943, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[WARNING 12-16 16:45:51] ax.utils.common.kwargs: `` expected argument `transform_configs` to be of type typing.Union[typing.Dict[str, typing.Dict[str, typing.Union[int, float, str, botorch.acquisition.acquisition.AcquisitionFunction, typing.Dict[str, typing.Any], NoneType]]], NoneType]. Got {'Winsorize': {'optimization_config': OptimizationConfig(objective=Objective(metric_name=\"hartmann6\", minimize=True), outcome_constraints=[OutcomeConstraint(l2norm <= 1.25)])}} (type: ).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:59] ax.service.ax_client: Generated new trial 15 with parameters {'x1': 0.549744, 'x2': 0.401018, 'x3': 0.941658, 'x4': 0.018227, 'x5': 0.063415, 'x6': 0.861041}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:45:59] ax.service.ax_client: Completed trial 15 with data: {'hartmann6': (-1.00794, 0.1), 'l2norm': (1.424505, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[WARNING 12-16 16:45:59] ax.utils.common.kwargs: `` expected argument `transform_configs` to be of type typing.Union[typing.Dict[str, typing.Dict[str, typing.Union[int, float, str, botorch.acquisition.acquisition.AcquisitionFunction, typing.Dict[str, typing.Any], NoneType]]], NoneType]. Got {'Winsorize': {'optimization_config': OptimizationConfig(objective=Objective(metric_name=\"hartmann6\", minimize=True), outcome_constraints=[OutcomeConstraint(l2norm <= 1.25)])}} (type: ).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:46:21] ax.service.ax_client: Generated new trial 16 with parameters {'x1': 0.300785, 'x2': 0.454691, 'x3': 0.930215, 'x4': 0.0, 'x5': 0.103044, 'x6': 0.815261}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:46:21] ax.service.ax_client: Completed trial 16 with data: {'hartmann6': (-0.821036, 0.1), 'l2norm': (1.586237, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[WARNING 12-16 16:46:21] ax.utils.common.kwargs: `` expected argument `transform_configs` to be of type typing.Union[typing.Dict[str, typing.Dict[str, typing.Union[int, float, str, botorch.acquisition.acquisition.AcquisitionFunction, typing.Dict[str, typing.Any], NoneType]]], NoneType]. Got {'Winsorize': {'optimization_config': OptimizationConfig(objective=Objective(metric_name=\"hartmann6\", minimize=True), outcome_constraints=[OutcomeConstraint(l2norm <= 1.25)])}} (type: ).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:46:57] ax.service.ax_client: Generated new trial 17 with parameters {'x1': 0.865585, 'x2': 0.423287, 'x3': 0.950031, 'x4': 0.0, 'x5': 0.059751, 'x6': 0.808675}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:46:57] ax.service.ax_client: Completed trial 17 with data: {'hartmann6': (-0.757595, 0.1), 'l2norm': (1.656341, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[WARNING 12-16 16:46:57] ax.utils.common.kwargs: `` expected argument `transform_configs` to be of type typing.Union[typing.Dict[str, typing.Dict[str, typing.Union[int, float, str, botorch.acquisition.acquisition.AcquisitionFunction, typing.Dict[str, typing.Any], NoneType]]], NoneType]. Got {'Winsorize': {'optimization_config': OptimizationConfig(objective=Objective(metric_name=\"hartmann6\", minimize=True), outcome_constraints=[OutcomeConstraint(l2norm <= 1.25)])}} (type: ).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:48:28] ax.service.ax_client: Generated new trial 18 with parameters {'x1': 0.517597, 'x2': 0.224207, 'x3': 1.0, 'x4': 0.0, 'x5': 0.0, 'x6': 0.354584}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:48:28] ax.service.ax_client: Completed trial 18 with data: {'hartmann6': (0.04599, 0.1), 'l2norm': (1.244478, 0.1)}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[WARNING 12-16 16:48:28] ax.utils.common.kwargs: `` expected argument `transform_configs` to be of type typing.Union[typing.Dict[str, typing.Dict[str, typing.Union[int, float, str, botorch.acquisition.acquisition.AcquisitionFunction, typing.Dict[str, typing.Any], NoneType]]], NoneType]. Got {'Winsorize': {'optimization_config': OptimizationConfig(objective=Objective(metric_name=\"hartmann6\", minimize=True), outcome_constraints=[OutcomeConstraint(l2norm <= 1.25)])}} (type: ).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:49:11] ax.service.ax_client: Generated new trial 19 with parameters {'x1': 0.512534, 'x2': 0.407387, 'x3': 0.772404, 'x4': 0.042557, 'x5': 0.373151, 'x6': 0.067874}.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:49:11] ax.service.ax_client: Completed trial 19 with data: {'hartmann6': (-0.089589, 0.1), 'l2norm': (1.012237, 0.1)}.\n"
]
}
],
"source": [
"for i in range(20):\n",
" parameters, trial_index = ax_client.get_next_trial()\n",
" # Local evaluation here can be replaced with deployment to external system.\n",
" ax_client.complete_trial(trial_index=trial_index, raw_data=noisy_hartmann_evaluation_function(parameters))"
]
},
{
"cell_type": "markdown",
"metadata": {
"originalKey": "72f4d3e7-fa04-43d0-8451-ded292e705df"
},
"source": [
"## 2. Contour plots\n",
"\n",
"The plot below shows the response surface for `hartmann6` metric as a function of the `x1`, `x2` parameters.\n",
"\n",
"The other parameters are fixed in the middle of their respective ranges, which in this example is 0.5 for all of them."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"code_folding": [],
"collapsed": false,
"executionStartTime": 1627654870209,
"executionStopTime": 1627654871972,
"hidden_ranges": [],
"originalKey": "843df85c-965d-4a83-9fe1-696225d81c0f",
"requestMsgId": "4a643541-867c-46b6-868d-64337920c2a3"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 12-16 16:49:11] ax.service.ax_client: Retrieving contour plot with parameter 'x1' on X-axis and 'x2' on Y-axis, for metric 'hartmann6'. Remaining parameters are affixed to the middle of their range.\n"
]
},
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hartmann6: -0.372856 (SEM: 0.1)
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hartmann6: -0.122127 (SEM: 0.1)
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hartmann6: -0.277466 (SEM: 0.1)
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"Arm 0_0
hartmann6: -0.372856 (SEM: 0.1)
x1: 0.732697
x2: 0.115858
x3: 0.90607
x4: 0.628305
x5: 0.310364
x6: 0.685915",
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hartmann6: -0.922581 (SEM: 0.1)
x1: 0.702573
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x6: 0.847193",
"Arm 2_0
hartmann6: -0.177051 (SEM: 0.1)
x1: 0.892862
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x3: 0.685355
x4: 0.568963
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x6: 0.597251",
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hartmann6: -0.265073 (SEM: 0.1)
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x6: 0.222252",
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hartmann6: -0.330339 (SEM: 0.1)
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hartmann6: -0.153244 (SEM: 0.1)
x1: 0.325731
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x6: 0.442173",
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hartmann6: 0.120383 (SEM: 0.1)
x1: 0.448079
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x5: 0.364472
x6: 0.900446",
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hartmann6: -0.122127 (SEM: 0.1)
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x3: 0.332985
x4: 0.747994
x5: 0.614743
x6: 0.737894",
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hartmann6: -0.277466 (SEM: 0.1)
x1: 0.542961
x2: 0.322079
x3: 0.853211
x4: 0.0172471
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x6: 0.237837",
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hartmann6: -0.14747 (SEM: 0.1)
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x5: 0.829505
x6: 0.689815",
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hartmann6: -0.514787 (SEM: 0.1)
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hartmann6: -0.336342 (SEM: 0.1)
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x3: 0.552222
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x5: 0.497611
x6: 0.395472",
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hartmann6: -0.406058 (SEM: 0.1)
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x5: 0.0544761
x6: 0.49315",
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x5: 0.0385516
x6: 0.628778",
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hartmann6: -0.327313 (SEM: 0.1)
x1: 0.578411
x2: 0.379219
x3: 0.952559
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x6: 0.471065",
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hartmann6: -1.00794 (SEM: 0.1)
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x5: 0.0634149
x6: 0.861041",
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hartmann6: -0.821036 (SEM: 0.1)
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x6: 0.815261",
"Arm 17_0
hartmann6: -0.757595 (SEM: 0.1)
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x6: 0.808675",
"Arm 18_0
hartmann6: 0.04599 (SEM: 0.1)
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