{ "cells": [ { "cell_type": "markdown", "id": "0a64c5ff", "metadata": { "originalKey": "e23719d9-8a24-4208-8439-34e7b8270c79", "papermill": { "duration": 0.003237, "end_time": "2025-01-31T05:15:40.823943", "exception": false, "start_time": "2025-01-31T05:15:40.820706", "status": "completed" }, "tags": [] }, "source": [ "# Visualizations\n", "\n", "This tutorial illustrates the core visualization utilities available in Ax." ] }, { "cell_type": "code", "execution_count": 1, "id": "26c8bc1d", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2025-01-31T05:15:40.831754Z", "iopub.status.busy": "2025-01-31T05:15:40.831178Z", "iopub.status.idle": "2025-01-31T05:15:43.758316Z", "shell.execute_reply": "2025-01-31T05:15:43.757300Z" }, "executionStartTime": 1627652821316, "executionStopTime": 1627652822868, "hidden_ranges": [], "originalKey": "101b0e96-5b3d-48c5-bf3c-677b4ddf90c7", "papermill": { "duration": 2.950073, "end_time": "2025-01-31T05:15:43.777139", "exception": false, "start_time": "2025-01-31T05:15:40.827066", "status": "completed" }, "requestMsgId": "c0dd9aaf-896d-4ea9-912f-1e58d301d114", "tags": [] }, "outputs": [ { "data": { "text/html": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:43] ax.utils.notebook.plotting: Injecting Plotly library into cell. Do not overwrite or delete cell.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:43] ax.utils.notebook.plotting: Please see\n", " (https://ax.dev/tutorials/visualizations.html#Fix-for-plots-that-are-not-rendering)\n", " if visualizations are not rendering.\n" ] }, { "data": { "text/html": [ " \n", " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\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 interact_fitted, plot_objective_vs_constraints, tile_fitted\n", "from ax.plot.slice import plot_slice\n", "from ax.service.ax_client import AxClient, ObjectiveProperties\n", "from ax.utils.measurement.synthetic_functions import hartmann6\n", "from ax.utils.notebook.plotting import init_notebook_plotting, render\n", "\n", "init_notebook_plotting()" ] }, { "cell_type": "markdown", "id": "d12e03a6", "metadata": { "code_folding": [], "hidden_ranges": [], "originalKey": "8449378f-890e-4e76-8d73-ce2aa4120a69", "papermill": { "duration": 0.041032, "end_time": "2025-01-31T05:15:43.858853", "exception": false, "start_time": "2025-01-31T05:15:43.817821", "status": "completed" }, "showInput": true, "tags": [] }, "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", "id": "bfa8ad37", "metadata": { "originalKey": "f7544e06-6c6a-4841-b659-3be6a198a948", "papermill": { "duration": 0.040989, "end_time": "2025-01-31T05:15:43.941257", "exception": false, "start_time": "2025-01-31T05:15:43.900268", "status": "completed" }, "tags": [] }, "source": [ "#### 1a. Define search space and evaluation function" ] }, { "cell_type": "code", "execution_count": 2, "id": "aef67086", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2025-01-31T05:15:44.030241Z", "iopub.status.busy": "2025-01-31T05:15:44.029644Z", "iopub.status.idle": "2025-01-31T05:15:44.034698Z", "shell.execute_reply": "2025-01-31T05:15:44.033942Z" }, "executionStartTime": 1627652824829, "executionStopTime": 1627652824877, "hidden_ranges": [], "originalKey": "28f6cb76-828f-445d-bdda-ba057c87dcd0", "papermill": { "duration": 0.051249, "end_time": "2025-01-31T05:15:44.036000", "exception": false, "start_time": "2025-01-31T05:15:43.984751", "status": "completed" }, "requestMsgId": "7495e7e2-1025-4292-b3aa-e953739cef3e", "tags": [] }, "outputs": [], "source": [ "noise_sd = 0.1\n", "param_names = [f\"x{i+1}\" for i in range(6)] # x1, x2, ..., x6\n", "\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", " }" ] }, { "cell_type": "markdown", "id": "568c62c5", "metadata": { "originalKey": "17a51543-298e-47d4-bcd9-33459fe1169e", "papermill": { "duration": 0.041629, "end_time": "2025-01-31T05:15:44.118972", "exception": false, "start_time": "2025-01-31T05:15:44.077343", "status": "completed" }, "tags": [] }, "source": [ "#### 1b. Create Experiment" ] }, { "cell_type": "code", "execution_count": 3, "id": "f85cceda", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2025-01-31T05:15:44.204475Z", "iopub.status.busy": "2025-01-31T05:15:44.203795Z", "iopub.status.idle": "2025-01-31T05:15:44.220404Z", "shell.execute_reply": "2025-01-31T05:15:44.219846Z" }, "executionStartTime": 1627654956712, "executionStopTime": 1627654956823, "hidden_ranges": [], "originalKey": "6fca889c-a4ff-42ef-a669-6eb8803de89c", "papermill": { "duration": 0.060789, "end_time": "2025-01-31T05:15:44.221697", "exception": false, "start_time": "2025-01-31T05:15:44.160908", "status": "completed" }, "requestMsgId": "905eff52-e649-4bd5-abf0-ff69c1549852", "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] 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 01-31 05:15:44] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x1. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x2. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x3. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x4. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x5. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x6. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] 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 01-31 05:15:44] ax.modelbridge.dispatch_utils: Using Models.BOTORCH_MODULAR since there is at least one ordered parameter and there are no unordered categorical parameters.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.modelbridge.dispatch_utils: Calculating the number of remaining initialization trials based on num_initialization_trials=None max_initialization_trials=None num_tunable_parameters=6 num_trials=None use_batch_trials=False\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.modelbridge.dispatch_utils: calculated num_initialization_trials=12\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.modelbridge.dispatch_utils: num_completed_initialization_trials=0 num_remaining_initialization_trials=12\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.modelbridge.dispatch_utils: `verbose`, `disable_progbar`, and `jit_compile` are not yet supported when using `choose_generation_strategy` with ModularBoTorchModel, dropping these arguments.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.modelbridge.dispatch_utils: Using Bayesian Optimization generation strategy: GenerationStrategy(name='Sobol+BoTorch', steps=[Sobol for 12 trials, BoTorch 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", " objectives={\"hartmann6\": ObjectiveProperties(minimize=True)},\n", " outcome_constraints=[\"l2norm <= 1.25\"],\n", ")" ] }, { "cell_type": "markdown", "id": "a6621702", "metadata": { "code_folding": [], "hidden_ranges": [], "originalKey": "ab892f7c-4830-4c1d-b476-ec1078ec3faf", "papermill": { "duration": 0.042582, "end_time": "2025-01-31T05:15:44.306814", "exception": false, "start_time": "2025-01-31T05:15:44.264232", "status": "completed" }, "showInput": false, "tags": [] }, "source": [ "#### 1c. Run the optimization and fit a GP on all data" ] }, { "cell_type": "code", "execution_count": 4, "id": "7c4fecc3", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2025-01-31T05:15:44.393587Z", "iopub.status.busy": "2025-01-31T05:15:44.393001Z", "iopub.status.idle": "2025-01-31T05:16:15.401888Z", "shell.execute_reply": "2025-01-31T05:16:15.401160Z" }, "executionStartTime": 1627654642967, "executionStopTime": 1627654862819, "hidden_ranges": [], "originalKey": "7269a5ba-45c8-4acf-ac83-a5ea8a52d6c1", "papermill": { "duration": 31.094225, "end_time": "2025-01-31T05:16:15.443416", "exception": false, "start_time": "2025-01-31T05:15:44.349191", "status": "completed" }, "requestMsgId": "c7a4dea8-fd6d-4e1a-84de-ad973ede0cd7", "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 0 with parameters {'x1': 0.131491, 'x2': 0.483592, 'x3': 0.053841, 'x4': 0.807448, 'x5': 0.661372, 'x6': 0.134992} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 0 with data: {'hartmann6': (-0.22552, 0.1), 'l2norm': (1.154633, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 1 with parameters {'x1': 0.930106, 'x2': 0.891206, 'x3': 0.756407, 'x4': 0.099624, 'x5': 0.123986, 'x6': 0.97789} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 1 with data: {'hartmann6': (-0.022299, 0.1), 'l2norm': (1.828465, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 2 with parameters {'x1': 0.689473, 'x2': 0.079633, 'x3': 0.479976, 'x4': 0.649376, 'x5': 0.496123, 'x6': 0.525501} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 2 with data: {'hartmann6': (-0.058407, 0.1), 'l2norm': (1.345988, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 3 with parameters {'x1': 0.496879, 'x2': 0.54505, 'x3': 0.713697, 'x4': 0.44155, 'x5': 0.788877, 'x6': 0.368639} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 3 with data: {'hartmann6': (-0.124713, 0.1), 'l2norm': (1.364751, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 4 with parameters {'x1': 0.26477, 'x2': 0.155562, 'x3': 0.967302, 'x4': 0.26509, 'x5': 0.946099, 'x6': 0.098987} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 4 with data: {'hartmann6': (-0.005791, 0.1), 'l2norm': (1.2374, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 5 with parameters {'x1': 0.548672, 'x2': 0.719609, 'x3': 0.233558, 'x4': 0.581679, 'x5': 0.268581, 'x6': 0.75609} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 5 with data: {'hartmann6': (-0.425211, 0.1), 'l2norm': (1.496162, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 6 with parameters {'x1': 0.823973, 'x2': 0.28315, 'x3': 0.50278, 'x4': 0.169272, 'x5': 0.142546, 'x6': 0.739729} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 6 with data: {'hartmann6': (-0.440787, 0.1), 'l2norm': (1.12813, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 7 with parameters {'x1': 0.114714, 'x2': 0.842136, 'x3': 0.300251, 'x4': 0.985862, 'x5': 0.572509, 'x6': 0.396591} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 7 with data: {'hartmann6': (0.011023, 0.1), 'l2norm': (1.503865, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 8 with parameters {'x1': 0.046407, 'x2': 0.044498, 'x3': 0.58763, 'x4': 0.533496, 'x5': 0.053691, 'x6': 0.303075} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 8 with data: {'hartmann6': (-0.151621, 0.1), 'l2norm': (0.79458, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 9 with parameters {'x1': 0.766898, 'x2': 0.5803, 'x3': 0.351647, 'x4': 0.373645, 'x5': 0.731638, 'x6': 0.583227} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 9 with data: {'hartmann6': (-0.093786, 0.1), 'l2norm': (1.478072, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 10 with parameters {'x1': 0.604634, 'x2': 0.393712, 'x3': 0.880766, 'x4': 0.875407, 'x5': 0.859146, 'x6': 0.912592} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 10 with data: {'hartmann6': (-0.064969, 0.1), 'l2norm': (1.995085, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:15:44] ax.service.ax_client: Generated new trial 11 with parameters {'x1': 0.333915, 'x2': 0.980972, 'x3': 0.176067, 'x4': 0.215556, 'x5': 0.425824, 'x6': 0.192498} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:44] ax.service.ax_client: Completed trial 11 with data: {'hartmann6': (-0.567738, 0.1), 'l2norm': (1.125026, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:48] ax.service.ax_client: Generated new trial 12 with parameters {'x1': 0.418084, 'x2': 0.759913, 'x3': 0.150699, 'x4': 0.264122, 'x5': 0.297788, 'x6': 0.279296} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:48] ax.service.ax_client: Completed trial 12 with data: {'hartmann6': (-0.744165, 0.1), 'l2norm': (1.057256, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:50] ax.service.ax_client: Generated new trial 13 with parameters {'x1': 0.550333, 'x2': 0.564418, 'x3': 0.13, 'x4': 0.084936, 'x5': 0.162165, 'x6': 0.346114} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:50] ax.service.ax_client: Completed trial 13 with data: {'hartmann6': (-0.080572, 0.1), 'l2norm': (0.888512, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:59] ax.service.ax_client: Generated new trial 14 with parameters {'x1': 0.332407, 'x2': 0.433507, 'x3': 0.316151, 'x4': 0.247231, 'x5': 0.268843, 'x6': 0.371148} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:15:59] ax.service.ax_client: Completed trial 14 with data: {'hartmann6': (-1.062543, 0.1), 'l2norm': (0.772986, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:03] ax.service.ax_client: Generated new trial 15 with parameters {'x1': 0.083242, 'x2': 0.2452, 'x3': 0.432486, 'x4': 0.254658, 'x5': 0.254921, 'x6': 0.387337} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:03] ax.service.ax_client: Completed trial 15 with data: {'hartmann6': (-1.514199, 0.1), 'l2norm': (0.594865, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:05] ax.service.ax_client: Generated new trial 16 with parameters {'x1': 0.0, 'x2': 0.02209, 'x3': 0.603081, 'x4': 0.262333, 'x5': 0.236095, 'x6': 0.522272} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:05] ax.service.ax_client: Completed trial 16 with data: {'hartmann6': (-2.106559, 0.1), 'l2norm': (0.905218, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:07] ax.service.ax_client: Generated new trial 17 with parameters {'x1': 0.0, 'x2': 0.0, 'x3': 0.789902, 'x4': 0.269476, 'x5': 0.214676, 'x6': 0.683809} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:07] ax.service.ax_client: Completed trial 17 with data: {'hartmann6': (-1.612032, 0.1), 'l2norm': (1.130916, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:10] ax.service.ax_client: Generated new trial 18 with parameters {'x1': 0.0, 'x2': 0.0, 'x3': 0.80206, 'x4': 0.246761, 'x5': 0.156097, 'x6': 0.491904} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:10] ax.service.ax_client: Completed trial 18 with data: {'hartmann6': (-1.020042, 0.1), 'l2norm': (1.053136, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:15] ax.service.ax_client: Generated new trial 19 with parameters {'x1': 0.0, 'x2': 0.0, 'x3': 0.475494, 'x4': 0.123269, 'x5': 0.274337, 'x6': 0.290761} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:15] ax.service.ax_client: Completed trial 19 with data: {'hartmann6': (-0.713683, 0.1), 'l2norm': (0.602178, 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(\n", " trial_index=trial_index, raw_data=noisy_hartmann_evaluation_function(parameters)\n", " )" ] }, { "cell_type": "markdown", "id": "3ae76e16", "metadata": { "originalKey": "72f4d3e7-fa04-43d0-8451-ded292e705df", "papermill": { "duration": 0.043704, "end_time": "2025-01-31T05:16:15.531006", "exception": false, "start_time": "2025-01-31T05:16:15.487302", "status": "completed" }, "tags": [] }, "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, "id": "85caacc5", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2025-01-31T05:16:15.621005Z", "iopub.status.busy": "2025-01-31T05:16:15.620396Z", "iopub.status.idle": "2025-01-31T05:16:16.264156Z", "shell.execute_reply": "2025-01-31T05:16:16.263135Z" }, "executionStartTime": 1627654870209, "executionStopTime": 1627654871972, "hidden_ranges": [], "originalKey": "843df85c-965d-4a83-9fe1-696225d81c0f", "papermill": { "duration": 0.712765, "end_time": "2025-01-31T05:16:16.287317", "exception": false, "start_time": "2025-01-31T05:16:15.574552", "status": "completed" }, "requestMsgId": "4a643541-867c-46b6-868d-64337920c2a3", "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:15] 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" ] }, { "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, "rgb(0,68,27)" ] ], "contours": { "coloring": "heatmap" }, "hoverinfo": "x+y+z", "ncontours": 25, "type": "contour", "x": [ 0.0, 0.02040816326530612, 0.04081632653061224, 0.061224489795918366, 0.08163265306122448, 0.1020408163265306, 0.12244897959183673, 0.14285714285714285, 0.16326530612244897, 0.18367346938775508, 0.2040816326530612, 0.22448979591836732, 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\n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# this could alternately be done with `ax.plot.contour.plot_contour`\n", "render(ax_client.get_contour_plot(param_x=\"x1\", param_y=\"x2\", metric_name=\"hartmann6\"))" ] }, { "cell_type": "markdown", "id": "178c1564", "metadata": { "originalKey": "1de0991a-d99b-4d07-acec-4a2eb4a20a73", "papermill": { "duration": 0.099279, "end_time": "2025-01-31T05:16:16.480948", "exception": false, "start_time": "2025-01-31T05:16:16.381669", "status": "completed" }, "tags": [] }, "source": [ "#### 2a. Interactive contour plot\n", "\n", "The plot below allows toggling between different pairs of parameters to view the contours." ] }, { "cell_type": "code", "execution_count": 6, "id": "dba74234", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2025-01-31T05:16:16.673032Z", "iopub.status.busy": "2025-01-31T05:16:16.672250Z", "iopub.status.idle": "2025-01-31T05:16:30.884834Z", "shell.execute_reply": "2025-01-31T05:16:30.883750Z" }, "executionStartTime": 1627652959076, "executionStopTime": 1627652982911, "hidden_ranges": [], "originalKey": "4af9f166-0163-4ff5-9ecb-f534a69efe3d", "papermill": { "duration": 14.468103, "end_time": "2025-01-31T05:16:31.044254", "exception": false, "start_time": "2025-01-31T05:16:16.576151", "status": "completed" }, "requestMsgId": "2de6919e-92e1-4425-8d90-b117e9f41855", "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", 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\n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = ax_client.generation_strategy.model\n", "render(interact_contour(model=model, metric_name=\"hartmann6\"))" ] }, { "cell_type": "markdown", "id": "6df9f7c4", "metadata": { "originalKey": "1ff470bb-5daf-4179-b814-01cc80dafe3e", "papermill": { "duration": 0.584824, "end_time": "2025-01-31T05:16:32.230353", "exception": false, "start_time": "2025-01-31T05:16:31.645529", "status": "completed" }, "tags": [] }, "source": [ "## 3. Tradeoff plots\n", "This plot illustrates the tradeoffs achievable for 2 different metrics. The plot takes the x-axis metric as input (usually the objective) and allows toggling among all other metrics for the y-axis.\n", "\n", "This is useful to get a sense of the pareto frontier (i.e. what is the best objective value achievable for different bounds on the constraint)" ] }, { "cell_type": "code", "execution_count": 7, "id": "04e76ee6", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:16:33.422420Z", "iopub.status.busy": "2025-01-31T05:16:33.422126Z", "iopub.status.idle": "2025-01-31T05:16:33.584115Z", "shell.execute_reply": "2025-01-31T05:16:33.583249Z" }, "executionStartTime": 1627652996903, "executionStopTime": 1627652997294, "originalKey": "57023556-0293-44ef-91d6-81b911ff41d3", "papermill": { "duration": 0.77549, "end_time": "2025-01-31T05:16:33.604346", "exception": false, "start_time": "2025-01-31T05:16:32.828856", "status": "completed" }, "requestMsgId": "10b72ecc-a019-42a1-8358-18f14927ef75", "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "error_x": { "array": { "bdata": "SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT8=", "dtype": "f8" }, "color": "rgba(128,177,211,0.4)", "type": "data" }, "error_y": { "array": { "bdata": "SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT8=", "dtype": "f8" }, "color": "rgba(128,177,211,0.4)", "type": "data" }, "hoverinfo": "text", "marker": { "color": "rgba(128,177,211,1)" }, "mode": "markers", "name": "In-sample", "showlegend": true, "text": [ "Arm 0_0

hartmann6: -0.226 [-0.422, -0.030]
l2norm: 1.155 [0.959, 1.351]

Parameterization:
x1: 0.131490558385849
x2: 0.48359182476997375
x3: 0.05384073778986931
x4: 0.807447612285614
x5: 0.6613724827766418
x6: 0.13499197363853455", "Arm 1_0

hartmann6: -0.022 [-0.218, 0.174]
l2norm: 1.828 [1.632, 2.024]

Parameterization:
x1: 0.9301061034202576
x2: 0.891205832362175
x3: 0.7564074834808707
x4: 0.09962418023496866
x5: 0.1239856481552124
x6: 0.9778899047523737", "Arm 2_0

hartmann6: -0.058 [-0.254, 0.138]
l2norm: 1.346 [1.150, 1.542]

Parameterization:
x1: 0.6894731214269996
x2: 0.07963309250772
x3: 0.47997619677335024
x4: 0.6493757544085383
x5: 0.4961228147149086
x6: 0.5255010286346078", "Arm 3_0

hartmann6: -0.125 [-0.321, 0.071]
l2norm: 1.365 [1.169, 1.561]

Parameterization:
x1: 0.49687945283949375
x2: 0.545050261542201
x3: 0.7136966148391366
x4: 0.4415497602894902
x5: 0.7888768501579762
x6: 0.36863851360976696", "Arm 4_0

hartmann6: -0.006 [-0.202, 0.190]
l2norm: 1.237 [1.041, 1.433]

Parameterization:
x1: 0.26477039977908134
x2: 0.15556240733712912
x3: 0.9673017337918282
x4: 0.26509038358926773
x5: 0.9460992617532611
x6: 0.0989869274199009", "Arm 5_0

hartmann6: -0.425 [-0.621, -0.229]
l2norm: 1.496 [1.300, 1.692]

Parameterization:
x1: 0.5486724758520722
x2: 0.7196090510115027
x3: 0.23355842754244804
x4: 0.5816791262477636
x5: 0.26858123298734426
x6: 0.7560900850221515", "Arm 6_0

hartmann6: -0.441 [-0.637, -0.245]
l2norm: 1.128 [0.932, 1.324]

Parameterization:
x1: 0.8239734675735235
x2: 0.2831502640619874
x3: 0.5027799513190985
x4: 0.169272031635046
x5: 0.1425455203279853
x6: 0.7397287338972092", "Arm 7_0

hartmann6: 0.011 [-0.185, 0.207]
l2norm: 1.504 [1.308, 1.700]

Parameterization:
x1: 0.11471356730908155
x2: 0.8421357432380319
x3: 0.30025135166943073
x4: 0.9858619887381792
x5: 0.5725086955353618
x6: 0.39659067895263433", "Arm 8_0

hartmann6: -0.152 [-0.348, 0.044]
l2norm: 0.795 [0.599, 0.991]

Parameterization:
x1: 0.046407184563577175
x2: 0.04449837561696768
x3: 0.5876295994967222
x4: 0.53349634911865
x5: 0.05369080230593681
x6: 0.3030745219439268", "Arm 9_0

hartmann6: -0.094 [-0.290, 0.102]
l2norm: 1.478 [1.282, 1.674]

Parameterization:
x1: 0.7668975461274385
x2: 0.5802995404228568
x3: 0.35164729692041874
x4: 0.37364468071609735
x5: 0.7316377609968185
x6: 0.5832272181287408", "Arm 10_0

hartmann6: -0.065 [-0.261, 0.131]
l2norm: 1.995 [1.799, 2.191]

Parameterization:
x1: 0.6046336712315679
x2: 0.3937115604057908
x3: 0.880765751004219
x4: 0.875406782142818
x5: 0.85914596170187
x6: 0.9125921372324228", "Arm 11_0

hartmann6: -0.568 [-0.764, -0.372]
l2norm: 1.125 [0.929, 1.321]

Parameterization:
x1: 0.33391518145799637
x2: 0.9809720227494836
x3: 0.1760668344795704
x4: 0.2155562834814191
x5: 0.4258241392672062
x6: 0.1924977796152234", "Arm 12_0

hartmann6: -0.744 [-0.940, -0.548]
l2norm: 1.057 [0.861, 1.253]

Parameterization:
x1: 0.41808422906189263
x2: 0.7599126885672787
x3: 0.1506989736551486
x4: 0.26412215126044125
x5: 0.2977876270808291
x6: 0.2792956067293235", "Arm 13_0

hartmann6: -0.081 [-0.277, 0.115]
l2norm: 0.889 [0.693, 1.085]

Parameterization:
x1: 0.5503333415451401
x2: 0.5644177501197244
x3: 0.12999987346041156
x4: 0.08493551418407362
x5: 0.16216505997528952
x6: 0.34611407566063096", "Arm 14_0

hartmann6: -1.063 [-1.259, -0.867]
l2norm: 0.773 [0.577, 0.969]

Parameterization:
x1: 0.3324069719181574
x2: 0.43350717969858477
x3: 0.31615113008669693
x4: 0.24723088572914026
x5: 0.2688430255177685
x6: 0.37114815712697224", "Arm 15_0

hartmann6: -1.514 [-1.710, -1.318]
l2norm: 0.595 [0.399, 0.791]

Parameterization:
x1: 0.0832423795187508
x2: 0.2452004748477297
x3: 0.4324864317561189
x4: 0.2546579630452265
x5: 0.25492143136056117
x6: 0.38733650130171166", "Arm 16_0

hartmann6: -2.107 [-2.303, -1.911]
l2norm: 0.905 [0.709, 1.101]

Parameterization:
x1: 0.0
x2: 0.02208998366849766
x3: 0.6030805741555477
x4: 0.26233279257747594
x5: 0.23609450072764496
x6: 0.5222717653984417", "Arm 17_0

hartmann6: -1.612 [-1.808, -1.416]
l2norm: 1.131 [0.935, 1.327]

Parameterization:
x1: 0.0
x2: 0.0
x3: 0.7899024865264379
x4: 0.2694757142703667
x5: 0.21467557123333064
x6: 0.6838087951982109", "Arm 18_0

hartmann6: -1.02 [-1.216, -0.824]
l2norm: 1.053 [0.857, 1.249]

Parameterization:
x1: 0.0
x2: 0.0
x3: 0.802059704496527
x4: 0.24676051705785526
x5: 0.15609719745479173
x6: 0.49190363188818514" ], "type": "scatter", "visible": false, "x": [ -0.22551987001558366, -0.022299486651026684, -0.05840665842682766, -0.12471301334446012, -0.005790522424139325, -0.42521055958941667, -0.44078742642370916, 0.011023408419475078, -0.15162089709043686, -0.09378631921320793, -0.0649685257910182, -0.5677377867767511, -0.7441648349312355, -0.08057205971434439, -1.0625430134297877, -1.5141986995446965, -2.106559078515599, -1.6120316777139445, -1.0200424375075547 ], "y": [ 1.1546329764275498, 1.8284648060868958, 1.3459879234390826, 1.3647511441450872, 1.2374001822547647, 1.496161625807203, 1.12812961141236, 1.5038647674706485, 0.794579637232833, 1.4780724339318454, 1.995084823716859, 1.1250260933936065, 1.0572561377992464, 0.8885118244818869, 0.772985631890849, 0.5948645556690398, 0.9052175258006439, 1.1309160964105003, 1.0531361208856995 ] }, { "error_x": { "array": { "bdata": "qPsuxNhByD957u9jgqDIP8ng7wMhwMg/mHg7sy9Uxz+R0zRta5zIPz3rHy34uMY/o/d3Zcyfxz/+X1xr3YjIPx6ipdl2Xcg/ly+FoCeDxz/h2z5Q+RHIP2cCusTVfMg/d8kRqeppxj+0eDTW/wHIP75Jb/ZA7sM/2dcEnSb9wj+xqCjXBbPDP1cKlAFNx8M/RIAn9CNRxj8=", "dtype": "f8" }, "color": "rgba(128,177,211,0.4)", "type": "data" }, "error_y": { "array": { "bdata": "O9fLwUQQxj99Bq8PkCTHP4WHDcQk58Q/WBa6gAh/wz8iPxnfzbTGPyz1KY54/cQ/qPTy1WGcxD9s4aWdbsfFP7vvvzBcFMQ/Aow7Rr/Hwz9EdNHxFQDHP4yY0cijLMQ/54uxOl4xvD+moLhfSEDCPx8R1j873bo/2wyFADMBvz/nnbHRnNS8Pxiwgdbq2sE/cGsiRwYKwD8=", "dtype": "f8" }, "color": "rgba(128,177,211,0.4)", "type": "data" }, "hoverinfo": "text", "marker": { "color": "rgba(128,177,211,1)" }, "mode": "markers", "name": "In-sample", "showlegend": true, "text": [ "Arm 0_0

hartmann6: -0.213 [-0.402, -0.023]
l2norm: 1.157 [0.984, 1.329]

Parameterization:
x1: 0.131490558385849
x2: 0.48359182476997375
x3: 0.05384073778986931
x4: 0.807447612285614
x5: 0.6613724827766418
x6: 0.13499197363853455", "Arm 1_0

hartmann6: -0.02 [-0.212, 0.173]
l2norm: 1.783 [1.603, 1.964]

Parameterization:
x1: 0.9301061034202576
x2: 0.891205832362175
x3: 0.7564074834808707
x4: 0.09962418023496866
x5: 0.1239856481552124
x6: 0.9778899047523737", "Arm 2_0

hartmann6: -0.071 [-0.265, 0.122]
l2norm: 1.306 [1.143, 1.469]

Parameterization:
x1: 0.6894731214269996
x2: 0.07963309250772
x3: 0.47997619677335024
x4: 0.6493757544085383
x5: 0.4961228147149086
x6: 0.5255010286346078", "Arm 3_0

hartmann6: -0.118 [-0.301, 0.064]
l2norm: 1.373 [1.221, 1.526]

Parameterization:
x1: 0.49687945283949375
x2: 0.545050261542201
x3: 0.7136966148391366
x4: 0.4415497602894902
x5: 0.7888768501579762
x6: 0.36863851360976696", "Arm 4_0

hartmann6: -0.013 [-0.205, 0.179]
l2norm: 1.239 [1.061, 1.416]

Parameterization:
x1: 0.26477039977908134
x2: 0.15556240733712912
x3: 0.9673017337918282
x4: 0.26509038358926773
x5: 0.9460992617532611
x6: 0.0989869274199009", "Arm 5_0

hartmann6: -0.462 [-0.639, -0.284]
l2norm: 1.483 [1.319, 1.647]

Parameterization:
x1: 0.5486724758520722
x2: 0.7196090510115027
x3: 0.23355842754244804
x4: 0.5816791262477636
x5: 0.26858123298734426
x6: 0.7560900850221515", "Arm 6_0

hartmann6: -0.437 [-0.621, -0.252]
l2norm: 1.189 [1.028, 1.350]

Parameterization:
x1: 0.8239734675735235
x2: 0.2831502640619874
x3: 0.5027799513190985
x4: 0.169272031635046
x5: 0.1425455203279853
x6: 0.7397287338972092", "Arm 7_0

hartmann6: -0.0 [-0.192, 0.191]
l2norm: 1.49 [1.320, 1.660]

Parameterization:
x1: 0.11471356730908155
x2: 0.8421357432380319
x3: 0.30025135166943073
x4: 0.9858619887381792
x5: 0.5725086955353618
x6: 0.39659067895263433", "Arm 8_0

hartmann6: -0.157 [-0.348, 0.033]
l2norm: 0.835 [0.678, 0.992]

Parameterization:
x1: 0.046407184563577175
x2: 0.04449837561696768
x3: 0.5876295994967222
x4: 0.53349634911865
x5: 0.05369080230593681
x6: 0.3030745219439268", "Arm 9_0

hartmann6: -0.107 [-0.291, 0.077]
l2norm: 1.452 [1.297, 1.607]

Parameterization:
x1: 0.7668975461274385
x2: 0.5802995404228568
x3: 0.35164729692041874
x4: 0.37364468071609735
x5: 0.7316377609968185
x6: 0.5832272181287408", "Arm 10_0

hartmann6: -0.068 [-0.256, 0.120]
l2norm: 1.962 [1.782, 2.142]

Parameterization:
x1: 0.6046336712315679
x2: 0.3937115604057908
x3: 0.880765751004219
x4: 0.875406782142818
x5: 0.85914596170187
x6: 0.9125921372324228", "Arm 11_0

hartmann6: -0.567 [-0.758, -0.376]
l2norm: 1.15 [0.992, 1.307]

Parameterization:
x1: 0.33391518145799637
x2: 0.9809720227494836
x3: 0.1760668344795704
x4: 0.2155562834814191
x5: 0.4258241392672062
x6: 0.1924977796152234", "Arm 12_0

hartmann6: -0.697 [-0.872, -0.522]
l2norm: 1.023 [0.913, 1.133]

Parameterization:
x1: 0.41808422906189263
x2: 0.7599126885672787
x3: 0.1506989736551486
x4: 0.26412215126044125
x5: 0.2977876270808291
x6: 0.2792956067293235", "Arm 13_0

hartmann6: -0.098 [-0.285, 0.090]
l2norm: 0.887 [0.744, 1.030]

Parameterization:
x1: 0.5503333415451401
x2: 0.5644177501197244
x3: 0.12999987346041156
x4: 0.08493551418407362
x5: 0.16216505997528952
x6: 0.34611407566063096", "Arm 14_0

hartmann6: -1.061 [-1.217, -0.905]
l2norm: 0.8 [0.695, 0.905]

Parameterization:
x1: 0.3324069719181574
x2: 0.43350717969858477
x3: 0.31615113008669693
x4: 0.24723088572914026
x5: 0.2688430255177685
x6: 0.37114815712697224", "Arm 15_0

hartmann6: -1.559 [-1.707, -1.410]
l2norm: 0.713 [0.592, 0.834]

Parameterization:
x1: 0.0832423795187508
x2: 0.2452004748477297
x3: 0.4324864317561189
x4: 0.2546579630452265
x5: 0.25492143136056117
x6: 0.38733650130171166", "Arm 16_0

hartmann6: -1.945 [-2.099, -1.792]
l2norm: 0.883 [0.770, 0.995]

Parameterization:
x1: 0.0
x2: 0.02208998366849766
x3: 0.6030805741555477
x4: 0.26233279257747594
x5: 0.23609450072764496
x6: 0.5222717653984417", "Arm 17_0

hartmann6: -1.681 [-1.835, -1.526]
l2norm: 1.133 [0.994, 1.273]

Parameterization:
x1: 0.0
x2: 0.0
x3: 0.7899024865264379
x4: 0.2694757142703667
x5: 0.21467557123333064
x6: 0.6838087951982109", "Arm 18_0

hartmann6: -1.035 [-1.210, -0.861]
l2norm: 0.998 [0.873, 1.124]

Parameterization:
x1: 0.0
x2: 0.0
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l2norm: 1.155 [0.959, 1.351]

Parameterization:
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hartmann6: -0.022 [-0.218, 0.174]
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Parameterization:
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x3: 0.7564074834808707
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hartmann6: -0.058 [-0.254, 0.138]
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Parameterization:
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hartmann6: -0.125 [-0.321, 0.071]
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Parameterization:
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hartmann6: -0.006 [-0.202, 0.190]
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Parameterization:
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x3: 0.9673017337918282
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hartmann6: -0.425 [-0.621, -0.229]
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Parameterization:
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hartmann6: -0.441 [-0.637, -0.245]
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Parameterization:
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hartmann6: 0.011 [-0.185, 0.207]
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Parameterization:
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hartmann6: -0.152 [-0.348, 0.044]
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Parameterization:
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x3: 0.5876295994967222
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hartmann6: -0.094 [-0.290, 0.102]
l2norm: 1.478 [1.282, 1.674]

Parameterization:
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x4: 0.37364468071609735
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hartmann6: -0.065 [-0.261, 0.131]
l2norm: 1.995 [1.799, 2.191]

Parameterization:
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hartmann6: -0.568 [-0.764, -0.372]
l2norm: 1.125 [0.929, 1.321]

Parameterization:
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x3: 0.1760668344795704
x4: 0.2155562834814191
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hartmann6: -0.744 [-0.940, -0.548]
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Parameterization:
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hartmann6: -0.081 [-0.277, 0.115]
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Parameterization:
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hartmann6: -1.063 [-1.259, -0.867]
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Parameterization:
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hartmann6: -1.514 [-1.710, -1.318]
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Parameterization:
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hartmann6: -2.107 [-2.303, -1.911]
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Parameterization:
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hartmann6: -1.612 [-1.808, -1.416]
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Parameterization:
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hartmann6: -1.02 [-1.216, -0.824]
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Parameterization:
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Parameterization:
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hartmann6: -0.02 [-0.212, 0.173]
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Parameterization:
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hartmann6: -0.071 [-0.265, 0.122]
l2norm: 1.306 [1.143, 1.469]

Parameterization:
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hartmann6: -0.118 [-0.301, 0.064]
l2norm: 1.373 [1.221, 1.526]

Parameterization:
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hartmann6: -0.013 [-0.205, 0.179]
l2norm: 1.239 [1.061, 1.416]

Parameterization:
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hartmann6: -0.462 [-0.639, -0.284]
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Parameterization:
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hartmann6: -0.437 [-0.621, -0.252]
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Parameterization:
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hartmann6: -0.0 [-0.192, 0.191]
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Parameterization:
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hartmann6: -0.157 [-0.348, 0.033]
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Parameterization:
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hartmann6: -0.107 [-0.291, 0.077]
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Parameterization:
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hartmann6: -0.068 [-0.256, 0.120]
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Parameterization:
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hartmann6: -0.567 [-0.758, -0.376]
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Parameterization:
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Parameterization:
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hartmann6: -0.098 [-0.285, 0.090]
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Parameterization:
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Parameterization:
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Parameterization:
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Parameterization:
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Parameterization:
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(plot_objective_vs_constraints(model, \"hartmann6\", rel=False))" ] }, { "cell_type": "markdown", "id": "d279160f", "metadata": { "originalKey": "f2d4fae3-2140-45d0-8142-49b91548ca59", "papermill": { "duration": 0.626236, "end_time": "2025-01-31T05:16:34.861241", "exception": false, "start_time": "2025-01-31T05:16:34.235005", "status": "completed" }, "tags": [] }, "source": [ "## 4. Cross-validation plots\n", "\n", "CV plots are useful to check how well the model predictions calibrate against the actual measurements. If all points are close to the dashed line, then the model is a good predictor of the real data." ] }, { "cell_type": "code", "execution_count": 8, "id": "3a92d603", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:16:36.160183Z", "iopub.status.busy": "2025-01-31T05:16:36.159562Z", "iopub.status.idle": "2025-01-31T05:16:36.384615Z", "shell.execute_reply": "2025-01-31T05:16:36.383819Z" }, "executionStartTime": 1627397871181, "executionStopTime": 1627397871526, "originalKey": "f770f8a9-466c-4fd2-b268-3a0d166482f3", "papermill": { "duration": 0.914703, "end_time": "2025-01-31T05:16:36.405361", "exception": false, "start_time": "2025-01-31T05:16:35.490658", "status": "completed" }, "requestMsgId": "d6242810-a316-4e2b-b9dd-dd4c56b725b7", "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "hoverinfo": "none", "line": { "color": "black", "dash": "dot", "width": 2 }, "mode": "lines", "showlegend": false, "type": "scatter", "visible": true, "x": [ -2.470494144984194, 1.2240773173248876 ], "y": [ -2.470494144984194, 1.2240773173248876 ] }, { "error_x": { "array": { "bdata": "SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT8=", "dtype": "f8" }, "color": "rgba(128,177,211,0.4)", "type": "data" }, "error_y": { "array": { "bdata": "zE3PEQfD5z9btDERyyHwPwHaEILh7PI/PhIYKHW13z+/tTvkILTvP58sZChnzdo/lSWwCA+M4T8H30XzkF3tP8IXeiL/juk/OUBaGxXa4D9k/Oz22VflPwR8pR70Juw/2udMJBHy2D+QmUwPTK3kP6hVRuNjaNA/0Y5LWSoOzT8SBNc1ANDPP06VW9AeE9A/RwlJ5dZs2D8=", "dtype": "f8" }, "color": "rgba(128,177,211,0.4)", "type": "data" }, "hoverinfo": "text", "marker": { "color": "rgba(128,177,211,1)" }, "mode": "markers", "name": "In-sample", "showlegend": true, "text": [ "Arm 0_0

Actual Outcome: -0.226 [-0.422, -0.030]
Predicted Outcome: -0.027 [-0.770, 0.715]

Parameterization:
x1: 0.131490558385849
x2: 0.48359182476997375
x3: 0.05384073778986931
x4: 0.807447612285614
x5: 0.6613724827766418
x6: 0.13499197363853455", "Arm 1_0

Actual Outcome: -0.022 [-0.218, 0.174]
Predicted Outcome: 0.048 [-0.960, 1.056]

Parameterization:
x1: 0.9301061034202576
x2: 0.891205832362175
x3: 0.7564074834808707
x4: 0.09962418023496866
x5: 0.1239856481552124
x6: 0.9778899047523737", "Arm 2_0

Actual Outcome: -0.058 [-0.254, 0.138]
Predicted Outcome: -0.544 [-1.727, 0.639]

Parameterization:
x1: 0.6894731214269996
x2: 0.07963309250772
x3: 0.47997619677335024
x4: 0.6493757544085383
x5: 0.4961228147149086
x6: 0.5255010286346078", "Arm 3_0

Actual Outcome: -0.125 [-0.321, 0.071]
Predicted Outcome: -0.079 [-0.574, 0.417]

Parameterization:
x1: 0.49687945283949375
x2: 0.545050261542201
x3: 0.7136966148391366
x4: 0.4415497602894902
x5: 0.7888768501579762
x6: 0.36863851360976696", "Arm 4_0

Actual Outcome: -0.006 [-0.202, 0.190]
Predicted Outcome: -0.197 [-1.188, 0.794]

Parameterization:
x1: 0.26477039977908134
x2: 0.15556240733712912
x3: 0.9673017337918282
x4: 0.26509038358926773
x5: 0.9460992617532611
x6: 0.0989869274199009", "Arm 5_0

Actual Outcome: -0.425 [-0.621, -0.229]
Predicted Outcome: -0.628 [-1.046, -0.209]

Parameterization:
x1: 0.5486724758520722
x2: 0.7196090510115027
x3: 0.23355842754244804
x4: 0.5816791262477636
x5: 0.26858123298734426
x6: 0.7560900850221515", "Arm 6_0

Actual Outcome: -0.441 [-0.637, -0.245]
Predicted Outcome: -0.405 [-0.953, 0.143]

Parameterization:
x1: 0.8239734675735235
x2: 0.2831502640619874
x3: 0.5027799513190985
x4: 0.169272031635046
x5: 0.1425455203279853
x6: 0.7397287338972092", "Arm 7_0

Actual Outcome: 0.011 [-0.185, 0.207]
Predicted Outcome: -0.249 [-1.167, 0.669]

Parameterization:
x1: 0.11471356730908155
x2: 0.8421357432380319
x3: 0.30025135166943073
x4: 0.9858619887381792
x5: 0.5725086955353618
x6: 0.39659067895263433", "Arm 8_0

Actual Outcome: -0.152 [-0.348, 0.044]
Predicted Outcome: -0.25 [-1.049, 0.549]

Parameterization:
x1: 0.046407184563577175
x2: 0.04449837561696768
x3: 0.5876295994967222
x4: 0.53349634911865
x5: 0.05369080230593681
x6: 0.3030745219439268", "Arm 9_0

Actual Outcome: -0.094 [-0.290, 0.102]
Predicted Outcome: -0.204 [-0.730, 0.323]

Parameterization:
x1: 0.7668975461274385
x2: 0.5802995404228568
x3: 0.35164729692041874
x4: 0.37364468071609735
x5: 0.7316377609968185
x6: 0.5832272181287408", "Arm 10_0

Actual Outcome: -0.065 [-0.261, 0.131]
Predicted Outcome: -0.108 [-0.774, 0.559]

Parameterization:
x1: 0.6046336712315679
x2: 0.3937115604057908
x3: 0.880765751004219
x4: 0.875406782142818
x5: 0.85914596170187
x6: 0.9125921372324228", "Arm 11_0

Actual Outcome: -0.568 [-0.764, -0.372]
Predicted Outcome: -0.552 [-1.432, 0.328]

Parameterization:
x1: 0.33391518145799637
x2: 0.9809720227494836
x3: 0.1760668344795704
x4: 0.2155562834814191
x5: 0.4258241392672062
x6: 0.1924977796152234", "Arm 12_0

Actual Outcome: -0.744 [-0.940, -0.548]
Predicted Outcome: -0.511 [-0.901, -0.121]

Parameterization:
x1: 0.41808422906189263
x2: 0.7599126885672787
x3: 0.1506989736551486
x4: 0.26412215126044125
x5: 0.2977876270808291
x6: 0.2792956067293235", "Arm 13_0

Actual Outcome: -0.081 [-0.277, 0.115]
Predicted Outcome: -0.285 [-0.931, 0.361]

Parameterization:
x1: 0.5503333415451401
x2: 0.5644177501197244
x3: 0.12999987346041156
x4: 0.08493551418407362
x5: 0.16216505997528952
x6: 0.34611407566063096", "Arm 14_0

Actual Outcome: -1.063 [-1.259, -0.867]
Predicted Outcome: -1.059 [-1.315, -0.802]

Parameterization:
x1: 0.3324069719181574
x2: 0.43350717969858477
x3: 0.31615113008669693
x4: 0.24723088572914026
x5: 0.2688430255177685
x6: 0.37114815712697224", "Arm 15_0

Actual Outcome: -1.514 [-1.710, -1.318]
Predicted Outcome: -1.618 [-1.845, -1.391]

Parameterization:
x1: 0.0832423795187508
x2: 0.2452004748477297
x3: 0.4324864317561189
x4: 0.2546579630452265
x5: 0.25492143136056117
x6: 0.38733650130171166", "Arm 16_0

Actual Outcome: -2.107 [-2.303, -1.911]
Predicted Outcome: -1.686 [-1.935, -1.438]

Parameterization:
x1: 0.0
x2: 0.02208998366849766
x3: 0.6030805741555477
x4: 0.26233279257747594
x5: 0.23609450072764496
x6: 0.5222717653984417", "Arm 17_0

Actual Outcome: -1.612 [-1.808, -1.416]
Predicted Outcome: -1.794 [-2.045, -1.543]

Parameterization:
x1: 0.0
x2: 0.0
x3: 0.7899024865264379
x4: 0.2694757142703667
x5: 0.21467557123333064
x6: 0.6838087951982109", "Arm 18_0

Actual Outcome: -1.02 [-1.216, -0.824]
Predicted Outcome: -1.093 [-1.475, -0.711]

Parameterization:
x1: 0.0
x2: 0.0
x3: 0.802059704496527
x4: 0.24676051705785526
x5: 0.15609719745479173
x6: 0.49190363188818514" ], "type": "scatter", "visible": true, "x": [ -0.22551987001558366, -0.022299486651026684, -0.05840665842682766, -0.12471301334446012, -0.005790522424139325, -0.42521055958941667, -0.44078742642370916, 0.011023408419475078, -0.15162089709043686, -0.09378631921320793, -0.0649685257910182, -0.5677377867767511, -0.7441648349312355, -0.08057205971434439, -1.0625430134297877, -1.5141986995446965, -2.106559078515599, -1.6120316777139445, -1.0200424375075547 ], "y": [ -0.027145740971814547, 0.047891950291831575, -0.5438117943155492, -0.07852195472957868, -0.19717555542647108, -0.6275769199166972, -0.40490432586121916, -0.2491426062558143, -0.25016569439960135, -0.2037912826306631, -0.10750540904011269, -0.55179305288208, -0.5111596720863347, -0.2853374457059424, -1.0588323065046978, -1.6184640157309254, -1.6864678526140016, -1.7936931013840578, -1.0930405983379976 ] }, { "hoverinfo": "none", "line": { "color": "black", "dash": "dot", "width": 2 }, "mode": "lines", "showlegend": false, "type": "scatter", "visible": false, "x": [ 0.3068806941352911, 2.3305256478777623 ], "y": [ 0.3068806941352911, 2.3305256478777623 ] }, { "error_x": { "array": { "bdata": "SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT9KDAIrhxbJP0oMAiuHFsk/SgwCK4cWyT8=", "dtype": "f8" }, "color": "rgba(128,177,211,0.4)", "type": "data" }, "error_y": { "array": { "bdata": "EbgmPhQt1z/KyHFjvfjdP6Ddfz9Q5tI/ieP1PVP6zj955cRrMbLaPw20ITpIKdM/eri42zYT0j/WZY6kGPDVP7Uoi3Eav9A/C481PhQU0D+eXI1rkcvcP4fJUWYq+NA/fW5IRG0KwT+Y9UgZqpnKP2s7qgCZzr8/kQzx7o23wz8/hsJw75zBPwFA73HNask/3zJtSNLbxD8=", "dtype": "f8" }, "color": "rgba(128,177,211,0.4)", "type": "data" }, "hoverinfo": "text", "marker": { "color": "rgba(128,177,211,1)" }, "mode": "markers", "name": "In-sample", "showlegend": true, "text": [ "Arm 0_0

Actual Outcome: 1.155 [0.959, 1.351]
Predicted Outcome: 1.164 [0.801, 1.526]

Parameterization:
x1: 0.131490558385849
x2: 0.48359182476997375
x3: 0.05384073778986931
x4: 0.807447612285614
x5: 0.6613724827766418
x6: 0.13499197363853455", "Arm 1_0

Actual Outcome: 1.828 [1.632, 2.024]
Predicted Outcome: 1.526 [1.057, 1.994]

Parameterization:
x1: 0.9301061034202576
x2: 0.891205832362175
x3: 0.7564074834808707
x4: 0.09962418023496866
x5: 0.1239856481552124
x6: 0.9778899047523737", "Arm 2_0

Actual Outcome: 1.346 [1.150, 1.542]
Predicted Outcome: 1.216 [0.920, 1.511]

Parameterization:
x1: 0.6894731214269996
x2: 0.07963309250772
x3: 0.47997619677335024
x4: 0.6493757544085383
x5: 0.4961228147149086
x6: 0.5255010286346078", "Arm 3_0

Actual Outcome: 1.365 [1.169, 1.561]
Predicted Outcome: 1.386 [1.144, 1.628]

Parameterization:
x1: 0.49687945283949375
x2: 0.545050261542201
x3: 0.7136966148391366
x4: 0.4415497602894902
x5: 0.7888768501579762
x6: 0.36863851360976696", "Arm 4_0

Actual Outcome: 1.237 [1.041, 1.433]
Predicted Outcome: 1.244 [0.827, 1.662]

Parameterization:
x1: 0.26477039977908134
x2: 0.15556240733712912
x3: 0.9673017337918282
x4: 0.26509038358926773
x5: 0.9460992617532611
x6: 0.0989869274199009", "Arm 5_0

Actual Outcome: 1.496 [1.300, 1.692]
Predicted Outcome: 1.452 [1.153, 1.752]

Parameterization:
x1: 0.5486724758520722
x2: 0.7196090510115027
x3: 0.23355842754244804
x4: 0.5816791262477636
x5: 0.26858123298734426
x6: 0.7560900850221515", "Arm 6_0

Actual Outcome: 1.128 [0.932, 1.324]
Predicted Outcome: 1.314 [1.032, 1.597]

Parameterization:
x1: 0.8239734675735235
x2: 0.2831502640619874
x3: 0.5027799513190985
x4: 0.169272031635046
x5: 0.1425455203279853
x6: 0.7397287338972092", "Arm 7_0

Actual Outcome: 1.504 [1.308, 1.700]
Predicted Outcome: 1.447 [1.105, 1.790]

Parameterization:
x1: 0.11471356730908155
x2: 0.8421357432380319
x3: 0.30025135166943073
x4: 0.9858619887381792
x5: 0.5725086955353618
x6: 0.39659067895263433", "Arm 8_0

Actual Outcome: 0.795 [0.599, 0.991]
Predicted Outcome: 0.907 [0.646, 1.169]

Parameterization:
x1: 0.046407184563577175
x2: 0.04449837561696768
x3: 0.5876295994967222
x4: 0.53349634911865
x5: 0.05369080230593681
x6: 0.3030745219439268", "Arm 9_0

Actual Outcome: 1.478 [1.282, 1.674]
Predicted Outcome: 1.409 [1.158, 1.660]

Parameterization:
x1: 0.7668975461274385
x2: 0.5802995404228568
x3: 0.35164729692041874
x4: 0.37364468071609735
x5: 0.7316377609968185
x6: 0.5832272181287408", "Arm 10_0

Actual Outcome: 1.995 [1.799, 2.191]
Predicted Outcome: 1.789 [1.339, 2.239]

Parameterization:
x1: 0.6046336712315679
x2: 0.3937115604057908
x3: 0.880765751004219
x4: 0.875406782142818
x5: 0.85914596170187
x6: 0.9125921372324228", "Arm 11_0

Actual Outcome: 1.125 [0.929, 1.321]
Predicted Outcome: 1.195 [0.930, 1.460]

Parameterization:
x1: 0.33391518145799637
x2: 0.9809720227494836
x3: 0.1760668344795704
x4: 0.2155562834814191
x5: 0.4258241392672062
x6: 0.1924977796152234", "Arm 12_0

Actual Outcome: 1.057 [0.861, 1.253]
Predicted Outcome: 1.007 [0.874, 1.140]

Parameterization:
x1: 0.41808422906189263
x2: 0.7599126885672787
x3: 0.1506989736551486
x4: 0.26412215126044125
x5: 0.2977876270808291
x6: 0.2792956067293235", "Arm 13_0

Actual Outcome: 0.889 [0.693, 1.085]
Predicted Outcome: 0.885 [0.677, 1.093]

Parameterization:
x1: 0.5503333415451401
x2: 0.5644177501197244
x3: 0.12999987346041156
x4: 0.08493551418407362
x5: 0.16216505997528952
x6: 0.34611407566063096", "Arm 14_0

Actual Outcome: 0.773 [0.577, 0.969]
Predicted Outcome: 0.811 [0.686, 0.935]

Parameterization:
x1: 0.3324069719181574
x2: 0.43350717969858477
x3: 0.31615113008669693
x4: 0.24723088572914026
x5: 0.2688430255177685
x6: 0.37114815712697224", "Arm 15_0

Actual Outcome: 0.595 [0.399, 0.791]
Predicted Outcome: 0.786 [0.632, 0.940]

Parameterization:
x1: 0.0832423795187508
x2: 0.2452004748477297
x3: 0.4324864317561189
x4: 0.2546579630452265
x5: 0.25492143136056117
x6: 0.38733650130171166", "Arm 16_0

Actual Outcome: 0.905 [0.709, 1.101]
Predicted Outcome: 0.872 [0.734, 1.009]

Parameterization:
x1: 0.0
x2: 0.02208998366849766
x3: 0.6030805741555477
x4: 0.26233279257747594
x5: 0.23609450072764496
x6: 0.5222717653984417", "Arm 17_0

Actual Outcome: 1.131 [0.935, 1.327]
Predicted Outcome: 1.136 [0.937, 1.335]

Parameterization:
x1: 0.0
x2: 0.0
x3: 0.7899024865264379
x4: 0.2694757142703667
x5: 0.21467557123333064
x6: 0.6838087951982109", "Arm 18_0

Actual Outcome: 1.053 [0.857, 1.249]
Predicted Outcome: 0.961 [0.798, 1.123]

Parameterization:
x1: 0.0
x2: 0.0
x3: 0.802059704496527
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cv_results = cross_validate(model)\n", "render(interact_cross_validation(cv_results))" ] }, { "cell_type": "markdown", "id": "35f7c548", "metadata": { "originalKey": "40f8ee99-fee8-4fd9-9cff-a7aa230dd5ae", "papermill": { "duration": 0.679695, "end_time": "2025-01-31T05:16:37.765950", "exception": false, "start_time": "2025-01-31T05:16:37.086255", "status": "completed" }, "tags": [] }, "source": [ "## 5. Slice plots\n", "\n", "Slice plots show the metric outcome as a function of one parameter while fixing the others. 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(plot_slice(model, \"x2\", \"hartmann6\"))" ] }, { "cell_type": "markdown", "id": "c566f6a9", "metadata": { "originalKey": "4975848f-31d4-4ed0-976c-39e3b7474fb7", "papermill": { "duration": 0.709995, "end_time": "2025-01-31T05:16:40.656527", "exception": false, "start_time": "2025-01-31T05:16:39.946532", "status": "completed" }, "tags": [] }, "source": [ "## 6. Tile plots\n", "\n", "Tile plots are useful for viewing the effect of each arm." ] }, { "cell_type": "code", "execution_count": 10, "id": "13ad223d", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:16:42.095365Z", "iopub.status.busy": "2025-01-31T05:16:42.095075Z", "iopub.status.idle": "2025-01-31T05:16:42.229893Z", "shell.execute_reply": "2025-01-31T05:16:42.229117Z" }, "executionStartTime": 1627397890236, "executionStopTime": 1627397890496, "originalKey": "2ed10008-8adf-4ce2-8334-04a4f2a3e895", "papermill": { "duration": 0.878639, "end_time": "2025-01-31T05:16:42.250790", "exception": false, "start_time": "2025-01-31T05:16:41.372151", "status": "completed" }, "requestMsgId": "33b593e6-2ec8-4bc4-b6e3-6586ddfb15c5", "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "error_y": { "array": { "bdata": "qPsuxNhByD957u9jgqDIP8ng7wMhwMg/mHg7sy9Uxz+R0zRta5zIPz3rHy34uMY/o/d3Zcyfxz/+X1xr3YjIPx6ipdl2Xcg/ly+FoCeDxz/h2z5Q+RHIP2cCusTVfMg/d8kRqeppxj+0eDTW/wHIP75Jb/ZA7sM/2dcEnSb9wj+xqCjXBbPDP1cKlAFNx8M/RIAn9CNRxj8=", "dtype": "f8" }, "color": "rgba(128,177,211,0.4)", "type": "data" }, "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "rgba(128,177,211,1)" }, "mode": "markers", "name": "In-sample", "showlegend": true, "text": [ "Arm 0_0

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l2norm: 1.783 [1.603, 1.964]

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l2norm: 1.306 [1.143, 1.469]

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l2norm: 1.239 [1.061, 1.416]

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x4: 0.5816791262477636
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l2norm: 1.189 [1.028, 1.350]

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Parameterization:
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Parameterization:
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Parameterization:
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Parameterization:
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"ticksuffix": "", "title": { "text": "Effect" }, "zeroline": true, "zerolinecolor": "red" } } }, "text/html": [ "
\n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(interact_fitted(model, rel=False))" ] }, { "cell_type": "markdown", "id": "3e460e3c", "metadata": { "papermill": { "duration": 0.761189, "end_time": "2025-01-31T05:16:43.774203", "exception": false, "start_time": "2025-01-31T05:16:43.013014", "status": "completed" }, "tags": [] }, "source": [ "## Fix for plots that are not rendering\n", "\n", "In certain environments like Google Colab or remote setups, plots may not render. If this is the case, we recommend using the below workaround which overrides the default renderer in plotly. The below cell changes the renderer to \"jupyterlab\" for this tutorial, but you can find the right renderer for your use case by calling `pio.renderers`" ] }, { "cell_type": "code", "execution_count": 11, "id": "430bf6ec", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:16:45.329784Z", "iopub.status.busy": "2025-01-31T05:16:45.329197Z", "iopub.status.idle": "2025-01-31T05:16:45.849078Z", "shell.execute_reply": "2025-01-31T05:16:45.848390Z" }, "papermill": { "duration": 1.283294, "end_time": "2025-01-31T05:16:45.853280", "exception": false, "start_time": "2025-01-31T05:16:44.569986", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:16:45] ax.service.ax_client: Retrieving contour plot with parameter 'x1' on X-axis and 'x2' on Y-axis, for metric 'hartmann6'. 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