{ "cells": [ { "cell_type": "markdown", "id": "278b5e71", "metadata": { "originalKey": "e23719d9-8a24-4208-8439-34e7b8270c79", "papermill": { "duration": 0.003898, "end_time": "2023-12-09T18:38:22.817188", "exception": false, "start_time": "2023-12-09T18:38:22.813290", "status": "completed" }, "tags": [] }, "source": [ "# Visualizations\n", "\n", "This tutorial illustrates the core visualization utilities available in Ax." ] }, { "cell_type": "code", "execution_count": 1, "id": "b803fdcd", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2023-12-09T18:38:22.825029Z", "iopub.status.busy": "2023-12-09T18:38:22.824416Z", "iopub.status.idle": "2023-12-09T18:38:25.990472Z", "shell.execute_reply": "2023-12-09T18:38:25.989651Z" }, "executionStartTime": 1627652821316, "executionStopTime": 1627652822868, "hidden_ranges": [], "originalKey": "101b0e96-5b3d-48c5-bf3c-677b4ddf90c7", "papermill": { "duration": 3.187267, "end_time": "2023-12-09T18:38:26.007653", "exception": false, "start_time": "2023-12-09T18:38:22.820386", "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 12-09 18:38:25] ax.utils.notebook.plotting: Injecting Plotly library into cell. Do not overwrite or delete cell.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:25] 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", " " ] }, "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": "3268843c", "metadata": { "code_folding": [], "hidden_ranges": [], "originalKey": "8449378f-890e-4e76-8d73-ce2aa4120a69", "papermill": { "duration": 0.034776, "end_time": "2023-12-09T18:38:26.077315", "exception": false, "start_time": "2023-12-09T18:38:26.042539", "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": "464a76c5", "metadata": { "originalKey": "f7544e06-6c6a-4841-b659-3be6a198a948", "papermill": { "duration": 0.034481, "end_time": "2023-12-09T18:38:26.146288", "exception": false, "start_time": "2023-12-09T18:38:26.111807", "status": "completed" }, "tags": [] }, "source": [ "#### 1a. Define search space and evaluation function" ] }, { "cell_type": "code", "execution_count": 2, "id": "332a7e75", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2023-12-09T18:38:26.217359Z", "iopub.status.busy": "2023-12-09T18:38:26.216854Z", "iopub.status.idle": "2023-12-09T18:38:26.221920Z", "shell.execute_reply": "2023-12-09T18:38:26.221274Z" }, "executionStartTime": 1627652824829, "executionStopTime": 1627652824877, "hidden_ranges": [], "originalKey": "28f6cb76-828f-445d-bdda-ba057c87dcd0", "papermill": { "duration": 0.042442, "end_time": "2023-12-09T18:38:26.223340", "exception": false, "start_time": "2023-12-09T18:38:26.180898", "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": "f59f1010", "metadata": { "originalKey": "17a51543-298e-47d4-bcd9-33459fe1169e", "papermill": { "duration": 0.034081, "end_time": "2023-12-09T18:38:26.291514", "exception": false, "start_time": "2023-12-09T18:38:26.257433", "status": "completed" }, "tags": [] }, "source": [ "#### 1b. Create Experiment" ] }, { "cell_type": "code", "execution_count": 3, "id": "04aea579", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2023-12-09T18:38:26.361849Z", "iopub.status.busy": "2023-12-09T18:38:26.361211Z", "iopub.status.idle": "2023-12-09T18:38:26.375510Z", "shell.execute_reply": "2023-12-09T18:38:26.374877Z" }, "executionStartTime": 1627654956712, "executionStopTime": 1627654956823, "hidden_ranges": [], "originalKey": "6fca889c-a4ff-42ef-a669-6eb8803de89c", "papermill": { "duration": 0.051186, "end_time": "2023-12-09T18:38:26.377053", "exception": false, "start_time": "2023-12-09T18:38:26.325867", "status": "completed" }, "requestMsgId": "905eff52-e649-4bd5-abf0-ff69c1549852", "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] 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 12-09 18:38:26] 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 12-09 18:38:26] 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 12-09 18:38:26] 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 12-09 18:38:26] 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 12-09 18:38:26] 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 12-09 18:38:26] 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 12-09 18:38:26] 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 12-09 18:38:26] ax.modelbridge.dispatch_utils: Using Models.BOTORCH_MODULAR since there are more ordered parameters than there are categories for the unordered categorical parameters.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] 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 12-09 18:38:26] ax.modelbridge.dispatch_utils: calculated num_initialization_trials=12\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.modelbridge.dispatch_utils: num_completed_initialization_trials=0 num_remaining_initialization_trials=12\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] 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 12-09 18:38:26] 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": "79bb0e6f", "metadata": { "code_folding": [], "hidden_ranges": [], "originalKey": "ab892f7c-4830-4c1d-b476-ec1078ec3faf", "papermill": { "duration": 0.034957, "end_time": "2023-12-09T18:38:26.447164", "exception": false, "start_time": "2023-12-09T18:38:26.412207", "status": "completed" }, "showInput": false, "tags": [] }, "source": [ "#### 1c. Run the optimization and fit a GP on all data" ] }, { "cell_type": "code", "execution_count": 4, "id": "f914548c", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2023-12-09T18:38:26.519521Z", "iopub.status.busy": "2023-12-09T18:38:26.518865Z", "iopub.status.idle": "2023-12-09T18:39:28.472978Z", "shell.execute_reply": "2023-12-09T18:39:28.472311Z" }, "executionStartTime": 1627654642967, "executionStopTime": 1627654862819, "hidden_ranges": [], "originalKey": "7269a5ba-45c8-4acf-ac83-a5ea8a52d6c1", "papermill": { "duration": 61.992526, "end_time": "2023-12-09T18:39:28.474950", "exception": false, "start_time": "2023-12-09T18:38:26.482424", "status": "completed" }, "requestMsgId": "c7a4dea8-fd6d-4e1a-84de-ad973ede0cd7", "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 0 with parameters {'x1': 0.717836, 'x2': 0.867509, 'x3': 0.411843, 'x4': 0.557453, 'x5': 0.930346, 'x6': 0.487641}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 0 with data: {'hartmann6': (-0.026916, 0.1), 'l2norm': (1.669672, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 1 with parameters {'x1': 0.364309, 'x2': 0.48863, 'x3': 0.479126, 'x4': 0.708059, 'x5': 0.833789, 'x6': 0.258907}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 1 with data: {'hartmann6': (-0.428, 0.1), 'l2norm': (1.481896, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 2 with parameters {'x1': 0.881429, 'x2': 0.640834, 'x3': 0.583128, 'x4': 0.379465, 'x5': 0.394699, 'x6': 0.083646}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 2 with data: {'hartmann6': (-0.035703, 0.1), 'l2norm': (1.407078, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 3 with parameters {'x1': 0.22264, 'x2': 0.546985, 'x3': 0.938589, 'x4': 0.811344, 'x5': 0.799448, 'x6': 0.3494}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 3 with data: {'hartmann6': (-0.157674, 0.1), 'l2norm': (1.601964, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 4 with parameters {'x1': 0.264638, 'x2': 0.787066, 'x3': 0.569831, 'x4': 0.4533, 'x5': 0.135156, 'x6': 0.178554}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 4 with data: {'hartmann6': (-1.446214, 0.1), 'l2norm': (1.153204, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 5 with parameters {'x1': 0.963348, 'x2': 0.129555, 'x3': 0.196904, 'x4': 0.302237, 'x5': 0.831323, 'x6': 0.860621}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 5 with data: {'hartmann6': (0.037397, 0.1), 'l2norm': (1.583259, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 6 with parameters {'x1': 0.724607, 'x2': 0.829436, 'x3': 0.814764, 'x4': 0.874378, 'x5': 0.484756, 'x6': 0.200474}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 6 with data: {'hartmann6': (-0.13446, 0.1), 'l2norm': (1.634034, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 7 with parameters {'x1': 0.560857, 'x2': 0.444827, 'x3': 0.482693, 'x4': 0.193291, 'x5': 0.153528, 'x6': 0.630369}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 7 with data: {'hartmann6': (-1.113004, 0.1), 'l2norm': (1.123313, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 8 with parameters {'x1': 0.6662, 'x2': 0.966202, 'x3': 0.300971, 'x4': 0.321722, 'x5': 0.42957, 'x6': 0.909311}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 8 with data: {'hartmann6': (-0.227831, 0.1), 'l2norm': (1.708066, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 9 with parameters {'x1': 0.218835, 'x2': 0.060056, 'x3': 0.419158, 'x4': 0.823246, 'x5': 0.631888, 'x6': 0.78678}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 9 with data: {'hartmann6': (-0.14057, 0.1), 'l2norm': (1.285344, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 10 with parameters {'x1': 0.700078, 'x2': 0.638961, 'x3': 0.642547, 'x4': 0.728778, 'x5': 0.786412, 'x6': 0.768077}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 10 with data: {'hartmann6': (-0.083595, 0.1), 'l2norm': (1.72349, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Generated new trial 11 with parameters {'x1': 0.438328, 'x2': 0.132198, 'x3': 0.392784, 'x4': 0.340328, 'x5': 0.979764, 'x6': 0.811956}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:26] ax.service.ax_client: Completed trial 11 with data: {'hartmann6': (-0.103516, 0.1), 'l2norm': (1.556576, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:31] ax.service.ax_client: Generated new trial 12 with parameters {'x1': 0.301999, 'x2': 0.692386, 'x3': 0.546606, 'x4': 0.380032, 'x5': 0.111498, 'x6': 0.272188}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:31] ax.service.ax_client: Completed trial 12 with data: {'hartmann6': (-0.959199, 0.1), 'l2norm': (1.079562, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:38] ax.service.ax_client: Generated new trial 13 with parameters {'x1': 0.21781, 'x2': 0.819848, 'x3': 0.550377, 'x4': 0.451543, 'x5': 0.105043, 'x6': 0.112515}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:38] ax.service.ax_client: Completed trial 13 with data: {'hartmann6': (-1.306366, 0.1), 'l2norm': (1.167894, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:44] ax.service.ax_client: Generated new trial 14 with parameters {'x1': 0.251789, 'x2': 0.855182, 'x3': 0.590875, 'x4': 0.517109, 'x5': 0.14953, 'x6': 0.186671}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:44] ax.service.ax_client: Completed trial 14 with data: {'hartmann6': (-1.36519, 0.1), 'l2norm': (1.191117, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:52] ax.service.ax_client: Generated new trial 15 with parameters {'x1': 0.282151, 'x2': 0.798814, 'x3': 0.595753, 'x4': 0.482203, 'x5': 0.179543, 'x6': 0.098228}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:52] ax.service.ax_client: Completed trial 15 with data: {'hartmann6': (-2.001797, 0.1), 'l2norm': (1.187921, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:59] ax.service.ax_client: Generated new trial 16 with parameters {'x1': 0.300518, 'x2': 0.747963, 'x3': 0.593445, 'x4': 0.446647, 'x5': 0.211808, 'x6': 0.061964}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:38:59] ax.service.ax_client: Completed trial 16 with data: {'hartmann6': (-1.92168, 0.1), 'l2norm': (0.995027, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:39:04] ax.service.ax_client: Generated new trial 17 with parameters {'x1': 0.320803, 'x2': 0.808672, 'x3': 0.626271, 'x4': 0.512085, 'x5': 0.189916, 'x6': 0.043484}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:39:04] ax.service.ax_client: Completed trial 17 with data: {'hartmann6': (-2.674456, 0.1), 'l2norm': (1.305926, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:39:19] ax.service.ax_client: Generated new trial 18 with parameters {'x1': 0.355405, 'x2': 0.791758, 'x3': 0.601559, 'x4': 0.502884, 'x5': 0.134105, 'x6': 0.003507}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:39:19] ax.service.ax_client: Completed trial 18 with data: {'hartmann6': (-2.760813, 0.1), 'l2norm': (1.159587, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:39:28] ax.service.ax_client: Generated new trial 19 with parameters {'x1': 0.360559, 'x2': 0.81132, 'x3': 0.639645, 'x4': 0.534901, 'x5': 0.155799, 'x6': 0.0}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:39:28] ax.service.ax_client: Completed trial 19 with data: {'hartmann6': (-2.954836, 0.1), 'l2norm': (1.256104, 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": "c72222de", "metadata": { "originalKey": "72f4d3e7-fa04-43d0-8451-ded292e705df", "papermill": { "duration": 0.049645, "end_time": "2023-12-09T18:39:28.587032", "exception": false, "start_time": "2023-12-09T18:39:28.537387", "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": "cf9ab70f", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2023-12-09T18:39:28.662023Z", "iopub.status.busy": "2023-12-09T18:39:28.661273Z", "iopub.status.idle": "2023-12-09T18:39:29.385964Z", "shell.execute_reply": "2023-12-09T18:39:29.385230Z" }, "executionStartTime": 1627654870209, "executionStopTime": 1627654871972, "hidden_ranges": [], "originalKey": "843df85c-965d-4a83-9fe1-696225d81c0f", "papermill": { "duration": 0.766865, "end_time": "2023-12-09T18:39:29.390532", "exception": false, "start_time": "2023-12-09T18:39:28.623667", "status": "completed" }, "requestMsgId": "4a643541-867c-46b6-868d-64337920c2a3", "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:39:28] 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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" ] }, "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": "4b255ada", "metadata": { "originalKey": "1de0991a-d99b-4d07-acec-4a2eb4a20a73", "papermill": { "duration": 0.050955, "end_time": "2023-12-09T18:39:29.492502", "exception": false, "start_time": "2023-12-09T18:39:29.441547", "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": "834bc417", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2023-12-09T18:39:29.596196Z", "iopub.status.busy": "2023-12-09T18:39:29.595344Z", "iopub.status.idle": "2023-12-09T18:39:48.184240Z", "shell.execute_reply": "2023-12-09T18:39:48.183244Z" }, "executionStartTime": 1627652959076, "executionStopTime": 1627652982911, "hidden_ranges": [], "originalKey": "4af9f166-0163-4ff5-9ecb-f534a69efe3d", "papermill": { "duration": 18.767426, "end_time": "2023-12-09T18:39:48.310853", "exception": false, "start_time": "2023-12-09T18:39:29.543427", "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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{ "size": 11 }, "tickmode": "auto", "type": "linear" } } }, "text/html": [ "
" ] }, "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": "b60149d9", "metadata": { "originalKey": "1ff470bb-5daf-4179-b814-01cc80dafe3e", "papermill": { "duration": 0.510567, "end_time": "2023-12-09T18:39:49.330962", "exception": false, "start_time": "2023-12-09T18:39:48.820395", "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": "94a31381", "metadata": { "execution": { "iopub.execute_input": "2023-12-09T18:39:50.346578Z", "iopub.status.busy": "2023-12-09T18:39:50.345839Z", "iopub.status.idle": "2023-12-09T18:39:50.462916Z", "shell.execute_reply": "2023-12-09T18:39:50.462217Z" }, "executionStartTime": 1627652996903, "executionStopTime": 1627652997294, "originalKey": "57023556-0293-44ef-91d6-81b911ff41d3", "papermill": { "duration": 0.625434, "end_time": "2023-12-09T18:39:50.464674", "exception": false, "start_time": "2023-12-09T18:39:49.839240", "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": [ 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196 ], "color": "rgba(128,177,211,0.4)", "type": "data" }, "error_y": { "array": [ 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196 ], "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: -0.027 [-0.223, 0.169]
l2norm: 1.67 [1.474, 1.866]

Parameterization:
x1: 0.7178358435630798
x2: 0.8675094246864319
x3: 0.41184312105178833
x4: 0.5574531555175781
x5: 0.9303459525108337
x6: 0.4876413345336914", "Arm 1_0

hartmann6: -0.428 [-0.624, -0.232]
l2norm: 1.482 [1.286, 1.678]

Parameterization:
x1: 0.364308824762702
x2: 0.4886300740763545
x3: 0.47912589740008116
x4: 0.708058794029057
x5: 0.8337889788672328
x6: 0.25890658888965845", "Arm 2_0

hartmann6: -0.036 [-0.232, 0.160]
l2norm: 1.407 [1.211, 1.603]

Parameterization:
x1: 0.8814287204295397
x2: 0.6408339403569698
x3: 0.5831275405362248
x4: 0.3794651171192527
x5: 0.3946994310244918
x6: 0.08364642690867186", "Arm 3_0

hartmann6: -0.158 [-0.354, 0.038]
l2norm: 1.602 [1.406, 1.798]

Parameterization:
x1: 0.2226401101797819
x2: 0.546984632499516
x3: 0.9385889135301113
x4: 0.8113436801359057
x5: 0.7994475681334734
x6: 0.3494002753868699", "Arm 4_0

hartmann6: -1.446 [-1.642, -1.250]
l2norm: 1.153 [0.957, 1.349]

Parameterization:
x1: 0.26463759411126375
x2: 0.7870658673346043
x3: 0.5698311915621161
x4: 0.45330036897212267
x5: 0.13515578024089336
x6: 0.1785535179078579", "Arm 5_0

hartmann6: 0.037 [-0.159, 0.233]
l2norm: 1.583 [1.387, 1.779]

Parameterization:
x1: 0.9633478643372655
x2: 0.1295550223439932
x3: 0.1969043416902423
x4: 0.3022368149831891
x5: 0.8313231281936169
x6: 0.8606205554679036", "Arm 6_0

hartmann6: -0.134 [-0.330, 0.062]
l2norm: 1.634 [1.438, 1.830]

Parameterization:
x1: 0.7246069461107254
x2: 0.8294364186003804
x3: 0.814763798378408
x4: 0.8743782341480255
x5: 0.48475636821240187
x6: 0.20047391206026077", "Arm 7_0

hartmann6: -1.113 [-1.309, -0.917]
l2norm: 1.123 [0.927, 1.319]

Parameterization:
x1: 0.5608566822484136
x2: 0.4448274113237858
x3: 0.4826934188604355
x4: 0.19329072162508965
x5: 0.15352841839194298
x6: 0.6303687645122409", "Arm 8_0

hartmann6: -0.228 [-0.424, -0.032]
l2norm: 1.708 [1.512, 1.904]

Parameterization:
x1: 0.6662000622600317
x2: 0.9662022683769464
x3: 0.3009706437587738
x4: 0.3217223919928074
x5: 0.4295704700052738
x6: 0.909311349503696", "Arm 9_0

hartmann6: -0.141 [-0.337, 0.055]
l2norm: 1.285 [1.089, 1.481]

Parameterization:
x1: 0.2188348500058055
x2: 0.06005643866956234
x3: 0.41915846336632967
x4: 0.8232462285086513
x5: 0.6318878587335348
x6: 0.7867801962420344", "Arm 10_0

hartmann6: -0.084 [-0.280, 0.112]
l2norm: 1.723 [1.527, 1.919]

Parameterization:
x1: 0.7000782312825322
x2: 0.6389608113095164
x3: 0.642547438852489
x4: 0.7287782737985253
x5: 0.7864115489646792
x6: 0.7680771928280592", "Arm 11_0

hartmann6: -0.104 [-0.300, 0.092]
l2norm: 1.557 [1.361, 1.753]

Parameterization:
x1: 0.4383275434374809
x2: 0.13219796307384968
x3: 0.39278437104076147
x4: 0.34032820258289576
x5: 0.9797635432332754
x6: 0.8119558002799749", "Arm 12_0

hartmann6: -0.959 [-1.155, -0.763]
l2norm: 1.08 [0.884, 1.276]

Parameterization:
x1: 0.30199850800552985
x2: 0.6923863751044141
x3: 0.5466062554486258
x4: 0.380031636590867
x5: 0.11149761066821018
x6: 0.27218765000856676", "Arm 13_0

hartmann6: -1.306 [-1.502, -1.110]
l2norm: 1.168 [0.972, 1.364]

Parameterization:
x1: 0.21781048798021602
x2: 0.8198480765300948
x3: 0.5503769700366434
x4: 0.4515427544723812
x5: 0.10504259935361736
x6: 0.1125151064497505", "Arm 14_0

hartmann6: -1.365 [-1.561, -1.169]
l2norm: 1.191 [0.995, 1.387]

Parameterization:
x1: 0.25178938514430355
x2: 0.8551820670003675
x3: 0.5908745716398346
x4: 0.5171094126324104
x5: 0.14953042680579237
x6: 0.18667065147260414", "Arm 15_0

hartmann6: -2.002 [-2.198, -1.806]
l2norm: 1.188 [0.992, 1.384]

Parameterization:
x1: 0.2821507786340373
x2: 0.7988135892406215
x3: 0.5957529668146583
x4: 0.4822025228172188
x5: 0.17954288098415067
x6: 0.09822839427052793", "Arm 16_0

hartmann6: -1.922 [-2.118, -1.726]
l2norm: 0.995 [0.799, 1.191]

Parameterization:
x1: 0.3005176060538946
x2: 0.7479634310107112
x3: 0.5934452290769817
x4: 0.4466465377550686
x5: 0.21180837480867362
x6: 0.061963794676068426", "Arm 17_0

hartmann6: -2.674 [-2.870, -2.478]
l2norm: 1.306 [1.110, 1.502]

Parameterization:
x1: 0.32080324118302667
x2: 0.8086724713373012
x3: 0.6262711973546213
x4: 0.5120850008023334
x5: 0.18991628502652574
x6: 0.043484100558140885", "Arm 18_0

hartmann6: -2.761 [-2.957, -2.565]
l2norm: 1.16 [0.964, 1.356]

Parameterization:
x1: 0.35540453320926
x2: 0.7917580170108934
x3: 0.6015592823233791
x4: 0.5028835465517097
x5: 0.13410534995067996
x6: 0.00350655470745282" ], "type": "scatter", "visible": false, "x": [ -0.026915999568674295, -0.4280003614772728, -0.035703078324137306, -0.15767440286232914, -1.4462140690113403, 0.03739689314123493, -0.13446013274366014, -1.1130041153996793, -0.22783085991966173, -0.14056970116761058, -0.08359545945364617, -0.1035164412859603, -0.9591994460193286, -1.3063655787446835, -1.3651902221858063, -2.0017968627912888, -1.9216796832875613, -2.6744556508146493, -2.760813207326172 ], "y": [ 1.6696722090424945, 1.481895959769863, 1.4070777436741304, 1.601964296294555, 1.1532040400814545, 1.5832591085377379, 1.6340339375134918, 1.123312534455164, 1.7080661373977393, 1.2853443667968225, 1.7234899775648034, 1.5565756649842293, 1.0795619298441044, 1.1678941191522214, 1.1911171134064549, 1.187921407715766, 0.995027140384054, 1.3059258167981802, 1.1595870683123426 ] }, { "error_x": { "array": [ 0.19404622791219822, 0.19406880292275325, 0.1942199801795121, 0.194108746425809, 0.15963833152514267, 0.1942489685818659, 0.19419655237390945, 0.19418312109665456, 0.19420152753040185, 0.19422679973666201, 0.19406291195986716, 0.1942245065335801, 0.18974803606148047, 0.18535259620102207, 0.18040286742340592, 0.1415383757176065, 0.17534577190779574, 0.16164455490712484, 0.18215037261969205 ], "color": "rgba(128,177,211,0.4)", "type": "data" }, "error_y": { "array": [ 0.17029867338977417, 0.16955123261033775, 0.1714790405118301, 0.17175580575446797, 0.08907614824803903, 0.17285718924033625, 0.17182611049594915, 0.1709818814992073, 0.17317657181374999, 0.1731458605553755, 0.16921983174629684, 0.17191805321461617, 0.1403491384891232, 0.1145136985697602, 0.11599444451595811, 0.08167613487910684, 0.11062374276372657, 0.10207421600179295, 0.11820862130452314 ], "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: -0.032 [-0.226, 0.162]
l2norm: 1.648 [1.477, 1.818]

Parameterization:
x1: 0.7178358435630798
x2: 0.8675094246864319
x3: 0.41184312105178833
x4: 0.5574531555175781
x5: 0.9303459525108337
x6: 0.4876413345336914", "Arm 1_0

hartmann6: -0.427 [-0.621, -0.233]
l2norm: 1.493 [1.324, 1.663]

Parameterization:
x1: 0.364308824762702
x2: 0.4886300740763545
x3: 0.47912589740008116
x4: 0.708058794029057
x5: 0.8337889788672328
x6: 0.25890658888965845", "Arm 2_0

hartmann6: -0.043 [-0.237, 0.152]
l2norm: 1.408 [1.236, 1.579]

Parameterization:
x1: 0.8814287204295397
x2: 0.6408339403569698
x3: 0.5831275405362248
x4: 0.3794651171192527
x5: 0.3946994310244918
x6: 0.08364642690867186", "Arm 3_0

hartmann6: -0.163 [-0.357, 0.031]
l2norm: 1.577 [1.405, 1.749]

Parameterization:
x1: 0.2226401101797819
x2: 0.546984632499516
x3: 0.9385889135301113
x4: 0.8113436801359057
x5: 0.7994475681334734
x6: 0.3494002753868699", "Arm 4_0

hartmann6: -1.419 [-1.579, -1.259]
l2norm: 1.145 [1.056, 1.234]

Parameterization:
x1: 0.26463759411126375
x2: 0.7870658673346043
x3: 0.5698311915621161
x4: 0.45330036897212267
x5: 0.13515578024089336
x6: 0.1785535179078579", "Arm 5_0

hartmann6: 0.03 [-0.164, 0.224]
l2norm: 1.564 [1.392, 1.737]

Parameterization:
x1: 0.9633478643372655
x2: 0.1295550223439932
x3: 0.1969043416902423
x4: 0.3022368149831891
x5: 0.8313231281936169
x6: 0.8606205554679036", "Arm 6_0

hartmann6: -0.14 [-0.334, 0.054]
l2norm: 1.604 [1.432, 1.776]

Parameterization:
x1: 0.7246069461107254
x2: 0.8294364186003804
x3: 0.814763798378408
x4: 0.8743782341480255
x5: 0.48475636821240187
x6: 0.20047391206026077", "Arm 7_0

hartmann6: -1.099 [-1.293, -0.905]
l2norm: 1.185 [1.014, 1.356]

Parameterization:
x1: 0.5608566822484136
x2: 0.4448274113237858
x3: 0.4826934188604355
x4: 0.19329072162508965
x5: 0.15352841839194298
x6: 0.6303687645122409", "Arm 8_0

hartmann6: -0.231 [-0.425, -0.037]
l2norm: 1.651 [1.478, 1.824]

Parameterization:
x1: 0.6662000622600317
x2: 0.9662022683769464
x3: 0.3009706437587738
x4: 0.3217223919928074
x5: 0.4295704700052738
x6: 0.909311349503696", "Arm 9_0

hartmann6: -0.144 [-0.339, 0.050]
l2norm: 1.329 [1.156, 1.502]

Parameterization:
x1: 0.2188348500058055
x2: 0.06005643866956234
x3: 0.41915846336632967
x4: 0.8232462285086513
x5: 0.6318878587335348
x6: 0.7867801962420344", "Arm 10_0

hartmann6: -0.087 [-0.281, 0.107]
l2norm: 1.684 [1.514, 1.853]

Parameterization:
x1: 0.7000782312825322
x2: 0.6389608113095164
x3: 0.642547438852489
x4: 0.7287782737985253
x5: 0.7864115489646792
x6: 0.7680771928280592", "Arm 11_0

hartmann6: -0.108 [-0.303, 0.086]
l2norm: 1.54 [1.368, 1.712]

Parameterization:
x1: 0.4383275434374809
x2: 0.13219796307384968
x3: 0.39278437104076147
x4: 0.34032820258289576
x5: 0.9797635432332754
x6: 0.8119558002799749", "Arm 12_0

hartmann6: -0.967 [-1.157, -0.778]
l2norm: 1.108 [0.967, 1.248]

Parameterization:
x1: 0.30199850800552985
x2: 0.6923863751044141
x3: 0.5466062554486258
x4: 0.380031636590867
x5: 0.11149761066821018
x6: 0.27218765000856676", "Arm 13_0

hartmann6: -1.308 [-1.494, -1.123]
l2norm: 1.168 [1.053, 1.283]

Parameterization:
x1: 0.21781048798021602
x2: 0.8198480765300948
x3: 0.5503769700366434
x4: 0.4515427544723812
x5: 0.10504259935361736
x6: 0.1125151064497505", "Arm 14_0

hartmann6: -1.402 [-1.582, -1.221]
l2norm: 1.211 [1.095, 1.327]

Parameterization:
x1: 0.25178938514430355
x2: 0.8551820670003675
x3: 0.5908745716398346
x4: 0.5171094126324104
x5: 0.14953042680579237
x6: 0.18667065147260414", "Arm 15_0

hartmann6: -1.998 [-2.140, -1.857]
l2norm: 1.167 [1.085, 1.249]

Parameterization:
x1: 0.2821507786340373
x2: 0.7988135892406215
x3: 0.5957529668146583
x4: 0.4822025228172188
x5: 0.17954288098415067
x6: 0.09822839427052793", "Arm 16_0

hartmann6: -1.974 [-2.149, -1.798]
l2norm: 1.138 [1.028, 1.249]

Parameterization:
x1: 0.3005176060538946
x2: 0.7479634310107112
x3: 0.5934452290769817
x4: 0.4466465377550686
x5: 0.21180837480867362
x6: 0.061963794676068426", "Arm 17_0

hartmann6: -2.599 [-2.761, -2.438]
l2norm: 1.204 [1.102, 1.306]

Parameterization:
x1: 0.32080324118302667
x2: 0.8086724713373012
x3: 0.6262711973546213
x4: 0.5120850008023334
x5: 0.18991628502652574
x6: 0.043484100558140885", "Arm 18_0

hartmann6: -2.738 [-2.920, -2.555]
l2norm: 1.192 [1.074, 1.310]

Parameterization:
x1: 0.35540453320926
x2: 0.7917580170108934
x3: 0.6015592823233791
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(plot_objective_vs_constraints(model, \"hartmann6\", rel=False))" ] }, { "cell_type": "markdown", "id": "4fd0b1ab", "metadata": { "originalKey": "f2d4fae3-2140-45d0-8142-49b91548ca59", "papermill": { "duration": 0.513062, "end_time": "2023-12-09T18:39:51.489472", "exception": false, "start_time": "2023-12-09T18:39:50.976410", "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": "bc4a9ff8", "metadata": { "execution": { "iopub.execute_input": "2023-12-09T18:39:52.520095Z", "iopub.status.busy": "2023-12-09T18:39:52.519497Z", "iopub.status.idle": "2023-12-09T18:39:52.723869Z", "shell.execute_reply": "2023-12-09T18:39:52.723195Z" }, "executionStartTime": 1627397871181, "executionStopTime": 1627397871526, "originalKey": "f770f8a9-466c-4fd2-b268-3a0d166482f3", "papermill": { "duration": 0.723786, "end_time": "2023-12-09T18:39:52.725834", "exception": false, "start_time": "2023-12-09T18:39:52.002048", "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": [ 0.7427581195243488, 1.980676578437866 ], "y": [ 0.7427581195243488, 1.980676578437866 ] }, { "error_x": { "array": [ 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196, 0.196 ], "color": "rgba(128,177,211,0.4)", "type": "data" }, "error_y": { "array": [ 0.34401065410860954, 0.337971576748943, 0.35406426734743696, 0.35651996172476164, 0.09999994521247955, 0.3666961412324868, 0.357150026767092, 0.3497490383341662, 0.36977513488793057, 0.3694764368448729, 0.3353694538294489, 0.35797789543460645, 0.20106418449239177, 0.14110123922050335, 0.14389965672408916, 0.08984905667286874, 0.1340086934805068, 0.119568699250225, 0.14819393861096847 ], "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: 1.67 [1.474, 1.866]
Predicted Outcome: 1.58 [1.236, 1.924]

Parameterization:
x1: 0.7178358435630798
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Actual Outcome: 1.482 [1.286, 1.678]
Predicted Outcome: 1.527 [1.189, 1.865]

Parameterization:
x1: 0.364308824762702
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x3: 0.47912589740008116
x4: 0.708058794029057
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x6: 0.25890658888965845", "Arm 2_0

Actual Outcome: 1.407 [1.211, 1.603]
Predicted Outcome: 1.411 [1.057, 1.765]

Parameterization:
x1: 0.8814287204295397
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x3: 0.5831275405362248
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Actual Outcome: 1.602 [1.406, 1.798]
Predicted Outcome: 1.495 [1.139, 1.852]

Parameterization:
x1: 0.2226401101797819
x2: 0.546984632499516
x3: 0.9385889135301113
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Actual Outcome: 1.153 [0.957, 1.349]
Predicted Outcome: 1.143 [1.043, 1.243]

Parameterization:
x1: 0.26463759411126375
x2: 0.7870658673346043
x3: 0.5698311915621161
x4: 0.45330036897212267
x5: 0.13515578024089336
x6: 0.1785535179078579", "Arm 5_0

Actual Outcome: 1.583 [1.387, 1.779]
Predicted Outcome: 1.499 [1.132, 1.865]

Parameterization:
x1: 0.9633478643372655
x2: 0.1295550223439932
x3: 0.1969043416902423
x4: 0.3022368149831891
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Actual Outcome: 1.634 [1.438, 1.830]
Predicted Outcome: 1.503 [1.146, 1.860]

Parameterization:
x1: 0.7246069461107254
x2: 0.8294364186003804
x3: 0.814763798378408
x4: 0.8743782341480255
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x6: 0.20047391206026077", "Arm 7_0

Actual Outcome: 1.123 [0.927, 1.319]
Predicted Outcome: 1.382 [1.032, 1.732]

Parameterization:
x1: 0.5608566822484136
x2: 0.4448274113237858
x3: 0.4826934188604355
x4: 0.19329072162508965
x5: 0.15352841839194298
x6: 0.6303687645122409", "Arm 8_0

Actual Outcome: 1.708 [1.512, 1.904]
Predicted Outcome: 1.447 [1.077, 1.816]

Parameterization:
x1: 0.6662000622600317
x2: 0.9662022683769464
x3: 0.3009706437587738
x4: 0.3217223919928074
x5: 0.4295704700052738
x6: 0.909311349503696", "Arm 9_0

Actual Outcome: 1.285 [1.089, 1.481]
Predicted Outcome: 1.483 [1.114, 1.853]

Parameterization:
x1: 0.2188348500058055
x2: 0.06005643866956234
x3: 0.41915846336632967
x4: 0.8232462285086513
x5: 0.6318878587335348
x6: 0.7867801962420344", "Arm 10_0

Actual Outcome: 1.723 [1.527, 1.919]
Predicted Outcome: 1.567 [1.232, 1.902]

Parameterization:
x1: 0.7000782312825322
x2: 0.6389608113095164
x3: 0.642547438852489
x4: 0.7287782737985253
x5: 0.7864115489646792
x6: 0.7680771928280592", "Arm 11_0

Actual Outcome: 1.557 [1.361, 1.753]
Predicted Outcome: 1.484 [1.126, 1.842]

Parameterization:
x1: 0.4383275434374809
x2: 0.13219796307384968
x3: 0.39278437104076147
x4: 0.34032820258289576
x5: 0.9797635432332754
x6: 0.8119558002799749", "Arm 12_0

Actual Outcome: 1.08 [0.884, 1.276]
Predicted Outcome: 1.137 [0.936, 1.338]

Parameterization:
x1: 0.30199850800552985
x2: 0.6923863751044141
x3: 0.5466062554486258
x4: 0.380031636590867
x5: 0.11149761066821018
x6: 0.27218765000856676", "Arm 13_0

Actual Outcome: 1.168 [0.972, 1.364]
Predicted Outcome: 1.168 [1.027, 1.309]

Parameterization:
x1: 0.21781048798021602
x2: 0.8198480765300948
x3: 0.5503769700366434
x4: 0.4515427544723812
x5: 0.10504259935361736
x6: 0.1125151064497505", "Arm 14_0

Actual Outcome: 1.191 [0.995, 1.387]
Predicted Outcome: 1.222 [1.078, 1.366]

Parameterization:
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x3: 0.5908745716398346
x4: 0.5171094126324104
x5: 0.14953042680579237
x6: 0.18667065147260414", "Arm 15_0

Actual Outcome: 1.188 [0.992, 1.384]
Predicted Outcome: 1.163 [1.073, 1.252]

Parameterization:
x1: 0.2821507786340373
x2: 0.7988135892406215
x3: 0.5957529668146583
x4: 0.4822025228172188
x5: 0.17954288098415067
x6: 0.09822839427052793", "Arm 16_0

Actual Outcome: 0.995 [0.799, 1.191]
Predicted Outcome: 1.205 [1.071, 1.339]

Parameterization:
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x2: 0.7479634310107112
x3: 0.5934452290769817
x4: 0.4466465377550686
x5: 0.21180837480867362
x6: 0.061963794676068426", "Arm 17_0

Actual Outcome: 1.306 [1.110, 1.502]
Predicted Outcome: 1.166 [1.046, 1.285]

Parameterization:
x1: 0.32080324118302667
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x3: 0.6262711973546213
x4: 0.5120850008023334
x5: 0.18991628502652574
x6: 0.043484100558140885", "Arm 18_0

Actual Outcome: 1.16 [0.964, 1.356]
Predicted Outcome: 1.21 [1.062, 1.358]

Parameterization:
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x2: 0.7917580170108934
x3: 0.6015592823233791
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Actual Outcome: -0.027 [-0.223, 0.169]
Predicted Outcome: -0.268 [-1.646, 1.110]

Parameterization:
x1: 0.7178358435630798
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Actual Outcome: -0.428 [-0.624, -0.232]
Predicted Outcome: -0.394 [-1.780, 0.992]

Parameterization:
x1: 0.364308824762702
x2: 0.4886300740763545
x3: 0.47912589740008116
x4: 0.708058794029057
x5: 0.8337889788672328
x6: 0.25890658888965845", "Arm 2_0

Actual Outcome: -0.036 [-0.232, 0.160]
Predicted Outcome: -0.417 [-1.862, 1.027]

Parameterization:
x1: 0.8814287204295397
x2: 0.6408339403569698
x3: 0.5831275405362248
x4: 0.3794651171192527
x5: 0.3946994310244918
x6: 0.08364642690867186", "Arm 3_0

Actual Outcome: -0.158 [-0.354, 0.038]
Predicted Outcome: -0.434 [-1.835, 0.966]

Parameterization:
x1: 0.2226401101797819
x2: 0.546984632499516
x3: 0.9385889135301113
x4: 0.8113436801359057
x5: 0.7994475681334734
x6: 0.3494002753868699", "Arm 4_0

Actual Outcome: -1.446 [-1.642, -1.250]
Predicted Outcome: -1.365 [-1.640, -1.090]

Parameterization:
x1: 0.26463759411126375
x2: 0.7870658673346043
x3: 0.5698311915621161
x4: 0.45330036897212267
x5: 0.13515578024089336
x6: 0.1785535179078579", "Arm 5_0

Actual Outcome: 0.037 [-0.159, 0.233]
Predicted Outcome: -0.378 [-1.834, 1.079]

Parameterization:
x1: 0.9633478643372655
x2: 0.1295550223439932
x3: 0.1969043416902423
x4: 0.3022368149831891
x5: 0.8313231281936169
x6: 0.8606205554679036", "Arm 6_0

Actual Outcome: -0.134 [-0.330, 0.062]
Predicted Outcome: -0.427 [-1.862, 1.008]

Parameterization:
x1: 0.7246069461107254
x2: 0.8294364186003804
x3: 0.814763798378408
x4: 0.8743782341480255
x5: 0.48475636821240187
x6: 0.20047391206026077", "Arm 7_0

Actual Outcome: -1.113 [-1.309, -0.917]
Predicted Outcome: -0.362 [-1.792, 1.067]

Parameterization:
x1: 0.5608566822484136
x2: 0.4448274113237858
x3: 0.4826934188604355
x4: 0.19329072162508965
x5: 0.15352841839194298
x6: 0.6303687645122409", "Arm 8_0

Actual Outcome: -0.228 [-0.424, -0.032]
Predicted Outcome: -0.409 [-1.845, 1.028]

Parameterization:
x1: 0.6662000622600317
x2: 0.9662022683769464
x3: 0.3009706437587738
x4: 0.3217223919928074
x5: 0.4295704700052738
x6: 0.909311349503696", "Arm 9_0

Actual Outcome: -0.141 [-0.337, 0.055]
Predicted Outcome: -0.356 [-1.804, 1.091]

Parameterization:
x1: 0.2188348500058055
x2: 0.06005643866956234
x3: 0.41915846336632967
x4: 0.8232462285086513
x5: 0.6318878587335348
x6: 0.7867801962420344", "Arm 10_0

Actual Outcome: -0.084 [-0.280, 0.112]
Predicted Outcome: -0.247 [-1.631, 1.136]

Parameterization:
x1: 0.7000782312825322
x2: 0.6389608113095164
x3: 0.642547438852489
x4: 0.7287782737985253
x5: 0.7864115489646792
x6: 0.7680771928280592", "Arm 11_0

Actual Outcome: -0.104 [-0.300, 0.092]
Predicted Outcome: -0.375 [-1.821, 1.071]

Parameterization:
x1: 0.4383275434374809
x2: 0.13219796307384968
x3: 0.39278437104076147
x4: 0.34032820258289576
x5: 0.9797635432332754
x6: 0.8119558002799749", "Arm 12_0

Actual Outcome: -0.959 [-1.155, -0.763]
Predicted Outcome: -1.088 [-1.846, -0.331]

Parameterization:
x1: 0.30199850800552985
x2: 0.6923863751044141
x3: 0.5466062554486258
x4: 0.380031636590867
x5: 0.11149761066821018
x6: 0.27218765000856676", "Arm 13_0

Actual Outcome: -1.306 [-1.502, -1.110]
Predicted Outcome: -1.326 [-1.896, -0.756]

Parameterization:
x1: 0.21781048798021602
x2: 0.8198480765300948
x3: 0.5503769700366434
x4: 0.4515427544723812
x5: 0.10504259935361736
x6: 0.1125151064497505", "Arm 14_0

Actual Outcome: -1.365 [-1.561, -1.169]
Predicted Outcome: -1.604 [-2.066, -1.143]

Parameterization:
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x2: 0.8551820670003675
x3: 0.5908745716398346
x4: 0.5171094126324104
x5: 0.14953042680579237
x6: 0.18667065147260414", "Arm 15_0

Actual Outcome: -2.002 [-2.198, -1.806]
Predicted Outcome: -1.994 [-2.199, -1.789]

Parameterization:
x1: 0.2821507786340373
x2: 0.7988135892406215
x3: 0.5957529668146583
x4: 0.4822025228172188
x5: 0.17954288098415067
x6: 0.09822839427052793", "Arm 16_0

Actual Outcome: -1.922 [-2.118, -1.726]
Predicted Outcome: -2.183 [-2.575, -1.790]

Parameterization:
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x3: 0.5934452290769817
x4: 0.4466465377550686
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Actual Outcome: -2.674 [-2.870, -2.478]
Predicted Outcome: -2.439 [-2.725, -2.154]

Parameterization:
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x4: 0.5120850008023334
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x6: 0.043484100558140885", "Arm 18_0

Actual Outcome: -2.761 [-2.957, -2.565]
Predicted Outcome: -2.591 [-3.084, -2.097]

Parameterization:
x1: 0.35540453320926
x2: 0.7917580170108934
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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": "c8b3522e", "metadata": { "originalKey": "40f8ee99-fee8-4fd9-9cff-a7aa230dd5ae", "papermill": { "duration": 0.519809, "end_time": "2023-12-09T18:39:53.824538", "exception": false, "start_time": "2023-12-09T18:39:53.304729", "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. They serve a similar function as contour plots." ] }, { "cell_type": "code", "execution_count": 9, "id": "40a22699", "metadata": { "execution": { "iopub.execute_input": "2023-12-09T18:39:54.870677Z", "iopub.status.busy": "2023-12-09T18:39:54.870129Z", "iopub.status.idle": "2023-12-09T18:39:54.943684Z", "shell.execute_reply": "2023-12-09T18:39:54.942949Z" }, "executionStartTime": 1627397880415, "executionStopTime": 1627397880572, "originalKey": "aed7c789-a024-48c6-86f7-502e571e298f", "papermill": { "duration": 0.595571, "end_time": "2023-12-09T18:39:54.945235", "exception": false, "start_time": "2023-12-09T18:39:54.349664", "status": "completed" }, "requestMsgId": "a7238d82-f6bb-441d-badc-673dedaa101e", "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "fill": "toself", "fillcolor": "rgba(128, 177, 211, 0.2)", "hoverinfo": "none", "line": { 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(plot_slice(model, \"x2\", \"hartmann6\"))" ] }, { "cell_type": "markdown", "id": "4c4cc183", "metadata": { "originalKey": "4975848f-31d4-4ed0-976c-39e3b7474fb7", "papermill": { "duration": 0.519952, "end_time": "2023-12-09T18:39:56.001858", "exception": false, "start_time": "2023-12-09T18:39:55.481906", "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": "df41b527", "metadata": { "execution": { "iopub.execute_input": "2023-12-09T18:39:57.048903Z", "iopub.status.busy": "2023-12-09T18:39:57.048266Z", "iopub.status.idle": "2023-12-09T18:39:57.146477Z", "shell.execute_reply": "2023-12-09T18:39:57.145781Z" }, "executionStartTime": 1627397890236, "executionStopTime": 1627397890496, "originalKey": "2ed10008-8adf-4ce2-8334-04a4f2a3e895", "papermill": { "duration": 0.619419, "end_time": "2023-12-09T18:39:57.148129", "exception": false, "start_time": "2023-12-09T18:39:56.528710", "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": [ 0.19404622791219822, 0.19406880292275325, 0.1942199801795121, 0.194108746425809, 0.15963833152514267, 0.1942489685818659, 0.19419655237390945, 0.19418312109665456, 0.19420152753040185, 0.19422679973666201, 0.19406291195986716, 0.1942245065335801, 0.18974803606148047, 0.18535259620102207, 0.18040286742340592, 0.1415383757176065, 0.17534577190779574, 0.16164455490712484, 0.18215037261969205 ], "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: 1.648 [1.477, 1.818]

Parameterization:
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l2norm: 1.493 [1.324, 1.663]

Parameterization:
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l2norm: 1.408 [1.236, 1.579]

Parameterization:
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l2norm: 1.577 [1.405, 1.749]

Parameterization:
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l2norm: 1.145 [1.056, 1.234]

Parameterization:
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x3: 0.5698311915621161
x4: 0.45330036897212267
x5: 0.13515578024089336
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l2norm: 1.564 [1.392, 1.737]

Parameterization:
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x2: 0.1295550223439932
x3: 0.1969043416902423
x4: 0.3022368149831891
x5: 0.8313231281936169
x6: 0.8606205554679036", "Arm 6_0

l2norm: 1.604 [1.432, 1.776]

Parameterization:
x1: 0.7246069461107254
x2: 0.8294364186003804
x3: 0.814763798378408
x4: 0.8743782341480255
x5: 0.48475636821240187
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l2norm: 1.185 [1.014, 1.356]

Parameterization:
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x3: 0.4826934188604355
x4: 0.19329072162508965
x5: 0.15352841839194298
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l2norm: 1.651 [1.478, 1.824]

Parameterization:
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x3: 0.3009706437587738
x4: 0.3217223919928074
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l2norm: 1.329 [1.156, 1.502]

Parameterization:
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x3: 0.41915846336632967
x4: 0.8232462285086513
x5: 0.6318878587335348
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l2norm: 1.684 [1.514, 1.853]

Parameterization:
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x3: 0.642547438852489
x4: 0.7287782737985253
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l2norm: 1.54 [1.368, 1.712]

Parameterization:
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x3: 0.39278437104076147
x4: 0.34032820258289576
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l2norm: 1.108 [0.967, 1.248]

Parameterization:
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x3: 0.5466062554486258
x4: 0.380031636590867
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l2norm: 1.168 [1.053, 1.283]

Parameterization:
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l2norm: 1.211 [1.095, 1.327]

Parameterization:
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Parameterization:
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l2norm: 1.138 [1.028, 1.249]

Parameterization:
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l2norm: 1.204 [1.102, 1.306]

Parameterization:
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"updatemenus": [ { "buttons": [ { "args": [ "visible", [ true, false ] ], "label": "hartmann6", "method": "restyle" }, { "args": [ "visible", [ false, true ] ], "label": "l2norm", "method": "restyle" } ], "x": 0.075, "xanchor": "left", "y": 1.1, "yanchor": "middle" } ], "xaxis": { "title": { "text": "Arm" }, "type": "category", "zeroline": false }, "yaxis": { "ticksuffix": "", "title": { "text": "Effect" }, "zeroline": true, "zerolinecolor": "red" } } }, "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(interact_fitted(model, rel=False))" ] }, { "cell_type": "markdown", "id": "f49338f2", "metadata": { "papermill": { "duration": 0.523471, "end_time": "2023-12-09T18:39:58.196499", "exception": false, "start_time": "2023-12-09T18:39:57.673028", "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": "6598cab8", "metadata": { "execution": { "iopub.execute_input": "2023-12-09T18:39:59.297280Z", "iopub.status.busy": "2023-12-09T18:39:59.296656Z", "iopub.status.idle": "2023-12-09T18:39:59.910040Z", "shell.execute_reply": "2023-12-09T18:39:59.909322Z" }, "papermill": { "duration": 1.185524, "end_time": "2023-12-09T18:39:59.914378", "exception": false, "start_time": "2023-12-09T18:39:58.728854", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-09 18:39:59] 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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