{ "cells": [ { "cell_type": "markdown", "id": "db840fed", "metadata": { "originalKey": "e23719d9-8a24-4208-8439-34e7b8270c79", "papermill": { "duration": 0.003269, "end_time": "2024-09-23T20:30:48.786019", "exception": false, "start_time": "2024-09-23T20:30:48.782750", "status": "completed" }, "tags": [] }, "source": [ "# Visualizations\n", "\n", "This tutorial illustrates the core visualization utilities available in Ax." ] }, { "cell_type": "code", "execution_count": 1, "id": "a718d1ae", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2024-09-23T20:30:48.793674Z", "iopub.status.busy": "2024-09-23T20:30:48.793206Z", "iopub.status.idle": "2024-09-23T20:30:52.467487Z", "shell.execute_reply": "2024-09-23T20:30:52.466581Z" }, "executionStartTime": 1627652821316, "executionStopTime": 1627652822868, "hidden_ranges": [], "originalKey": "101b0e96-5b3d-48c5-bf3c-677b4ddf90c7", "papermill": { "duration": 3.696166, "end_time": "2024-09-23T20:30:52.485323", "exception": false, "start_time": "2024-09-23T20:30:48.789157", "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 09-23 20:30:52] ax.utils.notebook.plotting: Injecting Plotly library into cell. Do not overwrite or delete cell.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:52] 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": "1a5990f5", "metadata": { "code_folding": [], "hidden_ranges": [], "originalKey": "8449378f-890e-4e76-8d73-ce2aa4120a69", "papermill": { "duration": 0.038838, "end_time": "2024-09-23T20:30:52.563966", "exception": false, "start_time": "2024-09-23T20:30:52.525128", "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": "4354610f", "metadata": { "originalKey": "f7544e06-6c6a-4841-b659-3be6a198a948", "papermill": { "duration": 0.038687, "end_time": "2024-09-23T20:30:52.641885", "exception": false, "start_time": "2024-09-23T20:30:52.603198", "status": "completed" }, "tags": [] }, "source": [ "#### 1a. Define search space and evaluation function" ] }, { "cell_type": "code", "execution_count": 2, "id": "3607bbee", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2024-09-23T20:30:52.721965Z", "iopub.status.busy": "2024-09-23T20:30:52.721448Z", "iopub.status.idle": "2024-09-23T20:30:52.726024Z", "shell.execute_reply": "2024-09-23T20:30:52.725456Z" }, "executionStartTime": 1627652824829, "executionStopTime": 1627652824877, "hidden_ranges": [], "originalKey": "28f6cb76-828f-445d-bdda-ba057c87dcd0", "papermill": { "duration": 0.046378, "end_time": "2024-09-23T20:30:52.727368", "exception": false, "start_time": "2024-09-23T20:30:52.680990", "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": "91c998b1", "metadata": { "originalKey": "17a51543-298e-47d4-bcd9-33459fe1169e", "papermill": { "duration": 0.038954, "end_time": "2024-09-23T20:30:52.805082", "exception": false, "start_time": "2024-09-23T20:30:52.766128", "status": "completed" }, "tags": [] }, "source": [ "#### 1b. Create Experiment" ] }, { "cell_type": "code", "execution_count": 3, "id": "3412ff56", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2024-09-23T20:30:52.884677Z", "iopub.status.busy": "2024-09-23T20:30:52.884400Z", "iopub.status.idle": "2024-09-23T20:30:52.897448Z", "shell.execute_reply": "2024-09-23T20:30:52.896672Z" }, "executionStartTime": 1627654956712, "executionStopTime": 1627654956823, "hidden_ranges": [], "originalKey": "6fca889c-a4ff-42ef-a669-6eb8803de89c", "papermill": { "duration": 0.055637, "end_time": "2024-09-23T20:30:52.900046", "exception": false, "start_time": "2024-09-23T20:30:52.844409", "status": "completed" }, "requestMsgId": "905eff52-e649-4bd5-abf0-ff69c1549852", "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:52] 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 09-23 20:30:52] 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 09-23 20:30:52] 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 09-23 20:30:52] 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 09-23 20:30:52] 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 09-23 20:30:52] 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 09-23 20:30:52] 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 09-23 20:30:52] 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 09-23 20:30:52] 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 09-23 20:30:52] 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 09-23 20:30:52] ax.modelbridge.dispatch_utils: calculated num_initialization_trials=12\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:52] ax.modelbridge.dispatch_utils: num_completed_initialization_trials=0 num_remaining_initialization_trials=12\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:52] 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 09-23 20:30:52] 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": "b1dc8707", "metadata": { "code_folding": [], "hidden_ranges": [], "originalKey": "ab892f7c-4830-4c1d-b476-ec1078ec3faf", "papermill": { "duration": 0.039597, "end_time": "2024-09-23T20:30:52.980020", "exception": false, "start_time": "2024-09-23T20:30:52.940423", "status": "completed" }, "showInput": false, "tags": [] }, "source": [ "#### 1c. Run the optimization and fit a GP on all data" ] }, { "cell_type": "code", "execution_count": 4, "id": "b7164bf6", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2024-09-23T20:30:53.061400Z", "iopub.status.busy": "2024-09-23T20:30:53.060744Z", "iopub.status.idle": "2024-09-23T20:31:37.923085Z", "shell.execute_reply": "2024-09-23T20:31:37.922402Z" }, "executionStartTime": 1627654642967, "executionStopTime": 1627654862819, "hidden_ranges": [], "originalKey": "7269a5ba-45c8-4acf-ac83-a5ea8a52d6c1", "papermill": { "duration": 44.904794, "end_time": "2024-09-23T20:31:37.924552", "exception": false, "start_time": "2024-09-23T20:30:53.019758", "status": "completed" }, "requestMsgId": "c7a4dea8-fd6d-4e1a-84de-ad973ede0cd7", "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 0 with parameters {'x1': 0.301966, 'x2': 0.115237, 'x3': 0.662966, 'x4': 0.787345, 'x5': 0.514551, 'x6': 0.35244} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 0 with data: {'hartmann6': (0.007817, 0.1), 'l2norm': (1.20666, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 1 with parameters {'x1': 0.690867, 'x2': 0.848207, 'x3': 0.003923, 'x4': 0.416611, 'x5': 0.060394, 'x6': 0.503174} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 1 with data: {'hartmann6': (-0.086721, 0.1), 'l2norm': (1.156036, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 2 with parameters {'x1': 0.802228, 'x2': 0.481028, 'x3': 0.78, 'x4': 0.746598, 'x5': 0.473398, 'x6': 0.981709} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 2 with data: {'hartmann6': (-0.262696, 0.1), 'l2norm': (1.868653, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 3 with parameters {'x1': 0.190671, 'x2': 0.748055, 'x3': 0.433947, 'x4': 0.109519, 'x5': 0.960888, 'x6': 0.131726} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 3 with data: {'hartmann6': (-0.331837, 0.1), 'l2norm': (1.280234, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 4 with parameters {'x1': 0.084531, 'x2': 0.327964, 'x3': 0.187647, 'x4': 0.239736, 'x5': 0.808278, 'x6': 0.40264} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 4 with data: {'hartmann6': (-0.024598, 0.1), 'l2norm': (0.981802, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 5 with parameters {'x1': 0.907026, 'x2': 0.591085, 'x3': 0.596445, 'x4': 0.619006, 'x5': 0.258409, 'x6': 0.74211} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 5 with data: {'hartmann6': (-0.239878, 0.1), 'l2norm': (1.579705, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 6 with parameters {'x1': 0.584728, 'x2': 0.208281, 'x3': 0.36767, 'x4': 0.29665, 'x5': 0.204627, 'x6': 0.775324} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 6 with data: {'hartmann6': (-1.572804, 0.1), 'l2norm': (1.037927, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 7 with parameters {'x1': 0.406765, 'x2': 0.945157, 'x3': 0.963481, 'x4': 0.909565, 'x5': 0.721408, 'x6': 0.111605} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 7 with data: {'hartmann6': (-1.027357, 0.1), 'l2norm': (1.942456, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 8 with parameters {'x1': 0.47679, 'x2': 0.379172, 'x3': 0.25488, 'x4': 0.508789, 'x5': 0.11077, 'x6': 0.247573} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 8 with data: {'hartmann6': (-0.460301, 0.1), 'l2norm': (0.912411, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 9 with parameters {'x1': 0.529784, 'x2': 0.647298, 'x3': 0.912214, 'x4': 0.1305, 'x5': 0.564808, 'x6': 0.896629} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 9 with data: {'hartmann6': (-0.060766, 0.1), 'l2norm': (1.820705, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 10 with parameters {'x1': 0.977014, 'x2': 0.03012, 'x3': 0.184233, 'x4': 0.956763, 'x5': 0.901647, 'x6': 0.617313} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 10 with data: {'hartmann6': (0.029059, 0.1), 'l2norm': (1.650103, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.QqcA7fo0ui/Ax-main/ax/modelbridge/cross_validation.py:463: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 09-23 20:30:53] ax.service.ax_client: Generated new trial 11 with parameters {'x1': 0.029488, 'x2': 0.761991, 'x3': 0.529554, 'x4': 0.342866, 'x5': 0.41452, 'x6': 0.269069} using model Sobol.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:53] ax.service.ax_client: Completed trial 11 with data: {'hartmann6': (-0.221124, 0.1), 'l2norm': (1.341961, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:57] ax.service.ax_client: Generated new trial 12 with parameters {'x1': 0.515304, 'x2': 0.147016, 'x3': 0.270404, 'x4': 0.252918, 'x5': 0.125455, 'x6': 0.866776} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:30:57] ax.service.ax_client: Completed trial 12 with data: {'hartmann6': (-1.096015, 0.1), 'l2norm': (1.124111, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:03] ax.service.ax_client: Generated new trial 13 with parameters {'x1': 0.616218, 'x2': 0.22177, 'x3': 0.398197, 'x4': 0.193171, 'x5': 0.17117, 'x6': 0.686749} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:03] ax.service.ax_client: Completed trial 13 with data: {'hartmann6': (-1.235589, 0.1), 'l2norm': (1.208472, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:12] ax.service.ax_client: Generated new trial 14 with parameters {'x1': 0.517555, 'x2': 0.184403, 'x3': 0.334269, 'x4': 0.30403, 'x5': 0.282924, 'x6': 0.776514} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:12] ax.service.ax_client: Completed trial 14 with data: {'hartmann6': (-1.975216, 0.1), 'l2norm': (1.019098, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:17] ax.service.ax_client: Generated new trial 15 with parameters {'x1': 0.466466, 'x2': 0.105748, 'x3': 0.196728, 'x4': 0.196277, 'x5': 0.289378, 'x6': 1.0} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:17] ax.service.ax_client: Completed trial 15 with data: {'hartmann6': (-0.711773, 0.1), 'l2norm': (1.124486, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:26] ax.service.ax_client: Generated new trial 16 with parameters {'x1': 0.432326, 'x2': 0.144975, 'x3': 0.298308, 'x4': 0.391652, 'x5': 0.344003, 'x6': 0.753454} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:26] ax.service.ax_client: Completed trial 16 with data: {'hartmann6': (-2.17812, 0.1), 'l2norm': (1.165593, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:31] ax.service.ax_client: Generated new trial 17 with parameters {'x1': 0.325259, 'x2': 0.10506, 'x3': 0.309941, 'x4': 0.051872, 'x5': 0.386782, 'x6': 0.757427} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:31] ax.service.ax_client: Completed trial 17 with data: {'hartmann6': (-1.606619, 0.1), 'l2norm': (0.995786, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:35] ax.service.ax_client: Generated new trial 18 with parameters {'x1': 0.479433, 'x2': 0.190328, 'x3': 0.13175, 'x4': 0.471527, 'x5': 0.368483, 'x6': 0.745157} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:35] ax.service.ax_client: Completed trial 18 with data: {'hartmann6': (-1.508482, 0.1), 'l2norm': (0.977963, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:37] ax.service.ax_client: Generated new trial 19 with parameters {'x1': 0.425636, 'x2': 0.021245, 'x3': 0.328259, 'x4': 0.532462, 'x5': 0.35233, 'x6': 0.736052} using model BoTorch.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:37] ax.service.ax_client: Completed trial 19 with data: {'hartmann6': (-1.303175, 0.1), 'l2norm': (1.042761, 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": "d4ea6f62", "metadata": { "originalKey": "72f4d3e7-fa04-43d0-8451-ded292e705df", "papermill": { "duration": 0.041193, "end_time": "2024-09-23T20:31:38.006965", "exception": false, "start_time": "2024-09-23T20:31:37.965772", "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": "856bcd4a", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2024-09-23T20:31:38.092040Z", "iopub.status.busy": "2024-09-23T20:31:38.091305Z", "iopub.status.idle": "2024-09-23T20:31:38.757763Z", "shell.execute_reply": "2024-09-23T20:31:38.757110Z" }, "executionStartTime": 1627654870209, "executionStopTime": 1627654871972, "hidden_ranges": [], "originalKey": "843df85c-965d-4a83-9fe1-696225d81c0f", "papermill": { "duration": 0.713744, "end_time": "2024-09-23T20:31:38.762305", "exception": false, "start_time": "2024-09-23T20:31:38.048561", "status": "completed" }, "requestMsgId": "4a643541-867c-46b6-868d-64337920c2a3", "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:31:38] 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": "ec0c9d53", "metadata": { "originalKey": "1de0991a-d99b-4d07-acec-4a2eb4a20a73", "papermill": { "duration": 0.05529, "end_time": "2024-09-23T20:31:38.872720", "exception": false, "start_time": "2024-09-23T20:31:38.817430", "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": "aba162a4", "metadata": { "code_folding": [], "execution": { "iopub.execute_input": "2024-09-23T20:31:38.984599Z", "iopub.status.busy": "2024-09-23T20:31:38.984322Z", "iopub.status.idle": "2024-09-23T20:31:54.000730Z", "shell.execute_reply": "2024-09-23T20:31:53.999746Z" }, "executionStartTime": 1627652959076, "executionStopTime": 1627652982911, "hidden_ranges": [], "originalKey": "4af9f166-0163-4ff5-9ecb-f534a69efe3d", "papermill": { "duration": 15.200572, "end_time": "2024-09-23T20:31:54.128200", "exception": false, "start_time": "2024-09-23T20:31:38.927628", "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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" ] }, "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": "a376b3f0", "metadata": { "originalKey": "1ff470bb-5daf-4179-b814-01cc80dafe3e", "papermill": { "duration": 0.507612, "end_time": "2024-09-23T20:31:55.140412", "exception": false, "start_time": "2024-09-23T20:31:54.632800", "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": "1dbadc06", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T20:31:56.149808Z", "iopub.status.busy": "2024-09-23T20:31:56.149298Z", "iopub.status.idle": "2024-09-23T20:31:56.268222Z", "shell.execute_reply": "2024-09-23T20:31:56.267406Z" }, "executionStartTime": 1627652996903, "executionStopTime": 1627652997294, "originalKey": "57023556-0293-44ef-91d6-81b911ff41d3", "papermill": { "duration": 0.626634, "end_time": "2024-09-23T20:31:56.269573", "exception": false, "start_time": "2024-09-23T20:31:55.642939", "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: 0.008 [-0.188, 0.204]
l2norm: 1.207 [1.011, 1.403]

Parameterization:
x1: 0.30196624994277954
x2: 0.11523737758398056
x3: 0.6629658937454224
x4: 0.7873454689979553
x5: 0.5145511627197266
x6: 0.3524400591850281", "Arm 1_0

hartmann6: -0.087 [-0.283, 0.109]
l2norm: 1.156 [0.960, 1.352]

Parameterization:
x1: 0.6908673066645861
x2: 0.8482067445293069
x3: 0.003922873176634312
x4: 0.4166109571233392
x5: 0.06039392575621605
x6: 0.5031738840043545", "Arm 2_0

hartmann6: -0.263 [-0.459, -0.067]
l2norm: 1.869 [1.673, 2.065]

Parameterization:
x1: 0.8022277876734734
x2: 0.4810281889513135
x3: 0.7799998465925455
x4: 0.7465984290465713
x5: 0.47339808754622936
x6: 0.9817091226577759", "Arm 3_0

hartmann6: -0.332 [-0.528, -0.136]
l2norm: 1.28 [1.084, 1.476]

Parameterization:
x1: 0.19067071750760078
x2: 0.7480550073087215
x3: 0.433946929872036
x4: 0.1095189768821001
x5: 0.960888147354126
x6: 0.13172589614987373", "Arm 4_0

hartmann6: -0.025 [-0.221, 0.171]
l2norm: 0.982 [0.786, 1.178]

Parameterization:
x1: 0.08453149162232876
x2: 0.32796390913426876
x3: 0.18764745630323887
x4: 0.23973595537245274
x5: 0.8082779850810766
x6: 0.4026400577276945", "Arm 5_0

hartmann6: -0.24 [-0.436, -0.044]
l2norm: 1.58 [1.384, 1.776]

Parameterization:
x1: 0.9070260617882013
x2: 0.5910845389589667
x3: 0.5964449271559715
x4: 0.6190057685598731
x5: 0.2584090009331703
x6: 0.7421098295599222", "Arm 6_0

hartmann6: -1.573 [-1.769, -1.377]
l2norm: 1.038 [0.842, 1.234]

Parameterization:
x1: 0.5847281664609909
x2: 0.20828121434897184
x3: 0.3676697267219424
x4: 0.29664983693510294
x5: 0.2046272549778223
x6: 0.7753239925950766", "Arm 7_0

hartmann6: -1.027 [-1.223, -0.831]
l2norm: 1.942 [1.746, 2.138]

Parameterization:
x1: 0.4067646227777004
x2: 0.9451567698270082
x3: 0.9634808832779527
x4: 0.9095651470124722
x5: 0.7214075513184071
x6: 0.11160479672253132", "Arm 8_0

hartmann6: -0.46 [-0.656, -0.264]
l2norm: 0.912 [0.716, 1.108]

Parameterization:
x1: 0.47679008822888136
x2: 0.37917223293334246
x3: 0.2548801964148879
x4: 0.5087893707677722
x5: 0.1107695885002613
x6: 0.24757349863648415", "Arm 9_0

hartmann6: -0.061 [-0.257, 0.135]
l2norm: 1.821 [1.625, 2.017]

Parameterization:
x1: 0.5297840526327491
x2: 0.6472978480160236
x3: 0.91221431363374
x4: 0.13050041906535625
x5: 0.5648076925426722
x6: 0.8966289609670639", "Arm 10_0

hartmann6: 0.029 [-0.167, 0.225]
l2norm: 1.65 [1.454, 1.846]

Parameterization:
x1: 0.9770135628059506
x2: 0.030120238661766052
x3: 0.18423316441476345
x4: 0.9567631855607033
x5: 0.9016471281647682
x6: 0.6173126213252544", "Arm 11_0

hartmann6: -0.221 [-0.417, -0.025]
l2norm: 1.342 [1.146, 1.538]

Parameterization:
x1: 0.029488124884665012
x2: 0.7619908088818192
x3: 0.5295535959303379
x4: 0.3428660752251744
x5: 0.4145203437656164
x6: 0.26906877011060715", "Arm 12_0

hartmann6: -1.096 [-1.292, -0.900]
l2norm: 1.124 [0.928, 1.320]

Parameterization:
x1: 0.51530405821805
x2: 0.14701584431573872
x3: 0.2704035976581682
x4: 0.25291844750050085
x5: 0.12545483261193296
x6: 0.8667755153983483", "Arm 13_0

hartmann6: -1.236 [-1.432, -1.040]
l2norm: 1.208 [1.012, 1.404]

Parameterization:
x1: 0.6162177651859237
x2: 0.22177024755628905
x3: 0.3981972684002891
x4: 0.19317075333365977
x5: 0.1711697388901783
x6: 0.6867489615507217", "Arm 14_0

hartmann6: -1.975 [-2.171, -1.779]
l2norm: 1.019 [0.823, 1.215]

Parameterization:
x1: 0.5175545033778408
x2: 0.18440289745072344
x3: 0.3342686529611899
x4: 0.3040304761878207
x5: 0.28292366946536485
x6: 0.7765144136193143", "Arm 15_0

hartmann6: -0.712 [-0.908, -0.516]
l2norm: 1.124 [0.928, 1.320]

Parameterization:
x1: 0.46646638342383795
x2: 0.10574844651196175
x3: 0.1967278694819581
x4: 0.1962767968873855
x5: 0.28937810589907165
x6: 1.0", "Arm 16_0

hartmann6: -2.178 [-2.374, -1.982]
l2norm: 1.166 [0.970, 1.362]

Parameterization:
x1: 0.43232637162103565
x2: 0.14497532768464472
x3: 0.29830835657253635
x4: 0.39165232970988356
x5: 0.344003192003785
x6: 0.753454253553806", "Arm 17_0

hartmann6: -1.607 [-1.803, -1.411]
l2norm: 0.996 [0.800, 1.192]

Parameterization:
x1: 0.32525850964735753
x2: 0.10505967876597665
x3: 0.30994053511017206
x4: 0.05187223851346155
x5: 0.3867818459511234
x6: 0.7574268192529534", "Arm 18_0

hartmann6: -1.508 [-1.704, -1.312]
l2norm: 0.978 [0.782, 1.174]

Parameterization:
x1: 0.4794325746113217
x2: 0.19032757840216455
x3: 0.13175027795647798
x4: 0.4715267634205557
x5: 0.3684831455569182
x6: 0.7451573016681325" ], "type": "scatter", "visible": false, "x": [ 0.007816800011059014, -0.08672115694388716, -0.2626955542211221, -0.3318368706944664, -0.02459794299311102, -0.23987796196187755, -1.5728038883677418, -1.0273565523070167, -0.4603007128302863, -0.06076611116413208, 0.029058999052032658, -0.2211240181349582, -1.0960148568982557, -1.2355894493354065, -1.9752159745975848, -0.711772742860331, -2.1781196261340097, -1.6066188655328233, -1.5084816364186207 ], "y": [ 1.2066604049899794, 1.1560356111922458, 1.8686533750068282, 1.2802338944610052, 0.9818016175126085, 1.5797048789317143, 1.0379270872097324, 1.942456050559458, 0.9124106625736245, 1.8207050241954161, 1.6501033618953775, 1.341960789676522, 1.1241109164827925, 1.208472196464603, 1.019098426557319, 1.1244863744507623, 1.1655934713199938, 0.995785850614574, 0.9779625232900282 ] }, { "error_x": { "array": [ 0.19407182899488265, 0.1940828807673501, 0.19370815261537588, 0.1941154596335254, 0.19408343418634355, 0.19356230358474258, 0.1502555241525753, 0.19418464147149592, 0.19402130977386597, 0.19392558444838104, 0.19416758750105703, 0.1940310737954328, 0.18751755816767723, 0.1842884669679335, 0.13908482715763706, 0.1916760554522679, 0.17069774129855866, 0.18981984854189018, 0.19108000497391975 ], "color": "rgba(128,177,211,0.4)", "type": "data" }, "error_y": { "array": [ 0.16960431867582676, 0.17818081944706302, 0.14784084366122244, 0.16245103954311832, 0.15995120841214375, 0.15374913878031402, 0.08589869853393416, 0.17610492350465198, 0.14282046643760074, 0.16299671711261005, 0.17987845720318946, 0.1658346826063372, 0.09181599942907538, 0.10542072494821668, 0.07342787049148823, 0.10820920532136766, 0.0793789131681606, 0.11562431736110668, 0.11409160483942588 ], "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: 0.0 [-0.194, 0.194]
l2norm: 1.249 [1.079, 1.418]

Parameterization:
x1: 0.30196624994277954
x2: 0.11523737758398056
x3: 0.6629658937454224
x4: 0.7873454689979553
x5: 0.5145511627197266
x6: 0.3524400591850281", "Arm 1_0

hartmann6: -0.093 [-0.287, 0.101]
l2norm: 1.158 [0.980, 1.337]

Parameterization:
x1: 0.6908673066645861
x2: 0.8482067445293069
x3: 0.003922873176634312
x4: 0.4166109571233392
x5: 0.06039392575621605
x6: 0.5031738840043545", "Arm 2_0

hartmann6: -0.261 [-0.454, -0.067]
l2norm: 1.792 [1.644, 1.940]

Parameterization:
x1: 0.8022277876734734
x2: 0.4810281889513135
x3: 0.7799998465925455
x4: 0.7465984290465713
x5: 0.47339808754622936
x6: 0.9817091226577759", "Arm 3_0

hartmann6: -0.33 [-0.524, -0.136]
l2norm: 1.286 [1.124, 1.449]

Parameterization:
x1: 0.19067071750760078
x2: 0.7480550073087215
x3: 0.433946929872036
x4: 0.1095189768821001
x5: 0.960888147354126
x6: 0.13172589614987373", "Arm 4_0

hartmann6: -0.031 [-0.225, 0.163]
l2norm: 1.001 [0.841, 1.161]

Parameterization:
x1: 0.08453149162232876
x2: 0.32796390913426876
x3: 0.18764745630323887
x4: 0.23973595537245274
x5: 0.8082779850810766
x6: 0.4026400577276945", "Arm 5_0

hartmann6: -0.248 [-0.442, -0.054]
l2norm: 1.611 [1.458, 1.765]

Parameterization:
x1: 0.9070260617882013
x2: 0.5910845389589667
x3: 0.5964449271559715
x4: 0.6190057685598731
x5: 0.2584090009331703
x6: 0.7421098295599222", "Arm 6_0

hartmann6: -1.587 [-1.737, -1.437]
l2norm: 1.144 [1.058, 1.230]

Parameterization:
x1: 0.5847281664609909
x2: 0.20828121434897184
x3: 0.3676697267219424
x4: 0.29664983693510294
x5: 0.2046272549778223
x6: 0.7753239925950766", "Arm 7_0

hartmann6: -1.014 [-1.208, -0.820]
l2norm: 1.909 [1.732, 2.085]

Parameterization:
x1: 0.4067646227777004
x2: 0.9451567698270082
x3: 0.9634808832779527
x4: 0.9095651470124722
x5: 0.7214075513184071
x6: 0.11160479672253132", "Arm 8_0

hartmann6: -0.458 [-0.652, -0.264]
l2norm: 0.964 [0.821, 1.106]

Parameterization:
x1: 0.47679008822888136
x2: 0.37917223293334246
x3: 0.2548801964148879
x4: 0.5087893707677722
x5: 0.1107695885002613
x6: 0.24757349863648415", "Arm 9_0

hartmann6: -0.066 [-0.259, 0.128]
l2norm: 1.817 [1.654, 1.980]

Parameterization:
x1: 0.5297840526327491
x2: 0.6472978480160236
x3: 0.91221431363374
x4: 0.13050041906535625
x5: 0.5648076925426722
x6: 0.8966289609670639", "Arm 10_0

hartmann6: 0.022 [-0.172, 0.216]
l2norm: 1.599 [1.419, 1.779]

Parameterization:
x1: 0.9770135628059506
x2: 0.030120238661766052
x3: 0.18423316441476345
x4: 0.9567631855607033
x5: 0.9016471281647682
x6: 0.6173126213252544", "Arm 11_0

hartmann6: -0.222 [-0.416, -0.028]
l2norm: 1.324 [1.158, 1.490]

Parameterization:
x1: 0.029488124884665012
x2: 0.7619908088818192
x3: 0.5295535959303379
x4: 0.3428660752251744
x5: 0.4145203437656164
x6: 0.26906877011060715", "Arm 12_0

hartmann6: -1.1 [-1.287, -0.912]
l2norm: 1.078 [0.986, 1.169]

Parameterization:
x1: 0.51530405821805
x2: 0.14701584431573872
x3: 0.2704035976581682
x4: 0.25291844750050085
x5: 0.12545483261193296
x6: 0.8667755153983483", "Arm 13_0

hartmann6: -1.244 [-1.429, -1.060]
l2norm: 1.16 [1.054, 1.265]

Parameterization:
x1: 0.6162177651859237
x2: 0.22177024755628905
x3: 0.3981972684002891
x4: 0.19317075333365977
x5: 0.1711697388901783
x6: 0.6867489615507217", "Arm 14_0

hartmann6: -1.936 [-2.075, -1.797]
l2norm: 1.097 [1.024, 1.171]

Parameterization:
x1: 0.5175545033778408
x2: 0.18440289745072344
x3: 0.3342686529611899
x4: 0.3040304761878207
x5: 0.28292366946536485
x6: 0.7765144136193143", "Arm 15_0

hartmann6: -0.726 [-0.918, -0.534]
l2norm: 1.091 [0.982, 1.199]

Parameterization:
x1: 0.46646638342383795
x2: 0.10574844651196175
x3: 0.1967278694819581
x4: 0.1962767968873855
x5: 0.28937810589907165
x6: 1.0", "Arm 16_0

hartmann6: -2.139 [-2.309, -1.968]
l2norm: 1.05 [0.971, 1.130]

Parameterization:
x1: 0.43232637162103565
x2: 0.14497532768464472
x3: 0.29830835657253635
x4: 0.39165232970988356
x5: 0.344003192003785
x6: 0.753454253553806", "Arm 17_0

hartmann6: -1.618 [-1.808, -1.428]
l2norm: 1.025 [0.909, 1.140]

Parameterization:
x1: 0.32525850964735753
x2: 0.10505967876597665
x3: 0.30994053511017206
x4: 0.05187223851346155
x5: 0.3867818459511234
x6: 0.7574268192529534", "Arm 18_0

hartmann6: -1.513 [-1.704, -1.322]
l2norm: 1.041 [0.926, 1.155]

Parameterization:
x1: 0.4794325746113217
x2: 0.19032757840216455
x3: 0.13175027795647798
x4: 0.4715267634205557
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Parameterization:
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x2: 0.37917223293334246
x3: 0.2548801964148879
x4: 0.5087893707677722
x5: 0.1107695885002613
x6: 0.24757349863648415", "Arm 9_0

hartmann6: -0.066 [-0.259, 0.128]
l2norm: 1.817 [1.654, 1.980]

Parameterization:
x1: 0.5297840526327491
x2: 0.6472978480160236
x3: 0.91221431363374
x4: 0.13050041906535625
x5: 0.5648076925426722
x6: 0.8966289609670639", "Arm 10_0

hartmann6: 0.022 [-0.172, 0.216]
l2norm: 1.599 [1.419, 1.779]

Parameterization:
x1: 0.9770135628059506
x2: 0.030120238661766052
x3: 0.18423316441476345
x4: 0.9567631855607033
x5: 0.9016471281647682
x6: 0.6173126213252544", "Arm 11_0

hartmann6: -0.222 [-0.416, -0.028]
l2norm: 1.324 [1.158, 1.490]

Parameterization:
x1: 0.029488124884665012
x2: 0.7619908088818192
x3: 0.5295535959303379
x4: 0.3428660752251744
x5: 0.4145203437656164
x6: 0.26906877011060715", "Arm 12_0

hartmann6: -1.1 [-1.287, -0.912]
l2norm: 1.078 [0.986, 1.169]

Parameterization:
x1: 0.51530405821805
x2: 0.14701584431573872
x3: 0.2704035976581682
x4: 0.25291844750050085
x5: 0.12545483261193296
x6: 0.8667755153983483", "Arm 13_0

hartmann6: -1.244 [-1.429, -1.060]
l2norm: 1.16 [1.054, 1.265]

Parameterization:
x1: 0.6162177651859237
x2: 0.22177024755628905
x3: 0.3981972684002891
x4: 0.19317075333365977
x5: 0.1711697388901783
x6: 0.6867489615507217", "Arm 14_0

hartmann6: -1.936 [-2.075, -1.797]
l2norm: 1.097 [1.024, 1.171]

Parameterization:
x1: 0.5175545033778408
x2: 0.18440289745072344
x3: 0.3342686529611899
x4: 0.3040304761878207
x5: 0.28292366946536485
x6: 0.7765144136193143", "Arm 15_0

hartmann6: -0.726 [-0.918, -0.534]
l2norm: 1.091 [0.982, 1.199]

Parameterization:
x1: 0.46646638342383795
x2: 0.10574844651196175
x3: 0.1967278694819581
x4: 0.1962767968873855
x5: 0.28937810589907165
x6: 1.0", "Arm 16_0

hartmann6: -2.139 [-2.309, -1.968]
l2norm: 1.05 [0.971, 1.130]

Parameterization:
x1: 0.43232637162103565
x2: 0.14497532768464472
x3: 0.29830835657253635
x4: 0.39165232970988356
x5: 0.344003192003785
x6: 0.753454253553806", "Arm 17_0

hartmann6: -1.618 [-1.808, -1.428]
l2norm: 1.025 [0.909, 1.140]

Parameterization:
x1: 0.32525850964735753
x2: 0.10505967876597665
x3: 0.30994053511017206
x4: 0.05187223851346155
x5: 0.3867818459511234
x6: 0.7574268192529534", "Arm 18_0

hartmann6: -1.513 [-1.704, -1.322]
l2norm: 1.041 [0.926, 1.155]

Parameterization:
x1: 0.4794325746113217
x2: 0.19032757840216455
x3: 0.13175027795647798
x4: 0.4715267634205557
x5: 0.3684831455569182
x6: 0.7451573016681325" ] ], "y": [ [ 1.2066604049899794, 1.1560356111922458, 1.8686533750068282, 1.2802338944610052, 0.9818016175126085, 1.5797048789317143, 1.0379270872097324, 1.942456050559458, 0.9124106625736245, 1.8207050241954161, 1.6501033618953775, 1.341960789676522, 1.1241109164827925, 1.208472196464603, 1.019098426557319, 1.1244863744507623, 1.1655934713199938, 0.995785850614574, 0.9779625232900282 ], [ 1.2487458734067969, 1.1583687260206867, 1.7916745028606615, 1.286380088021182, 1.0012383300476702, 1.6112970461494798, 1.1436424642588867, 1.9085594984171714, 0.9635141013355661, 1.8169882430837812, 1.5989198009126535, 1.324288528081618, 1.0776315667728178, 1.1595259531679107, 1.0972305506699627, 1.0906085612920038, 1.0501661650913647, 1.0248690281454924, 1.0405287489557102 ] ] }, { "yaxis.title": "l2norm" } ], "label": "l2norm", "method": "update" } ], "x": 1.25, "xanchor": "left", "y": 0.72, "yanchor": "middle" } ], "width": 900, "xaxis": { "title": { "text": "hartmann6" }, "zeroline": true, "zerolinecolor": "red" }, "yaxis": { "title": { "text": "l2norm" }, "zeroline": true, "zerolinecolor": "red" } } }, "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(plot_objective_vs_constraints(model, \"hartmann6\", rel=False))" ] }, { "cell_type": "markdown", "id": "9303f618", "metadata": { "originalKey": "f2d4fae3-2140-45d0-8142-49b91548ca59", "papermill": { "duration": 0.513863, "end_time": "2024-09-23T20:31:57.297627", "exception": false, "start_time": "2024-09-23T20:31:56.783764", "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": "a206c86d", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T20:31:58.360182Z", "iopub.status.busy": "2024-09-23T20:31:58.359842Z", "iopub.status.idle": "2024-09-23T20:31:58.546262Z", "shell.execute_reply": "2024-09-23T20:31:58.545581Z" }, "executionStartTime": 1627397871181, "executionStopTime": 1627397871526, "originalKey": "f770f8a9-466c-4fd2-b268-3a0d166482f3", "papermill": { "duration": 0.697094, "end_time": "2024-09-23T20:31:58.548382", "exception": false, "start_time": "2024-09-23T20:31:57.851288", "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": [ 0.6438450021514229, 2.2402895314398545 ], "y": [ 0.6438450021514229, 2.2402895314398545 ] }, { "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": [ 0.33839261859500724, 0.4276932520572708, 0.2251813075261661, 0.2903515241792026, 0.2767597983318479, 0.24789778901623033, 0.09556522649336281, 0.4011640937841689, 0.2085400333011444, 0.2935020366678106, 0.45290613885995346, 0.3111160307269541, 0.10392414403938478, 0.12504925091223434, 0.0791953859532846, 0.1297805508145923, 0.08681751219552572, 0.14319479951943842, 0.14031385209602562 ], "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: 1.207 [1.011, 1.403]
Predicted Outcome: 1.374 [1.036, 1.713]

Parameterization:
x1: 0.30196624994277954
x2: 0.11523737758398056
x3: 0.6629658937454224
x4: 0.7873454689979553
x5: 0.5145511627197266
x6: 0.3524400591850281", "Arm 1_0

Actual Outcome: 1.156 [0.960, 1.352]
Predicted Outcome: 1.169 [0.742, 1.597]

Parameterization:
x1: 0.6908673066645861
x2: 0.8482067445293069
x3: 0.003922873176634312
x4: 0.4166109571233392
x5: 0.06039392575621605
x6: 0.5031738840043545", "Arm 2_0

Actual Outcome: 1.869 [1.673, 2.065]
Predicted Outcome: 1.69 [1.465, 1.915]

Parameterization:
x1: 0.8022277876734734
x2: 0.4810281889513135
x3: 0.7799998465925455
x4: 0.7465984290465713
x5: 0.47339808754622936
x6: 0.9817091226577759", "Arm 3_0

Actual Outcome: 1.28 [1.084, 1.476]
Predicted Outcome: 1.3 [1.010, 1.590]

Parameterization:
x1: 0.19067071750760078
x2: 0.7480550073087215
x3: 0.433946929872036
x4: 0.1095189768821001
x5: 0.960888147354126
x6: 0.13172589614987373", "Arm 4_0

Actual Outcome: 0.982 [0.786, 1.178]
Predicted Outcome: 1.04 [0.763, 1.317]

Parameterization:
x1: 0.08453149162232876
x2: 0.32796390913426876
x3: 0.18764745630323887
x4: 0.23973595537245274
x5: 0.8082779850810766
x6: 0.4026400577276945", "Arm 5_0

Actual Outcome: 1.58 [1.384, 1.776]
Predicted Outcome: 1.662 [1.414, 1.910]

Parameterization:
x1: 0.9070260617882013
x2: 0.5910845389589667
x3: 0.5964449271559715
x4: 0.6190057685598731
x5: 0.2584090009331703
x6: 0.7421098295599222", "Arm 6_0

Actual Outcome: 1.038 [0.842, 1.234]
Predicted Outcome: 1.169 [1.073, 1.264]

Parameterization:
x1: 0.5847281664609909
x2: 0.20828121434897184
x3: 0.3676697267219424
x4: 0.29664983693510294
x5: 0.2046272549778223
x6: 0.7753239925950766", "Arm 7_0

Actual Outcome: 1.942 [1.746, 2.138]
Predicted Outcome: 1.767 [1.365, 2.168]

Parameterization:
x1: 0.4067646227777004
x2: 0.9451567698270082
x3: 0.9634808832779527
x4: 0.9095651470124722
x5: 0.7214075513184071
x6: 0.11160479672253132", "Arm 8_0

Actual Outcome: 0.912 [0.716, 1.108]
Predicted Outcome: 1.021 [0.813, 1.230]

Parameterization:
x1: 0.47679008822888136
x2: 0.37917223293334246
x3: 0.2548801964148879
x4: 0.5087893707677722
x5: 0.1107695885002613
x6: 0.24757349863648415", "Arm 9_0

Actual Outcome: 1.821 [1.625, 2.017]
Predicted Outcome: 1.809 [1.515, 2.102]

Parameterization:
x1: 0.5297840526327491
x2: 0.6472978480160236
x3: 0.91221431363374
x4: 0.13050041906535625
x5: 0.5648076925426722
x6: 0.8966289609670639", "Arm 10_0

Actual Outcome: 1.65 [1.454, 1.846]
Predicted Outcome: 1.326 [0.873, 1.779]

Parameterization:
x1: 0.9770135628059506
x2: 0.030120238661766052
x3: 0.18423316441476345
x4: 0.9567631855607033
x5: 0.9016471281647682
x6: 0.6173126213252544", "Arm 11_0

Actual Outcome: 1.342 [1.146, 1.538]
Predicted Outcome: 1.28 [0.969, 1.591]

Parameterization:
x1: 0.029488124884665012
x2: 0.7619908088818192
x3: 0.5295535959303379
x4: 0.3428660752251744
x5: 0.4145203437656164
x6: 0.26906877011060715", "Arm 12_0

Actual Outcome: 1.124 [0.928, 1.320]
Predicted Outcome: 1.065 [0.961, 1.168]

Parameterization:
x1: 0.51530405821805
x2: 0.14701584431573872
x3: 0.2704035976581682
x4: 0.25291844750050085
x5: 0.12545483261193296
x6: 0.8667755153983483", "Arm 13_0

Actual Outcome: 1.208 [1.012, 1.404]
Predicted Outcome: 1.14 [1.015, 1.265]

Parameterization:
x1: 0.6162177651859237
x2: 0.22177024755628905
x3: 0.3981972684002891
x4: 0.19317075333365977
x5: 0.1711697388901783
x6: 0.6867489615507217", "Arm 14_0

Actual Outcome: 1.019 [0.823, 1.215]
Predicted Outcome: 1.11 [1.031, 1.189]

Parameterization:
x1: 0.5175545033778408
x2: 0.18440289745072344
x3: 0.3342686529611899
x4: 0.3040304761878207
x5: 0.28292366946536485
x6: 0.7765144136193143", "Arm 15_0

Actual Outcome: 1.124 [0.928, 1.320]
Predicted Outcome: 1.076 [0.946, 1.206]

Parameterization:
x1: 0.46646638342383795
x2: 0.10574844651196175
x3: 0.1967278694819581
x4: 0.1962767968873855
x5: 0.28937810589907165
x6: 1.0", "Arm 16_0

Actual Outcome: 1.166 [0.970, 1.362]
Predicted Outcome: 1.028 [0.941, 1.114]

Parameterization:
x1: 0.43232637162103565
x2: 0.14497532768464472
x3: 0.29830835657253635
x4: 0.39165232970988356
x5: 0.344003192003785
x6: 0.753454253553806", "Arm 17_0

Actual Outcome: 0.996 [0.800, 1.192]
Predicted Outcome: 1.04 [0.897, 1.184]

Parameterization:
x1: 0.32525850964735753
x2: 0.10505967876597665
x3: 0.30994053511017206
x4: 0.05187223851346155
x5: 0.3867818459511234
x6: 0.7574268192529534", "Arm 18_0

Actual Outcome: 0.978 [0.782, 1.174]
Predicted Outcome: 1.073 [0.932, 1.213]

Parameterization:
x1: 0.4794325746113217
x2: 0.19032757840216455
x3: 0.13175027795647798
x4: 0.4715267634205557
x5: 0.3684831455569182
x6: 0.7451573016681325" ], "type": "scatter", "visible": true, "x": [ 1.2066604049899794, 1.1560356111922458, 1.8686533750068282, 1.2802338944610052, 0.9818016175126085, 1.5797048789317143, 1.0379270872097324, 1.942456050559458, 0.9124106625736245, 1.8207050241954161, 1.6501033618953775, 1.341960789676522, 1.1241109164827925, 1.208472196464603, 1.019098426557319, 1.1244863744507623, 1.1655934713199938, 0.995785850614574, 0.9779625232900282 ], "y": [ 1.3741933081370006, 1.1694780790441437, 1.6900673986625265, 1.2998679250829883, 1.0399923429769373, 1.6618344098944842, 1.1687743922830423, 1.7665597772334842, 1.021365899092515, 1.8086537904799143, 1.3256228605988423, 1.2797613915130408, 1.0645644186865728, 1.1396022799062346, 1.1099866310693398, 1.0757552784239648, 1.0275191436520847, 1.040392333596366, 1.0725935765669994 ] }, { "hoverinfo": "none", "line": { "color": "black", "dash": "dot", "width": 2 }, "mode": "lines", "showlegend": false, "type": "scatter", "visible": false, "x": [ -2.7380475196806957, 1.343837483297329 ], "y": [ -2.7380475196806957, 1.343837483297329 ] }, { "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": [ 1.386990552534683, 1.3910421619815112, 1.2704026115649512, 1.4031913320265574, 1.391245963224371, 1.2311148825542302, 0.23400160483662108, 1.430061315280354, 1.3689022297809568, 1.3364491362311015, 1.4232971807074446, 1.3723441476854144, 0.6443842835921779, 0.5412411117781325, 0.19739875779535246, 0.9175915126825732, 0.3473362270833646, 0.7619138207047916, 0.8582002059867737 ], "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: 0.008 [-0.188, 0.204]
Predicted Outcome: -0.375 [-1.762, 1.012]

Parameterization:
x1: 0.30196624994277954
x2: 0.11523737758398056
x3: 0.6629658937454224
x4: 0.7873454689979553
x5: 0.5145511627197266
x6: 0.3524400591850281", "Arm 1_0

Actual Outcome: -0.087 [-0.283, 0.109]
Predicted Outcome: -0.392 [-1.783, 0.999]

Parameterization:
x1: 0.6908673066645861
x2: 0.8482067445293069
x3: 0.003922873176634312
x4: 0.4166109571233392
x5: 0.06039392575621605
x6: 0.5031738840043545", "Arm 2_0

Actual Outcome: -0.263 [-0.459, -0.067]
Predicted Outcome: -0.179 [-1.450, 1.091]

Parameterization:
x1: 0.8022277876734734
x2: 0.4810281889513135
x3: 0.7799998465925455
x4: 0.7465984290465713
x5: 0.47339808754622936
x6: 0.9817091226577759", "Arm 3_0

Actual Outcome: -0.332 [-0.528, -0.136]
Predicted Outcome: -0.245 [-1.648, 1.158]

Parameterization:
x1: 0.19067071750760078
x2: 0.7480550073087215
x3: 0.433946929872036
x4: 0.1095189768821001
x5: 0.960888147354126
x6: 0.13172589614987373", "Arm 4_0

Actual Outcome: -0.025 [-0.221, 0.171]
Predicted Outcome: -0.363 [-1.754, 1.028]

Parameterization:
x1: 0.08453149162232876
x2: 0.32796390913426876
x3: 0.18764745630323887
x4: 0.23973595537245274
x5: 0.8082779850810766
x6: 0.4026400577276945", "Arm 5_0

Actual Outcome: -0.24 [-0.436, -0.044]
Predicted Outcome: -0.566 [-1.797, 0.665]

Parameterization:
x1: 0.9070260617882013
x2: 0.5910845389589667
x3: 0.5964449271559715
x4: 0.6190057685598731
x5: 0.2584090009331703
x6: 0.7421098295599222", "Arm 6_0

Actual Outcome: -1.573 [-1.769, -1.377]
Predicted Outcome: -1.607 [-1.841, -1.373]

Parameterization:
x1: 0.5847281664609909
x2: 0.20828121434897184
x3: 0.3676697267219424
x4: 0.29664983693510294
x5: 0.2046272549778223
x6: 0.7753239925950766", "Arm 7_0

Actual Outcome: -1.027 [-1.223, -0.831]
Predicted Outcome: -0.291 [-1.721, 1.139]

Parameterization:
x1: 0.4067646227777004
x2: 0.9451567698270082
x3: 0.9634808832779527
x4: 0.9095651470124722
x5: 0.7214075513184071
x6: 0.11160479672253132", "Arm 8_0

Actual Outcome: -0.46 [-0.656, -0.264]
Predicted Outcome: -0.354 [-1.723, 1.015]

Parameterization:
x1: 0.47679008822888136
x2: 0.37917223293334246
x3: 0.2548801964148879
x4: 0.5087893707677722
x5: 0.1107695885002613
x6: 0.24757349863648415", "Arm 9_0

Actual Outcome: -0.061 [-0.257, 0.135]
Predicted Outcome: -0.288 [-1.625, 1.048]

Parameterization:
x1: 0.5297840526327491
x2: 0.6472978480160236
x3: 0.91221431363374
x4: 0.13050041906535625
x5: 0.5648076925426722
x6: 0.8966289609670639", "Arm 10_0

Actual Outcome: 0.029 [-0.167, 0.225]
Predicted Outcome: -0.348 [-1.771, 1.076]

Parameterization:
x1: 0.9770135628059506
x2: 0.030120238661766052
x3: 0.18423316441476345
x4: 0.9567631855607033
x5: 0.9016471281647682
x6: 0.6173126213252544", "Arm 11_0

Actual Outcome: -0.221 [-0.417, -0.025]
Predicted Outcome: -0.285 [-1.657, 1.087]

Parameterization:
x1: 0.029488124884665012
x2: 0.7619908088818192
x3: 0.5295535959303379
x4: 0.3428660752251744
x5: 0.4145203437656164
x6: 0.26906877011060715", "Arm 12_0

Actual Outcome: -1.096 [-1.292, -0.900]
Predicted Outcome: -1.139 [-1.783, -0.494]

Parameterization:
x1: 0.51530405821805
x2: 0.14701584431573872
x3: 0.2704035976581682
x4: 0.25291844750050085
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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": "00f842c3", "metadata": { "originalKey": "40f8ee99-fee8-4fd9-9cff-a7aa230dd5ae", "papermill": { "duration": 0.511514, "end_time": "2024-09-23T20:31:59.581162", "exception": false, "start_time": "2024-09-23T20:31:59.069648", "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": "1170d0b0", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T20:32:00.610855Z", "iopub.status.busy": "2024-09-23T20:32:00.610209Z", "iopub.status.idle": "2024-09-23T20:32:00.681965Z", "shell.execute_reply": "2024-09-23T20:32:00.681260Z" }, "executionStartTime": 1627397880415, "executionStopTime": 1627397880572, "originalKey": "aed7c789-a024-48c6-86f7-502e571e298f", "papermill": { "duration": 0.588292, "end_time": "2024-09-23T20:32:00.683701", "exception": false, "start_time": "2024-09-23T20:32:00.095409", "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": "d4b8dd77", "metadata": { "originalKey": "4975848f-31d4-4ed0-976c-39e3b7474fb7", "papermill": { "duration": 0.517416, "end_time": "2024-09-23T20:32:01.722474", "exception": false, "start_time": "2024-09-23T20:32:01.205058", "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": "776cf6c6", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T20:32:02.769920Z", "iopub.status.busy": "2024-09-23T20:32:02.769185Z", "iopub.status.idle": "2024-09-23T20:32:02.867456Z", "shell.execute_reply": "2024-09-23T20:32:02.866758Z" }, "executionStartTime": 1627397890236, "executionStopTime": 1627397890496, "originalKey": "2ed10008-8adf-4ce2-8334-04a4f2a3e895", "papermill": { "duration": 0.620122, "end_time": "2024-09-23T20:32:02.868930", "exception": false, "start_time": "2024-09-23T20:32:02.248808", "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": [ 0.19407182899488265, 0.1940828807673501, 0.19370815261537588, 0.1941154596335254, 0.19408343418634355, 0.19356230358474258, 0.1502555241525753, 0.19418464147149592, 0.19402130977386597, 0.19392558444838104, 0.19416758750105703, 0.1940310737954328, 0.18751755816767723, 0.1842884669679335, 0.13908482715763706, 0.1916760554522679, 0.17069774129855866, 0.18981984854189018, 0.19108000497391975 ], "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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Parameterization:
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Parameterization:
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Parameterization:
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x4: 0.19317075333365977
x5: 0.1711697388901783
x6: 0.6867489615507217", "Arm 14_0

hartmann6: -1.936 [-2.075, -1.797]

Parameterization:
x1: 0.5175545033778408
x2: 0.18440289745072344
x3: 0.3342686529611899
x4: 0.3040304761878207
x5: 0.28292366946536485
x6: 0.7765144136193143", "Arm 15_0

hartmann6: -0.726 [-0.918, -0.534]

Parameterization:
x1: 0.46646638342383795
x2: 0.10574844651196175
x3: 0.1967278694819581
x4: 0.1962767968873855
x5: 0.28937810589907165
x6: 1.0", "Arm 16_0

hartmann6: -2.139 [-2.309, -1.968]

Parameterization:
x1: 0.43232637162103565
x2: 0.14497532768464472
x3: 0.29830835657253635
x4: 0.39165232970988356
x5: 0.344003192003785
x6: 0.753454253553806", "Arm 17_0

hartmann6: -1.618 [-1.808, -1.428]

Parameterization:
x1: 0.32525850964735753
x2: 0.10505967876597665
x3: 0.30994053511017206
x4: 0.05187223851346155
x5: 0.3867818459511234
x6: 0.7574268192529534", "Arm 18_0

hartmann6: -1.513 [-1.704, -1.322]

Parameterization:
x1: 0.4794325746113217
x2: 0.19032757840216455
x3: 0.13175027795647798
x4: 0.4715267634205557
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l2norm: 1.249 [1.079, 1.418]

Parameterization:
x1: 0.30196624994277954
x2: 0.11523737758398056
x3: 0.6629658937454224
x4: 0.7873454689979553
x5: 0.5145511627197266
x6: 0.3524400591850281", "Arm 1_0

l2norm: 1.158 [0.980, 1.337]

Parameterization:
x1: 0.6908673066645861
x2: 0.8482067445293069
x3: 0.003922873176634312
x4: 0.4166109571233392
x5: 0.06039392575621605
x6: 0.5031738840043545", "Arm 2_0

l2norm: 1.792 [1.644, 1.940]

Parameterization:
x1: 0.8022277876734734
x2: 0.4810281889513135
x3: 0.7799998465925455
x4: 0.7465984290465713
x5: 0.47339808754622936
x6: 0.9817091226577759", "Arm 3_0

l2norm: 1.286 [1.124, 1.449]

Parameterization:
x1: 0.19067071750760078
x2: 0.7480550073087215
x3: 0.433946929872036
x4: 0.1095189768821001
x5: 0.960888147354126
x6: 0.13172589614987373", "Arm 4_0

l2norm: 1.001 [0.841, 1.161]

Parameterization:
x1: 0.08453149162232876
x2: 0.32796390913426876
x3: 0.18764745630323887
x4: 0.23973595537245274
x5: 0.8082779850810766
x6: 0.4026400577276945", "Arm 5_0

l2norm: 1.611 [1.458, 1.765]

Parameterization:
x1: 0.9070260617882013
x2: 0.5910845389589667
x3: 0.5964449271559715
x4: 0.6190057685598731
x5: 0.2584090009331703
x6: 0.7421098295599222", "Arm 6_0

l2norm: 1.144 [1.058, 1.230]

Parameterization:
x1: 0.5847281664609909
x2: 0.20828121434897184
x3: 0.3676697267219424
x4: 0.29664983693510294
x5: 0.2046272549778223
x6: 0.7753239925950766", "Arm 7_0

l2norm: 1.909 [1.732, 2.085]

Parameterization:
x1: 0.4067646227777004
x2: 0.9451567698270082
x3: 0.9634808832779527
x4: 0.9095651470124722
x5: 0.7214075513184071
x6: 0.11160479672253132", "Arm 8_0

l2norm: 0.964 [0.821, 1.106]

Parameterization:
x1: 0.47679008822888136
x2: 0.37917223293334246
x3: 0.2548801964148879
x4: 0.5087893707677722
x5: 0.1107695885002613
x6: 0.24757349863648415", "Arm 9_0

l2norm: 1.817 [1.654, 1.980]

Parameterization:
x1: 0.5297840526327491
x2: 0.6472978480160236
x3: 0.91221431363374
x4: 0.13050041906535625
x5: 0.5648076925426722
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l2norm: 1.599 [1.419, 1.779]

Parameterization:
x1: 0.9770135628059506
x2: 0.030120238661766052
x3: 0.18423316441476345
x4: 0.9567631855607033
x5: 0.9016471281647682
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l2norm: 1.324 [1.158, 1.490]

Parameterization:
x1: 0.029488124884665012
x2: 0.7619908088818192
x3: 0.5295535959303379
x4: 0.3428660752251744
x5: 0.4145203437656164
x6: 0.26906877011060715", "Arm 12_0

l2norm: 1.078 [0.986, 1.169]

Parameterization:
x1: 0.51530405821805
x2: 0.14701584431573872
x3: 0.2704035976581682
x4: 0.25291844750050085
x5: 0.12545483261193296
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l2norm: 1.16 [1.054, 1.265]

Parameterization:
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x2: 0.22177024755628905
x3: 0.3981972684002891
x4: 0.19317075333365977
x5: 0.1711697388901783
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l2norm: 1.097 [1.024, 1.171]

Parameterization:
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x3: 0.3342686529611899
x4: 0.3040304761878207
x5: 0.28292366946536485
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l2norm: 1.091 [0.982, 1.199]

Parameterization:
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x2: 0.10574844651196175
x3: 0.1967278694819581
x4: 0.1962767968873855
x5: 0.28937810589907165
x6: 1.0", "Arm 16_0

l2norm: 1.05 [0.971, 1.130]

Parameterization:
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x2: 0.14497532768464472
x3: 0.29830835657253635
x4: 0.39165232970988356
x5: 0.344003192003785
x6: 0.753454253553806", "Arm 17_0

l2norm: 1.025 [0.909, 1.140]

Parameterization:
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x3: 0.30994053511017206
x4: 0.05187223851346155
x5: 0.3867818459511234
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l2norm: 1.041 [0.926, 1.155]

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": "538c744b", "metadata": { "papermill": { "duration": 0.562625, "end_time": "2024-09-23T20:32:03.959136", "exception": false, "start_time": "2024-09-23T20:32:03.396511", "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": "e084e34e", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T20:32:05.005562Z", "iopub.status.busy": "2024-09-23T20:32:05.005286Z", "iopub.status.idle": "2024-09-23T20:32:05.371947Z", "shell.execute_reply": "2024-09-23T20:32:05.371186Z" }, "papermill": { "duration": 0.894129, "end_time": "2024-09-23T20:32:05.375804", "exception": false, "start_time": "2024-09-23T20:32:04.481675", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-23 20:32:05] 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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