{ "cells": [ { "cell_type": "markdown", "metadata": { "originalKey": "e23719d9-8a24-4208-8439-34e7b8270c79" }, "source": [ "# Visualizations\n", "\n", "This tutorial illustrates the core visualization utilities available in Ax." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "code_folding": [], "collapsed": false, "execution": { "iopub.execute_input": "2022-09-15T17:21:33.343505Z", "iopub.status.busy": "2022-09-15T17:21:33.343120Z", "iopub.status.idle": "2022-09-15T17:21:36.098303Z", "shell.execute_reply": "2022-09-15T17:21:36.097260Z" }, "executionStartTime": 1627652821316, "executionStopTime": 1627652822868, "hidden_ranges": [], "originalKey": "101b0e96-5b3d-48c5-bf3c-677b4ddf90c7", "requestMsgId": "c0dd9aaf-896d-4ea9-912f-1e58d301d114" }, "outputs": [ { "data": { "text/html": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:35] ax.utils.notebook.plotting: Injecting Plotly library into cell. Do not overwrite or delete cell.\n" ] }, { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from ax.service.ax_client import AxClient\n", "\n", "from ax.modelbridge.cross_validation import cross_validate\n", "from ax.plot.contour import interact_contour\n", "from ax.plot.diagnostic import interact_cross_validation\n", "from ax.plot.scatter import(\n", " interact_fitted,\n", " plot_objective_vs_constraints,\n", " tile_fitted,\n", ")\n", "from ax.plot.slice import plot_slice\n", "from ax.utils.measurement.synthetic_functions import hartmann6\n", "from ax.utils.notebook.plotting import render, init_notebook_plotting\n", "\n", "init_notebook_plotting()" ] }, { "cell_type": "markdown", "metadata": { "code_folding": [], "hidden_ranges": [], "originalKey": "8449378f-890e-4e76-8d73-ce2aa4120a69", "showInput": true }, "source": [ "## 1. Create experiment and run optimization\n", "\n", "The vizualizations require an experiment object and a model fit on the evaluated data. The routine below is a copy of the Service API tutorial, so the explanation here is omitted. Retrieving the experiment and model objects for each API paradigm is shown in the respective tutorials" ] }, { "cell_type": "markdown", "metadata": { "originalKey": "f7544e06-6c6a-4841-b659-3be6a198a948" }, "source": [ "#### 1a. Define search space and evaluation function" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "code_folding": [], "collapsed": false, "execution": { "iopub.execute_input": "2022-09-15T17:21:36.168915Z", "iopub.status.busy": "2022-09-15T17:21:36.168345Z", "iopub.status.idle": "2022-09-15T17:21:36.175084Z", "shell.execute_reply": "2022-09-15T17:21:36.174118Z" }, "executionStartTime": 1627652824829, "executionStopTime": 1627652824877, "hidden_ranges": [], "originalKey": "28f6cb76-828f-445d-bdda-ba057c87dcd0", "requestMsgId": "7495e7e2-1025-4292-b3aa-e953739cef3e" }, "outputs": [], "source": [ "noise_sd = 0.1\n", "param_names = [f\"x{i+1}\" for i in range(6)] # x1, x2, ..., x6\n", "\n", "def noisy_hartmann_evaluation_function(parameterization):\n", " x = np.array([parameterization.get(p_name) for p_name in param_names])\n", " noise1, noise2 = np.random.normal(0, noise_sd, 2)\n", "\n", " return {\n", " \"hartmann6\": (hartmann6(x) + noise1, noise_sd),\n", " \"l2norm\": (np.sqrt((x ** 2).sum()) + noise2, noise_sd)\n", " }\n" ] }, { "cell_type": "markdown", "metadata": { "originalKey": "17a51543-298e-47d4-bcd9-33459fe1169e" }, "source": [ "#### 1b. Create Experiment" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "code_folding": [], "collapsed": false, "execution": { "iopub.execute_input": "2022-09-15T17:21:36.179826Z", "iopub.status.busy": "2022-09-15T17:21:36.179375Z", "iopub.status.idle": "2022-09-15T17:21:36.196057Z", "shell.execute_reply": "2022-09-15T17:21:36.194800Z" }, "executionStartTime": 1627654956712, "executionStopTime": 1627654956823, "hidden_ranges": [], "originalKey": "6fca889c-a4ff-42ef-a669-6eb8803de89c", "requestMsgId": "905eff52-e649-4bd5-abf0-ff69c1549852" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] 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 09-15 17:21:36] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x1. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x2. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x3. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x4. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x5. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x6. If that is not the expected value type, you can explicity specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] 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 09-15 17:21:36] ax.modelbridge.dispatch_utils: Using Bayesian optimization since there are more ordered parameters than there are categories for the unordered categorical parameters.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.modelbridge.dispatch_utils: Using Bayesian Optimization generation strategy: GenerationStrategy(name='Sobol+GPEI', steps=[Sobol for 12 trials, GPEI for subsequent trials]). Iterations after 12 will take longer to generate due to model-fitting.\n" ] } ], "source": [ "ax_client = AxClient()\n", "ax_client.create_experiment(\n", " name=\"test_visualizations\",\n", " parameters=[\n", " {\n", " \"name\": p_name,\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " }\n", " for p_name in param_names\n", " ],\n", " objective_name=\"hartmann6\",\n", " minimize=True,\n", " outcome_constraints=[\"l2norm <= 1.25\"]\n", ")" ] }, { "cell_type": "markdown", "metadata": { "code_folding": [], "hidden_ranges": [], "originalKey": "ab892f7c-4830-4c1d-b476-ec1078ec3faf", "showInput": false }, "source": [ "#### 1c. Run the optimization and fit a GP on all data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "code_folding": [], "collapsed": false, "execution": { "iopub.execute_input": "2022-09-15T17:21:36.200439Z", "iopub.status.busy": "2022-09-15T17:21:36.200065Z", "iopub.status.idle": "2022-09-15T17:23:29.695701Z", "shell.execute_reply": "2022-09-15T17:23:29.694747Z" }, "executionStartTime": 1627654642967, "executionStopTime": 1627654862819, "hidden_ranges": [], "originalKey": "7269a5ba-45c8-4acf-ac83-a5ea8a52d6c1", "requestMsgId": "c7a4dea8-fd6d-4e1a-84de-ad973ede0cd7" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 0 with parameters {'x1': 0.412969, 'x2': 0.328518, 'x3': 0.765503, 'x4': 0.090356, 'x5': 0.084397, 'x6': 0.229964}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 0 with data: {'hartmann6': (-0.254166, 0.1), 'l2norm': (1.062691, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 1 with parameters {'x1': 0.400361, 'x2': 0.694227, 'x3': 0.263258, 'x4': 0.456069, 'x5': 0.694066, 'x6': 0.551439}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 1 with data: {'hartmann6': (-0.216456, 0.1), 'l2norm': (1.377596, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 2 with parameters {'x1': 0.527782, 'x2': 0.281631, 'x3': 0.459004, 'x4': 0.85833, 'x5': 0.382644, 'x6': 0.843758}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 2 with data: {'hartmann6': (-0.093704, 0.1), 'l2norm': (1.565636, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 3 with parameters {'x1': 0.964993, 'x2': 0.606123, 'x3': 0.724707, 'x4': 0.674225, 'x5': 0.850825, 'x6': 0.760082}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 3 with data: {'hartmann6': (-0.032231, 0.1), 'l2norm': (1.856033, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 4 with parameters {'x1': 0.855739, 'x2': 0.521387, 'x3': 0.202258, 'x4': 0.114507, 'x5': 0.392379, 'x6': 0.866037}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 4 with data: {'hartmann6': (-0.327491, 0.1), 'l2norm': (1.269839, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 5 with parameters {'x1': 0.23947, 'x2': 0.446653, 'x3': 0.181172, 'x4': 0.457178, 'x5': 0.601999, 'x6': 0.869284}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 5 with data: {'hartmann6': (-0.292095, 0.1), 'l2norm': (1.205225, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 6 with parameters {'x1': 0.852697, 'x2': 0.887604, 'x3': 0.303298, 'x4': 0.77791, 'x5': 0.70816, 'x6': 0.200014}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 6 with data: {'hartmann6': (0.003432, 0.1), 'l2norm': (1.520647, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 7 with parameters {'x1': 0.137982, 'x2': 0.164091, 'x3': 0.994962, 'x4': 0.183641, 'x5': 0.758688, 'x6': 0.336802}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 7 with data: {'hartmann6': (-0.13732, 0.1), 'l2norm': (1.360396, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 8 with parameters {'x1': 0.998569, 'x2': 0.069484, 'x3': 0.86861, 'x4': 0.020381, 'x5': 0.419802, 'x6': 0.195323}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 8 with data: {'hartmann6': (-0.086671, 0.1), 'l2norm': (1.346619, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 9 with parameters {'x1': 0.873837, 'x2': 0.508701, 'x3': 0.475132, 'x4': 0.096994, 'x5': 0.492009, 'x6': 0.077229}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 9 with data: {'hartmann6': (0.099158, 0.1), 'l2norm': (1.226503, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 10 with parameters {'x1': 0.425132, 'x2': 0.459248, 'x3': 0.799464, 'x4': 0.641969, 'x5': 0.985835, 'x6': 0.552843}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 10 with data: {'hartmann6': (0.001006, 0.1), 'l2norm': (1.707721, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Generated new trial 11 with parameters {'x1': 0.662244, 'x2': 0.670021, 'x3': 0.000235, 'x4': 0.809495, 'x5': 0.215972, 'x6': 0.31156}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:36] ax.service.ax_client: Completed trial 11 with data: {'hartmann6': (-0.01377, 0.1), 'l2norm': (1.357761, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:48] ax.service.ax_client: Generated new trial 12 with parameters {'x1': 0.332177, 'x2': 0.432272, 'x3': 0.145211, 'x4': 0.289302, 'x5': 0.50205, 'x6': 0.86715}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:21:48] ax.service.ax_client: Completed trial 12 with data: {'hartmann6': (-0.933392, 0.1), 'l2norm': (1.213185, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:22:44] ax.service.ax_client: Generated new trial 13 with parameters {'x1': 0.337652, 'x2': 0.442638, 'x3': 0.213407, 'x4': 0.258784, 'x5': 0.410148, 'x6': 0.808832}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:22:44] ax.service.ax_client: Completed trial 13 with data: {'hartmann6': (-1.360083, 0.1), 'l2norm': (1.081447, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:13] ax.service.ax_client: Generated new trial 14 with parameters {'x1': 0.317832, 'x2': 0.429257, 'x3': 0.210136, 'x4': 0.19964, 'x5': 0.374641, 'x6': 0.772252}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:13] ax.service.ax_client: Completed trial 14 with data: {'hartmann6': (-1.580677, 0.1), 'l2norm': (1.173073, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:15] ax.service.ax_client: Generated new trial 15 with parameters {'x1': 0.319015, 'x2': 0.438675, 'x3': 0.21249, 'x4': 0.18008, 'x5': 0.315566, 'x6': 0.792599}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:15] ax.service.ax_client: Completed trial 15 with data: {'hartmann6': (-1.700773, 0.1), 'l2norm': (0.988241, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:23] ax.service.ax_client: Generated new trial 16 with parameters {'x1': 0.279883, 'x2': 0.416912, 'x3': 0.257569, 'x4': 0.132701, 'x5': 0.30657, 'x6': 0.773901}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:23] ax.service.ax_client: Completed trial 16 with data: {'hartmann6': (-1.805066, 0.1), 'l2norm': (1.05792, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:25] ax.service.ax_client: Generated new trial 17 with parameters {'x1': 0.288451, 'x2': 0.351195, 'x3': 0.202783, 'x4': 0.130344, 'x5': 0.24475, 'x6': 0.782968}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:25] ax.service.ax_client: Completed trial 17 with data: {'hartmann6': (-1.7629, 0.1), 'l2norm': (0.930239, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:27] ax.service.ax_client: Generated new trial 18 with parameters {'x1': 0.255876, 'x2': 0.490113, 'x3': 0.202269, 'x4': 0.103008, 'x5': 0.237842, 'x6': 0.777957}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:27] ax.service.ax_client: Completed trial 18 with data: {'hartmann6': (-1.147839, 0.1), 'l2norm': (1.084243, 0.1)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:29] ax.service.ax_client: Generated new trial 19 with parameters {'x1': 0.326781, 'x2': 0.369115, 'x3': 0.27679, 'x4': 0.151255, 'x5': 0.304935, 'x6': 0.792773}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:29] ax.service.ax_client: Completed trial 19 with data: {'hartmann6': (-1.681368, 0.1), 'l2norm': (0.941332, 0.1)}.\n" ] } ], "source": [ "for i in range(20):\n", " parameters, trial_index = ax_client.get_next_trial()\n", " # Local evaluation here can be replaced with deployment to external system.\n", " ax_client.complete_trial(trial_index=trial_index, raw_data=noisy_hartmann_evaluation_function(parameters))" ] }, { "cell_type": "markdown", "metadata": { "originalKey": "72f4d3e7-fa04-43d0-8451-ded292e705df" }, "source": [ "## 2. Contour plots\n", "\n", "The plot below shows the response surface for `hartmann6` metric as a function of the `x1`, `x2` parameters.\n", "\n", "The other parameters are fixed in the middle of their respective ranges, which in this example is 0.5 for all of them." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "code_folding": [], "collapsed": false, "execution": { "iopub.execute_input": "2022-09-15T17:23:29.700213Z", "iopub.status.busy": "2022-09-15T17:23:29.699807Z", "iopub.status.idle": "2022-09-15T17:23:30.719362Z", "shell.execute_reply": "2022-09-15T17:23:30.718430Z" }, "executionStartTime": 1627654870209, "executionStopTime": 1627654871972, "hidden_ranges": [], "originalKey": "843df85c-965d-4a83-9fe1-696225d81c0f", "requestMsgId": "4a643541-867c-46b6-868d-64337920c2a3" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 09-15 17:23:29] 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", "metadata": { "originalKey": "1de0991a-d99b-4d07-acec-4a2eb4a20a73" }, "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, "metadata": { "code_folding": [], "collapsed": false, "execution": { "iopub.execute_input": "2022-09-15T17:23:30.730454Z", "iopub.status.busy": "2022-09-15T17:23:30.729536Z", "iopub.status.idle": "2022-09-15T17:23:52.079528Z", "shell.execute_reply": "2022-09-15T17:23:52.078418Z" }, "executionStartTime": 1627652959076, "executionStopTime": 1627652982911, "hidden_ranges": [], "originalKey": "4af9f166-0163-4ff5-9ecb-f534a69efe3d", "requestMsgId": "2de6919e-92e1-4425-8d90-b117e9f41855" }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "autocolorscale": false, "autocontour": true, "colorbar": { "len": 0.875, "tickfont": { "size": 8 }, "ticksuffix": "", "x": 0.45, "y": 0.5 }, "colorscale": 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0.0, 1.0 ], "xaxis.title": "x6", "xaxis.type": "linear", "xaxis2.range": [ 0.0, 1.0 ], "xaxis2.title": "x6", "xaxis2.type": "linear" } ], "label": "x6", "method": "update" } ], "direction": "up", "x": 0.35, "xanchor": "left", "y": -0.29, "yanchor": "middle" }, { "buttons": [ { "args": [ { "visible": [ false, false, false, false, true, true, true, true, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false ] }, { "yaxis.range": [ 0.0, 1.0 ], "yaxis.title": "x2", "yaxis.type": "linear", "yaxis2.range": [ 0.0, 1.0 ], "yaxis2.type": "linear" } ], "label": "x2", "method": "update" }, { "args": [ { "visible": [ false, false, false, false, false, false, false, false, true, true, true, true, false, false, false, false, false, false, false, false, false, false, false, false ] }, { "yaxis.range": [ 0.0, 1.0 ], "yaxis.title": "x3", "yaxis.type": "linear", "yaxis2.range": [ 0.0, 1.0 ], "yaxis2.type": "linear" } ], "label": "x3", "method": "update" }, { "args": [ { "visible": [ false, false, false, false, false, false, false, false, false, false, false, false, true, true, true, true, false, false, false, false, false, false, false, false ] }, { "yaxis.range": [ 0.0, 1.0 ], "yaxis.title": "x4", "yaxis.type": "linear", "yaxis2.range": [ 0.0, 1.0 ], "yaxis2.type": "linear" } ], "label": "x4", "method": "update" }, { "args": [ { "visible": [ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, true, true, true, true, false, false, false, false ] }, { "yaxis.range": [ 0.0, 1.0 ], "yaxis.title": "x5", "yaxis.type": "linear", "yaxis2.range": [ 0.0, 1.0 ], "yaxis2.type": "linear" } ], "label": "x5", "method": "update" }, { "args": [ { "visible": [ false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, true, true, true, true ] }, { "yaxis.range": [ 0.0, 1.0 ], "yaxis.title": "x6", "yaxis.type": "linear", "yaxis2.range": [ 0.0, 1.0 ], "yaxis2.type": "linear" } ], "label": "x6", "method": "update" } ], "direction": "up", "x": 0.35, "xanchor": "left", "y": -0.43, "yanchor": "middle" } ], "width": 950, "xaxis": { "anchor": "y", "autorange": false, "domain": [ 0.05, 0.45 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x1" }, "type": "linear" }, "xaxis2": { "anchor": "y2", "autorange": false, "domain": [ 0.6, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x1" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": false, "domain": [ 0, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x2" }, "type": "linear" }, "yaxis2": { "anchor": "x2", "autorange": false, "domain": [ 0, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "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", "metadata": { "originalKey": "1ff470bb-5daf-4179-b814-01cc80dafe3e" }, "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, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-09-15T17:23:52.361330Z", "iopub.status.busy": "2022-09-15T17:23:52.360553Z", "iopub.status.idle": "2022-09-15T17:23:52.589463Z", "shell.execute_reply": "2022-09-15T17:23:52.588321Z" }, "executionStartTime": 1627652996903, "executionStopTime": 1627652997294, "originalKey": "57023556-0293-44ef-91d6-81b911ff41d3", "requestMsgId": "10b72ecc-a019-42a1-8358-18f14927ef75" }, "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: -0.254 [-0.450, -0.058]
l2norm: 1.063 [0.867, 1.259]

Parameterization:
x1: 0.4129689335823059
x2: 0.32851845026016235
x3: 0.7655025720596313
x4: 0.09035579860210419
x5: 0.0843968391418457
x6: 0.22996364533901215", "Arm 1_0

hartmann6: -0.216 [-0.412, -0.020]
l2norm: 1.378 [1.182, 1.574]

Parameterization:
x1: 0.40036139637231827
x2: 0.6942271813750267
x3: 0.26325766555964947
x4: 0.4560690512880683
x5: 0.6940662646666169
x6: 0.5514387544244528", "Arm 2_0

hartmann6: -0.094 [-0.290, 0.102]
l2norm: 1.566 [1.370, 1.762]

Parameterization:
x1: 0.5277824848890305
x2: 0.28163092117756605
x3: 0.4590043667703867
x4: 0.85833031963557
x5: 0.38264443445950747
x6: 0.8437578259035945", "Arm 3_0

hartmann6: -0.032 [-0.228, 0.164]
l2norm: 1.856 [1.660, 2.052]

Parameterization:
x1: 0.9649926330894232
x2: 0.6061234893277287
x3: 0.7247066171839833
x4: 0.6742253098636866
x5: 0.8508247071877122
x6: 0.7600819021463394", "Arm 4_0

hartmann6: -0.327 [-0.523, -0.131]
l2norm: 1.27 [1.074, 1.466]

Parameterization:
x1: 0.8557394677773118
x2: 0.5213865581899881
x3: 0.2022577477619052
x4: 0.11450722441077232
x5: 0.3923788731917739
x6: 0.8660368882119656", "Arm 5_0

hartmann6: -0.292 [-0.488, -0.096]
l2norm: 1.205 [1.009, 1.401]

Parameterization:
x1: 0.23947031050920486
x2: 0.44665265921503305
x3: 0.18117235507816076
x4: 0.4571777991950512
x5: 0.6019991338253021
x6: 0.8692843439057469", "Arm 6_0

hartmann6: 0.003 [-0.193, 0.199]
l2norm: 1.521 [1.325, 1.717]

Parameterization:
x1: 0.8526966096833348
x2: 0.8876042636111379
x3: 0.30329803191125393
x4: 0.7779104523360729
x5: 0.7081601601094007
x6: 0.20001412648707628", "Arm 7_0

hartmann6: -0.137 [-0.333, 0.059]
l2norm: 1.36 [1.164, 1.556]

Parameterization:
x1: 0.13798236288130283
x2: 0.1640914622694254
x3: 0.9949622806161642
x4: 0.18364096153527498
x5: 0.7586884684860706
x6: 0.33680226001888514", "Arm 8_0

hartmann6: -0.087 [-0.283, 0.109]
l2norm: 1.347 [1.151, 1.543]

Parameterization:
x1: 0.9985692538321018
x2: 0.0694844014942646
x3: 0.8686098586767912
x4: 0.020380834117531776
x5: 0.4198016822338104
x6: 0.19532301370054483", "Arm 9_0

hartmann6: 0.099 [-0.097, 0.295]
l2norm: 1.227 [1.031, 1.423]

Parameterization:
x1: 0.8738373992964625
x2: 0.5087014408782125
x3: 0.47513218130916357
x4: 0.0969937201589346
x5: 0.49200921319425106
x6: 0.07722921948879957", "Arm 10_0

hartmann6: 0.001 [-0.195, 0.197]
l2norm: 1.708 [1.512, 1.904]

Parameterization:
x1: 0.42513205017894506
x2: 0.45924831088632345
x3: 0.7994640646502376
x4: 0.6419692561030388
x5: 0.9858345314860344
x6: 0.5528434924781322", "Arm 11_0

hartmann6: -0.014 [-0.210, 0.182]
l2norm: 1.358 [1.162, 1.554]

Parameterization:
x1: 0.6622442910447717
x2: 0.6700205281376839
x3: 0.00023519620299339294
x4: 0.8094953829422593
x5: 0.21597233600914478
x6: 0.31156021635979414", "Arm 12_0

hartmann6: -0.933 [-1.129, -0.737]
l2norm: 1.213 [1.017, 1.409]

Parameterization:
x1: 0.3321767457857641
x2: 0.43227223046486285
x3: 0.14521128397044133
x4: 0.2893021380295424
x5: 0.5020495173581346
x6: 0.8671497263391589", "Arm 13_0

hartmann6: -1.36 [-1.556, -1.164]
l2norm: 1.081 [0.885, 1.277]

Parameterization:
x1: 0.3376520974836563
x2: 0.4426381051898372
x3: 0.21340699977583105
x4: 0.2587843698750837
x5: 0.4101479878376084
x6: 0.8088315703213175", "Arm 14_0

hartmann6: -1.581 [-1.777, -1.385]
l2norm: 1.173 [0.977, 1.369]

Parameterization:
x1: 0.3178315101335527
x2: 0.4292568971971303
x3: 0.21013634237946296
x4: 0.19963973096099927
x5: 0.3746411848001956
x6: 0.7722524125987166", "Arm 15_0

hartmann6: -1.701 [-1.897, -1.505]
l2norm: 0.988 [0.792, 1.184]

Parameterization:
x1: 0.3190153789561853
x2: 0.43867466403318506
x3: 0.2124903419531807
x4: 0.18007984870997212
x5: 0.31556587725390745
x6: 0.7925987255208493", "Arm 16_0

hartmann6: -1.805 [-2.001, -1.609]
l2norm: 1.058 [0.862, 1.254]

Parameterization:
x1: 0.2798829044885354
x2: 0.4169115845932041
x3: 0.25756934093656675
x4: 0.1327009153420822
x5: 0.30657043317597327
x6: 0.7739010706355706", "Arm 17_0

hartmann6: -1.763 [-1.959, -1.567]
l2norm: 0.93 [0.734, 1.126]

Parameterization:
x1: 0.2884514255434235
x2: 0.35119455886977763
x3: 0.2027831089175447
x4: 0.13034363683336198
x5: 0.24475033076910416
x6: 0.7829677442101478", "Arm 18_0

hartmann6: -1.148 [-1.344, -0.952]
l2norm: 1.084 [0.888, 1.280]

Parameterization:
x1: 0.2558758605103421
x2: 0.49011269928442275
x3: 0.20226935443552166
x4: 0.10300782563351803
x5: 0.2378418929261349
x6: 0.7779573560221795" ], "type": "scatter", "visible": false, "x": [ -0.25416625435767826, -0.21645624698914984, -0.09370448731300465, -0.03223104863662371, -0.3274910081409207, -0.29209464899787907, 0.0034316718404889188, -0.13731984806691805, -0.08667132077421891, 0.09915810335920922, 0.0010057237988668408, -0.01377046380934896, -0.9333916813874832, -1.3600828019146667, -1.5806768863524951, -1.7007726326447599, -1.8050659109480205, -1.762900121975586, -1.1478393815281225 ], "y": [ 1.0626908798616481, 1.3775963743395145, 1.5656358452003125, 1.8560328958652186, 1.2698391053167621, 1.2052253431691513, 1.5206472348679563, 1.3603959107830415, 1.3466193620308602, 1.2265032335853356, 1.7077211000143804, 1.3577610512046132, 1.2131849689656482, 1.0814468904173822, 1.173072616832075, 0.9882413727903463, 1.0579201115697117, 0.930238926930772, 1.0842434042285563 ] }, { "error_x": { "array": [ 0.19179967014044497, 0.19151010104306354, 0.1917970900906344, 0.19176602770266266, 0.19163620296465236, 0.1876772334727959, 0.1918030826299956, 0.19186200585255767, 0.19186077337166058, 0.19181410767960588, 0.19172674536253625, 0.1918192262902107, 0.17433131086354742, 0.14908564332201335, 0.13598783726116667, 0.13570971982488686, 0.1524890572255749, 0.18082523935338848, 0.1813397553702179 ], "color": "rgba(128,177,211,0.4)", "type": "data" }, "error_y": { "array": [ 0.1726920232402704, 0.1668713131305701, 0.1732869206573661, 0.17187090424263998, 0.17032020575475543, 0.15426830841379763, 0.17263006935700095, 0.1740000075434994, 0.17296480846397225, 0.17232393859775522, 0.1715207018967074, 0.17338070453549292, 0.1265680183790262, 0.10347605952810267, 0.09264326555441153, 0.08776386941252227, 0.10109714061858523, 0.12188795959855335, 0.12746385735939864 ], "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: -0.256 [-0.448, -0.064]
l2norm: 1.115 [0.943, 1.288]

Parameterization:
x1: 0.4129689335823059
x2: 0.32851845026016235
x3: 0.7655025720596313
x4: 0.09035579860210419
x5: 0.0843968391418457
x6: 0.22996364533901215", "Arm 1_0

hartmann6: -0.214 [-0.405, -0.022]
l2norm: 1.376 [1.209, 1.543]

Parameterization:
x1: 0.40036139637231827
x2: 0.6942271813750267
x3: 0.26325766555964947
x4: 0.4560690512880683
x5: 0.6940662646666169
x6: 0.5514387544244528", "Arm 2_0

hartmann6: -0.099 [-0.291, 0.092]
l2norm: 1.53 [1.357, 1.704]

Parameterization:
x1: 0.5277824848890305
x2: 0.28163092117756605
x3: 0.4590043667703867
x4: 0.85833031963557
x5: 0.38264443445950747
x6: 0.8437578259035945", "Arm 3_0

hartmann6: -0.037 [-0.229, 0.155]
l2norm: 1.748 [1.576, 1.920]

Parameterization:
x1: 0.9649926330894232
x2: 0.6061234893277287
x3: 0.7247066171839833
x4: 0.6742253098636866
x5: 0.8508247071877122
x6: 0.7600819021463394", "Arm 4_0

hartmann6: -0.332 [-0.523, -0.140]
l2norm: 1.267 [1.097, 1.437]

Parameterization:
x1: 0.8557394677773118
x2: 0.5213865581899881
x3: 0.2022577477619052
x4: 0.11450722441077232
x5: 0.3923788731917739
x6: 0.8660368882119656", "Arm 5_0

hartmann6: -0.309 [-0.496, -0.121]
l2norm: 1.248 [1.094, 1.402]

Parameterization:
x1: 0.23947031050920486
x2: 0.44665265921503305
x3: 0.18117235507816076
x4: 0.4571777991950512
x5: 0.6019991338253021
x6: 0.8692843439057469", "Arm 6_0

hartmann6: -0.003 [-0.195, 0.189]
l2norm: 1.504 [1.331, 1.677]

Parameterization:
x1: 0.8526966096833348
x2: 0.8876042636111379
x3: 0.30329803191125393
x4: 0.7779104523360729
x5: 0.7081601601094007
x6: 0.20001412648707628", "Arm 7_0

hartmann6: -0.14 [-0.332, 0.052]
l2norm: 1.362 [1.188, 1.536]

Parameterization:
x1: 0.13798236288130283
x2: 0.1640914622694254
x3: 0.9949622806161642
x4: 0.18364096153527498
x5: 0.7586884684860706
x6: 0.33680226001888514", "Arm 8_0

hartmann6: -0.09 [-0.282, 0.101]
l2norm: 1.337 [1.164, 1.510]

Parameterization:
x1: 0.9985692538321018
x2: 0.0694844014942646
x3: 0.8686098586767912
x4: 0.020380834117531776
x5: 0.4198016822338104
x6: 0.19532301370054483", "Arm 9_0

hartmann6: 0.086 [-0.105, 0.278]
l2norm: 1.249 [1.077, 1.422]

Parameterization:
x1: 0.8738373992964625
x2: 0.5087014408782125
x3: 0.47513218130916357
x4: 0.0969937201589346
x5: 0.49200921319425106
x6: 0.07722921948879957", "Arm 10_0

hartmann6: -0.006 [-0.197, 0.186]
l2norm: 1.662 [1.490, 1.833]

Parameterization:
x1: 0.42513205017894506
x2: 0.45924831088632345
x3: 0.7994640646502376
x4: 0.6419692561030388
x5: 0.9858345314860344
x6: 0.5528434924781322", "Arm 11_0

hartmann6: -0.021 [-0.212, 0.171]
l2norm: 1.366 [1.193, 1.539]

Parameterization:
x1: 0.6622442910447717
x2: 0.6700205281376839
x3: 0.00023519620299339294
x4: 0.8094953829422593
x5: 0.21597233600914478
x6: 0.31156021635979414", "Arm 12_0

hartmann6: -0.938 [-1.112, -0.764]
l2norm: 1.176 [1.050, 1.303]

Parameterization:
x1: 0.3321767457857641
x2: 0.43227223046486285
x3: 0.14521128397044133
x4: 0.2893021380295424
x5: 0.5020495173581346
x6: 0.8671497263391589", "Arm 13_0

hartmann6: -1.352 [-1.501, -1.203]
l2norm: 1.123 [1.020, 1.227]

Parameterization:
x1: 0.3376520974836563
x2: 0.4426381051898372
x3: 0.21340699977583105
x4: 0.2587843698750837
x5: 0.4101479878376084
x6: 0.8088315703213175", "Arm 14_0

hartmann6: -1.598 [-1.734, -1.462]
l2norm: 1.086 [0.993, 1.178]

Parameterization:
x1: 0.3178315101335527
x2: 0.4292568971971303
x3: 0.21013634237946296
x4: 0.19963973096099927
x5: 0.3746411848001956
x6: 0.7722524125987166", "Arm 15_0

hartmann6: -1.653 [-1.789, -1.517]
l2norm: 1.062 [0.974, 1.150]

Parameterization:
x1: 0.3190153789561853
x2: 0.43867466403318506
x3: 0.2124903419531807
x4: 0.18007984870997212
x5: 0.31556587725390745
x6: 0.7925987255208493", "Arm 16_0

hartmann6: -1.742 [-1.894, -1.589]
l2norm: 1.049 [0.948, 1.150]

Parameterization:
x1: 0.2798829044885354
x2: 0.4169115845932041
x3: 0.25756934093656675
x4: 0.1327009153420822
x5: 0.30657043317597327
x6: 0.7739010706355706", "Arm 17_0

hartmann6: -1.737 [-1.918, -1.556]
l2norm: 1.027 [0.905, 1.149]

Parameterization:
x1: 0.2884514255434235
x2: 0.35119455886977763
x3: 0.2027831089175447
x4: 0.13034363683336198
x5: 0.24475033076910416
x6: 0.7829677442101478", "Arm 18_0

hartmann6: -1.202 [-1.383, -1.020]
l2norm: 1.063 [0.935, 1.190]

Parameterization:
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x2: 0.49011269928442275
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Parameterization:
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Parameterization:
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(plot_objective_vs_constraints(model, 'hartmann6', rel=False))" ] }, { "cell_type": "markdown", "metadata": { "originalKey": "f2d4fae3-2140-45d0-8142-49b91548ca59" }, "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, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-09-15T17:23:52.594449Z", "iopub.status.busy": "2022-09-15T17:23:52.594102Z", "iopub.status.idle": "2022-09-15T17:23:52.963214Z", "shell.execute_reply": "2022-09-15T17:23:52.962348Z" }, "executionStartTime": 1627397871181, "executionStopTime": 1627397871526, "originalKey": "f770f8a9-466c-4fd2-b268-3a0d166482f3", "requestMsgId": "d6242810-a316-4e2b-b9dd-dd4c56b725b7" }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "hoverinfo": "none", "line": { "color": "black", "dash": "dot", "width": 2 }, "mode": "lines", "showlegend": false, "type": "scatter", "visible": true, "x": [ -2.057967268180112, 0.7869614743689356 ], "y": [ -2.057967268180112, 0.7869614743689356 ] }, { "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": [ 0.9314477774952111, 0.8998869612738467, 0.9311524103370604, 0.92761734070828, 0.9132489714106025, 0.6509547395479199, 0.9318388570868938, 0.9386668840309879, 0.9385225888671025, 0.9331055859550169, 0.9232015080678506, 0.9336953754659889, 0.3814344646865316, 0.2296548209165081, 0.1888319215305199, 0.18808938024947008, 0.24271741114416337, 0.468688398317506, 0.4778726842587847 ], "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: -0.254 [-0.450, -0.058]
Predicted Outcome: -0.298 [-1.229, 0.633]

Parameterization:
x1: 0.4129689335823059
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Actual Outcome: -0.216 [-0.412, -0.020]
Predicted Outcome: -0.162 [-1.062, 0.738]

Parameterization:
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x3: 0.26325766555964947
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x6: 0.5514387544244528", "Arm 2_0

Actual Outcome: -0.094 [-0.290, 0.102]
Predicted Outcome: -0.227 [-1.158, 0.704]

Parameterization:
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Actual Outcome: -0.032 [-0.228, 0.164]
Predicted Outcome: -0.141 [-1.068, 0.787]

Parameterization:
x1: 0.9649926330894232
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x3: 0.7247066171839833
x4: 0.6742253098636866
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Actual Outcome: -0.327 [-0.523, -0.131]
Predicted Outcome: -0.421 [-1.334, 0.493]

Parameterization:
x1: 0.8557394677773118
x2: 0.5213865581899881
x3: 0.2022577477619052
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Actual Outcome: -0.292 [-0.488, -0.096]
Predicted Outcome: -0.491 [-1.142, 0.160]

Parameterization:
x1: 0.23947031050920486
x2: 0.44665265921503305
x3: 0.18117235507816076
x4: 0.4571777991950512
x5: 0.6019991338253021
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Actual Outcome: 0.003 [-0.193, 0.199]
Predicted Outcome: -0.153 [-1.085, 0.779]

Parameterization:
x1: 0.8526966096833348
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x3: 0.30329803191125393
x4: 0.7779104523360729
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Actual Outcome: -0.137 [-0.333, 0.059]
Predicted Outcome: -0.205 [-1.144, 0.734]

Parameterization:
x1: 0.13798236288130283
x2: 0.1640914622694254
x3: 0.9949622806161642
x4: 0.18364096153527498
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Actual Outcome: -0.087 [-0.283, 0.109]
Predicted Outcome: -0.175 [-1.114, 0.763]

Parameterization:
x1: 0.9985692538321018
x2: 0.0694844014942646
x3: 0.8686098586767912
x4: 0.020380834117531776
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Actual Outcome: 0.099 [-0.097, 0.295]
Predicted Outcome: -0.205 [-1.138, 0.728]

Parameterization:
x1: 0.8738373992964625
x2: 0.5087014408782125
x3: 0.47513218130916357
x4: 0.0969937201589346
x5: 0.49200921319425106
x6: 0.07722921948879957", "Arm 10_0

Actual Outcome: 0.001 [-0.195, 0.197]
Predicted Outcome: -0.153 [-1.076, 0.771]

Parameterization:
x1: 0.42513205017894506
x2: 0.45924831088632345
x3: 0.7994640646502376
x4: 0.6419692561030388
x5: 0.9858345314860344
x6: 0.5528434924781322", "Arm 11_0

Actual Outcome: -0.014 [-0.210, 0.182]
Predicted Outcome: -0.177 [-1.110, 0.757]

Parameterization:
x1: 0.6622442910447717
x2: 0.6700205281376839
x3: 0.00023519620299339294
x4: 0.8094953829422593
x5: 0.21597233600914478
x6: 0.31156021635979414", "Arm 12_0

Actual Outcome: -0.933 [-1.129, -0.737]
Predicted Outcome: -0.956 [-1.337, -0.574]

Parameterization:
x1: 0.3321767457857641
x2: 0.43227223046486285
x3: 0.14521128397044133
x4: 0.2893021380295424
x5: 0.5020495173581346
x6: 0.8671497263391589", "Arm 13_0

Actual Outcome: -1.36 [-1.556, -1.164]
Predicted Outcome: -1.34 [-1.570, -1.111]

Parameterization:
x1: 0.3376520974836563
x2: 0.4426381051898372
x3: 0.21340699977583105
x4: 0.2587843698750837
x5: 0.4101479878376084
x6: 0.8088315703213175", "Arm 14_0

Actual Outcome: -1.581 [-1.777, -1.385]
Predicted Outcome: -1.613 [-1.802, -1.425]

Parameterization:
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x2: 0.4292568971971303
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x5: 0.3746411848001956
x6: 0.7722524125987166", "Arm 15_0

Actual Outcome: -1.701 [-1.897, -1.505]
Predicted Outcome: -1.609 [-1.797, -1.421]

Parameterization:
x1: 0.3190153789561853
x2: 0.43867466403318506
x3: 0.2124903419531807
x4: 0.18007984870997212
x5: 0.31556587725390745
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Actual Outcome: -1.805 [-2.001, -1.609]
Predicted Outcome: -1.644 [-1.887, -1.401]

Parameterization:
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x3: 0.25756934093656675
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Actual Outcome: -1.763 [-1.959, -1.567]
Predicted Outcome: -1.589 [-2.058, -1.121]

Parameterization:
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x3: 0.2027831089175447
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x5: 0.24475033076910416
x6: 0.7829677442101478", "Arm 18_0

Actual Outcome: -1.148 [-1.344, -0.952]
Predicted Outcome: -1.522 [-1.999, -1.044]

Parameterization:
x1: 0.2558758605103421
x2: 0.49011269928442275
x3: 0.20226935443552166
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Actual Outcome: 1.063 [0.867, 1.259]
Predicted Outcome: 1.298 [0.933, 1.663]

Parameterization:
x1: 0.4129689335823059
x2: 0.32851845026016235
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Actual Outcome: 1.378 [1.182, 1.574]
Predicted Outcome: 1.373 [1.055, 1.691]

Parameterization:
x1: 0.40036139637231827
x2: 0.6942271813750267
x3: 0.26325766555964947
x4: 0.4560690512880683
x5: 0.6940662646666169
x6: 0.5514387544244528", "Arm 2_0

Actual Outcome: 1.566 [1.370, 1.762]
Predicted Outcome: 1.404 [1.034, 1.775]

Parameterization:
x1: 0.5277824848890305
x2: 0.28163092117756605
x3: 0.4590043667703867
x4: 0.85833031963557
x5: 0.38264443445950747
x6: 0.8437578259035945", "Arm 3_0

Actual Outcome: 1.856 [1.660, 2.052]
Predicted Outcome: 1.502 [1.144, 1.860]

Parameterization:
x1: 0.9649926330894232
x2: 0.6061234893277287
x3: 0.7247066171839833
x4: 0.6742253098636866
x5: 0.8508247071877122
x6: 0.7600819021463394", "Arm 4_0

Actual Outcome: 1.27 [1.074, 1.466]
Predicted Outcome: 1.258 [0.914, 1.603]

Parameterization:
x1: 0.8557394677773118
x2: 0.5213865581899881
x3: 0.2022577477619052
x4: 0.11450722441077232
x5: 0.3923788731917739
x6: 0.8660368882119656", "Arm 5_0

Actual Outcome: 1.205 [1.009, 1.401]
Predicted Outcome: 1.317 [1.067, 1.567]

Parameterization:
x1: 0.23947031050920486
x2: 0.44665265921503305
x3: 0.18117235507816076
x4: 0.4571777991950512
x5: 0.6019991338253021
x6: 0.8692843439057469", "Arm 6_0

Actual Outcome: 1.521 [1.325, 1.717]
Predicted Outcome: 1.446 [1.081, 1.811]

Parameterization:
x1: 0.8526966096833348
x2: 0.8876042636111379
x3: 0.30329803191125393
x4: 0.7779104523360729
x5: 0.7081601601094007
x6: 0.20001412648707628", "Arm 7_0

Actual Outcome: 1.36 [1.164, 1.556]
Predicted Outcome: 1.367 [0.989, 1.745]

Parameterization:
x1: 0.13798236288130283
x2: 0.1640914622694254
x3: 0.9949622806161642
x4: 0.18364096153527498
x5: 0.7586884684860706
x6: 0.33680226001888514", "Arm 8_0

Actual Outcome: 1.347 [1.151, 1.543]
Predicted Outcome: 1.304 [0.936, 1.671]

Parameterization:
x1: 0.9985692538321018
x2: 0.0694844014942646
x3: 0.8686098586767912
x4: 0.020380834117531776
x5: 0.4198016822338104
x6: 0.19532301370054483", "Arm 9_0

Actual Outcome: 1.227 [1.031, 1.423]
Predicted Outcome: 1.328 [0.966, 1.689]

Parameterization:
x1: 0.8738373992964625
x2: 0.5087014408782125
x3: 0.47513218130916357
x4: 0.0969937201589346
x5: 0.49200921319425106
x6: 0.07722921948879957", "Arm 10_0

Actual Outcome: 1.708 [1.512, 1.904]
Predicted Outcome: 1.511 [1.156, 1.865]

Parameterization:
x1: 0.42513205017894506
x2: 0.45924831088632345
x3: 0.7994640646502376
x4: 0.6419692561030388
x5: 0.9858345314860344
x6: 0.5528434924781322", "Arm 11_0

Actual Outcome: 1.358 [1.162, 1.554]
Predicted Outcome: 1.396 [1.024, 1.768]

Parameterization:
x1: 0.6622442910447717
x2: 0.6700205281376839
x3: 0.00023519620299339294
x4: 0.8094953829422593
x5: 0.21597233600914478
x6: 0.31156021635979414", "Arm 12_0

Actual Outcome: 1.213 [1.017, 1.409]
Predicted Outcome: 1.15 [0.984, 1.316]

Parameterization:
x1: 0.3321767457857641
x2: 0.43227223046486285
x3: 0.14521128397044133
x4: 0.2893021380295424
x5: 0.5020495173581346
x6: 0.8671497263391589", "Arm 13_0

Actual Outcome: 1.081 [0.885, 1.277]
Predicted Outcome: 1.139 [1.017, 1.261]

Parameterization:
x1: 0.3376520974836563
x2: 0.4426381051898372
x3: 0.21340699977583105
x4: 0.2587843698750837
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Actual Outcome: 1.173 [0.977, 1.369]
Predicted Outcome: 1.061 [0.956, 1.166]

Parameterization:
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x2: 0.4292568971971303
x3: 0.21013634237946296
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x5: 0.3746411848001956
x6: 0.7722524125987166", "Arm 15_0

Actual Outcome: 0.988 [0.792, 1.184]
Predicted Outcome: 1.08 [0.982, 1.179]

Parameterization:
x1: 0.3190153789561853
x2: 0.43867466403318506
x3: 0.2124903419531807
x4: 0.18007984870997212
x5: 0.31556587725390745
x6: 0.7925987255208493", "Arm 16_0

Actual Outcome: 1.058 [0.862, 1.254]
Predicted Outcome: 1.046 [0.928, 1.164]

Parameterization:
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x3: 0.25756934093656675
x4: 0.1327009153420822
x5: 0.30657043317597327
x6: 0.7739010706355706", "Arm 17_0

Actual Outcome: 0.93 [0.734, 1.126]
Predicted Outcome: 1.088 [0.932, 1.243]

Parameterization:
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x3: 0.2027831089175447
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x5: 0.24475033076910416
x6: 0.7829677442101478", "Arm 18_0

Actual Outcome: 1.084 [0.888, 1.280]
Predicted Outcome: 1.047 [0.880, 1.215]

Parameterization:
x1: 0.2558758605103421
x2: 0.49011269928442275
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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", "metadata": { "originalKey": "40f8ee99-fee8-4fd9-9cff-a7aa230dd5ae" }, "source": [ "## 5. Slice plots\n", "\n", "Slice plots show the metric outcome as a function of one parameter while fixing the others. 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