{
"cells": [
{
"cell_type": "markdown",
"id": "50669d01",
"metadata": {
"customInput": null,
"originalKey": "06e172a0-2da3-4c90-93c2-be01bf4f6d45",
"papermill": {
"duration": 0.003797,
"end_time": "2024-07-23T21:41:13.515625",
"exception": false,
"start_time": "2024-07-23T21:41:13.511828",
"status": "completed"
},
"showInput": false,
"tags": []
},
"source": [
"This tutorial illustrates use of a Global Stopping Strategy (GSS) in combination with the Service API. For background on the Service API, see the Service API Tutorial: https://ax.dev/tutorials/gpei_hartmann_service.html GSS is also supported in the Scheduler API, where it can be provided as part of `SchedulerOptions`. For more on `Scheduler`, see the Scheduler tutorial: https://ax.dev/tutorials/scheduler.html\n",
"\n",
"Global Stopping stops an optimization loop when some data-based criteria are met which suggest that future trials will not be very helpful. For example, we might stop when there has been very little improvement in the last five trials. This is as opposed to trial-level early stopping, which monitors the results of expensive evaluations and terminates those that are unlikely to produce promising results, freeing resources to explore more promising configurations. For more on trial-level early stopping, see the tutorial: https://ax.dev/tutorials/early_stopping/early_stopping.html"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "e0270936",
"metadata": {
"customOutput": null,
"execution": {
"iopub.execute_input": "2024-07-23T21:41:13.523776Z",
"iopub.status.busy": "2024-07-23T21:41:13.523321Z",
"iopub.status.idle": "2024-07-23T21:41:17.048350Z",
"shell.execute_reply": "2024-07-23T21:41:17.047394Z"
},
"executionStartTime": 1683829335587,
"executionStopTime": 1683829339370,
"originalKey": "00a04d2c-d990-41c1-9eef-bbb05fba000d",
"papermill": {
"duration": 3.542651,
"end_time": "2024-07-23T21:41:17.061697",
"exception": false,
"start_time": "2024-07-23T21:41:13.519046",
"status": "completed"
},
"requestMsgId": "1c560539-1c7d-4c7a-ae55-e87c3b601859",
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 07-23 21:41:16] ax.utils.notebook.plotting: Injecting Plotly library into cell. Do not overwrite or delete cell.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 07-23 21:41:16] 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.service.ax_client import AxClient, ObjectiveProperties\n",
"from ax.utils.measurement.synthetic_functions import Branin, branin\n",
"from ax.utils.notebook.plotting import init_notebook_plotting, render\n",
"\n",
"init_notebook_plotting()"
]
},
{
"cell_type": "markdown",
"id": "18c42ce1",
"metadata": {
"customInput": null,
"originalKey": "8688d729-b402-4a4c-b796-94fdcf5e022c",
"papermill": {
"duration": 0.033283,
"end_time": "2024-07-23T21:41:17.128087",
"exception": false,
"start_time": "2024-07-23T21:41:17.094804",
"status": "completed"
},
"showInput": false,
"tags": []
},
"source": [
"# 1. What happens without global stopping? Optimization can run for too long.\n",
"This example uses the Branin test problem. We run 25 trials, which turns out to be far more than needed, because we get close to the optimum quite quickly."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c8c3023d",
"metadata": {
"customInput": null,
"customOutput": null,
"execution": {
"iopub.execute_input": "2024-07-23T21:41:17.196339Z",
"iopub.status.busy": "2024-07-23T21:41:17.195716Z",
"iopub.status.idle": "2024-07-23T21:41:17.199811Z",
"shell.execute_reply": "2024-07-23T21:41:17.199110Z"
},
"executionStartTime": 1683829339516,
"executionStopTime": 1683829339531,
"originalKey": "320a952b-9e78-43e1-a55b-76a355e90f83",
"papermill": {
"duration": 0.039885,
"end_time": "2024-07-23T21:41:17.201174",
"exception": false,
"start_time": "2024-07-23T21:41:17.161289",
"status": "completed"
},
"requestMsgId": "14e3a517-c7d0-4300-92d9-57ceb5afca34",
"showInput": true,
"tags": []
},
"outputs": [],
"source": [
"def evaluate(parameters):\n",
" x = np.array([parameters.get(f\"x{i+1}\") for i in range(2)])\n",
" return {\"branin\": (branin(x), 0.0)}"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "9f5ae268",
"metadata": {
"customInput": null,
"customOutput": null,
"execution": {
"iopub.execute_input": "2024-07-23T21:41:17.270231Z",
"iopub.status.busy": "2024-07-23T21:41:17.269521Z",
"iopub.status.idle": "2024-07-23T21:41:17.273539Z",
"shell.execute_reply": "2024-07-23T21:41:17.272976Z"
},
"executionStartTime": 1683829339659,
"executionStopTime": 1683829339668,
"originalKey": "5740fbc2-97d6-465b-b01c-61e6c34c0220",
"papermill": {
"duration": 0.039862,
"end_time": "2024-07-23T21:41:17.274799",
"exception": false,
"start_time": "2024-07-23T21:41:17.234937",
"status": "completed"
},
"requestMsgId": "ff819cc9-ff17-4763-a857-83662b01e955",
"showInput": true,
"tags": []
},
"outputs": [],
"source": [
"params = [\n",
" {\n",
" \"name\": f\"x{i + 1}\",\n",
" \"type\": \"range\",\n",
" \"bounds\": [*Branin._domain[i]],\n",
" \"value_type\": \"float\",\n",
" \"log_scale\": False,\n",
" }\n",
"\n",
" for i in range(2)\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "21f3702d",
"metadata": {
"customInput": null,
"customOutput": null,
"execution": {
"iopub.execute_input": "2024-07-23T21:41:17.343133Z",
"iopub.status.busy": "2024-07-23T21:41:17.342480Z",
"iopub.status.idle": "2024-07-23T21:41:17.353145Z",
"shell.execute_reply": "2024-07-23T21:41:17.352432Z"
},
"executionStartTime": 1683829339782,
"executionStopTime": 1683829339834,
"originalKey": "65667172-14df-437b-bdd0-5a59580e4054",
"papermill": {
"duration": 0.046446,
"end_time": "2024-07-23T21:41:17.354604",
"exception": false,
"start_time": "2024-07-23T21:41:17.308158",
"status": "completed"
},
"requestMsgId": "e0bc2847-17a5-43d7-bf49-ed97c90f1d50",
"showInput": true,
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"[WARNING 07-23 21:41:17] ax.service.ax_client: Random seed set to 0. Note that this setting only affects the Sobol quasi-random generator and BoTorch-powered Bayesian optimization models. For the latter models, setting random seed to the same number for two optimizations will make the generated trials similar, but not exactly the same, and over time the trials will diverge more.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 07-23 21:41:17] ax.service.utils.instantiation: Created search space: SearchSpace(parameters=[RangeParameter(name='x1', parameter_type=FLOAT, range=[-5.0, 10.0]), RangeParameter(name='x2', parameter_type=FLOAT, range=[0.0, 15.0])], parameter_constraints=[]).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 07-23 21:41:17] ax.core.experiment: The is_test flag has been set to True. This flag is meant purely for development and integration testing purposes. If you are running a live experiment, please set this flag to False\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 07-23 21:41:17] 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 07-23 21:41:17] ax.modelbridge.dispatch_utils: Calculating the number of remaining initialization trials based on num_initialization_trials=None max_initialization_trials=None num_tunable_parameters=2 num_trials=None use_batch_trials=False\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 07-23 21:41:17] ax.modelbridge.dispatch_utils: calculated num_initialization_trials=5\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 07-23 21:41:17] ax.modelbridge.dispatch_utils: num_completed_initialization_trials=0 num_remaining_initialization_trials=5\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"[INFO 07-23 21:41:17] 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 07-23 21:41:17] ax.modelbridge.dispatch_utils: Using Bayesian Optimization generation strategy: GenerationStrategy(name='Sobol+BoTorch', steps=[Sobol for 5 trials, BoTorch for subsequent trials]). Iterations after 5 will take longer to generate due to model-fitting.\n"
]
}
],
"source": [
"ax_client = AxClient(random_seed=0, verbose_logging=False)\n",
"\n",
"ax_client.create_experiment(\n",
" name=\"branin_test_experiment\",\n",
" parameters=params,\n",
" objectives={\"branin\": ObjectiveProperties(minimize=True)},\n",
" is_test=True,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "4d46ed80",
"metadata": {
"customInput": null,
"customOutput": null,
"execution": {
"iopub.execute_input": "2024-07-23T21:41:17.423842Z",
"iopub.status.busy": "2024-07-23T21:41:17.423350Z",
"iopub.status.idle": "2024-07-23T21:41:31.468116Z",
"shell.execute_reply": "2024-07-23T21:41:31.467423Z"
},
"executionStartTime": 1683829339928,
"executionStopTime": 1683829356006,
"originalKey": "1f208de3-5189-4847-a779-940795977845",
"papermill": {
"duration": 14.081083,
"end_time": "2024-07-23T21:41:31.469395",
"exception": false,
"start_time": "2024-07-23T21:41:17.388312",
"status": "completed"
},
"requestMsgId": "95f327f2-327f-4284-93ae-3053c9b6ec45",
"showInput": true,
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/tmp.DL1QmpHQMI/Ax-main/ax/modelbridge/cross_validation.py:462: UserWarning:\n",
"\n",
"Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n",
"\n",
"/tmp/tmp.DL1QmpHQMI/Ax-main/ax/modelbridge/cross_validation.py:462: UserWarning:\n",
"\n",
"Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n",
"\n",
"/tmp/tmp.DL1QmpHQMI/Ax-main/ax/modelbridge/cross_validation.py:462: UserWarning:\n",
"\n",
"Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n",
"\n",
"/tmp/tmp.DL1QmpHQMI/Ax-main/ax/modelbridge/cross_validation.py:462: UserWarning:\n",
"\n",
"Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n",
"\n",
"/tmp/tmp.DL1QmpHQMI/Ax-main/ax/modelbridge/cross_validation.py:462: UserWarning:\n",
"\n",
"Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n",
"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 27.7 s, sys: 23.9 ms, total: 27.7 s\n",
"Wall time: 14 s\n"
]
}
],
"source": [
"%%time\n",
"for i in range(25):\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=evaluate(parameters)\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "a928ab9a",
"metadata": {
"customInput": null,
"customOutput": null,
"execution": {
"iopub.execute_input": "2024-07-23T21:41:31.539196Z",
"iopub.status.busy": "2024-07-23T21:41:31.538684Z",
"iopub.status.idle": "2024-07-23T21:41:31.702793Z",
"shell.execute_reply": "2024-07-23T21:41:31.702077Z"
},
"executionStartTime": 1683829356136,
"executionStopTime": 1683829356616,
"originalKey": "a369aafa-8ee4-4c02-bea6-673271da81ab",
"papermill": {
"duration": 0.200912,
"end_time": "2024-07-23T21:41:31.704273",
"exception": false,
"start_time": "2024-07-23T21:41:31.503361",
"status": "completed"
},
"requestMsgId": "b601e1e9-fd2d-4faf-a369-04e5c4a9f8cb",
"showInput": true,
"tags": []
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"linkText": "Export to plot.ly",
"plotlyServerURL": "https://plot.ly",
"showLink": false
},
"data": [
{
"hoverinfo": "none",
"legendgroup": "",
"line": {
"width": 0
},
"mode": "lines",
"showlegend": false,
"type": "scatter",
"x": [
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25
],
"y": [
37.28956500488602,
3.545194409651578,
3.545194409651578,
3.545194409651578,
3.545194409651578,
3.545194409651578,
3.545194409651578,
2.8369856015050203,
0.592815244658798,
0.592815244658798,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.4007204960918944,
0.4007204960918944,
0.4007204960918944
]
},
{
"fill": "tonexty",
"fillcolor": "rgba(128,177,211,0.3)",
"legendgroup": "objective value",
"line": {
"color": "rgba(128,177,211,1)"
},
"mode": "lines",
"name": "objective value",
"text": [
"
Parameterization:
x1: 2.126607894897461
x2: 8.887859880924225",
"
Parameterization:
x1: 3.681450095027685
x2: 0.5568291060626507",
"
Parameterization:
x1: 9.260048242285848
x2: 12.935160705819726",
"
Parameterization:
x1: -3.1931319646537304
x2: 3.921633088029921",
"
Parameterization:
x1: -1.7758215544745326
x2: 14.612732883542776",
"
Parameterization:
x1: 6.232787563351421
x2: 0.0",
"
Parameterization:
x1: 3.8286564430426804
x2: 3.0543752100826023",
"
Parameterization:
x1: 2.513553621555186
x2: 2.0367404588675786",
"
Parameterization:
x1: 3.2750435547151806
x2: 1.8422413342366484",
"
Parameterization:
x1: 2.210215457338916
x2: 0.0",
"
Parameterization:
x1: 3.1413652634108775
x2: 2.3859898294790844",
"
Parameterization:
x1: -5.0
x2: 15.0",
"
Parameterization:
x1: 10.0
x2: 0.0",
"
Parameterization:
x1: 10.0
x2: 3.4433955376159866",
"
Parameterization:
x1: 8.954894812261832
x2: 2.9063447576309125",
"
Parameterization:
x1: 9.903141047600869
x2: 2.3115881331593995",
"
Parameterization:
x1: 7.75727318615893
x2: 4.635926361005063",
"
Parameterization:
x1: 9.476360770206597
x2: 2.8200901830893157",
"
Parameterization:
x1: 9.266271297437862
x2: 2.1272855648285818",
"
Parameterization:
x1: -5.0
x2: 10.642871421375727",
"
Parameterization:
x1: 2.631058202422955
x2: 3.6341132394396727",
"
Parameterization:
x1: 3.3110076706416436
x2: 2.211539075173219",
"
Parameterization:
x1: 3.1298585345953764
x2: 2.2375630547244576",
"
Parameterization:
x1: 9.392854221354717
x2: 2.4806891667597957",
"
Parameterization:
x1: 4.595881591687382
x2: 15.0"
],
"type": "scatter",
"x": [
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25
],
"y": [
37.28956500488602,
3.545194409651578,
3.545194409651578,
3.545194409651578,
3.545194409651578,
3.545194409651578,
3.545194409651578,
2.8369856015050203,
0.592815244658798,
0.592815244658798,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.4007204960918944,
0.4007204960918944,
0.4007204960918944
]
},
{
"fill": "tonexty",
"fillcolor": "rgba(128,177,211,0.3)",
"hoverinfo": "none",
"legendgroup": "",
"line": {
"width": 0
},
"mode": "lines",
"showlegend": false,
"type": "scatter",
"x": [
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25
],
"y": [
37.28956500488602,
3.545194409651578,
3.545194409651578,
3.545194409651578,
3.545194409651578,
3.545194409651578,
3.545194409651578,
2.8369856015050203,
0.592815244658798,
0.592815244658798,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.41016701401908406,
0.4007204960918944,
0.4007204960918944,
0.4007204960918944
]
}
],
"layout": {
"showlegend": true,
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0.0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1.0,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0.0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1.0,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0.0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1.0,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0.0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1.0,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0.0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1.0,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0.0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1.0,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0.0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1.0,
"#f0f921"
]
],
"sequentialminus": [
[
0.0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1.0,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Best objective found vs. # of iterations"
},
"xaxis": {
"title": {
"text": "Iteration"
}
},
"yaxis": {
"title": {
"text": "Branin"
}
}
}
},
"text/html": [
"