diff --git a/docs/tutorial_stochastic.ipynb b/docs/tutorial_stochastic.ipynb index 3581f7e..08941dc 100644 --- a/docs/tutorial_stochastic.ipynb +++ b/docs/tutorial_stochastic.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "cb2dfcb356ad626b", + "id": "f16d37158dfe659f", "metadata": {}, "source": [ "# Stochastic Optimization Tutorial\n", @@ -21,11 +21,13 @@ { "cell_type": "code", "execution_count": 1, - "id": "853186ccc64b311b", + "id": "5e4f54938b660af9", "metadata": { - "ExecuteTime": { - "end_time": "2026-09-29T08:27:28.878249Z", - "start_time": "2026-09-29T08:27:28.869708Z" + "execution": { + "iopub.execute_input": "2026-10-09T09:11:19.067972Z", + "iopub.status.busy": "2026-10-09T09:11:19.067972Z", + "iopub.status.idle": "2026-10-09T09:11:19.075611Z", + "shell.execute_reply": "2026-10-09T09:11:19.074593Z" } }, "outputs": [], @@ -36,7 +38,7 @@ }, { "cell_type": "markdown", - "id": "56d6dab3b1e5f7b", + "id": "3e33329afcac7c04", "metadata": {}, "source": [ "## The Stochastic Problem Class\n", @@ -57,11 +59,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "7c735da49e170b2b", + "id": "f43eb4c96af7a705", "metadata": { - "ExecuteTime": { - "end_time": "2026-09-29T08:27:31.217404Z", - "start_time": "2026-09-29T08:27:28.880609Z" + "execution": { + "iopub.execute_input": "2026-10-09T09:11:19.078609Z", + "iopub.status.busy": "2026-10-09T09:11:19.078609Z", + "iopub.status.idle": "2026-10-09T09:11:20.713598Z", + "shell.execute_reply": "2026-10-09T09:11:20.712581Z" } }, "outputs": [], @@ -106,11 +110,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "2db9a8d421e3f270", + "id": "bf58586df5520deb", "metadata": { - "ExecuteTime": { - "end_time": "2026-09-29T08:27:31.373026Z", - "start_time": "2026-09-29T08:27:31.367842Z" + "execution": { + "iopub.execute_input": "2026-10-09T09:11:20.715599Z", + "iopub.status.busy": "2026-10-09T09:11:20.714624Z", + "iopub.status.idle": "2026-10-09T09:11:20.719050Z", + "shell.execute_reply": "2026-10-09T09:11:20.719050Z" } }, "outputs": [ @@ -149,7 +155,7 @@ }, { "cell_type": "markdown", - "id": "d0ecd1d63f400dc5", + "id": "72a72cc86797425a", "metadata": {}, "source": [ "The resulting problem has the same design variables and objectives as the deterministic one, only the evaluation has changed. Note that one design point now costs 12 evaluations of the underlying problem to train the PCE surrogate. Then the cheap PCE model is evaluated with 1000 samples to construct the distribution. Note that the uncertainty propagation requires overall more model evaluation which makes Surrogate-Based Optimization (SBO) especially attractive for stochastic problems." @@ -157,7 +163,7 @@ }, { "cell_type": "markdown", - "id": "d58823d06acbc6ed", + "id": "cc2e2b4dc9e6702f", "metadata": {}, "source": [ "## Solving with NSGA2\n", @@ -168,19 +174,19 @@ { "cell_type": "code", "execution_count": 4, - "id": "762c1b2ad0127509", + "id": "d97f938efd78d06", "metadata": { - "ExecuteTime": { - "start_time": "2026-09-29T08:27:31.386161Z" - }, - "jupyter": { - "is_executing": true + "execution": { + "iopub.execute_input": "2026-10-09T09:11:20.722059Z", + "iopub.status.busy": "2026-10-09T09:11:20.721061Z", + "iopub.status.idle": "2026-10-09T09:11:48.420936Z", + "shell.execute_reply": "2026-10-09T09:11:48.420936Z" } }, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -196,7 +202,7 @@ "# Create the pre-configured NSGA2 algorithm\n", "nsga2 = get_nsga2(pop_size=100)\n", "\n", - "# Run the optimization: 20 generations (20 x 100 = 2000 design points, each with 50 realizations)\n", + "# Run the optimization: 20 generations (20 x 100 = 2000 design points, each with 12 realizations)\n", "# NOTE: remove \"seed\" argument when using in production!\n", "result_nsga2 = minimize(problem, nsga2, termination=('n_gen', 20), seed=42)\n", "\n", @@ -208,7 +214,7 @@ }, { "cell_type": "markdown", - "id": "a4f99e6120985213", + "id": "8177dff98f96172", "metadata": {}, "source": [ "The robust Pareto front lies above the deterministic one, which clearly shows that the perturbation in design vector has effect on the objectives. The deterministic front is therefore not achievable in practice, and optimizing towards it would select designs that are more sensitive to the perturbations." @@ -216,7 +222,7 @@ }, { "cell_type": "markdown", - "id": "efe12d81968cda69", + "id": "2b670f0c528cbad8", "metadata": {}, "source": [ "## Solving with SBO\n", @@ -227,34 +233,131 @@ { "cell_type": "code", "execution_count": 5, - "id": "68b1694f096c0818", - "metadata": {}, + "id": "3160589c14e2e04b", + "metadata": { + "execution": { + "iopub.execute_input": "2026-10-09T09:11:48.422948Z", + "iopub.status.busy": "2026-10-09T09:11:48.422948Z", + "iopub.status.idle": "2026-10-09T09:11:58.579267Z", + "shell.execute_reply": "2026-10-09T09:11:58.579267Z" + } + }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "INFO 2026-09-29 10:28:58,588 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (20 real unique, 20 eval)\n", - "INFO 2026-09-29 10:28:58,648 sb_arch_opt.sbo : Infill: 4 new (eval 20 real unique, 20 eval)\n", - "INFO 2026-09-29 10:28:59,315 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (24 real unique, 24 eval)\n", - "INFO 2026-09-29 10:28:59,410 sb_arch_opt.sbo : Infill: 4 new (eval 24 real unique, 24 eval)\n", - "INFO 2026-09-29 10:29:00,108 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (28 real unique, 28 eval)\n", - "INFO 2026-09-29 10:29:00,203 sb_arch_opt.sbo : Infill: 4 new (eval 28 real unique, 28 eval)\n", - "INFO 2026-09-29 10:29:00,979 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (32 real unique, 32 eval)\n", - "INFO 2026-09-29 10:29:01,059 sb_arch_opt.sbo : Infill: 4 new (eval 32 real unique, 32 eval)\n", - "INFO 2026-09-29 10:29:01,866 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (36 real unique, 36 eval)\n", - "INFO 2026-09-29 10:29:01,928 sb_arch_opt.sbo : Infill: 4 new (eval 36 real unique, 36 eval)\n", - "INFO 2026-09-29 10:29:02,693 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (40 real unique, 40 eval)\n", - "INFO 2026-09-29 10:29:02,766 sb_arch_opt.sbo : Infill: 4 new (eval 40 real unique, 40 eval)\n", - "INFO 2026-09-29 10:29:03,510 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (44 real unique, 44 eval)\n", - "INFO 2026-09-29 10:29:03,555 sb_arch_opt.sbo : Infill: 4 new (eval 44 real unique, 44 eval)\n", - "INFO 2026-09-29 10:29:04,356 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (48 real unique, 48 eval)\n", - "INFO 2026-09-29 10:29:04,644 sb_arch_opt.sbo : Infill: 4 new (eval 48 real unique, 48 eval)\n" + "INFO 2026-10-09 11:11:50,739 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (20 real unique, 20 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:50,833 sb_arch_opt.sbo : Infill: 4 new (eval 20 real unique, 20 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:51,751 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (24 real unique, 24 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:51,856 sb_arch_opt.sbo : Infill: 4 new (eval 24 real unique, 24 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:52,748 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (28 real unique, 28 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:52,908 sb_arch_opt.sbo : Infill: 4 new (eval 28 real unique, 28 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:53,819 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (32 real unique, 32 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:53,955 sb_arch_opt.sbo : Infill: 4 new (eval 32 real unique, 32 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:54,860 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (36 real unique, 36 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:55,124 sb_arch_opt.sbo : Infill: 4 new (eval 36 real unique, 36 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:56,009 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (40 real unique, 40 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:56,110 sb_arch_opt.sbo : Infill: 4 new (eval 40 real unique, 40 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:57,038 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (44 real unique, 44 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:57,171 sb_arch_opt.sbo : Infill: 4 new (eval 44 real unique, 44 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:58,063 sb_arch_opt.sbo : Surrogate infill gen 10 @ 1000 points evaluated (48 real unique, 48 eval)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO 2026-10-09 11:11:58,422 sb_arch_opt.sbo : Infill: 4 new (eval 48 real unique, 48 eval)\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -283,7 +386,7 @@ }, { "cell_type": "markdown", - "id": "d4f0ff16942cc3c4", + "id": "bb4a13bf9a660220", "metadata": {}, "source": [ "SBO reaches the same robust Pareto front as NSGA2 using 40 times fewer design points. Given that for each design points 12 evaluations are performed to propagate uncertainty, the computational budget savings are tremendous compared with NSGA-2 (overall 480 less evaluations)." @@ -291,11 +394,6 @@ } ], "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, "language_info": { "codemirror_mode": { "name": "ipython", @@ -306,7 +404,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.12" + "version": "3.12.14" } }, "nbformat": 4, diff --git a/sb_arch_opt/uncertainty.py b/sb_arch_opt/uncertainty.py index aaa18e0..273c893 100644 --- a/sb_arch_opt/uncertainty.py +++ b/sb_arch_opt/uncertainty.py @@ -142,9 +142,10 @@ class StochasticOutput: :param dist: the output distribution for the specific objective or constraint. """ - def __init__(self, dist: ot.Distribution, method_results=None): + def __init__(self, dist: ot.Distribution, samples: np.ndarray, method_results=None): check_dependency() self.dist = dist + self.samples = samples self.method_results = method_results @staticmethod @@ -168,10 +169,11 @@ def from_output_samples(cls, output_samples: ot.Sample, method_results=None) -> a float value is returned to represent deterministic output. If any sample is nan, np.nan is returned. """ + values = np.asarray(output_samples, dtype=float).ravel() dist = cls.build_distribution(output_samples) if isinstance(dist, float): return dist - return cls(dist=dist, method_results=method_results) + return cls(dist=dist, samples=values, method_results=method_results) @property def mean(self) -> float: @@ -259,14 +261,16 @@ class Quantile(Scalarization): """ - def __init__(self, q: float = 0.95): + def __init__(self, q: float = 0.95, direction: int =-1): super().__init__() if not 0. <= q <= 1.: raise ValueError(f'Quantile should be between 0 and 1: {q}') self.q = q + self.direction = direction def scalarize(self, output: StochasticOutput) -> float: - return float(output.quantile(self.q)) + q = self.q if self.direction == -1 else 1 - self.q + return float(output.quantile(q)) def __repr__(self): return f"Quantile with q = {self.q}"