From d08a695fa84a6c990a2f32d9a98b8c73974b64d5 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Thu, 5 Jun 2025 11:38:08 -0500 Subject: [PATCH 01/42] Create contextual_ei.py --- xopt/generators/bayesian/contextual_ei.py | 69 +++++++++++++++++++++++ 1 file changed, 69 insertions(+) create mode 100644 xopt/generators/bayesian/contextual_ei.py diff --git a/xopt/generators/bayesian/contextual_ei.py b/xopt/generators/bayesian/contextual_ei.py new file mode 100644 index 000000000..df610100b --- /dev/null +++ b/xopt/generators/bayesian/contextual_ei.py @@ -0,0 +1,69 @@ +from xopt.generators.bayesian.expected_improvement import ExpectedImprovementGenerator +from botorch.acquisition import FixedFeatureAcquisitionFunction + + +class ContextualExpectedImprovementGenerator(ExpectedImprovementGenerator): + name = "contextual_expected_improvement" + + contextual_observerables: list[str] + + def get_acquisition(self, model): + """ + Returns a function that can be used to evaluate the acquisition function. + Overwrites the expected improvement `get_acquisition` method. + + Parameters: + ----------- + model : Model + The model used for Bayesian Optimization. + + Returns: + -------- + acq : AcquisitionFunction + The acquisition function. + """ + + if model is None: + raise ValueError("model cannot be None") + + # check to make sure that contextual observerables are in vocs + if not set(self.contextual_observerables).issubset(set(self.vocs.observable_names)): + raise ValueError( + "contextual observerables must be a subset of vocs observable names" + ) + + # get the base EI acquisition function with constraints + acq = self._get_acquisition(model) + + # get the last contextual observerable values + last_contextual_observable_values = ( + self.data[self.contextual_observerables].iloc[-1].values + ) + + # update fixed features with the last contextual observerable values + if self.fixed_features is None: + self.fixed_features = {} + + self.fixed_features.update( + { + name: value + for name, value in zip( + self.contextual_observerables, last_contextual_observable_values + ) + } + ) + + # apply fixed features + dim = len(self.model_input_names) + columns = [] + values = [] + for name, value in self.fixed_features.items(): + columns += [self.model_input_names.index(name)] + values += [value] + + acq = FixedFeatureAcquisitionFunction( + acq_function=acq, d=dim, columns=columns, values=values + ) + + acq = acq.to(**self.tkwargs) + return acq From 93ab5d38047a76b7a713cf34227cd41a737af032 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Thu, 11 Dec 2025 14:16:17 -0600 Subject: [PATCH 02/42] updates to fix bugs in contextual EI --- .../generators/bayesian/bayesian_generator.py | 64 ++++++++++--------- xopt/generators/bayesian/contextual_ei.py | 57 ++++++++++++----- .../generators/bayesian/test_contextual_bo.py | 58 +++++++++++++++++ 3 files changed, 134 insertions(+), 45 deletions(-) create mode 100644 xopt/tests/generators/bayesian/test_contextual_bo.py diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index 071c3a9c0..4884b834e 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -447,41 +447,13 @@ def train_model( if data.empty: raise ValueError("no data available to build model") - # get input bounds - variable_bounds = deepcopy(self.vocs.variables) - - # if turbo restrict points is true then set the bounds to the trust region - # bounds - if self.turbo_controller is not None: - if self.turbo_controller.restrict_model_data: - variable_bounds = dict( - zip( - self.vocs.variable_names, - self.turbo_controller.get_trust_region(self).numpy().T, - ) - ) - - # add fixed feature bounds if requested - if self.fixed_features is not None: - # get bounds for each fixed_feature (vocs bounds take precedent) - for key in self.fixed_features: - if key not in variable_bounds: - if key not in data: - raise KeyError( - "generator data needs to contain fixed feature " - f"column name `{key}`" - ) - f_data = data[key] - bounds = [f_data.min(), f_data.max()] - if bounds[1] - bounds[0] < 1e-8: - bounds[1] = bounds[0] + 1e-8 - variable_bounds[key] = bounds + variable_bounds = self.get_model_input_bounds(data) _model = self.gp_constructor.build_model( self.model_input_names, self.vocs.output_names, data, - {name: variable_bounds[name] for name in self.model_input_names}, + variable_bounds, **self.tkwargs, ) @@ -817,6 +789,38 @@ def model_input_names(self): if name not in variable_names: variable_names += [name] return variable_names + + def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: + """variable bounds corresponding to trained model""" + variable_bounds = deepcopy(self.vocs.variables) + + # if turbo restrict points is true then set the bounds to the trust region + # bounds + if self.turbo_controller is not None: + if self.turbo_controller.restrict_model_data: + variable_bounds = dict( + zip( + self.vocs.variable_names, + self.turbo_controller.get_trust_region(self).numpy().T, + ) + ) + + # add fixed feature bounds if requested + if self.fixed_features is not None: + # get bounds for each fixed_feature (vocs bounds take precedent) + for key in self.fixed_features: + if key not in variable_bounds: + if key not in data: + raise KeyError( + "generator data needs to contain fixed feature " + f"column name `{key}`" + ) + f_data = data[key] + bounds = [f_data.min(), f_data.max()] + if bounds[1] - bounds[0] < 1e-8: + bounds[1] = bounds[0] + 1e-8 + variable_bounds[key] = bounds + return variable_bounds @property def _candidate_names(self): diff --git a/xopt/generators/bayesian/contextual_ei.py b/xopt/generators/bayesian/contextual_ei.py index df610100b..1d829a80c 100644 --- a/xopt/generators/bayesian/contextual_ei.py +++ b/xopt/generators/bayesian/contextual_ei.py @@ -1,11 +1,34 @@ -from xopt.generators.bayesian.expected_improvement import ExpectedImprovementGenerator +from copy import deepcopy +from pandas import DataFrame +from xopt.generators.bayesian import UpperConfidenceBoundGenerator from botorch.acquisition import FixedFeatureAcquisitionFunction -class ContextualExpectedImprovementGenerator(ExpectedImprovementGenerator): +class ContextualExpectedImprovementGenerator(UpperConfidenceBoundGenerator): name = "contextual_expected_improvement" - contextual_observerables: list[str] + contextual_observables: list[str] + + @property + def model_input_names(self): + """ + Returns the names of the model inputs, which include both variables and contextual observables. + """ + input_names = super().model_input_names + return input_names + self.contextual_observables + + def get_model_input_bounds(self, data: DataFrame) -> dict[str, tuple[float, float]]: + """ + Returns the bounds for the model inputs, including contextual observables. + Context variable bounds are determined from the data provided. + """ + bounds = super().get_model_input_bounds(data) + for obs in self.contextual_observables: + bounds[obs] = ( + data[obs].min(), + data[obs].max() + 1e-6, + ) # small epsilon to avoid zero range + return bounds def get_acquisition(self, model): """ @@ -25,39 +48,43 @@ def get_acquisition(self, model): if model is None: raise ValueError("model cannot be None") - - # check to make sure that contextual observerables are in vocs - if not set(self.contextual_observerables).issubset(set(self.vocs.observable_names)): + + # check to make sure that contextual observables are in vocs + if not set(self.contextual_observables).issubset( + set(self.vocs.observable_names) + ): raise ValueError( - "contextual observerables must be a subset of vocs observable names" + "contextual observables must be a subset of vocs observable names" ) # get the base EI acquisition function with constraints acq = self._get_acquisition(model) - # get the last contextual observerable values + # get the last contextual observable values last_contextual_observable_values = ( - self.data[self.contextual_observerables].iloc[-1].values + self.data[self.contextual_observables].iloc[-1].values ) - # update fixed features with the last contextual observerable values + # update fixed features with the last contextual observable values if self.fixed_features is None: - self.fixed_features = {} + self.fixed_features: dict[str, float] = {} + + fixed_features = deepcopy(self.fixed_features) - self.fixed_features.update( + fixed_features.update( { name: value for name, value in zip( - self.contextual_observerables, last_contextual_observable_values + self.contextual_observables, last_contextual_observable_values ) } ) - # apply fixed features + # apply fixed features dim = len(self.model_input_names) columns = [] values = [] - for name, value in self.fixed_features.items(): + for name, value in fixed_features.items(): columns += [self.model_input_names.index(name)] values += [value] diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py new file mode 100644 index 000000000..d0551ce26 --- /dev/null +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -0,0 +1,58 @@ +import pandas as pd +from xopt.generators.bayesian.contextual_ei import ( + ContextualExpectedImprovementGenerator, +) +from xopt.evaluator import Evaluator +from xopt.vocs import VOCS +import pytest +import torch +import numpy as np + + +class TestContextualBO: + @pytest.fixture(autouse=True) + def setup(self): + self.vocs = VOCS( + variables={"x1": [0, 1]}, + objectives={"y": "MAXIMIZE"}, + observables=["x2"], + ) + + def f(inputs): + x1 = inputs["x1"] + x2 = torch.tensor(0.5) # fixed contextual variable + y = torch.sin(2 * 3.14 * x1) * torch.cos(2 * 3.14 * x2) + return {"y": y, "x2": x2} + + self.evaluator = Evaluator(function=f) + + def test_contextual_ei_generator(self): + generator = ContextualExpectedImprovementGenerator( + vocs=self.vocs, + contextual_observables=["x2"], + ) + + # Create initial data with varying x2 + x1 = np.linspace(0, 1, 5) + x2 = np.linspace(0, 1, 5) # varying contextual variable + y = np.sin(2 * 3.14 * x1) * np.cos(2 * 3.14 * x2) + initial_data = {"x1": x1, "x2": x2, "y": y} + + data = pd.DataFrame(initial_data) + generator.add_data(data) + + # check model input names + assert generator.model_input_names == ["x1", "x2"] + # check model input bounds + bounds = generator.get_model_input_bounds(data) + assert bounds["x1"] == (0, 1) + assert np.allclose(bounds["x2"], (0.0, 1.0 + 1e-6)) + + # check training the model + generator.train_model(generator.data) + + # check optimization bounds - should be 1D for x1 only + opt_bounds = generator._get_optimization_bounds() + assert torch.allclose(opt_bounds, torch.tensor([[0.0], [1.0]]).double()) + + generator.generate(1) From 110fac6bacdb52140276fe4f034b16cfd4fdf34d Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Mon, 1 Jun 2026 12:58:16 -0500 Subject: [PATCH 03/42] fixes to pass EI tests --- xopt/generators/bayesian/bayesian_generator.py | 3 ++- xopt/tests/generators/bayesian/test_contextual_bo.py | 4 ++-- 2 files changed, 4 insertions(+), 3 deletions(-) diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index cec9756e0..45a2c3315 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -2,6 +2,7 @@ import os import time import warnings +from copy import deepcopy from abc import ABC, abstractmethod from typing import Any, Dict, List, Optional, Union, cast @@ -868,7 +869,7 @@ def model_input_names(self): def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: """variable bounds corresponding to trained model""" - variable_bounds = deepcopy(self.vocs.variables) + variable_bounds = deepcopy({name: var.domain for name, var in self.vocs.variables.items()}) # if turbo restrict points is true then set the bounds to the trust region # bounds diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index d0551ce26..f10937c47 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -45,8 +45,8 @@ def test_contextual_ei_generator(self): assert generator.model_input_names == ["x1", "x2"] # check model input bounds bounds = generator.get_model_input_bounds(data) - assert bounds["x1"] == (0, 1) - assert np.allclose(bounds["x2"], (0.0, 1.0 + 1e-6)) + assert bounds["x1"] == [0, 1] + assert np.allclose(bounds["x2"], [0.0, 1.0 + 1e-6]) # check training the model generator.train_model(generator.data) From 1099c4c4d892d4bbee65ad34582e327a88a6cff5 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Mon, 1 Jun 2026 14:25:17 -0500 Subject: [PATCH 04/42] generalize implementation --- .../generators/bayesian/bayesian_generator.py | 86 ++++++++++++------- .../bayesian/expected_improvement.py | 14 +-- xopt/generators/bayesian/mobo.py | 2 +- .../generators/bayesian/test_contextual_bo.py | 22 +++-- xopt/vocs.py | 29 ++++++- 5 files changed, 99 insertions(+), 54 deletions(-) diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index 45a2c3315..735ded5db 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -65,7 +65,7 @@ from xopt.generators.bayesian.visualize import visualize_generator_model from xopt.numerical_optimizer import GridOptimizer, LBFGSOptimizer, NumericalOptimizer from xopt.pydantic import decode_torch_module -from xopt.vocs import convert_numpy_to_inputs, extract_data +from xopt.vocs import ContextualVariable, convert_numpy_to_inputs, extract_data logger = logging.getLogger() @@ -195,7 +195,6 @@ def validate_vocs(cls, v, info: ValidationInfo): raise VOCSError("this generator does not support constraints") # assertion that at least one objective exists is done in model_validator below - if v.n_objectives == 1: if not info.data["supports_single_objective"]: raise VOCSError( @@ -508,25 +507,9 @@ def train_model( ) ) - # add fixed feature bounds if requested - if self.fixed_features is not None: - # get bounds for each fixed_feature (vocs bounds take precedent) - for key in self.fixed_features: - if key not in variable_bounds: - if key not in data: - raise KeyError( - "generator data needs to contain fixed feature " - f"column name `{key}`" - ) - f_data = data[key] - bounds = [f_data.min(), f_data.max()] - if bounds[1] - bounds[0] < 1e-8: - bounds[1] = bounds[0] + 1e-8 - variable_bounds[key] = bounds - _model = self.gp_constructor.build_model( self.model_input_names, - self.vocs.output_names, + self.model_output_names, data, variable_bounds, **self.tkwargs, @@ -679,7 +662,7 @@ def get_acquisition(self, model: Module) -> AcquisitionFunction: # log transform the result to handle the constraints acq = LogAcquisitionFunction(acq) - acq = self._apply_fixed_features(acq) + acq = self._apply_fixed_features_and_contextual_variables(acq) acq = acq.to(**self.tkwargs) return acq @@ -698,8 +681,8 @@ def get_optimum(self): ) bounds = self._get_bounds() - if self.fixed_features is not None: - acq = self._apply_fixed_features(acq) + if self.fixed_features is not None or self.contextual_variables: + acq = self._apply_fixed_features_and_contextual_variables(acq) indices = [] for idx, name in enumerate(self.vocs.variable_names): @@ -824,17 +807,26 @@ def _get_constraint_callables(self): constraint_callables = None return constraint_callables - def _apply_fixed_features(self, acq): - """apply fixed features to the acquisition function if needed""" + def _apply_fixed_features_and_contextual_variables(self, acq): + """apply fixed features and contextual variables to the acquisition function if needed""" + # get input dim + dim = len(self.model_input_names) + columns = [] + values = [] + if self.fixed_features is not None: - # get input dim - dim = len(self.model_input_names) - columns = [] - values = [] for name, value in self.fixed_features.items(): columns.append(self.model_input_names.index(name)) values.append(value) + if self.contextual_variables is not None: + # get the last contextual variable values + for var in self.contextual_variables: + columns.append(self.model_input_names.index(var)) + values.append(self.data[var].iloc[-1]) + + # if we have fixed features or contextual variables then we need to apply the fixed feature acquisition function + if len(columns) > 0: # necessary because fixed feature acq must get tensor - it searches for dtype/device values = torch.tensor(values).to(**self.tkwargs) acq = FixedFeatureAcquisitionFunction( @@ -865,11 +857,27 @@ def model_input_names(self): for name, val in self.fixed_features.items(): if name not in variable_names: variable_names += [name] + return variable_names - + + @property + def contextual_variables(self): + return [ + name + for name, var in self.vocs.variables.items() + if isinstance(var, ContextualVariable) + ] + + @property + def model_output_names(self): + """output names corresponding to trained model""" + return self.vocs.output_names + def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: """variable bounds corresponding to trained model""" - variable_bounds = deepcopy({name: var.domain for name, var in self.vocs.variables.items()}) + variable_bounds = deepcopy( + {name: var.domain for name, var in self.vocs.variables.items()} + ) # if turbo restrict points is true then set the bounds to the trust region # bounds @@ -897,6 +905,15 @@ def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: if bounds[1] - bounds[0] < 1e-8: bounds[1] = bounds[0] + 1e-8 variable_bounds[key] = bounds + + # add contextual variable bounds if requested + if self.contextual_variables: + for var in self.contextual_variables: + variable_bounds[var] = ( + data[var].min(), + data[var].max() + 1e-6, + ) # small epsilon to avoid zero range + return variable_bounds @property @@ -963,6 +980,15 @@ def _get_optimization_bounds(self): # grab indexed bounds bounds = bounds[:, indices] + # if we have contextual variables we also need to remove the bounds associated with those variables + if self.contextual_variables: + indices = [] + for idx, name in enumerate(self.vocs.variable_names): + if name not in self.contextual_variables: + indices += [idx] + + bounds = bounds[:, indices] + bounds = bounds.to(**self.tkwargs) return bounds diff --git a/xopt/generators/bayesian/expected_improvement.py b/xopt/generators/bayesian/expected_improvement.py index 4c04bac6a..4a197e43e 100644 --- a/xopt/generators/bayesian/expected_improvement.py +++ b/xopt/generators/bayesian/expected_improvement.py @@ -4,7 +4,6 @@ ScalarizedPosteriorTransform, LogExpectedImprovement, qLogExpectedImprovement, - FixedFeatureAcquisitionFunction, ) from gest_api.vocs import MinimizeObjective @@ -62,18 +61,7 @@ def get_acquisition(self, model): acq = self._get_acquisition(model) # apply fixed features if specified in the generator - if self.fixed_features is not None: - # get input dim - dim = len(self.model_input_names) - columns = [] - values = [] - for name, value in self.fixed_features.items(): - columns += [self.model_input_names.index(name)] - values += [value] - - acq = FixedFeatureAcquisitionFunction( - acq_function=acq, d=dim, columns=columns, values=values - ) + acq = self._apply_fixed_features_and_contextual_variables(acq) acq = acq.to(**self.tkwargs) return acq diff --git a/xopt/generators/bayesian/mobo.py b/xopt/generators/bayesian/mobo.py index 4d8851bbc..d737a4f34 100644 --- a/xopt/generators/bayesian/mobo.py +++ b/xopt/generators/bayesian/mobo.py @@ -83,7 +83,7 @@ def get_acquisition(self, model: torch.nn.Module): acq = self._get_acquisition(model) # apply fixed features if specified in the generator - acq = self._apply_fixed_features(acq) + acq = self._apply_fixed_features_and_contextual_variables(acq) acq = acq.to(**self.tkwargs) return acq diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index f10937c47..d93e94e12 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -1,9 +1,12 @@ import pandas as pd -from xopt.generators.bayesian.contextual_ei import ( - ContextualExpectedImprovementGenerator, +from xopt.generators.bayesian import ( + ExpectedImprovementGenerator, ) from xopt.evaluator import Evaluator -from xopt.vocs import VOCS +from xopt.generators.bayesian.upper_confidence_bound import ( + UpperConfidenceBoundGenerator, +) +from xopt.vocs import VOCS, ContextualVariable import pytest import torch import numpy as np @@ -13,9 +16,8 @@ class TestContextualBO: @pytest.fixture(autouse=True) def setup(self): self.vocs = VOCS( - variables={"x1": [0, 1]}, + variables={"x1": [0, 1], "x2": ContextualVariable()}, objectives={"y": "MAXIMIZE"}, - observables=["x2"], ) def f(inputs): @@ -26,10 +28,12 @@ def f(inputs): self.evaluator = Evaluator(function=f) - def test_contextual_ei_generator(self): - generator = ContextualExpectedImprovementGenerator( + @pytest.mark.parametrize( + "generator_class", [ExpectedImprovementGenerator, UpperConfidenceBoundGenerator] + ) + def test_contextual_ei_generator(self, generator_class): + generator = generator_class( vocs=self.vocs, - contextual_observables=["x2"], ) # Create initial data with varying x2 @@ -43,6 +47,8 @@ def test_contextual_ei_generator(self): # check model input names assert generator.model_input_names == ["x1", "x2"] + # check model output names + assert generator.model_output_names == ["y"] # check model input bounds bounds = generator.get_model_input_bounds(data) assert bounds["x1"] == [0, 1] diff --git a/xopt/vocs.py b/xopt/vocs.py index f8dd132c4..db5b3f64e 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -17,6 +17,7 @@ from xopt.errors import FeasibilityError from gest_api.vocs import ( VOCS, + ContinuousVariable, GreaterThanConstraint, LessThanConstraint, BoundsConstraint, @@ -24,6 +25,16 @@ ) +class ContextualVariable(ContinuousVariable): + """ + A variable that is not optimized over, but rather is observed and can be conditioned on. + """ + + def __init__(self): + domain = [-np.inf, np.inf] + super().__init__(domain=domain) + + def random_inputs( vocs: VOCS, n: int = None, @@ -168,7 +179,14 @@ def convert_dataframe_to_inputs( A dataframe containing the extracted inputs. """ # make sure that the df keys only contain vocs variables - if not set(vocs.variable_names) == set(data.keys()): + non_contextual_variable_names = sorted( + [ + name + for name, var in vocs.variables.items() + if not isinstance(var, ContextualVariable) + ] + ) + if not set(non_contextual_variable_names) == set(data.keys()): raise ValueError("input dataframe column set must equal set of vocs variables") # only keep the variables @@ -206,7 +224,14 @@ def convert_numpy_to_inputs( pd.DataFrame A dataframe containing the converted inputs. """ - df = pd.DataFrame(inputs, columns=vocs.variable_names) + non_contextual_variable_names = sorted( + [ + name + for name, var in vocs.variables.items() + if not isinstance(var, ContextualVariable) + ] + ) + df = pd.DataFrame(inputs, columns=non_contextual_variable_names) return convert_dataframe_to_inputs(vocs, df, include_constants) From 3b522cbb6b63bfdc68adbcdcb16f016706c32001 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Mon, 1 Jun 2026 16:14:01 -0500 Subject: [PATCH 05/42] add fixes and update example --- .../contextual_bo.ipynb | 411 ++++++++++++++++++ mkdocs.yml | 1 + xopt/base.py | 32 +- xopt/generators/bayesian/contextual_ei.py | 96 ---- .../generators/bayesian/test_contextual_bo.py | 29 +- 5 files changed, 466 insertions(+), 103 deletions(-) create mode 100644 docs/examples/single_objective_bayes_opt/contextual_bo.ipynb delete mode 100644 xopt/generators/bayesian/contextual_ei.py diff --git a/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb b/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb new file mode 100644 index 000000000..fd17df29d --- /dev/null +++ b/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb @@ -0,0 +1,411 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "26334b35", + "metadata": {}, + "source": [ + "# Contextual Bayesian Optimization\n", + "This example compares standard Bayesian optimization against contextual Bayesian optimization on a drifting objective.\n", + "\n", + "The optimization variable is `x1`, while `context` is observed after each evaluation but cannot be controlled. In the contextual setup, define `context` as a `ContextualVariable` in `VOCS`. The Bayesian generator conditions on the latest observed context value when optimizing the acquisition function." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "d711b0e6", + "metadata": { + "execution": { + "iopub.execute_input": "2026-06-01T19:58:42.324890Z", + "iopub.status.busy": "2026-06-01T19:58:42.324706Z", + "iopub.status.idle": "2026-06-01T19:58:45.435049Z", + "shell.execute_reply": "2026-06-01T19:58:45.434387Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "<>:10: SyntaxWarning: invalid escape sequence '\\('\n", + "<>:10: SyntaxWarning: invalid escape sequence '\\('\n", + "/tmp/ipykernel_17047/364120398.py:10: SyntaxWarning: invalid escape sequence '\\('\n", + " warnings.filterwarnings(\"ignore\", message=\"Data \\(outcome observations\\) is not standardized.*\")\n" + ] + } + ], + "source": [ + "import os\n", + "import warnings\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from xopt import Evaluator\n", + "from xopt.vocs import VOCS, ContextualVariable\n", + "\n", + "warnings.filterwarnings(\"ignore\", message=\"Data \\(outcome observations\\) is not standardized.*\")\n", + "\n", + "SMOKE_TEST = os.environ.get(\"SMOKE_TEST\", \"\").lower() in [\"1\", \"true\", \"yes\"]\n", + "N_INITIAL = 3 if SMOKE_TEST else 8\n", + "N_STEPS = 8 if SMOKE_TEST else 100" + ] + }, + { + "cell_type": "markdown", + "id": "3f117ad0", + "metadata": {}, + "source": [ + "## Drifting Objective\n", + "We construct a simple non-stationary objective where the optimum moves over time. The evaluator reports both the objective value `y` and the observed context value `context` at each iteration." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "f1416bd3", + "metadata": { + "execution": { + "iopub.execute_input": "2026-06-01T19:58:45.437428Z", + "iopub.status.busy": "2026-06-01T19:58:45.437117Z", + "iopub.status.idle": "2026-06-01T19:58:45.441415Z", + "shell.execute_reply": "2026-06-01T19:58:45.440827Z" + } + }, + "outputs": [], + "source": [ + "class DriftingObjective:\n", + " def __init__(self, period: int = 20):\n", + " self.period = period\n", + " self.iteration = 0\n", + "\n", + " def __call__(self, inputs):\n", + " x = float(inputs[\"x1\"])\n", + " context = 0.5 * (1.0 + np.sin(2.0 * np.pi * self.iteration / self.period))\n", + "\n", + " # Peak value is 1.0 when x1 equals the current context.\n", + " y = -(x - context) ** 2\n", + "\n", + " self.iteration += 1\n", + " return {\n", + " \"y\": float(y),\n", + " \"context\": float(context),\n", + " \"tracking_error\": float(abs(x - context)),\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "f74d152b", + "metadata": { + "execution": { + "iopub.execute_input": "2026-06-01T19:58:45.442900Z", + "iopub.status.busy": "2026-06-01T19:58:45.442733Z", + "iopub.status.idle": "2026-06-01T19:58:45.447191Z", + "shell.execute_reply": "2026-06-01T19:58:45.446612Z" + } + }, + "outputs": [], + "source": [ + "from xopt.base import Xopt\n", + "from xopt.generators.bayesian.expected_improvement import ExpectedImprovementGenerator\n", + "from xopt.generators.bayesian.upper_confidence_bound import UpperConfidenceBoundGenerator\n", + "\n", + "\n", + "def run_optimization(use_context: bool):\n", + " objective = DriftingObjective(25)\n", + " evaluator = Evaluator(function=objective)\n", + "\n", + " if use_context:\n", + " vocs = VOCS(\n", + " variables={\"x1\": [0.0, 1.0], \"context\": ContextualVariable()},\n", + " objectives={\"y\": \"MAXIMIZE\"},\n", + " observables=[\"context\", \"tracking_error\"],\n", + " )\n", + " else:\n", + " vocs = VOCS(\n", + " variables={\"x1\": [0.0, 1.0]},\n", + " objectives={\"y\": \"MAXIMIZE\"},\n", + " observables=[\"context\", \"tracking_error\"],\n", + " )\n", + "\n", + " generator = UpperConfidenceBoundGenerator(vocs=vocs)\n", + " generator.gp_constructor.use_low_noise_prior = True\n", + "\n", + " X = Xopt(generator=generator, evaluator=evaluator)\n", + "\n", + " # Build initial data manually since contextual variables are observed, not sampled.\n", + " initial_inputs = pd.DataFrame({\"x1\": np.linspace(0.05, 0.95, N_INITIAL)})\n", + " X.evaluate_data(initial_inputs)\n", + "\n", + " for _ in range(N_STEPS):\n", + " X.step()\n", + "\n", + " data = X.data\n", + " data[\"iteration\"] = np.arange(len(data))\n", + "\n", + " return X.generator, data" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "149e9351", + "metadata": { + "execution": { + "iopub.execute_input": "2026-06-01T19:58:45.448624Z", + "iopub.status.busy": "2026-06-01T19:58:45.448461Z", + "iopub.status.idle": "2026-06-01T19:58:54.598399Z", + "shell.execute_reply": "2026-06-01T19:58:54.597607Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/rroussel/miniforge3/envs/xopt-dev/lib/python3.13/site-packages/torch/autograd/graph.py:882: UserWarning: CUDA initialization: The NVIDIA driver on your system is too old (found version 12060). Please update your GPU driver by downloading and installing a new version from the URL: http://www.nvidia.com/Download/index.aspx Alternatively, go to: https://pytorch.org to install a PyTorch version that has been compiled with your version of the CUDA driver. (Triggered internally at /pytorch/c10/cuda/CUDAFunctions.cpp:119.)\n", + " return Variable._execution_engine.run_backward( # Calls into the C++ engine to run the backward pass\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Standard BO evaluations: 108\n", + "Contextual BO evaluations: 108\n" + ] + } + ], + "source": [ + "np.random.seed(1)\n", + "\n", + "plain_generator, plain_data = run_optimization(use_context=False)\n", + "contextual_generator, contextual_data = run_optimization(use_context=True)\n", + "\n", + "print(f\"Standard BO evaluations: {len(plain_data)}\")\n", + "print(f\"Contextual BO evaluations: {len(contextual_data)}\")" + ] + }, + { + "cell_type": "markdown", + "id": "f6438da2", + "metadata": {}, + "source": [ + "## Compare Standard BO and Contextual BO\n", + "In the first panel, we compare selected `x1` values against the drifting context. In the second panel, we compare rolling objective values. In the third panel, we compare rolling tracking error (lower is better)." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "69ab860b", + "metadata": { + "execution": { + "iopub.execute_input": "2026-06-01T19:58:54.600257Z", + "iopub.status.busy": "2026-06-01T19:58:54.600011Z", + "iopub.status.idle": "2026-06-01T19:58:55.021526Z", + "shell.execute_reply": "2026-06-01T19:58:55.020720Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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mean_ymean_tracking_error
standard_bo-0.1558000.336646
contextual_bo-0.0195580.106156
\n", + "
" + ], + "text/plain": [ + " mean_y mean_tracking_error\n", + "standard_bo -0.155800 0.336646\n", + "contextual_bo -0.019558 0.106156" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "comparison = pd.DataFrame(\n", + " {\n", + " \"mean_y\": [plain_data[\"y\"].mean(), contextual_data[\"y\"].mean()],\n", + " \"mean_tracking_error\": [\n", + " plain_data[\"tracking_error\"].mean(),\n", + " contextual_data[\"tracking_error\"].mean(),\n", + " ],\n", + " },\n", + " index=[\"standard_bo\", \"contextual_bo\"],\n", + ")\n", + "\n", + "comparison" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "df537bc9", + "metadata": { + "execution": { + "iopub.execute_input": "2026-06-01T19:58:55.033064Z", + "iopub.status.busy": "2026-06-01T19:58:55.032880Z", + "iopub.status.idle": "2026-06-01T19:58:55.036313Z", + "shell.execute_reply": "2026-06-01T19:58:55.035675Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Contextual BO tracks the drifting optimum better in this run.\n" + ] + } + ], + "source": [ + "if comparison.loc[\"contextual_bo\", \"mean_tracking_error\"] < comparison.loc[\"standard_bo\", \"mean_tracking_error\"]:\n", + " print(\"Contextual BO tracks the drifting optimum better in this run.\")\n", + "else:\n", + " print(\"In this run, contextual BO did not improve tracking error. Try changing the period or number of steps.\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "xopt-dev", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/mkdocs.yml b/mkdocs.yml index ab8a96eca..02a9ba207 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -41,6 +41,7 @@ nav: - Noisy Bayesian optimization: examples/single_objective_bayes_opt/noisy_bo_tutorial.ipynb - Fast model evaluation: examples/single_objective_bayes_opt/fast_model_eval.ipynb - Hessian kernel: examples/single_objective_bayes_opt/hessian_kernel.ipynb + - Contextual Bayesian optimization: examples/single_objective_bayes_opt/contextual_bo.ipynb - Trust Region Bayesian Optimization: - Basic example: examples/trust_region_bo/turbo_basics.ipynb - Optimization: examples/trust_region_bo/turbo_optimize.ipynb diff --git a/xopt/base.py b/xopt/base.py index de30c3ab1..0e1bc03bb 100644 --- a/xopt/base.py +++ b/xopt/base.py @@ -23,7 +23,12 @@ from xopt.generators.sequential import SequentialGenerator from xopt.pydantic import XoptBaseModel from xopt.utils import explode_all_columns, get_generator_name -from xopt.vocs import validate_input_data, random_inputs, grid_inputs +from xopt.vocs import ( + ContextualVariable, + validate_input_data, + random_inputs, + grid_inputs, +) from gest_api.vocs import VOCS from xopt.stopping_conditions import ( MaxEvaluationsCondition, @@ -374,7 +379,8 @@ def evaluate(self, input_dict: dict) -> dict: for name, ele in self.vocs.constants.items(): inputs[name] = ele.value - validate_input_data(self.vocs, DataFrame(inputs, index=[0])) + validation_data = self._prepare_validation_data(DataFrame(inputs, index=[0])) + validate_input_data(self.vocs, validation_data) return self.evaluator.evaluate(input_dict) def evaluate_data( @@ -412,7 +418,8 @@ def evaluate_data( input_data = DataFrame(deepcopy(input_data), index=[0]) logger.debug(f"Evaluating {len(input_data)} inputs") - validate_input_data(self.vocs, input_data) + validation_data = self._prepare_validation_data(input_data) + validate_input_data(self.vocs, validation_data) # add constants to input data for name, const in self.vocs.constants.items(): @@ -439,6 +446,25 @@ def evaluate_data( return output_data + def _prepare_validation_data(self, input_data: pd.DataFrame) -> pd.DataFrame: + """ + Prepare candidate data for VOCS validation. + + Contextual variables are observed, not controlled, so generated candidates + are allowed to omit them. For bounds validation we add missing contextual + variable columns to a temporary copy. + """ + validation_data = input_data.copy() + + for name, var in self.vocs.variables.items(): + if ( + isinstance(var, ContextualVariable) + and name not in validation_data.columns + ): + validation_data[name] = np.nan + + return validation_data + def add_data(self, new_data: pd.DataFrame): """ Concatenate new data to the internal DataFrame and add it to the generator's diff --git a/xopt/generators/bayesian/contextual_ei.py b/xopt/generators/bayesian/contextual_ei.py deleted file mode 100644 index 1d829a80c..000000000 --- a/xopt/generators/bayesian/contextual_ei.py +++ /dev/null @@ -1,96 +0,0 @@ -from copy import deepcopy -from pandas import DataFrame -from xopt.generators.bayesian import UpperConfidenceBoundGenerator -from botorch.acquisition import FixedFeatureAcquisitionFunction - - -class ContextualExpectedImprovementGenerator(UpperConfidenceBoundGenerator): - name = "contextual_expected_improvement" - - contextual_observables: list[str] - - @property - def model_input_names(self): - """ - Returns the names of the model inputs, which include both variables and contextual observables. - """ - input_names = super().model_input_names - return input_names + self.contextual_observables - - def get_model_input_bounds(self, data: DataFrame) -> dict[str, tuple[float, float]]: - """ - Returns the bounds for the model inputs, including contextual observables. - Context variable bounds are determined from the data provided. - """ - bounds = super().get_model_input_bounds(data) - for obs in self.contextual_observables: - bounds[obs] = ( - data[obs].min(), - data[obs].max() + 1e-6, - ) # small epsilon to avoid zero range - return bounds - - def get_acquisition(self, model): - """ - Returns a function that can be used to evaluate the acquisition function. - Overwrites the expected improvement `get_acquisition` method. - - Parameters: - ----------- - model : Model - The model used for Bayesian Optimization. - - Returns: - -------- - acq : AcquisitionFunction - The acquisition function. - """ - - if model is None: - raise ValueError("model cannot be None") - - # check to make sure that contextual observables are in vocs - if not set(self.contextual_observables).issubset( - set(self.vocs.observable_names) - ): - raise ValueError( - "contextual observables must be a subset of vocs observable names" - ) - - # get the base EI acquisition function with constraints - acq = self._get_acquisition(model) - - # get the last contextual observable values - last_contextual_observable_values = ( - self.data[self.contextual_observables].iloc[-1].values - ) - - # update fixed features with the last contextual observable values - if self.fixed_features is None: - self.fixed_features: dict[str, float] = {} - - fixed_features = deepcopy(self.fixed_features) - - fixed_features.update( - { - name: value - for name, value in zip( - self.contextual_observables, last_contextual_observable_values - ) - } - ) - - # apply fixed features - dim = len(self.model_input_names) - columns = [] - values = [] - for name, value in fixed_features.items(): - columns += [self.model_input_names.index(name)] - values += [value] - - acq = FixedFeatureAcquisitionFunction( - acq_function=acq, d=dim, columns=columns, values=values - ) - - acq = acq.to(**self.tkwargs) - return acq diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index d93e94e12..8232fefb5 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -1,11 +1,10 @@ import pandas as pd +from xopt import Xopt from xopt.generators.bayesian import ( ExpectedImprovementGenerator, ) from xopt.evaluator import Evaluator -from xopt.generators.bayesian.upper_confidence_bound import ( - UpperConfidenceBoundGenerator, -) +from xopt.generators.bayesian.upper_confidence_bound import UpperConfidenceBoundGenerator from xopt.vocs import VOCS, ContextualVariable import pytest import torch @@ -21,7 +20,7 @@ def setup(self): ) def f(inputs): - x1 = inputs["x1"] + x1 = torch.tensor(inputs["x1"]) x2 = torch.tensor(0.5) # fixed contextual variable y = torch.sin(2 * 3.14 * x1) * torch.cos(2 * 3.14 * x2) return {"y": y, "x2": x2} @@ -62,3 +61,25 @@ def test_contextual_ei_generator(self, generator_class): assert torch.allclose(opt_bounds, torch.tensor([[0.0], [1.0]]).double()) generator.generate(1) + + @pytest.mark.parametrize( + "generator_class", + [ExpectedImprovementGenerator, UpperConfidenceBoundGenerator], + ) + def test_xopt_step_with_contextual_variable(self, generator_class): + generator = generator_class(vocs=self.vocs) + xopt = Xopt(generator=generator, evaluator=self.evaluator, vocs=self.vocs) + + # Seed initial data without providing the contextual variable as an input. + xopt.evaluate_data(pd.DataFrame({"x1": np.linspace(0, 1, 5)})) + + # Generated candidates should only include controllable variables. + candidates = xopt.generator.generate(1) + if isinstance(candidates, list): + assert all("x2" not in candidate for candidate in candidates) + else: + assert "x2" not in candidates.columns + + # Evaluation should succeed without requiring contextual inputs. + xopt.evaluate_data(candidates) + assert "x2" in xopt.data.columns From ed97f07a3a54b5c000d5e31454d1544afb63897e Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Mon, 1 Jun 2026 16:15:18 -0500 Subject: [PATCH 06/42] linting --- .../contextual_bo.ipynb | 142 ++++-------------- .../generators/bayesian/test_contextual_bo.py | 4 +- 2 files changed, 29 insertions(+), 117 deletions(-) diff --git a/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb b/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb index fd17df29d..07cb80098 100644 --- a/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb +++ b/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "d711b0e6", "metadata": { "execution": { @@ -23,18 +23,7 @@ "shell.execute_reply": "2026-06-01T19:58:45.434387Z" } }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "<>:10: SyntaxWarning: invalid escape sequence '\\('\n", - "<>:10: SyntaxWarning: invalid escape sequence '\\('\n", - "/tmp/ipykernel_17047/364120398.py:10: SyntaxWarning: invalid escape sequence '\\('\n", - " warnings.filterwarnings(\"ignore\", message=\"Data \\(outcome observations\\) is not standardized.*\")\n" - ] - } - ], + "outputs": [], "source": [ "import os\n", "import warnings\n", @@ -45,7 +34,9 @@ "from xopt import Evaluator\n", "from xopt.vocs import VOCS, ContextualVariable\n", "\n", - "warnings.filterwarnings(\"ignore\", message=\"Data \\(outcome observations\\) is not standardized.*\")\n", + "warnings.filterwarnings(\n", + " \"ignore\", message=\"Data \\(outcome observations\\) is not standardized.*\"\n", + ")\n", "\n", "SMOKE_TEST = os.environ.get(\"SMOKE_TEST\", \"\").lower() in [\"1\", \"true\", \"yes\"]\n", "N_INITIAL = 3 if SMOKE_TEST else 8\n", @@ -63,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "f1416bd3", "metadata": { "execution": { @@ -85,7 +76,7 @@ " context = 0.5 * (1.0 + np.sin(2.0 * np.pi * self.iteration / self.period))\n", "\n", " # Peak value is 1.0 when x1 equals the current context.\n", - " y = -(x - context) ** 2\n", + " y = -((x - context) ** 2)\n", "\n", " self.iteration += 1\n", " return {\n", @@ -97,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "f74d152b", "metadata": { "execution": { @@ -110,8 +101,9 @@ "outputs": [], "source": [ "from xopt.base import Xopt\n", - "from xopt.generators.bayesian.expected_improvement import ExpectedImprovementGenerator\n", - "from xopt.generators.bayesian.upper_confidence_bound import UpperConfidenceBoundGenerator\n", + "from xopt.generators.bayesian.upper_confidence_bound import (\n", + " UpperConfidenceBoundGenerator,\n", + ")\n", "\n", "\n", "def run_optimization(use_context: bool):\n", @@ -151,7 +143,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "149e9351", "metadata": { "execution": { @@ -161,24 +153,7 @@ "shell.execute_reply": "2026-06-01T19:58:54.597607Z" } }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/rroussel/miniforge3/envs/xopt-dev/lib/python3.13/site-packages/torch/autograd/graph.py:882: UserWarning: CUDA initialization: The NVIDIA driver on your system is too old (found version 12060). Please update your GPU driver by downloading and installing a new version from the URL: http://www.nvidia.com/Download/index.aspx Alternatively, go to: https://pytorch.org to install a PyTorch version that has been compiled with your version of the CUDA driver. (Triggered internally at /pytorch/c10/cuda/CUDAFunctions.cpp:119.)\n", - " return Variable._execution_engine.run_backward( # Calls into the C++ engine to run the backward pass\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Standard BO evaluations: 108\n", - "Contextual BO evaluations: 108\n" - ] - } - ], + "outputs": [], "source": [ "np.random.seed(1)\n", "\n", @@ -200,7 +175,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "69ab860b", "metadata": { "execution": { @@ -210,18 +185,7 @@ "shell.execute_reply": "2026-06-01T19:58:55.020720Z" } }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "window = 1 if not SMOKE_TEST else 3\n", "\n", @@ -281,7 +245,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "84bb2d01", "metadata": { "execution": { @@ -291,58 +255,7 @@ "shell.execute_reply": "2026-06-01T19:58:55.030886Z" } }, - "outputs": [ - { - "data": { - "text/html": [ - "
\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
mean_ymean_tracking_error
standard_bo-0.1558000.336646
contextual_bo-0.0195580.106156
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" - ], - "text/plain": [ - " mean_y mean_tracking_error\n", - "standard_bo -0.155800 0.336646\n", - "contextual_bo -0.019558 0.106156" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "comparison = pd.DataFrame(\n", " {\n", @@ -360,7 +273,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "df537bc9", "metadata": { "execution": { @@ -370,20 +283,17 @@ "shell.execute_reply": "2026-06-01T19:58:55.035675Z" } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Contextual BO tracks the drifting optimum better in this run.\n" - ] - } - ], + "outputs": [], "source": [ - "if comparison.loc[\"contextual_bo\", \"mean_tracking_error\"] < comparison.loc[\"standard_bo\", \"mean_tracking_error\"]:\n", + "if (\n", + " comparison.loc[\"contextual_bo\", \"mean_tracking_error\"]\n", + " < comparison.loc[\"standard_bo\", \"mean_tracking_error\"]\n", + "):\n", " print(\"Contextual BO tracks the drifting optimum better in this run.\")\n", "else:\n", - " print(\"In this run, contextual BO did not improve tracking error. Try changing the period or number of steps.\")" + " print(\n", + " \"In this run, contextual BO did not improve tracking error. Try changing the period or number of steps.\"\n", + " )" ] } ], diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index 8232fefb5..66e1c3d02 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -4,7 +4,9 @@ ExpectedImprovementGenerator, ) from xopt.evaluator import Evaluator -from xopt.generators.bayesian.upper_confidence_bound import UpperConfidenceBoundGenerator +from xopt.generators.bayesian.upper_confidence_bound import ( + UpperConfidenceBoundGenerator, +) from xopt.vocs import VOCS, ContextualVariable import pytest import torch From 787a1d60bda08fa9f4d43eef1466c1a0e074a9ef Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Mon, 1 Jun 2026 17:01:10 -0500 Subject: [PATCH 07/42] fix visualization when context variables are present --- .../contextual_bo.ipynb | 28 ++++++ .../generators/bayesian/bayesian_generator.py | 23 ++++- xopt/generators/bayesian/visualize.py | 89 ++++++++++++++++++- .../generators/bayesian/test_contextual_bo.py | 16 +++- .../generators/bayesian/test_visualize.py | 68 +++++++++++++- 5 files changed, 216 insertions(+), 8 deletions(-) diff --git a/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb b/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb index 07cb80098..8c1b0e818 100644 --- a/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb +++ b/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb @@ -295,6 +295,34 @@ " \"In this run, contextual BO did not improve tracking error. Try changing the period or number of steps.\"\n", " )" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e346ef02", + "metadata": {}, + "outputs": [], + "source": [ + "contextual_generator.visualize_model()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4c6a47d8", + "metadata": {}, + "outputs": [], + "source": [ + "plain_generator.visualize_model()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e6942e0d", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index 735ded5db..e41634bce 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -716,6 +716,7 @@ def visualize_model(self, **kwargs): - variable_names : List[str] The variables with respect to which the GP models are displayed (maximum of 2). Defaults to vocs.variable_names. + Contextual variables are allowed for GP model visualization axes. - idx : int Index of the last sample to use. This also selects the point of reference in higher dimensions unless an explicit reference_point is given. @@ -730,6 +731,8 @@ def visualize_model(self, **kwargs): Whether the feasibility region is shown. - show_acquisition : bool, optional Whether the acquisition function is computed and shown (only if acquisition function is not None). + If contextual variables are selected as plot axes, the acquisition subplot is replaced + with warning text because the acquisition is conditioned on contextual values. - n_grid : int, optional Number of grid points per dimension used to display the model predictions. - axes : Axes, optional @@ -909,10 +912,22 @@ def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: # add contextual variable bounds if requested if self.contextual_variables: for var in self.contextual_variables: - variable_bounds[var] = ( - data[var].min(), - data[var].max() + 1e-6, - ) # small epsilon to avoid zero range + if var not in data: + raise KeyError( + "generator data needs to contain contextual variable " + f"column name `{var}`" + ) + + lower = float(data[var].min()) + upper = float(data[var].max()) + if not np.isfinite(lower) or not np.isfinite(upper): + raise ValueError( + f"contextual variable `{var}` has non-finite bounds in data" + ) + + width = upper - lower + padding = max(0.05 * width, 1e-8) + variable_bounds[var] = [lower - padding, upper + padding] return variable_bounds diff --git a/xopt/generators/bayesian/visualize.py b/xopt/generators/bayesian/visualize.py index eae86254e..923d7de37 100644 --- a/xopt/generators/bayesian/visualize.py +++ b/xopt/generators/bayesian/visualize.py @@ -10,6 +10,7 @@ Union, ) import textwrap +import warnings import gpytorch import numpy as np @@ -24,7 +25,7 @@ from xopt.errors import FeasibilityError from xopt.generator import Generator -from xopt.vocs import VOCS, get_feasibility_data, select_best +from xopt.vocs import ContextualVariable, VOCS, get_feasibility_data, select_best from .objectives import feasibility from .utils import torch_compile_gp_model, torch_trace_gp_model @@ -38,6 +39,12 @@ def __getitem__(self, key) -> DType: return super().__getitem__(key) +ACQUISITION_CONTEXTUAL_WARNING = ( + "Acquisition plot unavailable: conditioned on contextual variables and defined over " + "controllable dimensions only." +) + + def visualize_generator_model( generator: Generator, interactive: bool = False, **kwargs ) -> Tuple[Figure, Union[Axes, np.ndarray]]: @@ -163,6 +170,8 @@ def visualize_model( Whether the feasibility region is shown. show_acquisition : bool, optional Whether the acquisition function is computed and shown (only if acquisition function is not None). + If a contextual variable is selected as a plot axis, acquisition evaluation is skipped and a + warning panel is rendered instead. n_grid : int, optional Number of grid points per dimension used to display the model predictions. axes : Axes, optional @@ -281,6 +290,7 @@ def visualize_model( reference_point=reference_point, variable_names=variable_names, vocs=vocs, + data=data, n_grid=n_grid, tkwargs=tkwargs, ) @@ -341,6 +351,7 @@ def visualize_model( show_samples=False, variable_names=variable_names, tkwargs=tkwargs, + emit_warning=True, interactive=interactive, ) ax_acq = ax[len(output_names), 1] @@ -359,6 +370,7 @@ def visualize_model( show_samples=False, variable_names=variable_names, tkwargs=tkwargs, + emit_warning=not hasattr(acquisition_function, "base_acquisition"), interactive=interactive, ) if show_feasibility: @@ -445,6 +457,8 @@ def plot_model_prediction( The axis to use for plotting. If None is given, a new one is generated. interactive : bool, optional Whether to enable picker functionality for samples in the subplots. + emit_warning : bool, optional + Whether to emit a Python warning when acquisition evaluation is skipped for contextual axes. Returns ------- @@ -459,6 +473,7 @@ def plot_model_prediction( input_mesh = _generate_input_mesh( vocs=vocs, variable_names=variable_names, + data=data, n_grid=n_grid, reference_point=reference_point, tkwargs=tkwargs, @@ -614,6 +629,7 @@ def plot_acquisition_function( n_grid: int = 100, axis: Optional[Axes] = None, exponentiate: bool = True, + emit_warning: bool = True, interactive: bool = False, ) -> Axes: """Displays the given acquisition function. @@ -654,12 +670,20 @@ def plot_acquisition_function( """ _, variable_names = _validate_names(vocs.output_names, variable_names, vocs) axis = _get_axis(axis, dim=len(variable_names)) + + contextual_axes = _get_contextual_axes(variable_names, vocs) + if contextual_axes: + if emit_warning: + warnings.warn(ACQUISITION_CONTEXTUAL_WARNING, RuntimeWarning, stacklevel=2) + return _plot_acquisition_warning(axis, contextual_axes) + reference_point = _get_reference_point(reference_point, vocs, data, idx) input_mesh = _generate_input_mesh( n_grid=n_grid, reference_point=reference_point, variable_names=variable_names, vocs=vocs, + data=data, tkwargs=tkwargs, ) @@ -811,6 +835,7 @@ def plot_feasibility( reference_point=reference_point, variable_names=variable_names, vocs=vocs, + data=data, tkwargs=tkwargs, ) feas = ( @@ -1046,6 +1071,7 @@ def _plot2d_prediction( def _generate_input_mesh( vocs: VOCS, variable_names: list[str], + data: DataFrame, reference_point: dict[str, Any], n_grid: int, tkwargs: dict[str, Any], @@ -1058,6 +1084,8 @@ def _generate_input_mesh( VOCS object for visualization. variable_names : List[str] Variable names with respect to which the GP model(s) shall be displayed. + data : DataFrame + Data used to infer finite contextual bounds for mesh generation. reference_point : dict Reference point determining the value of variables in vocs, but not in variable_names. n_grid : int @@ -1070,7 +1098,32 @@ def _generate_input_mesh( torch.Tensor The input mesh for visualization. """ - x_lim = torch.tensor([vocs.variables[k].domain for k in variable_names]) + bounds: list[list[float]] = [] + for name in variable_names: + variable = vocs.variables[name] + if isinstance(variable, ContextualVariable): + if name not in data: + raise KeyError( + f"Missing contextual variable `{name}` in data required for visualization." + ) + + lower = float(data[name].min()) + upper = float(data[name].max()) + if not np.isfinite(lower) or not np.isfinite(upper): + raise ValueError( + f"Contextual variable `{name}` has non-finite bounds in data." + ) + + width = upper - lower + padding = max(0.05 * width, 1e-8) + lower = lower - padding + upper = upper + padding + + bounds.append([lower, upper]) + else: + bounds.append([float(variable.domain[0]), float(variable.domain[1])]) + + x_lim = torch.tensor(bounds, dtype=torch.double) x_i = [torch.linspace(*x_lim[i], n_grid) for i in range(x_lim.shape[0])] x_mesh = torch.meshgrid(*x_i, indexing="ij") x_v = torch.hstack([ele.reshape(-1, 1) for ele in x_mesh]).double() @@ -1089,6 +1142,38 @@ def _generate_input_mesh( return x +def _get_contextual_axes(variable_names: list[str], vocs: VOCS) -> list[str]: + """Return contextual variable names present in selected visualization axes.""" + return [ + name + for name in variable_names + if isinstance(vocs.variables.get(name), ContextualVariable) + ] + + +def _plot_acquisition_warning(axis: Axes, contextual_axes: list[str]) -> Axes: + """Render an acquisition warning panel when contextual axes are selected.""" + contextual_label = ", ".join(contextual_axes) + message = ( + f"{ACQUISITION_CONTEXTUAL_WARNING}\n" + f"Selected contextual axis variable(s): {contextual_label}" + ) + + axis.clear() + axis.set_title("Acquisition Function") + axis.text( + 0.5, + 0.5, + message, + ha="center", + va="center", + transform=axis.transAxes, + wrap=True, + fontsize=10, + ) + return axis + + def _get_reference_point( reference_point: Optional[dict[str, Any]], vocs: VOCS, diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index 66e1c3d02..48dae899d 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -53,7 +53,7 @@ def test_contextual_ei_generator(self, generator_class): # check model input bounds bounds = generator.get_model_input_bounds(data) assert bounds["x1"] == [0, 1] - assert np.allclose(bounds["x2"], [0.0, 1.0 + 1e-6]) + assert np.allclose(bounds["x2"], [-0.05, 1.05]) # check training the model generator.train_model(generator.data) @@ -85,3 +85,17 @@ def test_xopt_step_with_contextual_variable(self, generator_class): # Evaluation should succeed without requiring contextual inputs. xopt.evaluate_data(candidates) assert "x2" in xopt.data.columns + + def test_visualize_model_with_contextual_axis_warns(self): + generator = UpperConfidenceBoundGenerator(vocs=self.vocs) + xopt = Xopt(generator=generator, evaluator=self.evaluator) + xopt.evaluate_data(pd.DataFrame({"x1": np.linspace(0, 1, 5)})) + xopt.generator.train_model() + + with pytest.warns(RuntimeWarning, match="Acquisition plot unavailable"): + xopt.generator.visualize_model( + output_names=["y"], + variable_names=["x1", "x2"], + show_acquisition=True, + n_grid=5, + ) diff --git a/xopt/tests/generators/bayesian/test_visualize.py b/xopt/tests/generators/bayesian/test_visualize.py index 5639954af..4db701075 100644 --- a/xopt/tests/generators/bayesian/test_visualize.py +++ b/xopt/tests/generators/bayesian/test_visualize.py @@ -12,7 +12,7 @@ UpperConfidenceBoundGenerator, ) from xopt.resources.test_functions.tnk import evaluate_TNK, tnk_vocs -from xopt.vocs import VOCS +from xopt.vocs import ContextualVariable, VOCS class DummyPosterior: @@ -198,6 +198,72 @@ def test_plot_acquisition_function_2d(vocs, data): assert ax is not None +def test_plot_acquisition_function_with_contextual_axis_warns(): + vocs = VOCS( + variables={"x": [0, 1], "context": ContextualVariable()}, + objectives={"z": "MAXIMIZE"}, + constraints={}, + observables=["z"], + ) + data = pd.DataFrame( + { + "x": np.linspace(0, 1, 5), + "context": np.linspace(0.2, 0.8, 5), + "z": np.linspace(0.0, 1.0, 5), + } + ) + + fig, axis = plt.subplots(1, 1) + with pytest.warns(RuntimeWarning, match="Acquisition plot unavailable"): + ax = visualize.plot_acquisition_function( + acquisition_function=DummyAcq(), + vocs=vocs, + data=data, + tkwargs={}, + variable_names=["x", "context"], + n_grid=5, + axis=axis, + ) + + assert any("Acquisition plot unavailable" in text.get_text() for text in ax.texts) + plt.close(fig) + + +def test_visualize_model_with_contextual_axis_shows_acquisition_warning(): + vocs = VOCS( + variables={"x": [0, 1], "context": ContextualVariable()}, + objectives={"z": "MAXIMIZE"}, + constraints={}, + observables=["z"], + ) + data = pd.DataFrame( + { + "x": np.linspace(0, 1, 8), + "context": np.linspace(0.1, 0.9, 8), + "z": np.sin(np.linspace(0, np.pi, 8)), + } + ) + + generator = UpperConfidenceBoundGenerator(vocs=vocs) + generator.add_data(data) + generator.train_model() + + with pytest.warns(RuntimeWarning, match="Acquisition plot unavailable"): + fig, ax = generator.visualize_model( + output_names=["z"], + variable_names=["x", "context"], + n_grid=5, + show_acquisition=True, + ) + + acquisition_axis = ax[1, 0] + assert any( + "Acquisition plot unavailable" in text.get_text() + for text in acquisition_axis.texts + ) + plt.close(fig) + + # @pytest.fixture(autouse=True) # def patch_get_sampler(): # with patch("xopt.generators.bayesian.visualize.get_sampler") as mock_get_sampler: From 0eb2281ef3222d120abe0e5617a513589f6d40fb Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Tue, 2 Jun 2026 12:58:10 -0500 Subject: [PATCH 08/42] Update visualize.py --- xopt/generators/bayesian/bax/visualize.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/xopt/generators/bayesian/bax/visualize.py b/xopt/generators/bayesian/bax/visualize.py index f7c557d15..c6b3b508b 100644 --- a/xopt/generators/bayesian/bax/visualize.py +++ b/xopt/generators/bayesian/bax/visualize.py @@ -82,7 +82,7 @@ def visualize_virtual_objective( f"which are not in generator.vocs.variable_names." ) tkwargs = generator.tkwargs - x = _generate_input_mesh(vocs, variable_names, reference_point, n_grid, tkwargs) + x = _generate_input_mesh(vocs, variable_names, data, reference_point, n_grid, tkwargs) # verify model exists if generator.model is None: From a674367f8eddccec5194b7b8396c19319ad549ab Mon Sep 17 00:00:00 2001 From: "copilot-swe-agent[bot]" <198982749+Copilot@users.noreply.github.com> Date: Tue, 2 Jun 2026 18:29:05 +0000 Subject: [PATCH 09/42] Fix convert_numpy_to_inputs variable ordering, fix get_optimum with contextual vars, add tests --- .../generators/bayesian/bayesian_generator.py | 3 +- .../generators/bayesian/test_contextual_bo.py | 33 ++++++++++++++ xopt/tests/test_vocs.py | 44 +++++++++++++++++++ xopt/vocs.py | 28 +++++------- 4 files changed, 91 insertions(+), 17 deletions(-) diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index e41634bce..6cee18bf7 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -684,9 +684,10 @@ def get_optimum(self): if self.fixed_features is not None or self.contextual_variables: acq = self._apply_fixed_features_and_contextual_variables(acq) + fixed = self.fixed_features or {} indices = [] for idx, name in enumerate(self.vocs.variable_names): - if name not in self.fixed_features: + if name not in fixed and name not in self.contextual_variables: indices += [idx] bounds = bounds[:, indices] diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index 48dae899d..a50be733a 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -86,6 +86,39 @@ def test_xopt_step_with_contextual_variable(self, generator_class): xopt.evaluate_data(candidates) assert "x2" in xopt.data.columns + def test_get_optimum_with_contextual_variable(self): + """Test that get_optimum works correctly when contextual variables are present.""" + generator = UpperConfidenceBoundGenerator(vocs=self.vocs) + + x1 = np.linspace(0, 1, 5) + x2 = np.linspace(0.2, 0.8, 5) + y = np.sin(2 * 3.14 * x1) * np.cos(2 * 3.14 * x2) + data = pd.DataFrame({"x1": x1, "x2": x2, "y": y}) + generator.add_data(data) + generator.train_model() + + optimum = generator.get_optimum() + # optimum should only contain x1 (the controllable variable) + assert "x1" in optimum.columns + assert optimum["x1"].iloc[0] >= 0.0 + assert optimum["x1"].iloc[0] <= 1.0 + + def test_contextual_variable_bounds_from_data(self): + """Test that model input bounds for contextual variables are derived from data.""" + generator = UpperConfidenceBoundGenerator(vocs=self.vocs) + x1 = np.linspace(0, 1, 5) + x2 = np.array([0.3, 0.4, 0.5, 0.6, 0.7]) + y = np.ones(5) + data = pd.DataFrame({"x1": x1, "x2": x2, "y": y}) + generator.add_data(data) + + bounds = generator.get_model_input_bounds(data) + # x2 bounds should be derived from data with 5% padding + width = 0.7 - 0.3 + padding = 0.05 * width + assert np.isclose(bounds["x2"][0], 0.3 - padding) + assert np.isclose(bounds["x2"][1], 0.7 + padding) + def test_visualize_model_with_contextual_axis_warns(self): generator = UpperConfidenceBoundGenerator(vocs=self.vocs) xopt = Xopt(generator=generator, evaluator=self.evaluator) diff --git a/xopt/tests/test_vocs.py b/xopt/tests/test_vocs.py index 0c9f08e28..053e7c776 100644 --- a/xopt/tests/test_vocs.py +++ b/xopt/tests/test_vocs.py @@ -517,3 +517,47 @@ def test_extract_data(self): data = extract_data(vocs, test_data) assert len(data[0]) == 4 assert data[2].empty + + def test_contextual_variable(self): + from xopt.vocs import ContextualVariable, convert_numpy_to_inputs + + # ContextualVariable should have infinite domain + cv = ContextualVariable() + assert cv.domain[0] == float("-inf") + assert cv.domain[1] == float("inf") + + # VOCS with a contextual variable + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable()}, + objectives={"y": "MAXIMIZE"}, + ) + assert vocs.variable_names == ["x1", "x2"] + + def test_convert_numpy_to_inputs_with_contextual_variable(self): + """Ensure convert_numpy_to_inputs preserves variable order and excludes contextual vars.""" + from xopt.vocs import ContextualVariable, convert_numpy_to_inputs + + # Variables in non-alphabetical order: 'z' before 'a' + vocs = VOCS( + variables={"z": [0, 10], "a": [0, 1]}, + objectives={"y": "MAXIMIZE"}, + ) + inputs = np.array([[5.0, 0.5]]) + result = convert_numpy_to_inputs(vocs, inputs, include_constants=False) + # Should preserve variable_names order: ['z', 'a'] + assert list(result.columns) == ["z", "a"] + assert result["z"].iloc[0] == 5.0 + assert result["a"].iloc[0] == 0.5 + + # With a contextual variable mixed in + vocs2 = VOCS( + variables={"z": [0, 10], "ctx": ContextualVariable(), "a": [0, 1]}, + objectives={"y": "MAXIMIZE"}, + ) + # optimizer output has 2 dims (z and a, excluding ctx) + inputs2 = np.array([[5.0, 0.5]]) + result2 = convert_numpy_to_inputs(vocs2, inputs2, include_constants=False) + # Should only have z and a (ctx excluded), in original order + assert list(result2.columns) == ["z", "a"] + assert result2["z"].iloc[0] == 5.0 + assert result2["a"].iloc[0] == 0.5 diff --git a/xopt/vocs.py b/xopt/vocs.py index db5b3f64e..697c15952 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -179,13 +179,11 @@ def convert_dataframe_to_inputs( A dataframe containing the extracted inputs. """ # make sure that the df keys only contain vocs variables - non_contextual_variable_names = sorted( - [ - name - for name, var in vocs.variables.items() - if not isinstance(var, ContextualVariable) - ] - ) + non_contextual_variable_names = [ + name + for name in vocs.variable_names + if not isinstance(vocs.variables[name], ContextualVariable) + ] if not set(non_contextual_variable_names) == set(data.keys()): raise ValueError("input dataframe column set must equal set of vocs variables") @@ -207,8 +205,8 @@ def convert_numpy_to_inputs( ) -> pd.DataFrame: """ Convert 2D numpy array to list of dicts (inputs) for evaluation. - Assumes that the columns of the array match correspond to - `sorted(vocs.variables.keys())` + Assumes that the columns of the array correspond to the non-contextual + variables in `vocs.variable_names` order (contextual variables excluded). Parameters ---------- @@ -224,13 +222,11 @@ def convert_numpy_to_inputs( pd.DataFrame A dataframe containing the converted inputs. """ - non_contextual_variable_names = sorted( - [ - name - for name, var in vocs.variables.items() - if not isinstance(var, ContextualVariable) - ] - ) + non_contextual_variable_names = [ + name + for name in vocs.variable_names + if not isinstance(vocs.variables[name], ContextualVariable) + ] df = pd.DataFrame(inputs, columns=non_contextual_variable_names) return convert_dataframe_to_inputs(vocs, df, include_constants) From edfa1238da0846b41401090af1e02a7f6ec070ac Mon Sep 17 00:00:00 2001 From: "copilot-swe-agent[bot]" <198982749+Copilot@users.noreply.github.com> Date: Tue, 2 Jun 2026 18:31:05 +0000 Subject: [PATCH 10/42] Fix 3.14 -> np.pi in test and improve convert_numpy_to_inputs docstring --- xopt/tests/generators/bayesian/test_contextual_bo.py | 2 +- xopt/vocs.py | 5 ++++- 2 files changed, 5 insertions(+), 2 deletions(-) diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index a50be733a..297dd6275 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -92,7 +92,7 @@ def test_get_optimum_with_contextual_variable(self): x1 = np.linspace(0, 1, 5) x2 = np.linspace(0.2, 0.8, 5) - y = np.sin(2 * 3.14 * x1) * np.cos(2 * 3.14 * x2) + y = np.sin(2 * np.pi * x1) * np.cos(2 * np.pi * x2) data = pd.DataFrame({"x1": x1, "x2": x2, "y": y}) generator.add_data(data) generator.train_model() diff --git a/xopt/vocs.py b/xopt/vocs.py index 697c15952..dea42a9b8 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -207,13 +207,16 @@ def convert_numpy_to_inputs( Convert 2D numpy array to list of dicts (inputs) for evaluation. Assumes that the columns of the array correspond to the non-contextual variables in `vocs.variable_names` order (contextual variables excluded). + The number of columns in `inputs` must equal the number of non-contextual + variables in the VOCS. Parameters ---------- vocs: VOCS The variable-objective-constraint space (VOCS) defining the problem. inputs : np.ndarray - The 2D numpy array to convert. + The 2D numpy array to convert. Must have shape (n, k) where k is the + number of non-contextual variables in vocs. include_constants : bool, optional Whether to include constants in the inputs. Defaults to True. From a3939e40970d518fbf95ec649ece255e311fded4 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Wed, 3 Jun 2026 14:02:07 -0500 Subject: [PATCH 11/42] linting --- xopt/generators/bayesian/bax/visualize.py | 4 +++- xopt/tests/test_vocs.py | 3 +-- 2 files changed, 4 insertions(+), 3 deletions(-) diff --git a/xopt/generators/bayesian/bax/visualize.py b/xopt/generators/bayesian/bax/visualize.py index c6b3b508b..7e78c8a4b 100644 --- a/xopt/generators/bayesian/bax/visualize.py +++ b/xopt/generators/bayesian/bax/visualize.py @@ -82,7 +82,9 @@ def visualize_virtual_objective( f"which are not in generator.vocs.variable_names." ) tkwargs = generator.tkwargs - x = _generate_input_mesh(vocs, variable_names, data, reference_point, n_grid, tkwargs) + x = _generate_input_mesh( + vocs, variable_names, data, reference_point, n_grid, tkwargs + ) # verify model exists if generator.model is None: diff --git a/xopt/tests/test_vocs.py b/xopt/tests/test_vocs.py index 053e7c776..7fd7ef104 100644 --- a/xopt/tests/test_vocs.py +++ b/xopt/tests/test_vocs.py @@ -7,6 +7,7 @@ from pydantic import ValidationError import yaml +from xopt.vocs import ContextualVariable from xopt.resources.testing import TEST_VOCS_BASE, TEST_VOCS_DATA from xopt.vocs import ( convert_dataframe_to_inputs, @@ -519,8 +520,6 @@ def test_extract_data(self): assert data[2].empty def test_contextual_variable(self): - from xopt.vocs import ContextualVariable, convert_numpy_to_inputs - # ContextualVariable should have infinite domain cv = ContextualVariable() assert cv.domain[0] == float("-inf") From a7ee1c73166b983c52d3dc6b96dbec31b084af33 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Wed, 3 Jun 2026 14:21:00 -0500 Subject: [PATCH 12/42] fix for botorch updates --- xopt/generators/bayesian/bayesian_generator.py | 2 +- xopt/generators/bayesian/objectives.py | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index 6cee18bf7..2e0af063d 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -16,7 +16,7 @@ MCAcquisitionObjective, ) from botorch.models.model import Model -from botorch.sampling import get_sampler +from botorch.sampling.get_sampler import get_sampler from gpytorch import Module from pydantic import ( Field, diff --git a/xopt/generators/bayesian/objectives.py b/xopt/generators/bayesian/objectives.py index 8ef6718af..86465aff6 100644 --- a/xopt/generators/bayesian/objectives.py +++ b/xopt/generators/bayesian/objectives.py @@ -7,7 +7,7 @@ MCAcquisitionObjective, ) from botorch.acquisition.multi_objective import WeightedMCMultiOutputObjective -from botorch.sampling import get_sampler +from botorch.sampling.get_sampler import get_sampler from torch import Tensor from functools import partial from gest_api.vocs import LessThanConstraint From 53175a7d6a58167c511832a69d93d20fc9444f4b Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Wed, 3 Jun 2026 14:48:20 -0500 Subject: [PATCH 13/42] more bugfixes for recent botorch updates --- xopt/generators/bayesian/models/standard.py | 35 +++++++++++++-- .../bayesian/test_model_constructor.py | 44 +++++-------------- 2 files changed, 43 insertions(+), 36 deletions(-) diff --git a/xopt/generators/bayesian/models/standard.py b/xopt/generators/bayesian/models/standard.py index 7eedea46e..da9c10383 100644 --- a/xopt/generators/bayesian/models/standard.py +++ b/xopt/generators/bayesian/models/standard.py @@ -444,10 +444,37 @@ def _train_model(self, model, mll): ) if "options" not in tr_kwargs["optimizer_kwargs"]: tr_kwargs["optimizer_kwargs"]["options"] = {} - tr_kwargs["optimizer_kwargs"]["options"]["maxiter"] = cfg_lbfgs.maxiter - tr_kwargs["optimizer_kwargs"]["options"]["gtol"] = cfg_lbfgs.gtol - tr_kwargs["optimizer_kwargs"]["options"]["ftol"] = cfg_lbfgs.ftol - optimizer = fit_gpytorch_mll_scipy + options = tr_kwargs["optimizer_kwargs"]["options"] + options["maxiter"] = cfg_lbfgs.maxiter + options["gtol"] = cfg_lbfgs.gtol + options["ftol"] = cfg_lbfgs.ftol + + batch_shape = getattr(model, "_aug_batch_shape", None) + if batch_shape is None: + batch_shape = getattr(model, "batch_shape", torch.Size()) + is_batched = len(batch_shape) > 0 + if is_batched: + # Batched scipy optimizer in newer botorch/scipy combinations can + # assert when both ftol and default factr are active. + options["factr"] = None + + # Shared (non-batched) parameters in batched models are incompatible + # with botorch's independent scipy batching path; use torch fitting. + has_unbatched_trainable_params = is_batched and any( + p.requires_grad + and ( + p.ndim < len(batch_shape) + or tuple(p.shape[: len(batch_shape)]) != tuple(batch_shape) + ) + for p in model.parameters() + ) + + if has_unbatched_trainable_params: + tr_kwargs["optimizer_kwargs"].pop("options", None) + tr_kwargs["optimizer_kwargs"]["step_limit"] = cfg_lbfgs.maxiter + optimizer = fit_gpytorch_mll_torch + else: + optimizer = fit_gpytorch_mll_scipy try: fit_gpytorch_mll(mll, optimizer=optimizer, **tr_kwargs) diff --git a/xopt/tests/generators/bayesian/test_model_constructor.py b/xopt/tests/generators/bayesian/test_model_constructor.py index a9bfd95ee..fd0cab9d6 100644 --- a/xopt/tests/generators/bayesian/test_model_constructor.py +++ b/xopt/tests/generators/bayesian/test_model_constructor.py @@ -966,36 +966,19 @@ def test_train_model_batch_compare(self): print([(p, p.shape) for p in model_single.parameters()]) mll = ExactMarginalLogLikelihood(model_single.likelihood, model_single) - - isingle = 0 single_losses = np.zeros(1) - - def cb_single(parameters, result): - nonlocal isingle - if verbose: - print(f"SINGLE{isingle} {result} ") - for k, v in parameters.items(): - print(f" {k}: {super(type(v), v).__repr__()}") - isingle += 1 - single_losses[0] = result.fval - - fit_gpytorch_mll(mll, optimizer_kwargs={"callback": cb_single}) + fit_gpytorch_mll(mll) + with torch.no_grad(): + output = model_single(model_single.train_inputs[0]) + single_losses[0] = float(-mll(output, model_single.train_targets).sum()) list_losses = np.zeros(len(model_list.models)) for i, ml in enumerate(model_list.models): - ilist = 0 - - def cb_list(parameters, result): - nonlocal ilist - if verbose: - print(f"LIST{ilist} {result} ") - for k, v in parameters.items(): - print(f" {k}: {super(type(v), v).__repr__()}") - ilist += 1 - list_losses[i] = result.fval - mll = ExactMarginalLogLikelihood(ml.likelihood, ml) - fit_gpytorch_mll(mll, optimizer_kwargs={"callback": cb_list}) + fit_gpytorch_mll(mll) + with torch.no_grad(): + output = ml(ml.train_inputs[0]) + list_losses[i] = float(-mll(output, ml.train_targets)) if verbose: print(f"Single losses: {single_losses}") @@ -1007,13 +990,10 @@ def cb_list(parameters, result): for i in range(test_vocs.n_outputs) ] batch_ls = model_single.covar_module.raw_lengthscale - with pytest.raises(AssertionError): - # Hyperparameters do not match after training (they are close-ish) - # This is because L-BFGS-B terminates at different places for individual - # models, but the loss is summed for single model so we run until shared - # stopping criterion - for i in range(test_vocs.n_outputs): - assert torch.allclose(list_ls[i], batch_ls[i, ...], rtol=0, atol=1e-3) + # Depending on botorch/scipy version, optimized hyperparameters may match + # exactly or differ slightly while reaching equivalent objective values. + for i in range(test_vocs.n_outputs): + assert torch.allclose(list_ls[i], batch_ls[i, ...], rtol=0, atol=5e-3) def test_train_model_batch_compare_adam(self): test_vocs = deepcopy(TEST_VOCS) From 506329832a3cce2459cef1ae5453c03540b24144 Mon Sep 17 00:00:00 2001 From: "copilot-swe-agent[bot]" <198982749+Copilot@users.noreply.github.com> Date: Wed, 3 Jun 2026 20:17:27 +0000 Subject: [PATCH 14/42] Initial plan From ff2697421de88e673e59fb4e6a95de4d7cd016b4 Mon Sep 17 00:00:00 2001 From: "copilot-swe-agent[bot]" <198982749+Copilot@users.noreply.github.com> Date: Wed, 3 Jun 2026 20:23:39 +0000 Subject: [PATCH 15/42] Fix contextual BO: candidate names, bounds indexing, and error message - _candidate_names: copy variable list to avoid mutation, exclude contextual variables - _get_optimization_bounds: compute keep-indices once from original list, slice bounds once - vocs.py: update error message to mention non-contextual variables --- .../generators/bayesian/bayesian_generator.py | 36 +++++++------------ xopt/vocs.py | 4 ++- 2 files changed, 15 insertions(+), 25 deletions(-) diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index 2e0af063d..ca8e5aa60 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -935,11 +935,9 @@ def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: @property def _candidate_names(self): """variable names corresponding to generated candidates""" - variable_names = self.vocs.variable_names - if self.fixed_features is not None: - for name in self.fixed_features: - if name in variable_names: - variable_names.remove(name) + variable_names = list(self.vocs.variable_names) + excluded = set(self.fixed_features or {}) | set(self.contextual_variables) + variable_names = [n for n in variable_names if n not in excluded] return variable_names def _get_bounds(self) -> torch.Tensor: @@ -984,25 +982,15 @@ def _get_optimization_bounds(self): turbo_bounds = self.turbo_controller.get_trust_region(self) bounds = rectilinear_domain_union(bounds, turbo_bounds) - # if fixed features key is in vocs then we need to remove the bounds - # associated with that key - if self.fixed_features is not None: - # grab variable name indices that are NOT in fixed features - indices = [] - for idx, name in enumerate(self.vocs.variable_names): - if name not in self.fixed_features: - indices += [idx] - - # grab indexed bounds - bounds = bounds[:, indices] - - # if we have contextual variables we also need to remove the bounds associated with those variables - if self.contextual_variables: - indices = [] - for idx, name in enumerate(self.vocs.variable_names): - if name not in self.contextual_variables: - indices += [idx] - + # if fixed features or contextual variables are present, remove their bounds + excluded = set(self.fixed_features or {}) | set(self.contextual_variables) + if excluded: + # compute keep-indices once from the original variable list + indices = [ + idx + for idx, name in enumerate(self.vocs.variable_names) + if name not in excluded + ] bounds = bounds[:, indices] bounds = bounds.to(**self.tkwargs) diff --git a/xopt/vocs.py b/xopt/vocs.py index dea42a9b8..843f40327 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -185,7 +185,9 @@ def convert_dataframe_to_inputs( if not isinstance(vocs.variables[name], ContextualVariable) ] if not set(non_contextual_variable_names) == set(data.keys()): - raise ValueError("input dataframe column set must equal set of vocs variables") + raise ValueError( + "input dataframe column set must equal set of non-contextual vocs variables" + ) # only keep the variables inner_copy = data.copy() From a244e7a26e88a4041a9f30f41e0603c91f832ca4 Mon Sep 17 00:00:00 2001 From: "copilot-swe-agent[bot]" <198982749+Copilot@users.noreply.github.com> Date: Wed, 3 Jun 2026 20:40:12 +0000 Subject: [PATCH 16/42] Add tests for contextual BO with fixed features - test_candidate_names_excludes_contextual_and_fixed: verifies _candidate_names excludes both contextual variables and fixed features, and does not mutate vocs - test_optimization_bounds_excludes_contextual_and_fixed: verifies _get_optimization_bounds correctly handles combined fixed_features + contextual_variables in a single pass - test_convert_dataframe_to_inputs_error_message_contextual: verifies the updated error 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+132,53 @@ def test_visualize_model_with_contextual_axis_warns(self): show_acquisition=True, n_grid=5, ) + + def test_candidate_names_excludes_contextual_and_fixed(self): + """_candidate_names must exclude both fixed features and contextual variables.""" + # VOCS: x1 (controllable), x2 (contextual), x3 (controllable) + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable(), "x3": [0, 1]}, + objectives={"y": "MAXIMIZE"}, + ) + generator = UpperConfidenceBoundGenerator(vocs=vocs) + + # Without fixed features: only contextual x2 excluded + assert generator._candidate_names == ["x1", "x3"] + + # With x3 fixed: both x2 (contextual) and x3 (fixed) excluded + generator.fixed_features = {"x3": 0.5} + assert generator._candidate_names == ["x1"] + + # Calling _candidate_names multiple times must not mutate vocs + _ = generator._candidate_names + assert generator.vocs.variable_names == ["x1", "x2", "x3"] + + def test_optimization_bounds_excludes_contextual_and_fixed(self): + """_get_optimization_bounds must correctly exclude both fixed features and + contextual variables in a single pass, avoiding double-slicing.""" + # VOCS: x1 [0,1], x2 contextual, x3 [0,2] + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable(), "x3": [0, 2]}, + objectives={"y": "MAXIMIZE"}, + ) + generator = UpperConfidenceBoundGenerator(vocs=vocs) + + # With x3 fixed: only x1 bounds should remain + generator.fixed_features = {"x3": 1.0} + bounds = generator._get_optimization_bounds() + assert bounds.shape == (2, 1) + assert torch.allclose(bounds, torch.tensor([[0.0], [1.0]]).double()) + + def test_convert_dataframe_to_inputs_error_message_contextual(self): + """The error message when input columns mismatch must mention non-contextual + variables so users are not confused by contextual variables being absent.""" + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable()}, + objectives={"y": "MAXIMIZE"}, + ) + # Providing x2 (contextual) instead of x1 should raise with an informative message + with pytest.raises( + ValueError, + match="non-contextual", + ): + convert_dataframe_to_inputs(vocs, pd.DataFrame({"x2": [0.5]})) From 3201e8bfd6bcd19e7dbd073f0f171ef11d6dcc55 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Wed, 3 Jun 2026 16:11:48 -0500 Subject: [PATCH 17/42] linting --- xopt/vocs.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/xopt/vocs.py b/xopt/vocs.py index 843f40327..090d56766 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -186,8 +186,8 @@ def convert_dataframe_to_inputs( ] if not set(non_contextual_variable_names) == set(data.keys()): raise ValueError( - "input dataframe column set must equal set of non-contextual vocs variables" - ) + "input dataframe column set must equal set of non-contextual vocs variables" + ) # only keep the variables inner_copy = data.copy() From 94b5bcc34a3bd62a2a799c3e110571f1791f9114 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Mon, 8 Jun 2026 09:26:21 -0500 Subject: [PATCH 18/42] change base class of ContextualVariable --- .../generators/bayesian/bayesian_generator.py | 20 ++++++++++++++++--- xopt/vocs.py | 16 +++++++++------ 2 files changed, 27 insertions(+), 9 deletions(-) diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index ca8e5aa60..de5356e6a 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -880,7 +880,11 @@ def model_output_names(self): def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: """variable bounds corresponding to trained model""" variable_bounds = deepcopy( - {name: var.domain for name, var in self.vocs.variables.items()} + { + name: var.domain + for name, var in self.vocs.variables.items() + if not isinstance(var, ContextualVariable) + } ) # if turbo restrict points is true then set the bounds to the trust region @@ -889,7 +893,11 @@ def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: if self.turbo_controller.restrict_model_data: variable_bounds = dict( zip( - self.vocs.variable_names, + [ + name + for name in self.vocs.variable_names + if name not in self.contextual_variables + ], self.turbo_controller.get_trust_region(self).numpy().T, ) ) @@ -946,7 +954,13 @@ def _get_bounds(self) -> torch.Tensor: Tensor stays on CPU """ - return torch.tensor(self.vocs.bounds, dtype=torch.double).T + bounds = [ + var.domain + for var in self.vocs.variables.values() + if not isinstance(var, ContextualVariable) + ] + + return torch.tensor(bounds, dtype=torch.double).T def _get_optimization_bounds(self): """ diff --git a/xopt/vocs.py b/xopt/vocs.py index 090d56766..7903f8dfa 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -17,7 +17,7 @@ from xopt.errors import FeasibilityError from gest_api.vocs import ( VOCS, - ContinuousVariable, + BaseVariable, GreaterThanConstraint, LessThanConstraint, BoundsConstraint, @@ -25,14 +25,12 @@ ) -class ContextualVariable(ContinuousVariable): +class ContextualVariable(BaseVariable): """ A variable that is not optimized over, but rather is observed and can be conditioned on. """ - def __init__(self): - domain = [-np.inf, np.inf] - super().__init__(domain=domain) + pass def random_inputs( @@ -581,7 +579,13 @@ def validate_input_data(vocs: VOCS, input_points: pd.DataFrame) -> None: ValueError: if input data does not satisfy requirements. """ variable_data = input_points.loc[:, vocs.variable_names].values - bounds = np.array(vocs.bounds).T + + bounds = [ + var.domain + for var in vocs.variables.values() + if not isinstance(var, ContextualVariable) + ] + bounds = np.array(bounds).T is_out_of_bounds_lower = variable_data < bounds[0, :] is_out_of_bounds_upper = variable_data > bounds[1, :] From 77916e7498a4d2255181f7ffc702a11207f7ff48 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Mon, 8 Jun 2026 09:40:53 -0500 Subject: [PATCH 19/42] remove unnecessary test --- xopt/tests/test_vocs.py | 13 ------------- 1 file changed, 13 deletions(-) diff --git a/xopt/tests/test_vocs.py b/xopt/tests/test_vocs.py index 7fd7ef104..451c770b8 100644 --- a/xopt/tests/test_vocs.py +++ b/xopt/tests/test_vocs.py @@ -519,19 +519,6 @@ def test_extract_data(self): assert len(data[0]) == 4 assert data[2].empty - def test_contextual_variable(self): - # ContextualVariable should have infinite domain - cv = ContextualVariable() - assert cv.domain[0] == float("-inf") - assert cv.domain[1] == float("inf") - - # VOCS with a contextual variable - vocs = VOCS( - variables={"x1": [0, 1], "x2": ContextualVariable()}, - objectives={"y": "MAXIMIZE"}, - ) - assert vocs.variable_names == ["x1", "x2"] - def test_convert_numpy_to_inputs_with_contextual_variable(self): """Ensure convert_numpy_to_inputs preserves variable order and excludes contextual vars.""" from xopt.vocs import ContextualVariable, convert_numpy_to_inputs From bebdc187d584b7fce056dcc51d46a0fab48bec84 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Mon, 8 Jun 2026 09:46:05 -0500 Subject: [PATCH 20/42] linting --- xopt/tests/test_vocs.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/xopt/tests/test_vocs.py b/xopt/tests/test_vocs.py index 451c770b8..fe08fb1b5 100644 --- a/xopt/tests/test_vocs.py +++ b/xopt/tests/test_vocs.py @@ -7,9 +7,10 @@ from pydantic import ValidationError import yaml -from xopt.vocs import ContextualVariable from xopt.resources.testing import TEST_VOCS_BASE, TEST_VOCS_DATA from xopt.vocs import ( + ContextualVariable, + convert_numpy_to_inputs, convert_dataframe_to_inputs, cumulative_optimum, denormalize_inputs, @@ -521,7 +522,6 @@ def test_extract_data(self): def test_convert_numpy_to_inputs_with_contextual_variable(self): """Ensure convert_numpy_to_inputs preserves variable order and excludes contextual vars.""" - 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variable_bounds = get_variable_bounds(self.vocs) + variable_bounds = self.get_model_input_bounds(data) # if turbo restrict points is true then set the bounds to the trust region # bounds @@ -926,14 +927,23 @@ def model_output_names(self): return self.vocs.output_names def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: - """variable bounds corresponding to trained model""" - variable_bounds = deepcopy( - { - name: var.domain - for name, var in self.vocs.variables.items() - if not isinstance(var, ContextualVariable) - } - ) + """ + This will create a dictionary of variable bounds for the model input variables. It starts with the + bounds from vocs, and then updates them based on the turbo trust region, fixed features, and + contextual variables if they are specified. + + Parameters + ---------- + data : pd.DataFrame + The data in the form of a pandas DataFrame. + + Returns + ------- + variable_bounds : Dict[str, List[float]] + A dictionary containing the variable bounds for the model input variables. + + """ + variable_bounds = deepcopy(get_variable_bounds(self.vocs)) # if turbo restrict points is true then set the bounds to the trust region # bounds @@ -954,6 +964,7 @@ def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: if self.fixed_features is not None: # get bounds for each fixed_feature (vocs bounds take precedent) for key in self.fixed_features: + # if the fixed feature is not in the variable bounds, then we need to add it based on the data if key not in variable_bounds: if key not in data: raise KeyError( diff --git a/xopt/generators/bayesian/visualize.py b/xopt/generators/bayesian/visualize.py index d13f9c500..51c5e7607 100644 --- a/xopt/generators/bayesian/visualize.py +++ b/xopt/generators/bayesian/visualize.py @@ -1212,12 +1212,12 @@ def _generate_input_mesh( mesh_axes.append(torch.linspace(lower, upper, n_grid, dtype=torch.float64)) elif isinstance(variable, DiscreteVariable): mesh_axes.append( - torch.tensor(_get_discrete_values(var), dtype=torch.float64) + torch.tensor(_get_discrete_values(variable), dtype=torch.float64) ) else: mesh_axes.append( torch.linspace( - var.domain[0], var.domain[1], n_grid, dtype=torch.float64 + variable.domain[0], variable.domain[1], n_grid, dtype=torch.float64 ) ) diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index 791cd6834..d63ab45ce 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -45,14 +45,14 @@ def test_contextual_ei_generator(self, generator_class): data = pd.DataFrame(initial_data) generator.add_data(data) - + # check model input names assert generator.model_input_names == ["x1", "x2"] # check model output names assert generator.model_output_names == ["y"] # check model input bounds bounds = generator.get_model_input_bounds(data) - assert bounds["x1"] == [0, 1] + assert bounds["x1"] == (0.0, 1.0) assert np.allclose(bounds["x2"], [-0.05, 1.05]) # check training the model diff --git a/xopt/tests/generators/bayesian/test_visualize.py b/xopt/tests/generators/bayesian/test_visualize.py index 07ea30bb7..050104f02 100644 --- a/xopt/tests/generators/bayesian/test_visualize.py +++ b/xopt/tests/generators/bayesian/test_visualize.py @@ -199,6 +199,7 @@ def test_generate_input_mesh_mixed_discrete_shape_and_reference(vocs_mixed_discr vocs=vocs_mixed_discrete, variable_names=["x", "y"], reference_point={"w": 0.2}, + data=None, n_grid=5, tkwargs={}, ) diff --git a/xopt/vocs.py b/xopt/vocs.py index 67bc838be..72d09185b 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -677,6 +677,8 @@ def validate_input_data(vocs: VOCS, input_points: pd.DataFrame) -> None: values[:, None], allowed[None, :], rtol=0.0, atol=1e-12 ).any(axis=1) bad_mask[:, idx] = ~is_allowed + elif isinstance(variable, ContextualVariable): + continue # don't validate contextual variables else: lb, ub = variable_bounds[name] bad_mask[:, idx] = np.logical_or(values < lb, values > ub) @@ -707,7 +709,7 @@ def extract_data(vocs: VOCS, data: pd.DataFrame, return_raw=False, return_valid= return_raw : bool, optional If True, return untransformed objective data return_valid : bool, optional - If True, only return data that satisfies all of the contraint + If True, only return data that satisfies all of the constraint conditions. Returns From 44d23f1e40a4121746d414bf7830c398c6deb4a1 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Wed, 10 Jun 2026 15:33:29 -0500 Subject: [PATCH 23/42] linting --- xopt/generators/bayesian/bayesian_generator.py | 5 ++--- xopt/generators/bayesian/visualize.py | 1 + xopt/tests/generators/bayesian/test_contextual_bo.py | 2 +- xopt/vocs.py | 4 ++-- 4 files changed, 6 insertions(+), 6 deletions(-) diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index 3698ece76..b9aeb37b2 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -518,7 +518,6 @@ def train_model( if data.empty: raise ValueError("no data available to build model") - # get input bounds variable_bounds = self.get_model_input_bounds(data) @@ -929,7 +928,7 @@ def model_output_names(self): def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: """ This will create a dictionary of variable bounds for the model input variables. It starts with the - bounds from vocs, and then updates them based on the turbo trust region, fixed features, and + bounds from vocs, and then updates them based on the turbo trust region, fixed features, and contextual variables if they are specified. Parameters @@ -941,7 +940,7 @@ def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: ------- variable_bounds : Dict[str, List[float]] A dictionary containing the variable bounds for the model input variables. - + """ variable_bounds = deepcopy(get_variable_bounds(self.vocs)) diff --git a/xopt/generators/bayesian/visualize.py b/xopt/generators/bayesian/visualize.py index 51c5e7607..3596c3513 100644 --- a/xopt/generators/bayesian/visualize.py +++ b/xopt/generators/bayesian/visualize.py @@ -45,6 +45,7 @@ def __getitem__(self, key) -> DType: "controllable dimensions only." ) + def _is_discrete_variable(variable: Any) -> bool: return isinstance(variable, DiscreteVariable) diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index d63ab45ce..09e7a61a3 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -45,7 +45,7 @@ def test_contextual_ei_generator(self, generator_class): data = pd.DataFrame(initial_data) generator.add_data(data) - + # check model input names assert generator.model_input_names == ["x1", "x2"] # check model output names diff --git a/xopt/vocs.py b/xopt/vocs.py index 72d09185b..4ca2251f3 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -43,7 +43,7 @@ def get_variable_bounds(vocs: VOCS) -> dict[str, tuple[float, float]]: values = sorted(float(v) for v in variable.values) bounds[name] = (values[0], values[-1]) elif isinstance(variable, ContextualVariable): - continue # don't add bounds for contextual variables + continue # don't add bounds for contextual variables else: bounds[name] = (float(variable.domain[0]), float(variable.domain[1])) return bounds @@ -678,7 +678,7 @@ def validate_input_data(vocs: VOCS, input_points: pd.DataFrame) -> None: ).any(axis=1) bad_mask[:, idx] = ~is_allowed elif isinstance(variable, ContextualVariable): - continue # don't validate contextual variables + continue # don't validate contextual variables else: lb, ub = variable_bounds[name] bad_mask[:, idx] = np.logical_or(values < lb, values > ub) From f8d0d1d8ffb3654d1974e6b116f06de4df548676 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Sun, 28 Jun 2026 21:46:32 -0500 Subject: [PATCH 24/42] updates to have contextual variable inherit from Continuous variable --- .../contextual_bo.ipynb | 9 +- xopt/generators/bayesian/base_model.py | 14 +- .../generators/bayesian/bayesian_generator.py | 68 ++-------- xopt/generators/bayesian/turbo.py | 13 +- xopt/generators/bayesian/visualize.py | 26 ++-- .../generators/bayesian/test_contextual_bo.py | 28 ++++ .../generators/bayesian/test_visualize.py | 28 ++++ xopt/tests/test_vocs.py | 42 ++++-- xopt/utils.py | 15 ++- xopt/vocs.py | 123 +++++++++++++++--- 10 files changed, 251 insertions(+), 115 deletions(-) diff --git a/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb b/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb index 8c1b0e818..0ca73adc3 100644 --- a/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb +++ b/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb @@ -8,7 +8,11 @@ "# Contextual Bayesian Optimization\n", "This example compares standard Bayesian optimization against contextual Bayesian optimization on a drifting objective.\n", "\n", - "The optimization variable is `x1`, while `context` is observed after each evaluation but cannot be controlled. In the contextual setup, define `context` as a `ContextualVariable` in `VOCS`. The Bayesian generator conditions on the latest observed context value when optimizing the acquisition function." + "The optimization variable is `x1`, while `context` is observed after each evaluation but cannot be controlled. In the contextual setup, define `context` as a `ContextualVariable` in `VOCS`.\n", + "\n", + "> `ContextualVariable()` defaults to an unbounded domain `(-inf, inf)`. When finite bounds are needed (for example, model input bounds or visualization meshes), Xopt infers them from current data. If you provide an explicit finite domain, that explicit domain takes precedence over inferred bounds.\n", + "\n", + "The Bayesian generator conditions on the latest observed context value when optimizing the acquisition function." ] }, { @@ -112,6 +116,9 @@ "\n", " if use_context:\n", " vocs = VOCS(\n", + " # Default ContextualVariable() uses unbounded domain and infers finite\n", + " # bounds from observed data when needed. To force fixed bounds, use:\n", + " # ContextualVariable(domain=[low, high]).\n", " variables={\"x1\": [0.0, 1.0], \"context\": ContextualVariable()},\n", " objectives={\"y\": \"MAXIMIZE\"},\n", " observables=[\"context\", \"tracking_error\"],\n", diff --git a/xopt/generators/bayesian/base_model.py b/xopt/generators/bayesian/base_model.py index b9527c9b6..a39414bd1 100644 --- a/xopt/generators/bayesian/base_model.py +++ b/xopt/generators/bayesian/base_model.py @@ -17,8 +17,7 @@ XoptHeteroskedasticSingleTaskGP, ) from xopt.pydantic import XoptBaseModel -from xopt.vocs import VOCS -from gest_api.vocs import DiscreteVariable +from xopt.vocs import VOCS, get_variable_bounds class ModelConstructor(XoptBaseModel, ABC): @@ -121,13 +120,10 @@ def build_model_from_vocs( The trained botorch model. """ - variable_bounds = {} - for name, variable in vocs.variables.items(): - if isinstance(variable, DiscreteVariable): - values = sorted(float(v) for v in variable.values) - variable_bounds[name] = [values[0], values[-1]] - else: - variable_bounds[name] = variable.domain + variable_bounds = { + name: list(bounds) + for name, bounds in get_variable_bounds(vocs, data=data).items() + } return self.build_model( vocs.variable_names, vocs.output_names, data, variable_bounds, dtype, device diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index b9aeb37b2..47615ca9e 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -720,14 +720,6 @@ def get_optimum(self): if self.fixed_features is not None or self.contextual_variables: acq = self._apply_fixed_features_and_contextual_variables(acq) - fixed = self.fixed_features or {} - indices = [] - for idx, name in enumerate(self.vocs.variable_names): - if name not in fixed and name not in self.contextual_variables: - indices += [idx] - - bounds = bounds[:, indices] - bounds = bounds.to(**self.tkwargs) acq = acq.to(**self.tkwargs) @@ -942,7 +934,7 @@ def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: A dictionary containing the variable bounds for the model input variables. """ - variable_bounds = deepcopy(get_variable_bounds(self.vocs)) + variable_bounds = deepcopy(get_variable_bounds(self.vocs, data=data)) # if turbo restrict points is true then set the bounds to the trust region # bounds @@ -976,26 +968,6 @@ def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: bounds[1] = bounds[0] + 1e-8 variable_bounds[key] = bounds - # add contextual variable bounds if requested - if self.contextual_variables: - for var in self.contextual_variables: - if var not in data: - raise KeyError( - "generator data needs to contain contextual variable " - f"column name `{var}`" - ) - - lower = float(data[var].min()) - upper = float(data[var].max()) - if not np.isfinite(lower) or not np.isfinite(upper): - raise ValueError( - f"contextual variable `{var}` has non-finite bounds in data" - ) - - width = upper - lower - padding = max(0.05 * width, 1e-8) - variable_bounds[var] = [lower - padding, upper + padding] - return variable_bounds @property @@ -1011,7 +983,10 @@ def _get_torch_bounds(self) -> torch.Tensor: Convert bounds from vocs `get_variable_bounds` to torch tensors of shape 2 x d. """ - bounds = get_variable_bounds_array(self.vocs) + bounds = get_variable_bounds_array( + self.vocs, + variable_names=self._candidate_names, + ) return torch.tensor(bounds, dtype=torch.double) def _get_active_discrete_variable_values(self) -> dict[int, list[float]]: @@ -1126,17 +1101,6 @@ def _get_optimization_bounds(self): turbo_bounds = self.turbo_controller.get_trust_region(self) bounds = rectilinear_domain_union(bounds, turbo_bounds) - # if fixed features or contextual variables are present, remove their bounds - excluded = set(self.fixed_features or {}) | set(self.contextual_variables) - if excluded: - # compute keep-indices once from the original variable list - indices = [ - idx - for idx, name in enumerate(self.vocs.variable_names) - if name not in excluded - ] - bounds = bounds[:, indices] - bounds = bounds.to(**self.tkwargs) return bounds @@ -1184,10 +1148,13 @@ def _get_max_travel_distances_region(self, bounds): "No data exists to specify max_travel_distances " "from, add data first to use during BO" ) - last_point = self.data[self.vocs.variable_names].iloc[-1].to_numpy() + last_point = self.data[self._candidate_names].iloc[-1].to_numpy() # bound lengths based on vocs for normalization - vocs_bounds = get_variable_bounds_array(self.vocs) + vocs_bounds = get_variable_bounds_array( + self.vocs, + variable_names=self._candidate_names, + ) lengths = vocs_bounds[1, :] - vocs_bounds[0, :] # get maximum travel distances @@ -1258,22 +1225,7 @@ def get_pareto_front_and_hypervolume( ) -> tuple[torch.Tensor | None, torch.Tensor | None, torch.Tensor | None, float]: """ Get the pareto front and hypervolume of the current data. - - Returns - ------- - pareto_front_variables : torch.Tensor - The pareto front variable data. - pareto_front_objectives : torch.Tensor - The pareto front objective data. - pareto_mask : torch.Tensor - A mask indicating which points are part of the pareto front. - hv : float - The hypervolume of the pareto front. """ - - # get scaled data - # note that the objective data is scaled by +/- 1 - # based on maximization / minimization variable_data, objective_data, weights = self._get_scaled_data(data=self.data) # if there are no valid points skip PF calculation and return None diff --git a/xopt/generators/bayesian/turbo.py b/xopt/generators/bayesian/turbo.py index e1b8823f8..e03d10123 100644 --- a/xopt/generators/bayesian/turbo.py +++ b/xopt/generators/bayesian/turbo.py @@ -24,6 +24,7 @@ from xopt.resources.testing import XOPT_VERIFY_TORCH_DEVICE from xopt.errors import FeasibilityError from xopt.vocs import ( + ContextualVariable, get_feasibility_data, get_variable_bounds_array, get_variable_data, @@ -218,7 +219,15 @@ def get_trust_region(self, generator: "BayesianGenerator") -> Tensor: """ model = generator.model - bounds = torch.tensor(get_variable_bounds_array(self.vocs), dtype=torch.double) + active_variable_names = [ + name + for name in self.vocs.variable_names + if not isinstance(self.vocs.variables[name], ContextualVariable) + ] + bounds = torch.tensor( + get_variable_bounds_array(self.vocs, variable_names=active_variable_names), + dtype=torch.double, + ) if self.center_x is not None: # get bounds width @@ -226,7 +235,7 @@ def get_trust_region(self, generator: "BayesianGenerator") -> Tensor: # Scale the TR to be proportional to the lengthscales of the objective model x_center = torch.tensor( - [self.center_x[ele] for ele in self.vocs.variable_names], + [self.center_x[ele] for ele in active_variable_names], ).unsqueeze(dim=0) # default weights are 1 (if there is no model or a model without diff --git a/xopt/generators/bayesian/visualize.py b/xopt/generators/bayesian/visualize.py index 3596c3513..c73be685d 100644 --- a/xopt/generators/bayesian/visualize.py +++ b/xopt/generators/bayesian/visualize.py @@ -26,7 +26,13 @@ from xopt.errors import FeasibilityError from xopt.generator import Generator -from xopt.vocs import ContextualVariable, VOCS, get_feasibility_data, select_best +from xopt.vocs import ( + ContextualVariable, + VOCS, + get_feasibility_data, + resolve_contextual_variable_bounds, + select_best, +) from .objectives import feasibility from .utils import torch_compile_gp_model, torch_trace_gp_model @@ -1193,22 +1199,8 @@ def _generate_input_mesh( for name in variable_names: variable = vocs.variables[name] if isinstance(variable, ContextualVariable): - if name not in data: - raise KeyError( - f"Missing contextual variable `{name}` in data required for visualization." - ) - - lower = float(data[name].min()) - upper = float(data[name].max()) - if not np.isfinite(lower) or not np.isfinite(upper): - raise ValueError( - f"Contextual variable `{name}` has non-finite bounds in data." - ) - - width = upper - lower - padding = max(0.05 * width, 1e-8) - lower = lower - padding - upper = upper + padding + series = data[name] if name in data else None + lower, upper = resolve_contextual_variable_bounds(variable, series, name) mesh_axes.append(torch.linspace(lower, upper, n_grid, dtype=torch.float64)) elif isinstance(variable, DiscreteVariable): diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index 09e7a61a3..360e8b03c 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -119,6 +119,34 @@ def test_contextual_variable_bounds_from_data(self): assert np.isclose(bounds["x2"][0], 0.3 - padding) assert np.isclose(bounds["x2"][1], 0.7 + padding) + def test_contextual_variable_explicit_domain_overrides_data(self): + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable(domain=[0.2, 0.4])}, + objectives={"y": "MAXIMIZE"}, + ) + generator = UpperConfidenceBoundGenerator(vocs=vocs) + + data = pd.DataFrame( + { + "x1": np.linspace(0, 1, 5), + "x2": np.array([0.3, 0.4, 0.5, 0.6, 0.7]), + "y": np.ones(5), + } + ) + bounds = generator.get_model_input_bounds(data) + assert np.allclose(bounds["x2"], [0.2, 0.4]) + + def test_contextual_variable_explicit_domain_does_not_require_data_column(self): + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable(domain=[-1.0, 1.0])}, + objectives={"y": "MAXIMIZE"}, + ) + generator = UpperConfidenceBoundGenerator(vocs=vocs) + + data = pd.DataFrame({"x1": np.linspace(0, 1, 5), "y": np.ones(5)}) + bounds = generator.get_model_input_bounds(data) + assert np.allclose(bounds["x2"], [-1.0, 1.0]) + def test_visualize_model_with_contextual_axis_warns(self): generator = UpperConfidenceBoundGenerator(vocs=self.vocs) xopt = Xopt(generator=generator, evaluator=self.evaluator) diff --git a/xopt/tests/generators/bayesian/test_visualize.py b/xopt/tests/generators/bayesian/test_visualize.py index 050104f02..9136ccb00 100644 --- a/xopt/tests/generators/bayesian/test_visualize.py +++ b/xopt/tests/generators/bayesian/test_visualize.py @@ -386,6 +386,34 @@ def test_visualize_model_with_contextual_axis_shows_acquisition_warning(): plt.close(fig) +def test_plot_model_prediction_contextual_axis_uses_explicit_domain_without_data_column(): + vocs = VOCS( + variables={"x": [0, 1], "context": ContextualVariable(domain=[2.0, 3.0])}, + objectives={"z": "MAXIMIZE"}, + constraints={}, + observables=["z"], + ) + data = pd.DataFrame( + { + "x": np.linspace(0, 1, 5), + "z": np.linspace(0.0, 1.0, 5), + } + ) + + ax = visualize.plot_model_prediction( + model=DummyModel(), + vocs=vocs, + output_name="z", + data=data, + tkwargs={}, + variable_names=["context"], + reference_point={"x": 0.5, "context": 2.5}, + n_grid=5, + show_samples=False, + ) + assert ax is not None + + # @pytest.fixture(autouse=True) # def patch_get_sampler(): # with patch("xopt.generators.bayesian.visualize.get_sampler") as mock_get_sampler: diff --git a/xopt/tests/test_vocs.py b/xopt/tests/test_vocs.py index 5e6c37c6c..a16bd569b 100644 --- a/xopt/tests/test_vocs.py +++ b/xopt/tests/test_vocs.py @@ -14,6 +14,7 @@ convert_dataframe_to_inputs, cumulative_optimum, denormalize_inputs, + get_variable_bounds, get_variable_data, normalize_inputs, random_inputs, @@ -278,14 +279,39 @@ def test_grid_inputs_with_discrete_variables(self): assert grid.shape == (2 * 2, 2) assert np.allclose(sorted(grid["d"].unique()), [0.8, 1.6]) - # Custom bounds with no discrete values should raise. - with pytest.raises(ValueError, match="no discrete values"): - grid_inputs( - vocs, - n={"x": 2}, - custom_bounds={"d": [0.81, 1.59]}, - include_constants=False, - ) + def test_get_variable_bounds_contextual_requires_data_when_unbounded(self): + vocs = VOCS( + variables={"x": [0.0, 1.0], "context": ContextualVariable()}, + objectives={"f": "MINIMIZE"}, + ) + + with pytest.raises(KeyError, match="requires data"): + get_variable_bounds(vocs) + + def test_get_variable_bounds_contextual_inferred_when_requested(self): + vocs = VOCS( + variables={"x": [0.0, 1.0], "context": ContextualVariable()}, + objectives={"f": "MINIMIZE"}, + ) + data = pd.DataFrame({"x": [0.1, 0.2], "context": [0.3, 0.7]}) + + bounds = get_variable_bounds(vocs, data=data) + width = 0.7 - 0.3 + padding = 0.05 * width + assert np.isclose(bounds["context"][0], 0.3 - padding) + assert np.isclose(bounds["context"][1], 0.7 + padding) + + def test_get_variable_bounds_contextual_explicit_domain_when_requested(self): + vocs = VOCS( + variables={ + "x": [0.0, 1.0], + "context": ContextualVariable(domain=[2.0, 4.0]), + }, + objectives={"f": "MINIMIZE"}, + ) + + bounds = get_variable_bounds(vocs) + assert bounds["context"] == (2.0, 4.0) def test_random_sampling_custom_bounds(self): vocs = deepcopy(TEST_VOCS_BASE) diff --git a/xopt/utils.py b/xopt/utils.py index 3e6854283..ba9250898 100644 --- a/xopt/utils.py +++ b/xopt/utils.py @@ -15,6 +15,7 @@ import yaml from gest_api.vocs import VOCS, GreaterThanConstraint +from xopt.vocs import ContextualVariable from .generator import Generator from .pydantic import get_descriptions_defaults @@ -254,16 +255,22 @@ def get_local_region(center_point: dict, vocs: VOCS, fraction: float = 0.1) -> d equal to a fixed fraction of the input space for each variable """ - if not center_point.keys() == set(vocs.variable_names): - raise KeyError("Center point keys must match vocs variable names") + local_region_variables = [ + name + for name in vocs.variable_names + if not isinstance(vocs.variables[name], ContextualVariable) + ] + missing_names = [name for name in local_region_variables if name not in center_point] + if missing_names: + raise KeyError("Center point keys must include all non-contextual variables") bounds = {} widths = { ele: vocs.variables[ele].domain[1] - vocs.variables[ele].domain[0] - for ele in vocs.variable_names + for ele in local_region_variables } - for name in vocs.variable_names: + for name in local_region_variables: bounds[name] = [ np.max( ( diff --git a/xopt/vocs.py b/xopt/vocs.py index 4ca2251f3..610c09d98 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -17,7 +17,7 @@ from xopt.errors import FeasibilityError from gest_api.vocs import ( VOCS, - BaseVariable, + ContinuousVariable, GreaterThanConstraint, LessThanConstraint, BoundsConstraint, @@ -26,32 +26,89 @@ ) -class ContextualVariable(BaseVariable): +class ContextualVariable(ContinuousVariable): """ A variable that is not optimized over, but rather is observed and can be conditioned on. + + By default, contextual variables are unbounded. In contexts that require finite bounds, + bounds are inferred from the currently available data. + """ + + def __init__(self, **kwargs): + kwargs.setdefault("domain", [-float("inf"), float("inf")]) + super().__init__(**kwargs) + + +def resolve_contextual_variable_bounds( + variable: ContextualVariable, + data: pd.Series | None, + variable_name: str, + padding_fraction: float = 0.05, + minimum_padding: float = 1e-8, +) -> tuple[float, float]: + """ + Resolve contextual variable bounds. + + Explicit finite domains always take precedence. If the contextual domain is + unbounded, bounds are inferred from data with optional padding. """ + lower = float(variable.domain[0]) + upper = float(variable.domain[1]) + + if np.isfinite(lower) and np.isfinite(upper): + return lower, upper - pass + if data is None: + raise KeyError( + f"contextual variable `{variable_name}` requires data to infer finite bounds" + ) + + lower = float(data.min()) + upper = float(data.max()) + if not np.isfinite(lower) or not np.isfinite(upper): + raise ValueError( + f"contextual variable `{variable_name}` has non-finite bounds in data" + ) + width = upper - lower + padding = max(padding_fraction * width, minimum_padding) + return lower - padding, upper + padding + + +def get_variable_bounds( + vocs: VOCS, + data: pd.DataFrame | None = None, + variable_names: list[str] | None = None, +) -> dict[str, tuple[float, float]]: + """Return [min, max] bounds for variables. -def get_variable_bounds(vocs: VOCS) -> dict[str, tuple[float, float]]: - """Return [min, max] bounds for all variables, including discrete variables.""" + Contextual variable bounds are always resolved with explicit-or-inferred + behavior: explicit finite domains take precedence; unbounded domains are + inferred from provided data. + """ bounds = {} - for name in vocs.variable_names: + names = variable_names if variable_names is not None else vocs.variable_names + for name in names: variable = vocs.variables[name] if isinstance(variable, DiscreteVariable): values = sorted(float(v) for v in variable.values) bounds[name] = (values[0], values[-1]) elif isinstance(variable, ContextualVariable): - continue # don't add bounds for contextual variables + series = data[name] if data is not None and name in data else None + lower, upper = resolve_contextual_variable_bounds(variable, series, name) + bounds[name] = (lower, upper) else: bounds[name] = (float(variable.domain[0]), float(variable.domain[1])) return bounds -def get_variable_bounds_array(vocs: VOCS) -> np.ndarray: +def get_variable_bounds_array( + vocs: VOCS, + data: pd.DataFrame | None = None, + variable_names: list[str] | None = None, +) -> np.ndarray: """Return bounds for all variables as a 2 x d numpy array.""" - bounds = get_variable_bounds(vocs) + bounds = get_variable_bounds(vocs, data=data, variable_names=variable_names) return np.array(list(bounds.values())).T @@ -583,7 +640,14 @@ def normalize_inputs(vocs: VOCS, input_points: pd.DataFrame) -> pd.DataFrame: """ normed_data = {} - variable_bounds = get_variable_bounds(vocs) + present_variable_names = [ + name for name in vocs.variable_names if name in input_points.columns + ] + variable_bounds = get_variable_bounds( + vocs, + data=input_points, + variable_names=present_variable_names, + ) for name in vocs.variable_names: if name in input_points.columns: lb, ub = variable_bounds[name] @@ -626,7 +690,14 @@ def denormalize_inputs(vocs: VOCS, input_points: pd.DataFrame) -> pd.DataFrame: """ denormed_data = {} - variable_bounds = get_variable_bounds(vocs) + present_variable_names = [ + name for name in vocs.variable_names if name in input_points.columns + ] + variable_bounds = get_variable_bounds( + vocs, + data=input_points, + variable_names=present_variable_names, + ) for name in vocs.variable_names: if name in input_points.columns: lb, ub = variable_bounds[name] @@ -664,7 +735,6 @@ def validate_input_data(vocs: VOCS, input_points: pd.DataFrame) -> None: """ variable_data = input_points.loc[:, vocs.variable_names] - variable_bounds = get_variable_bounds(vocs) bad_mask = np.zeros((len(variable_data), len(vocs.variable_names)), dtype=bool) for idx, name in enumerate(vocs.variable_names): @@ -678,9 +748,24 @@ def validate_input_data(vocs: VOCS, input_points: pd.DataFrame) -> None: ).any(axis=1) bad_mask[:, idx] = ~is_allowed elif isinstance(variable, ContextualVariable): - continue # don't validate contextual variables + # Validate contextual variables only when they have explicit finite + # domains and values are present. + if np.isfinite(variable.domain[0]) and np.isfinite(variable.domain[1]): + present = ~np.isnan(values) + finite = np.isfinite(values) + lb = float(variable.domain[0]) + ub = float(variable.domain[1]) + + bad_present = np.logical_and( + present, + np.logical_or(~finite, np.logical_or(values < lb, values > ub)), + ) + bad_mask[:, idx] = bad_present + else: + continue else: - lb, ub = variable_bounds[name] + lb = float(variable.domain[0]) + ub = float(variable.domain[1]) bad_mask[:, idx] = np.logical_or(values < lb, values > ub) if bad_mask.any(): @@ -891,12 +976,18 @@ def clip_variable_bounds( dict[str, list[float]] The final bounds after clipping custom bounds with vocs bounds. """ + active_variable_names = [ + name + for name in vocs.variable_names + if not isinstance(vocs.variables[name], ContextualVariable) + ] + if custom_bounds is None: - final_bounds = get_variable_bounds(vocs) + final_bounds = get_variable_bounds(vocs, variable_names=active_variable_names) elif not isinstance(custom_bounds, dict): raise TypeError("specified `custom_bounds` must be a dict") else: - variable_bounds = get_variable_bounds(vocs) + variable_bounds = get_variable_bounds(vocs, variable_names=active_variable_names) try: validate_variable_bounds(custom_bounds) From 6ced6a8bb8da574ce44a8a098f2a13ee98c1c95f Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Sun, 28 Jun 2026 21:49:35 -0500 Subject: [PATCH 25/42] docstring update --- xopt/vocs.py | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/xopt/vocs.py b/xopt/vocs.py index 610c09d98..219afedfc 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -962,7 +962,9 @@ def clip_variable_bounds( vocs: VOCS, custom_bounds: dict[str, list[float]] | None = None ) -> dict[str, tuple[float, float]]: """ - Return new bounds as intersection of vocs and custom bounds + Return new bounds as intersection of bounds provided by VOCS and custom bounds. + Note that this function only considers non-contextual variables, as + contextual variable bounds are not optimized over. Parameters ---------- From 150e1e614c4d11dc910afc27373fe6d26303878a Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Sun, 28 Jun 2026 22:01:34 -0500 Subject: [PATCH 26/42] add supports contextual variables flag --- xopt/generator.py | 21 ++++++++++++++++++ xopt/generators/__init__.py | 1 + .../generators/bayesian/bayesian_generator.py | 7 ++++++ xopt/tests/test_generator.py | 22 +++++++++++++++++++ xopt/utils.py | 4 +++- xopt/vocs.py | 8 ++++--- 6 files changed, 59 insertions(+), 4 deletions(-) diff --git a/xopt/generator.py b/xopt/generator.py index bf93a68c8..d8935603f 100644 --- a/xopt/generator.py +++ b/xopt/generator.py @@ -9,6 +9,7 @@ from xopt.errors import VOCSError from xopt.pydantic import XoptBaseModel +from xopt.vocs import ContextualVariable from gest_api.vocs import VOCS, DiscreteVariable from gest_api.generator import Generator as BaseGenerator @@ -76,6 +77,13 @@ class Generator(XoptBaseModel, BaseGenerator, ABC): frozen=True, exclude=True, ) + supports_contextual_variables: bool = Field( + default=False, + description="flag that describes if this generator can use contextual input " + "variables", + frozen=True, + exclude=True, + ) vocs: VOCS = Field(description="generator VOCS") data: Optional[pd.DataFrame] = Field( @@ -95,6 +103,13 @@ def _has_discrete_variables(vocs: VOCS) -> bool: for name in vocs.variable_names ) + @staticmethod + def _has_contextual_variables(vocs: VOCS) -> bool: + return any( + isinstance(vocs.variables[name], ContextualVariable) + for name in vocs.variable_names + ) + @field_validator("vocs", mode="after") def validate_vocs(cls, v, info: ValidationInfo): if v.n_constraints > 0 and not info.data["supports_constraints"]: @@ -106,6 +121,12 @@ def validate_vocs(cls, v, info: ValidationInfo): ): raise VOCSError("this generator does not support discrete variables") + if ( + cls._has_contextual_variables(v) + and not info.data["supports_contextual_variables"] + ): + raise VOCSError("this generator does not support contextual variables") + # assert that the generator needs at least one objective if v.n_objectives == 0: raise VOCSError("the generator must have at least one objective") diff --git a/xopt/generators/__init__.py b/xopt/generators/__init__.py index b5a9c3ed7..46eda5711 100644 --- a/xopt/generators/__init__.py +++ b/xopt/generators/__init__.py @@ -146,6 +146,7 @@ def get_generator_defaults( "supports_single_objective", "supports_constraints", "supports_discrete_variables", + "supports_contextual_variables", ]: continue diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index 47615ca9e..cc7ac4924 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -156,6 +156,7 @@ class BayesianGenerator(Generator, ABC): name = "base_bayesian_generator" supports_discrete_variables: bool = True + supports_contextual_variables: bool = True model: Optional[Model] = Field( None, description="botorch model used by the generator to perform optimization" ) @@ -207,6 +208,12 @@ def validate_vocs(cls, v, info: ValidationInfo): if has_discrete_variables(v) and not info.data["supports_discrete_variables"]: raise VOCSError("this generator does not support discrete variables") + if ( + cls._has_contextual_variables(v) + and not info.data["supports_contextual_variables"] + ): + raise VOCSError("this generator does not support contextual variables") + # assertion that at least one objective exists is done in model_validator below if v.n_objectives == 1: if not info.data["supports_single_objective"]: diff --git a/xopt/tests/test_generator.py b/xopt/tests/test_generator.py index da014df5c..fa468faee 100644 --- a/xopt/tests/test_generator.py +++ b/xopt/tests/test_generator.py @@ -11,6 +11,7 @@ list_available_generators, ) from xopt.resources.testing import TEST_VOCS_BASE +from xopt.vocs import ContextualVariable from gest_api.vocs import VOCS @@ -43,6 +44,14 @@ def generate(self, n_candidates) -> list[dict]: pass +class PatchGeneratorSupportsContextual(Generator): + supports_single_objective: bool = True + supports_contextual_variables: bool = True + + def generate(self, n_candidates) -> list[dict]: + pass + + class TestGenerator: def test_init(self): PatchGenerator(vocs=TEST_VOCS_BASE) @@ -128,6 +137,19 @@ def test_generator_discrete_validation(self): PatchGeneratorSupportsDiscrete(vocs=vocs_with_discrete) + def test_generator_contextual_validation(self): + vocs_with_contextual = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable()}, + objectives={"y1": "MINIMIZE"}, + ) + + with pytest.raises( + VOCSError, match="this generator does not support contextual variables" + ): + PatchGenerator(vocs=vocs_with_contextual) + + PatchGeneratorSupportsContextual(vocs=vocs_with_contextual) + def test_data_validator_indexerror(self): data_dict = {"x1": 1.0, "x2": 2.0} gen = PatchGenerator(vocs=TEST_VOCS_BASE, data=data_dict) diff --git a/xopt/utils.py b/xopt/utils.py index ba9250898..0f20553e9 100644 --- a/xopt/utils.py +++ b/xopt/utils.py @@ -260,7 +260,9 @@ def get_local_region(center_point: dict, vocs: VOCS, fraction: float = 0.1) -> d for name in vocs.variable_names if not isinstance(vocs.variables[name], ContextualVariable) ] - missing_names = [name for name in local_region_variables if name not in center_point] + missing_names = [ + name for name in local_region_variables if name not in center_point + ] if missing_names: raise KeyError("Center point keys must include all non-contextual variables") diff --git a/xopt/vocs.py b/xopt/vocs.py index 219afedfc..04a2198ae 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -962,8 +962,8 @@ def clip_variable_bounds( vocs: VOCS, custom_bounds: dict[str, list[float]] | None = None ) -> dict[str, tuple[float, float]]: """ - Return new bounds as intersection of bounds provided by VOCS and custom bounds. - Note that this function only considers non-contextual variables, as + Return new bounds as intersection of bounds provided by VOCS and custom bounds. + Note that this function only considers non-contextual variables, as contextual variable bounds are not optimized over. Parameters @@ -989,7 +989,9 @@ def clip_variable_bounds( elif not isinstance(custom_bounds, dict): raise TypeError("specified `custom_bounds` must be a dict") else: - variable_bounds = get_variable_bounds(vocs, variable_names=active_variable_names) + variable_bounds = get_variable_bounds( + vocs, variable_names=active_variable_names + ) try: validate_variable_bounds(custom_bounds) From bbccce5fb1ded390d4441fffab1932b42e546e30 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Sun, 28 Jun 2026 22:11:13 -0500 Subject: [PATCH 27/42] add docstring --- xopt/vocs.py | 42 ++++++++++++++++++++++++++++++++++++++---- 1 file changed, 38 insertions(+), 4 deletions(-) diff --git a/xopt/vocs.py b/xopt/vocs.py index 04a2198ae..d402ede97 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -46,11 +46,45 @@ def resolve_contextual_variable_bounds( padding_fraction: float = 0.05, minimum_padding: float = 1e-8, ) -> tuple[float, float]: - """ - Resolve contextual variable bounds. + """Resolve finite bounds for a contextual variable. + + This utility applies the contextual bound resolution policy used throughout Xopt: + explicit finite domains take precedence over data-derived bounds. If the + contextual domain is unbounded, finite bounds are inferred from observed data + and expanded by a small padding. + + Parameters + ---------- + variable : ContextualVariable + Contextual variable whose effective bounds are being resolved. + data : pd.Series or None + Observed values for the contextual variable. Required only when + ``variable.domain`` is not finite. + variable_name : str + Variable name used to construct informative error messages. + padding_fraction : float, optional + Fraction of inferred data width to add on each side of the interval. + Default is ``0.05``. + minimum_padding : float, optional + Minimum absolute padding used when inferred data width is very small. + Default is ``1e-8``. + + Returns + ------- + tuple[float, float] + Resolved lower and upper bounds. - Explicit finite domains always take precedence. If the contextual domain is - unbounded, bounds are inferred from data with optional padding. + Raises + ------ + KeyError + If the contextual domain is unbounded and no data is provided. + ValueError + If inferred bounds from data are non-finite. + + Notes + ----- + If ``variable.domain`` is finite, data is ignored and domain bounds are + returned directly. """ lower = float(variable.domain[0]) upper = float(variable.domain[1]) From 4b0cfa82fe908f227f2a2b046a0e232f2b5eff5f Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Sun, 28 Jun 2026 22:28:09 -0500 Subject: [PATCH 28/42] fix turbo test --- .../generators/bayesian/bayesian_generator.py | 24 +----- xopt/generators/bayesian/turbo.py | 45 +++++++++-- xopt/generators/bayesian/utils.py | 26 ++++--- .../generators/bayesian/test_contextual_bo.py | 74 +++++++++++++++++++ 4 files changed, 130 insertions(+), 39 deletions(-) diff --git a/xopt/generators/bayesian/bayesian_generator.py b/xopt/generators/bayesian/bayesian_generator.py index cc7ac4924..1bbbac049 100644 --- a/xopt/generators/bayesian/bayesian_generator.py +++ b/xopt/generators/bayesian/bayesian_generator.py @@ -528,17 +528,6 @@ def train_model( # get input bounds variable_bounds = self.get_model_input_bounds(data) - # if turbo restrict points is true then set the bounds to the trust region - # bounds - if self.turbo_controller is not None: - if self.turbo_controller.restrict_model_data: - variable_bounds = dict( - zip( - self.vocs.variable_names, - self.turbo_controller.get_trust_region(self).numpy().T, - ) - ) - _model = self.gp_constructor.build_model( self.model_input_names, self.model_output_names, @@ -947,16 +936,9 @@ def get_model_input_bounds(self, data: pd.DataFrame) -> Dict[str, List[float]]: # bounds if self.turbo_controller is not None: if self.turbo_controller.restrict_model_data: - variable_bounds = dict( - zip( - [ - name - for name in self.vocs.variable_names - if name not in self.contextual_variables - ], - self.turbo_controller.get_trust_region(self).numpy().T, - ) - ) + trust_region_bounds = self.turbo_controller.get_trust_region(self) + for idx, name in enumerate(self._candidate_names): + variable_bounds[name] = trust_region_bounds[:, idx].numpy() # add fixed feature bounds if requested if self.fixed_features is not None: diff --git a/xopt/generators/bayesian/turbo.py b/xopt/generators/bayesian/turbo.py index e03d10123..72a8c6960 100644 --- a/xopt/generators/bayesian/turbo.py +++ b/xopt/generators/bayesian/turbo.py @@ -219,11 +219,7 @@ def get_trust_region(self, generator: "BayesianGenerator") -> Tensor: """ model = generator.model - active_variable_names = [ - name - for name in self.vocs.variable_names - if not isinstance(self.vocs.variables[name], ContextualVariable) - ] + active_variable_names = self._get_trust_region_variable_names(generator) bounds = torch.tensor( get_variable_bounds_array(self.vocs, variable_names=active_variable_names), dtype=torch.double, @@ -248,8 +244,23 @@ def get_trust_region(self, generator: "BayesianGenerator") -> Tensor: model.models[0].covar_module.lengthscale.detach().cpu() ) + # Restrict lengthscales to the trust-region dimensions. + if lengthscales.ndim > 1: + lengthscales = lengthscales.reshape(-1) + input_names = list(generator.model_input_names) + active_indices = [ + input_names.index(name) + for name in active_variable_names + if name in input_names + ] + if active_indices: + lengthscales = lengthscales[active_indices] + # calculate the ratios of lengthscales for each axis - weights = lengthscales / torch.prod(lengthscales) ** (1 / self.dim) + active_dim = len(active_variable_names) + weights = lengthscales / torch.prod(lengthscales) ** ( + 1 / active_dim + ) # calculate the tr bounding box tr_lb = torch.clamp( @@ -262,6 +273,25 @@ def get_trust_region(self, generator: "BayesianGenerator") -> Tensor: else: return bounds + def _get_trust_region_variable_names( + self, generator: "BayesianGenerator" + ) -> list[str]: + """Return variable names used by the trust region. + + Prefer generator candidate variables so trust-region filtering and + optimization use the same dimensionality. Fall back to non-contextual + VOCS variables if candidate names are unavailable. + """ + candidate_names = getattr(generator, "_candidate_names", None) + if candidate_names is not None: + return list(candidate_names) + + return [ + name + for name in self.vocs.variable_names + if not isinstance(self.vocs.variables[name], ContextualVariable) + ] + def update_trust_region(self): """ Update the trust region based on success and failure counters. @@ -291,7 +321,8 @@ def get_data_in_trust_region( pd.DataFrame The subset of data within the trust region. """ - variable_data = torch.tensor(get_variable_data(self.vocs, data).to_numpy()) + active_variable_names = self._get_trust_region_variable_names(generator) + variable_data = torch.tensor(data[active_variable_names].to_numpy()) bounds = self.get_trust_region(generator) diff --git a/xopt/generators/bayesian/utils.py b/xopt/generators/bayesian/utils.py index bba64f707..286571ecc 100644 --- a/xopt/generators/bayesian/utils.py +++ b/xopt/generators/bayesian/utils.py @@ -313,20 +313,24 @@ def validate_turbo_controller_center(generator): if generator.turbo_controller is not None: # Check that values for center_x are within trust region bounds trust_region = generator.turbo_controller.get_trust_region(generator) + active_variable_names = list( + getattr(generator, "_candidate_names", generator.vocs.variable_names) + ) center_x = generator.turbo_controller.center_x if center_x is not None: - for key, value in center_x.items(): - if key in generator.vocs.variable_names: - idx = generator.vocs.variable_names.index(key) - lower_bound = trust_region[0, idx].item() - upper_bound = trust_region[1, idx].item() - if not (lower_bound <= value <= upper_bound): - raise ValueError( - f"Turbo controller center_x value for {key} : " - f"{value} is outside of trust region bounds " - f"[{lower_bound}, {upper_bound}]" - ) + for idx, key in enumerate(active_variable_names): + value = center_x.get(key) + if value is None: + continue + lower_bound = trust_region[0, idx].item() + upper_bound = trust_region[1, idx].item() + if not (lower_bound <= value <= upper_bound): + raise ValueError( + f"Turbo controller center_x value for {key} : " + f"{value} is outside of trust region bounds " + f"[{lower_bound}, {upper_bound}]" + ) class MeanVarModelWrapper(torch.nn.Module): diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index 360e8b03c..271339d68 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -7,6 +7,7 @@ from xopt.generators.bayesian.upper_confidence_bound import ( UpperConfidenceBoundGenerator, ) +from xopt.generators.bayesian.turbo import OptimizeTurboController from xopt.vocs import VOCS, ContextualVariable, convert_dataframe_to_inputs import pytest import torch @@ -197,6 +198,44 @@ def test_optimization_bounds_excludes_contextual_and_fixed(self): assert bounds.shape == (2, 1) assert torch.allclose(bounds, torch.tensor([[0.0], [1.0]]).double()) + @pytest.mark.parametrize( + "generator_class", + [ExpectedImprovementGenerator, UpperConfidenceBoundGenerator], + ) + def test_generate_with_contextual_and_fixed_features(self, generator_class): + """Generated candidates should omit contextual variables and respect fixed + feature values.""" + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable(), "x3": [0, 1]}, + objectives={"y": "MAXIMIZE"}, + ) + generator = generator_class(vocs=vocs, fixed_features={"x3": 0.25}) + + data = pd.DataFrame( + { + "x1": np.linspace(0.0, 1.0, 8), + "x2": np.linspace(0.2, 0.8, 8), + "x3": np.linspace(0.0, 1.0, 8), + "y": np.sin(2 * np.pi * np.linspace(0.0, 1.0, 8)), + } + ) + generator.add_data(data) + generator.train_model() + + candidates = generator.generate(2) + if isinstance(candidates, list): + assert all("x1" in candidate for candidate in candidates) + assert all("x2" not in candidate for candidate in candidates) + assert all("x3" in candidate for candidate in candidates) + assert all(np.isclose(candidate["x3"], 0.25) for candidate in candidates) + assert all(0.0 <= candidate["x1"] <= 1.0 for candidate in candidates) + else: + assert "x1" in candidates.columns + assert "x2" not in candidates.columns + assert "x3" in candidates.columns + assert np.allclose(candidates["x3"].to_numpy(), 0.25) + assert candidates["x1"].between(0.0, 1.0).all() + def test_convert_dataframe_to_inputs_error_message_contextual(self): """The error message when input columns mismatch must mention non-contextual variables so users are not confused by contextual variables being absent.""" @@ -210,3 +249,38 @@ def test_convert_dataframe_to_inputs_error_message_contextual(self): match="non-contextual", ): convert_dataframe_to_inputs(vocs, pd.DataFrame({"x2": [0.5]})) + + def test_contextual_variable_with_turbo_controller(self): + """Contextual variables and TuRBO should work together, with TuRBO operating + over controllable variables only.""" + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable()}, + objectives={"y": "MAXIMIZE"}, + ) + turbo = OptimizeTurboController(vocs=vocs) + generator = UpperConfidenceBoundGenerator(vocs=vocs, turbo_controller=turbo) + + data = pd.DataFrame( + { + "x1": np.linspace(0.0, 1.0, 8), + "x2": np.linspace(0.2, 0.8, 8), + "y": np.sin(2 * np.pi * np.linspace(0.0, 1.0, 8)), + } + ) + generator.add_data(data) + generator.train_model() + + # TuRBO trust region should stay in controllable dimensions only. + tr = generator.turbo_controller.get_trust_region(generator) + assert tr.shape == (2, 1) + + # Optimization bounds should likewise be 1D (x1 only). + opt_bounds = generator._get_optimization_bounds() + assert opt_bounds.shape == (2, 1) + + # Candidate generation should exclude contextual variables. + candidates = generator.generate(1) + if isinstance(candidates, list): + assert all("x2" not in candidate for candidate in candidates) + else: + assert "x2" not in candidates.columns From b25a6cabf454d6b3a5bb4ad070c7c4262dcac60e Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Wed, 8 Jul 2026 11:19:40 -0500 Subject: [PATCH 29/42] add tests for coverage --- .../generators/bayesian/test_contextual_bo.py | 91 +++++++++++++++++++ 1 file changed, 91 insertions(+) diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index 271339d68..3bdfbe1ee 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -8,6 +8,8 @@ UpperConfidenceBoundGenerator, ) from xopt.generators.bayesian.turbo import OptimizeTurboController +from xopt.generators.bayesian.utils import validate_turbo_controller_center +from xopt.errors import VOCSError from xopt.vocs import VOCS, ContextualVariable, convert_dataframe_to_inputs import pytest import torch @@ -284,3 +286,92 @@ def test_contextual_variable_with_turbo_controller(self): assert all("x2" not in candidate for candidate in candidates) else: assert "x2" not in candidates.columns + + def test_bayesian_generator_contextual_support_flag(self): + """Bayesian generators must reject contextual variables when support is disabled.""" + + class NoContextUCBGenerator(UpperConfidenceBoundGenerator): + supports_contextual_variables: bool = False + + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable()}, + objectives={"y": "MAXIMIZE"}, + ) + + with pytest.raises( + VOCSError, match="this generator does not support contextual variables" + ): + NoContextUCBGenerator(vocs=vocs) + + def test_turbo_fallback_variable_names_exclude_contextual(self): + """TuRBO should fall back to non-contextual VOCS variables when candidate + names are unavailable.""" + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable(), "x3": [-1, 1]}, + objectives={"y": "MAXIMIZE"}, + ) + turbo = OptimizeTurboController(vocs=vocs) + + dummy_generator = type("DummyGenerator", (), {})() + dummy_generator.vocs = vocs + + assert turbo._get_trust_region_variable_names(dummy_generator) == ["x1", "x3"] + + def test_turbo_center_x_with_contextual_and_fixed_features(self): + """TuRBO center validation and data filtering should operate over active + candidate dimensions only.""" + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable(), "x3": [0, 1]}, + objectives={"y": "MAXIMIZE"}, + ) + turbo = OptimizeTurboController( + vocs=vocs, + center_x={"x1": 0.5, "x2": 10.0, "x3": 10.0}, + length=0.5, + ) + generator = UpperConfidenceBoundGenerator( + vocs=vocs, + fixed_features={"x3": 0.25}, + turbo_controller=turbo, + ) + + data = pd.DataFrame( + { + "x1": [0.1, 0.4, 0.6, 0.9], + "x2": [0.2, 0.4, 0.6, 0.8], + "x3": [0.25, 0.25, 0.25, 0.25], + "y": [1.0, 2.0, 3.0, 4.0], + } + ) + + filtered = generator.get_training_data(data) + assert not filtered.empty + assert filtered["x1"].between(0.25, 0.75).all() + + def test_turbo_center_validation_skips_missing_candidate_key(self): + """Center validation should skip candidate dimensions absent from center_x.""" + vocs = VOCS( + variables={"x1": [0, 1], "x2": [0, 1]}, + objectives={"y": "MAXIMIZE"}, + ) + + class DummyTurboController(OptimizeTurboController): + def get_trust_region(self, generator): + return torch.tensor([[0.0, 0.0], [1.0, 1.0]], dtype=torch.double) + + turbo = DummyTurboController( + vocs=vocs, + center_x={"x1": 0.5, "x2": 0.5}, + ) + + class DummyGenerator: + def __init__(self, vocs, turbo_controller): + self.vocs = vocs + self.turbo_controller = turbo_controller + + @property + def _candidate_names(self): + return ["x1", "missing_feature"] + + generator = DummyGenerator(vocs, turbo) + validate_turbo_controller_center(generator) From 30153ff42d51ee4b9c61def685d9b4d8e6e7ba69 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Wed, 8 Jul 2026 11:26:27 -0500 Subject: [PATCH 30/42] linting --- xopt/utils.py | 1 - 1 file changed, 1 deletion(-) diff --git a/xopt/utils.py b/xopt/utils.py index c376e2d98..bb6a4b0fa 100644 --- a/xopt/utils.py +++ b/xopt/utils.py @@ -15,7 +15,6 @@ import yaml from gest_api.vocs import VOCS, GreaterThanConstraint -from xopt.vocs import ContextualVariable from .generator import Generator from .pydantic import get_descriptions_defaults From 1d385f27847b4bdc9e9ed08cbb5d57e1d693ec3c Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Thu, 9 Jul 2026 14:23:18 -0500 Subject: [PATCH 31/42] fix plotting issues --- .../contextual_bo.ipynb | 26 +++++++- xopt/generators/bayesian/visualize.py | 59 +++++++++++++++++-- .../generators/bayesian/test_visualize.py | 38 ++++++++++++ 3 files changed, 118 insertions(+), 5 deletions(-) diff --git a/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb b/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb index 0ca73adc3..82555b4ab 100644 --- a/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb +++ b/docs/examples/single_objective_bayes_opt/contextual_bo.ipynb @@ -44,7 +44,7 @@ "\n", "SMOKE_TEST = os.environ.get(\"SMOKE_TEST\", \"\").lower() in [\"1\", \"true\", \"yes\"]\n", "N_INITIAL = 3 if SMOKE_TEST else 8\n", - "N_STEPS = 8 if SMOKE_TEST else 100" + "N_STEPS = 8 if SMOKE_TEST else 50" ] }, { @@ -303,6 +303,17 @@ " )" ] }, + { + "cell_type": "markdown", + "id": "7bc449af", + "metadata": {}, + "source": [ + "## Visualizing contextual models and acquisition functions\n", + "These plots inspect the surrogate models learned by the contextual and standard generators. For the contextual generator, the model depends on both x1 and the observed context value, so visualization can show either the full model or a slice over selected variables.\n", + "\n", + "Note that we cannot visualize the acquisition function in the 2D plots shown below because it is conditioned on the context value, however we can visualize it in 1D because the context value is given by the reference point." + ] + }, { "cell_type": "code", "execution_count": null, @@ -313,6 +324,19 @@ "contextual_generator.visualize_model()" ] }, + { + "cell_type": "code", + "execution_count": null, + "id": "a878756e", + "metadata": {}, + "outputs": [], + "source": [ + "contextual_generator.visualize_model(\n", + " variable_names=[\"x1\"],\n", + " show_samples=False,\n", + ")" + ] + }, { "cell_type": "code", "execution_count": null, diff --git a/xopt/generators/bayesian/visualize.py b/xopt/generators/bayesian/visualize.py index c73be685d..5b29773dd 100644 --- a/xopt/generators/bayesian/visualize.py +++ b/xopt/generators/bayesian/visualize.py @@ -16,6 +16,7 @@ import numpy as np import torch from botorch.acquisition import AcquisitionFunction +from botorch.acquisition.fixed_feature import FixedFeatureAcquisitionFunction from botorch.models import ModelListGP from gest_api.vocs import DiscreteVariable from pandas import DataFrame @@ -724,6 +725,10 @@ def plot_acquisition_function( data=data, tkwargs=tkwargs, ) + acquisition_input_mesh = _get_acquisition_input_mesh( + acquisition_function=acquisition_function, + input_mesh=input_mesh, + ) if exponentiate: y_label = r"$\exp[ \alpha]$" @@ -740,12 +745,19 @@ def plot_acquisition_function( base_acq = None if hasattr(acquisition_function, "base_acquisition"): base_acq = ( - acquisition_function.base_acquisition(input_mesh.unsqueeze(1)) + acquisition_function.base_acquisition( + acquisition_input_mesh.unsqueeze(1) + ) .detach() .squeeze() .numpy() ) - acq = acquisition_function(input_mesh.unsqueeze(1)).detach().squeeze().numpy() + acq = ( + acquisition_function(acquisition_input_mesh.unsqueeze(1)) + .detach() + .squeeze() + .numpy() + ) if exponentiate: acq = np.exp(acq) @@ -794,7 +806,9 @@ def plot_acquisition_function( "Given acquisition function doesn't have a base_acquisition attribute." ) acq = ( - acquisition_function.base_acquisition(input_mesh.unsqueeze(1)) + acquisition_function.base_acquisition( + acquisition_input_mesh.unsqueeze(1) + ) .detach() .squeeze() .cpu() @@ -802,7 +816,7 @@ def plot_acquisition_function( ) else: acq = ( - acquisition_function(input_mesh.unsqueeze(1)) + acquisition_function(acquisition_input_mesh.unsqueeze(1)) .detach() .squeeze() .cpu() @@ -1241,6 +1255,43 @@ def _get_contextual_axes(variable_names: list[str], vocs: VOCS) -> list[str]: ] +def _get_acquisition_input_mesh( + acquisition_function: AcquisitionFunction, + input_mesh: torch.Tensor, +) -> torch.Tensor: + """Project full input mesh onto unfixed dimensions for fixed-feature acquisition.""" + if not isinstance(acquisition_function, FixedFeatureAcquisitionFunction): + return input_mesh + + full_dim = int(acquisition_function.d) + + fixed_columns = getattr(acquisition_function, "columns", None) + if fixed_columns is not None: + fixed_column_indices = sorted(int(column) for column in fixed_columns) + free_columns = [ + column for column in range(full_dim) if column not in fixed_column_indices + ] + else: + selector = getattr(acquisition_function, "_selector", None) + values = getattr(acquisition_function, "values", None) + if selector is None or values is None: + return input_mesh + + n_fixed = int(values.shape[-1]) + input_dim = full_dim - n_fixed + free_columns = [ + output_column + for output_column, source_column in enumerate(selector) + if int(source_column) < input_dim + ] + + if input_mesh.shape[-1] == len(free_columns): + return input_mesh + if input_mesh.shape[-1] != full_dim: + return input_mesh + return input_mesh[..., free_columns] + + def _plot_acquisition_warning(axis: Axes, contextual_axes: list[str]) -> Axes: """Render an acquisition warning panel when contextual axes are selected.""" contextual_label = ", ".join(contextual_axes) diff --git a/xopt/tests/generators/bayesian/test_visualize.py b/xopt/tests/generators/bayesian/test_visualize.py index 9136ccb00..a181cf7d7 100644 --- a/xopt/tests/generators/bayesian/test_visualize.py +++ b/xopt/tests/generators/bayesian/test_visualize.py @@ -386,6 +386,44 @@ def test_visualize_model_with_contextual_axis_shows_acquisition_warning(): plt.close(fig) +def test_visualize_model_contextual_slice_plots_acquisition(): + vocs = VOCS( + variables={"x": [0, 1], "context": ContextualVariable()}, + objectives={"z": "MAXIMIZE"}, + constraints={}, + observables=["z"], + ) + x = np.linspace(0.05, 0.95, 8) + context = np.linspace(0.1, 0.9, 8) + data = pd.DataFrame( + { + "x": x, + "context": context, + "z": -((x - context) ** 2), + } + ) + + generator = UpperConfidenceBoundGenerator(vocs=vocs) + generator.add_data(data) + generator.train_model() + + fig, ax = generator.visualize_model( + output_names=["z"], + variable_names=["x"], + n_grid=5, + show_samples=False, + show_acquisition=True, + ) + + acquisition_axis = ax[1, 0] + assert not any( + "Acquisition plot unavailable" in text.get_text() + for text in acquisition_axis.texts + ) + assert acquisition_axis.has_data() + plt.close(fig) + + def test_plot_model_prediction_contextual_axis_uses_explicit_domain_without_data_column(): vocs = VOCS( variables={"x": [0, 1], "context": ContextualVariable(domain=[2.0, 3.0])}, From 3c5cd1a9127e39df113a27d6b641223e1d171978 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 10 Jul 2026 14:16:14 -0500 Subject: [PATCH 32/42] add tests for vocs to reach 100% coverage --- xopt/tests/test_vocs.py | 195 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 195 insertions(+) diff --git a/xopt/tests/test_vocs.py b/xopt/tests/test_vocs.py index 6ab85f0bd..30f279b4b 100644 --- a/xopt/tests/test_vocs.py +++ b/xopt/tests/test_vocs.py @@ -1,5 +1,6 @@ import warnings from copy import deepcopy +from types import SimpleNamespace import numpy as np import pandas as pd @@ -7,8 +8,12 @@ from pydantic import ValidationError import yaml +from xopt.errors import FeasibilityError from xopt.resources.testing import TEST_VOCS_BASE, TEST_VOCS_DATA from xopt.vocs import ( + resolve_contextual_variable_bounds, + get_variable_bounds_array, + has_discrete_variables, ContextualVariable, convert_numpy_to_inputs, convert_dataframe_to_inputs, @@ -21,6 +26,8 @@ random_inputs, select_best, grid_inputs, + get_observable_data, + get_local_region, get_objective_data, validate_input_data, extract_data, @@ -32,6 +39,7 @@ MinimizeObjective, ExploreObjective, LessThanConstraint, + BoundsConstraint, ) @@ -696,3 +704,190 @@ def test_convert_numpy_to_inputs_with_contextual_variable(self): assert list(result2.columns) == ["z", "a"] assert result2["z"].iloc[0] == 5.0 assert result2["a"].iloc[0] == 0.5 + + def test_contextual_bounds_reject_non_finite_inferred_data(self): + variable = ContextualVariable() + data = pd.Series([np.inf, np.nan]) + + with pytest.raises(ValueError, match="non-finite bounds"): + resolve_contextual_variable_bounds(variable, data, "ctx") + + def test_variable_bounds_array_and_discrete_detection(self): + with_discrete = VOCS( + variables={"x": [0.0, 1.0], "d": {0.0, 1.0}}, + objectives={"y": "MINIMIZE"}, + ) + bounds = get_variable_bounds_array(with_discrete) + assert bounds.shape == (2, 2) + assert has_discrete_variables(with_discrete) + + no_discrete = VOCS( + variables={"x": [0.0, 1.0]}, + objectives={"y": "MINIMIZE"}, + ) + assert not has_discrete_variables(no_discrete) + + def test_random_and_grid_inputs_raise_when_no_discrete_values_in_bounds(self): + vocs = VOCS( + variables={"x": [0.0, 1.0], "d": {0.0, 0.8}}, + objectives={"y": "MINIMIZE"}, + ) + + with pytest.raises(ValueError, match="no discrete values"): + random_inputs(vocs, 3, custom_bounds={"d": [0.1, 0.7]}) + + with pytest.raises(ValueError, match="no discrete values"): + grid_inputs(vocs, n=3, custom_bounds={"d": [0.1, 0.7]}) + + def test_grid_inputs_requires_count_for_each_continuous_variable(self): + vocs = VOCS( + variables={"x": [0.0, 1.0], "d": {0.0, 0.8}}, + objectives={"y": "MINIMIZE"}, + ) + + with pytest.raises(ValueError, match="Number of points for variable"): + grid_inputs(vocs, n={"d": 4}) + + def test_get_variable_data_empty_variables_and_list_input(self): + fake_empty = SimpleNamespace(variables={}) + assert get_variable_data(fake_empty, [{"x": 1.0}]).empty + + vocs = deepcopy(TEST_VOCS_BASE) + data = [{"x1": 0.2, "x2": 0.3, "constant1": 1.0}] + result = get_variable_data(vocs, data) + assert list(result.columns) == ["x1", "x2"] + + def test_get_objective_data_edge_cases(self): + fake_no_objective = SimpleNamespace(objectives={}) + assert get_objective_data(fake_no_objective, [{"y": 1.0}]).empty + + vocs = deepcopy(TEST_VOCS_BASE) + result = get_objective_data(vocs, [{"y1": 0.2}]) + assert list(result.columns) == ["objective_y1"] + + class UnknownObjective: + pass + + fake_unknown_full = SimpleNamespace(objectives={"y1": UnknownObjective()}) + with pytest.raises(ValueError, match="Unknown objective operator"): + get_objective_data(fake_unknown_full, pd.DataFrame({"y1": [0.1]})) + + fake_unknown_missing = SimpleNamespace( + objectives={"y1": UnknownObjective(), "y2": MinimizeObjective()} + ) + with pytest.raises(ValueError, match="Unknown objective operator"): + get_objective_data(fake_unknown_missing, pd.DataFrame({"y1": [0.1]})) + + def test_get_constraint_data_missing_and_unknown_constraint_types(self): + vocs = VOCS( + variables={"x": [0.0, 1.0]}, + objectives={"f": "MINIMIZE"}, + constraints={"c1": ["LESS_THAN", 0.5]}, + ) + missing = get_constraint_data(vocs, pd.DataFrame({"x": [0.2]})) + assert np.isinf(missing["constraint_c1"]).all() + + fake_bounds = SimpleNamespace(constraints={"c1": BoundsConstraint(range=[0.0, 1.0])}) + with pytest.raises(NotImplementedError, match="BoundsConstraint"): + get_constraint_data(fake_bounds, pd.DataFrame({"c1": [0.5]})) + + fake_unknown = SimpleNamespace(constraints={"c1": object()}) + with pytest.raises(ValueError, match="Unknown constraint operator"): + get_constraint_data(fake_unknown, pd.DataFrame({"c1": [0.5]})) + + def test_get_observable_data_missing_and_nan(self): + vocs = VOCS( + variables={"x": [0.0, 1.0]}, + objectives={"y": "MINIMIZE"}, + observables=["o1", "o2"], + ) + + obs = get_observable_data(vocs, pd.DataFrame({"o1": [np.nan, 2.0]})) + assert np.isinf(obs["observable_o1"].iloc[0]) + assert obs["observable_o1"].iloc[1] == 2.0 + assert np.isinf(obs["observable_o2"]).all() + + def test_get_local_region_success_and_key_error(self): + vocs = VOCS( + variables={"x1": [0.0, 1.0], "x2": [0.0, 2.0]}, + objectives={"y": "MINIMIZE"}, + ) + + with pytest.raises(KeyError, match="Center point keys"): + get_local_region(vocs, {"x1": 0.5}) + + region = get_local_region(vocs, {"x1": 0.2, "x2": 1.8}, fraction=0.5) + assert region["x1"] == [0.0, 0.7] + assert region["x2"] == [0.8, 2.0] + + def test_normalize_and_denormalize_return_empty_when_no_input_variables(self): + vocs = deepcopy(TEST_VOCS_BASE) + data = pd.DataFrame({"other": [1.0, 2.0]}) + + assert normalize_inputs(vocs, data).empty + assert denormalize_inputs(vocs, data).empty + + def test_validate_input_data_with_contextual_variable_explicit_domain(self): + vocs = VOCS( + variables={ + "x": [0.0, 1.0], + "ctx": ContextualVariable(domain=[0.0, 1.0]), + }, + objectives={"y": "MINIMIZE"}, + ) + + validate_input_data(vocs, pd.DataFrame({"x": [0.2, 0.8], "ctx": [np.nan, 0.5]})) + + with pytest.raises(ValueError, match="not valid"): + validate_input_data(vocs, pd.DataFrame({"x": [0.2], "ctx": [np.inf]})) + + with pytest.raises(ValueError, match="not valid"): + validate_input_data(vocs, pd.DataFrame({"x": [0.2], "ctx": [2.0]})) + + # Unbounded contextual variables are intentionally not range-validated. + vocs_unbounded = VOCS( + variables={"x": [0.0, 1.0], "ctx": ContextualVariable()}, + objectives={"y": "MINIMIZE"}, + ) + validate_input_data( + vocs_unbounded, + pd.DataFrame({"x": [0.2], "ctx": [np.inf]}), + ) + + def test_select_best_additional_error_paths(self): + vocs = deepcopy(TEST_VOCS_BASE) + data = pd.DataFrame( + { + "x1": [0.1, 0.2], + "x2": [0.3, 0.4], + "c1": [0.0, 0.1], + "y1": [1.0, 2.0], + } + ) + + with pytest.raises(FeasibilityError): + select_best(vocs, data) + + class UnknownObjective: + pass + + fake_vocs = SimpleNamespace( + n_objectives=1, + objective_names=["y"], + objectives={"y": UnknownObjective()}, + constraints={}, + ) + with pytest.raises(NotImplementedError, match="objective type"): + select_best(fake_vocs, pd.DataFrame({"y": [1.0]})) + + def test_validate_variable_bounds_error_paths(self): + from xopt.vocs import validate_variable_bounds + + with pytest.raises(ValueError, match="must be a list"): + validate_variable_bounds({"x": 1.0}) + + with pytest.raises(ValueError, match="length 2"): + validate_variable_bounds({"x": [0.0, 1.0, 2.0]}) + + with pytest.raises(ValueError, match=r"value\[1\] > value\[0\]"): + validate_variable_bounds({"x": [1.0, 1.0]}) From a56b5c4678589a5c628db8f565713b2fb40fc17d Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 10 Jul 2026 14:20:19 -0500 Subject: [PATCH 33/42] linting --- xopt/tests/test_vocs.py | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/xopt/tests/test_vocs.py b/xopt/tests/test_vocs.py index 30f279b4b..c14325da6 100644 --- a/xopt/tests/test_vocs.py +++ b/xopt/tests/test_vocs.py @@ -787,7 +787,9 @@ def test_get_constraint_data_missing_and_unknown_constraint_types(self): missing = get_constraint_data(vocs, pd.DataFrame({"x": [0.2]})) assert np.isinf(missing["constraint_c1"]).all() - fake_bounds = SimpleNamespace(constraints={"c1": BoundsConstraint(range=[0.0, 1.0])}) + fake_bounds = SimpleNamespace( + constraints={"c1": BoundsConstraint(range=[0.0, 1.0])} + ) with pytest.raises(NotImplementedError, match="BoundsConstraint"): get_constraint_data(fake_bounds, pd.DataFrame({"c1": [0.5]})) From c9c36a13ec2d959b623e03800f1b5c4f8e3bc912 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 17 Jul 2026 10:25:36 -0500 Subject: [PATCH 34/42] update to use ContextualVariable from gest-api --- xopt/vocs.py | 15 +-------------- 1 file changed, 1 insertion(+), 14 deletions(-) diff --git a/xopt/vocs.py b/xopt/vocs.py index 7b9967538..d132fc97e 100644 --- a/xopt/vocs.py +++ b/xopt/vocs.py @@ -17,28 +17,15 @@ from xopt.errors import FeasibilityError from gest_api.vocs import ( VOCS, - ContinuousVariable, GreaterThanConstraint, LessThanConstraint, BoundsConstraint, DiscreteVariable, MaximizeObjective, + ContextualVariable, ) -class ContextualVariable(ContinuousVariable): - """ - A variable that is not optimized over, but rather is observed and can be conditioned on. - - By default, contextual variables are unbounded. In contexts that require finite bounds, - bounds are inferred from the currently available data. - """ - - def __init__(self, **kwargs): - kwargs.setdefault("domain", [-float("inf"), float("inf")]) - super().__init__(**kwargs) - - def resolve_contextual_variable_bounds( variable: ContextualVariable, data: pd.Series | None, From 293e43a0884ec48fe6bad85bdb11561e544919de Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 17 Jul 2026 10:26:22 -0500 Subject: [PATCH 35/42] modify serialization to handle inf, test roundtrip serialization for contextual vars --- xopt/pydantic.py | 51 +++++++++++++++++++ .../generators/bayesian/test_contextual_bo.py | 21 ++++++++ xopt/tests/test_pydantic.py | 9 ++++ 3 files changed, 81 insertions(+) diff --git a/xopt/pydantic.py b/xopt/pydantic.py index e584c30f8..ae1501c0a 100644 --- a/xopt/pydantic.py +++ b/xopt/pydantic.py @@ -59,6 +59,46 @@ } +def _serialize_non_finite_float(value: float | np.floating) -> str: + value = float(value) + if np.isnan(value): + return "nan" + if value > 0: + return "inf" + return "-inf" + + +def _serialize_list(values, base_key="", serialize_torch=False, serialize_inline=False): + serialized_values = [] + for i, item in enumerate(values): + list_key = f"{base_key}_{i}" if base_key else str(i) + + if isinstance(item, dict): + item = recursive_serialize( + item, list_key, serialize_torch, serialize_inline + ) + elif isinstance(item, list): + item = _serialize_list(item, list_key, serialize_torch, serialize_inline) + elif isinstance(item, (float, np.floating)) and not np.isfinite(float(item)): + item = _serialize_non_finite_float(item) + else: + for _type, func in JSON_ENCODERS.items(): + if isinstance(item, _type): + item = func(item) + + if isinstance(item, (float, np.floating)) and not np.isfinite(float(item)): + item = _serialize_non_finite_float(item) + + try: + json.dumps(item) + except (TypeError, OverflowError): + item = f"{item.__module__}.{item.__class__.__qualname__}" + + serialized_values.append(item) + + return serialized_values + + # The problem with v2 serialization is that model_serialize_json() does not accept kwargs # meaning whichever model method is decorated with @model_serializer cant adjust for 'base_key' # and other similar options - it renders native whole v2 scheme quite useless. We can still try @@ -80,6 +120,8 @@ def recursive_serialize( for key in list(v): if isinstance(v[key], dict): v[key] = recursive_serialize(v[key], key, serialize_torch, serialize_inline) + elif isinstance(v[key], list): + v[key] = _serialize_list(v[key], key, serialize_torch, serialize_inline) elif isinstance(v[key], torch.nn.Module): if serialize_torch: if serialize_inline: @@ -96,11 +138,20 @@ def recursive_serialize( v[key] = json.loads(v[key].to_json()) elif isinstance(v[key], set): v[key] = list(v[key]) + elif isinstance(v[key], (float, np.floating)) and not np.isfinite( + float(v[key]) + ): + v[key] = _serialize_non_finite_float(v[key]) else: for _type, func in JSON_ENCODERS.items(): if isinstance(v[key], _type): v[key] = func(v[key]) + if isinstance(v[key], (float, np.floating)) and not np.isfinite( + float(v[key]) + ): + v[key] = _serialize_non_finite_float(v[key]) + # check to make sure object has been serialized, # if not use a generic serializer try: diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index 3bdfbe1ee..316a24395 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -16,6 +16,13 @@ import numpy as np +def _contextual_eval_for_yaml_roundtrip(inputs): + x1 = torch.tensor(inputs["x1"]) + x2 = torch.tensor(0.5) + y = torch.sin(2 * 3.14 * x1) * torch.cos(2 * 3.14 * x2) + return {"y": y, "x2": x2} + + class TestContextualBO: @pytest.fixture(autouse=True) def setup(self): @@ -89,6 +96,20 @@ def test_xopt_step_with_contextual_variable(self, generator_class): xopt.evaluate_data(candidates) assert "x2" in xopt.data.columns + def test_xopt_yaml_roundtrip_with_contextual_variable(self): + vocs = VOCS( + variables={"x1": [0, 1], "x2": ContextualVariable()}, + objectives={"y": "MAXIMIZE"}, + ) + xopt = Xopt( + generator=UpperConfidenceBoundGenerator(vocs=vocs), + evaluator=Evaluator(function=_contextual_eval_for_yaml_roundtrip), + ) + + reloaded = Xopt.from_yaml(xopt.yaml()) + + assert isinstance(reloaded.vocs.variables["x2"], ContextualVariable) + def test_get_optimum_with_contextual_variable(self): """Test that get_optimum works correctly when contextual variables are present.""" generator = UpperConfidenceBoundGenerator(vocs=self.vocs) diff --git a/xopt/tests/test_pydantic.py b/xopt/tests/test_pydantic.py index bcb94d550..56625f25f 100644 --- a/xopt/tests/test_pydantic.py +++ b/xopt/tests/test_pydantic.py @@ -449,6 +449,15 @@ def test_orjson_dumps_and_loads(): assert isinstance(d, dict) +def test_orjson_dumps_preserves_non_finite_floats(): + class NonFiniteModel(XoptBaseModel): + values: list[float] = [-float("inf"), float("inf")] + + m = NonFiniteModel() + loaded = json.loads(orjson_dumps(m)) + assert loaded["values"] == ["-inf", "inf"] + + def test_process_and_encode_decode_torch_module(): mod = DummyTorchModule() with tempfile.TemporaryDirectory() as tmpdir: From 894cbc3ad1f1cb7e93694bb0abc8ade0cf79be1b Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 17 Jul 2026 10:36:05 -0500 Subject: [PATCH 36/42] Update pyproject.toml --- pyproject.toml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pyproject.toml b/pyproject.toml index e16ed71c5..0fbb7b02e 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -31,7 +31,7 @@ dependencies = [ "tqdm", "orjson", "matplotlib", - "gest-api" + "gest-api>=0.2" ] description = "Flexible optimization of arbitrary problems in Python." dynamic = [ "version" ] From d51e6c8021bf9af29c0da39da6c7ad33953f1ec4 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 17 Jul 2026 11:16:37 -0500 Subject: [PATCH 37/42] libensemble pinning --- pyproject.toml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pyproject.toml b/pyproject.toml index 0fbb7b02e..195d98fe2 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -54,7 +54,7 @@ dev = [ "pygments", "dask[distributed]", "mpi4py", - "libensemble", + "libensemble>=1.6.0", "nbconvert", "pre-commit", ] From d149432f33284ea2cc3b952b3b5910d6a17c738c Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 17 Jul 2026 11:33:36 -0500 Subject: [PATCH 38/42] make aposmm tests xfail until libensemble supports gest-api v0.2 --- xopt/tests/generators/external/test_aposmm.py | 32 +++++++++++++------ 1 file changed, 23 insertions(+), 9 deletions(-) diff --git a/xopt/tests/generators/external/test_aposmm.py b/xopt/tests/generators/external/test_aposmm.py index be1aec90f..a2a709a5d 100644 --- a/xopt/tests/generators/external/test_aposmm.py +++ b/xopt/tests/generators/external/test_aposmm.py @@ -1,5 +1,4 @@ import numpy as np -from libensemble.gen_classes.aposmm import APOSMM from xopt import Xopt from xopt import Evaluator from xopt.stopping_conditions import MaxEvaluationsCondition @@ -7,6 +6,12 @@ import pytest +pytestmark = pytest.mark.xfail( + reason="APOSMM is temporarily xfailed until libensemble is updated", + strict=False, +) + + def six_hump_camel_func(x): """Six-Hump Camel function definition""" x1 = x[0] @@ -53,9 +58,16 @@ def mapping(): } +@pytest.fixture +def aposmm_cls(): + from libensemble.gen_classes.aposmm import APOSMM + + return APOSMM + + class TestXoptPlusAPOSMM: - def test_init(self, vocs, evaluator, max_evaluations, mapping): - gen = APOSMM( + def test_init(self, vocs, evaluator, max_evaluations, mapping, aposmm_cls): + gen = aposmm_cls( vocs=vocs, max_active_runs=1, initial_sample_size=40, @@ -67,8 +79,8 @@ def test_init(self, vocs, evaluator, max_evaluations, mapping): stopping_condition=max_evaluations, ) - def test_run(self, vocs, evaluator, max_evaluations, mapping): - gen = APOSMM( + def test_run(self, vocs, evaluator, max_evaluations, mapping, aposmm_cls): + gen = aposmm_cls( vocs=vocs, max_active_runs=1, initial_sample_size=40, @@ -85,8 +97,10 @@ def test_run(self, vocs, evaluator, max_evaluations, mapping): "last 5 points should be local_pt, as communicated by APOSMM" ) - def test_random_evaluate(self, vocs, evaluator, max_evaluations, mapping): - gen = APOSMM( + def test_random_evaluate( + self, vocs, evaluator, max_evaluations, mapping, aposmm_cls + ): + gen = aposmm_cls( vocs=vocs, max_active_runs=1, initial_sample_size=40, @@ -114,8 +128,8 @@ def test_random_evaluate(self, vocs, evaluator, max_evaluations, mapping): "last point should be local_pt, as communicated by APOSMM" ) - def test_step(self, vocs, evaluator, max_evaluations, mapping): - gen = APOSMM( + def test_step(self, vocs, evaluator, max_evaluations, mapping, aposmm_cls): + gen = aposmm_cls( vocs=vocs, max_active_runs=1, initial_sample_size=40, From c8b8ef99f7fe1bcd941e975ce4042d91d2a180bc Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 17 Jul 2026 11:33:59 -0500 Subject: [PATCH 39/42] revert libensemble requirement --- pyproject.toml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pyproject.toml b/pyproject.toml index 195d98fe2..0fbb7b02e 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -54,7 +54,7 @@ dev = [ "pygments", "dask[distributed]", "mpi4py", - "libensemble>=1.6.0", + "libensemble", "nbconvert", "pre-commit", ] From 9602a024e656c3c32e9bd9d98517f0e661a26895 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 17 Jul 2026 11:56:59 -0500 Subject: [PATCH 40/42] add cov ignore for xfail tests --- xopt/tests/generators/external/test_aposmm.py | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/xopt/tests/generators/external/test_aposmm.py b/xopt/tests/generators/external/test_aposmm.py index a2a709a5d..d9cc8d9b6 100644 --- a/xopt/tests/generators/external/test_aposmm.py +++ b/xopt/tests/generators/external/test_aposmm.py @@ -12,7 +12,7 @@ ) -def six_hump_camel_func(x): +def six_hump_camel_func(x): # pragma: no cover """Six-Hump Camel function definition""" x1 = x[0] x2 = x[1] @@ -23,22 +23,22 @@ def six_hump_camel_func(x): return term1 + term2 + term3 -def evaluator_function(inputs): +def evaluator_function(inputs): # pragma: no cover return {"f": six_hump_camel_func([inputs["x0"], inputs["x1"]])} @pytest.fixture -def evaluator(): +def evaluator(): # pragma: no cover return Evaluator(function=evaluator_function) @pytest.fixture -def max_evaluations(): +def max_evaluations(): # pragma: no cover return MaxEvaluationsCondition(max_evaluations=45) @pytest.fixture -def vocs(): +def vocs(): # pragma: no cover return VOCS( variables={ "x0": [-2.0, 2.0], @@ -51,7 +51,7 @@ def vocs(): @pytest.fixture -def mapping(): +def mapping(): # pragma: no cover return { "x": ["x0", "x1"], "x_on_cube": ["x0_on_cube", "x1_on_cube"], @@ -59,13 +59,13 @@ def mapping(): @pytest.fixture -def aposmm_cls(): +def aposmm_cls(): # pragma: no cover from libensemble.gen_classes.aposmm import APOSMM return APOSMM -class TestXoptPlusAPOSMM: +class TestXoptPlusAPOSMM: # pragma: no cover def test_init(self, vocs, evaluator, max_evaluations, mapping, aposmm_cls): gen = aposmm_cls( vocs=vocs, From 3dbf210352f4ba1e48a5ebe9d2cfc7aaadf81010 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 17 Jul 2026 12:57:56 -0500 Subject: [PATCH 41/42] reduce if branches to max coverage --- .../generators/bayesian/test_contextual_bo.py | 34 ++++++------------- 1 file changed, 10 insertions(+), 24 deletions(-) diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index 316a24395..15ba87aa8 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -17,10 +17,7 @@ def _contextual_eval_for_yaml_roundtrip(inputs): - x1 = torch.tensor(inputs["x1"]) - x2 = torch.tensor(0.5) - y = torch.sin(2 * 3.14 * x1) * torch.cos(2 * 3.14 * x2) - return {"y": y, "x2": x2} + pass # pragma: no cover class TestContextualBO: @@ -87,10 +84,8 @@ def test_xopt_step_with_contextual_variable(self, generator_class): # Generated candidates should only include controllable variables. candidates = xopt.generator.generate(1) - if isinstance(candidates, list): - assert all("x2" not in candidate for candidate in candidates) - else: - assert "x2" not in candidates.columns + assert all("x2" not in candidate for candidate in candidates) + # Evaluation should succeed without requiring contextual inputs. xopt.evaluate_data(candidates) @@ -246,18 +241,12 @@ def test_generate_with_contextual_and_fixed_features(self, generator_class): generator.train_model() candidates = generator.generate(2) - if isinstance(candidates, list): - assert all("x1" in candidate for candidate in candidates) - assert all("x2" not in candidate for candidate in candidates) - assert all("x3" in candidate for candidate in candidates) - assert all(np.isclose(candidate["x3"], 0.25) for candidate in candidates) - assert all(0.0 <= candidate["x1"] <= 1.0 for candidate in candidates) - else: - assert "x1" in candidates.columns - assert "x2" not in candidates.columns - assert "x3" in candidates.columns - assert np.allclose(candidates["x3"].to_numpy(), 0.25) - assert candidates["x1"].between(0.0, 1.0).all() + assert all("x1" in candidate for candidate in candidates) + assert all("x2" not in candidate for candidate in candidates) + assert all("x3" in candidate for candidate in candidates) + assert all(np.isclose(candidate["x3"], 0.25) for candidate in candidates) + assert all(0.0 <= candidate["x1"] <= 1.0 for candidate in candidates) + def test_convert_dataframe_to_inputs_error_message_contextual(self): """The error message when input columns mismatch must mention non-contextual @@ -303,10 +292,7 @@ def test_contextual_variable_with_turbo_controller(self): # Candidate generation should exclude contextual variables. candidates = generator.generate(1) - if isinstance(candidates, list): - assert all("x2" not in candidate for candidate in candidates) - else: - assert "x2" not in candidates.columns + assert all("x2" not in candidate for candidate in candidates) def test_bayesian_generator_contextual_support_flag(self): """Bayesian generators must reject contextual variables when support is disabled.""" From df23861ce2bb858bc4557d6acdc90e6ebc797791 Mon Sep 17 00:00:00 2001 From: Ryan Roussel Date: Fri, 17 Jul 2026 12:59:26 -0500 Subject: [PATCH 42/42] linting --- xopt/tests/generators/bayesian/test_contextual_bo.py | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/xopt/tests/generators/bayesian/test_contextual_bo.py b/xopt/tests/generators/bayesian/test_contextual_bo.py index 15ba87aa8..ba98f9945 100644 --- a/xopt/tests/generators/bayesian/test_contextual_bo.py +++ b/xopt/tests/generators/bayesian/test_contextual_bo.py @@ -17,7 +17,7 @@ def _contextual_eval_for_yaml_roundtrip(inputs): - pass # pragma: no cover + pass # pragma: no cover class TestContextualBO: @@ -86,7 +86,6 @@ def test_xopt_step_with_contextual_variable(self, generator_class): candidates = xopt.generator.generate(1) assert all("x2" not in candidate for candidate in candidates) - # Evaluation should succeed without requiring contextual inputs. xopt.evaluate_data(candidates) assert "x2" in xopt.data.columns @@ -247,7 +246,6 @@ def test_generate_with_contextual_and_fixed_features(self, generator_class): assert all(np.isclose(candidate["x3"], 0.25) for candidate in candidates) assert all(0.0 <= candidate["x1"] <= 1.0 for candidate in candidates) - def test_convert_dataframe_to_inputs_error_message_contextual(self): """The error message when input columns mismatch must mention non-contextual variables so users are not confused by contextual variables being absent."""