Source code for botorch.sampling.pathwise.prior_samplers

#!/usr/bin/env python3
# Copyright (c) Meta Platforms, Inc. and affiliates.
#
# This source code is licensed under the MIT license found in the
# LICENSE file in the root directory of this source tree.

from __future__ import annotations

from typing import Any, Callable, List, Optional

from botorch.models.approximate_gp import ApproximateGPyTorchModel
from botorch.models.model_list_gp_regression import ModelListGP
from botorch.sampling.pathwise.features import gen_kernel_features
from botorch.sampling.pathwise.features.generators import TKernelFeatureMapGenerator
from botorch.sampling.pathwise.paths import GeneralizedLinearPath, PathList, SamplePath
from botorch.sampling.pathwise.utils import (
    get_input_transform,
    get_output_transform,
    get_train_inputs,
    TInputTransform,
    TOutputTransform,
)
from botorch.utils.dispatcher import Dispatcher
from botorch.utils.sampling import draw_sobol_normal_samples
from gpytorch.kernels import Kernel
from gpytorch.models import ApproximateGP, ExactGP, GP
from gpytorch.variational import _VariationalStrategy
from torch import Size, Tensor
from torch.nn import Module

TPathwisePriorSampler = Callable[[GP, Size], SamplePath]
DrawKernelFeaturePaths = Dispatcher("draw_kernel_feature_paths")


[docs] def draw_kernel_feature_paths( model: GP, sample_shape: Size, **kwargs: Any ) -> GeneralizedLinearPath: r"""Draws functions from a Bayesian-linear-model-based approximation to a GP prior. When evaluted, sample paths produced by this method return Tensors with dimensions `sample_dims x batch_dims x [joint_dim]`, where `joint_dim` denotes the penultimate dimension of the input tensor. For multioutput models, outputs are returned as the final batch dimension. Args: model: The prior over functions. sample_shape: The shape of the sample paths to be drawn. """ return DrawKernelFeaturePaths(model, sample_shape=sample_shape, **kwargs)
def _draw_kernel_feature_paths_fallback( num_inputs: int, mean_module: Optional[Module], covar_module: Kernel, sample_shape: Size, num_features: int = 1024, map_generator: TKernelFeatureMapGenerator = gen_kernel_features, input_transform: Optional[TInputTransform] = None, output_transform: Optional[TOutputTransform] = None, weight_generator: Optional[Callable[[Size], Tensor]] = None, ) -> GeneralizedLinearPath: # Generate a kernel feature map feature_map = map_generator( kernel=covar_module, num_inputs=num_inputs, num_outputs=num_features, ) # Sample random weights with which to combine kernel features if weight_generator is None: weight = draw_sobol_normal_samples( n=sample_shape.numel() * covar_module.batch_shape.numel(), d=feature_map.num_outputs, device=covar_module.device, dtype=covar_module.dtype, ).reshape(sample_shape + covar_module.batch_shape + (feature_map.num_outputs,)) else: weight = weight_generator( sample_shape + covar_module.batch_shape + (feature_map.num_outputs,) ).to(device=covar_module.device, dtype=covar_module.dtype) # Return the sample paths return GeneralizedLinearPath( feature_map=feature_map, weight=weight, bias_module=mean_module, input_transform=input_transform, output_transform=output_transform, ) @DrawKernelFeaturePaths.register(ExactGP) def _draw_kernel_feature_paths_ExactGP( model: ExactGP, **kwargs: Any ) -> GeneralizedLinearPath: (train_X,) = get_train_inputs(model, transformed=False) return _draw_kernel_feature_paths_fallback( num_inputs=train_X.shape[-1], mean_module=model.mean_module, covar_module=model.covar_module, input_transform=get_input_transform(model), output_transform=get_output_transform(model), **kwargs, ) @DrawKernelFeaturePaths.register(ModelListGP) def _draw_kernel_feature_paths_list( model: ModelListGP, join: Optional[Callable[[List[Tensor]], Tensor]] = None, **kwargs: Any, ) -> PathList: paths = [draw_kernel_feature_paths(m, **kwargs) for m in model.models] return PathList(paths=paths, join=join) @DrawKernelFeaturePaths.register(ApproximateGPyTorchModel) def _draw_kernel_feature_paths_ApproximateGPyTorchModel( model: ApproximateGPyTorchModel, **kwargs: Any ) -> GeneralizedLinearPath: (train_X,) = get_train_inputs(model, transformed=False) return DrawKernelFeaturePaths( model.model, num_inputs=train_X.shape[-1], input_transform=get_input_transform(model), output_transform=get_output_transform(model), **kwargs, ) @DrawKernelFeaturePaths.register(ApproximateGP) def _draw_kernel_feature_paths_ApproximateGP( model: ApproximateGP, **kwargs: Any ) -> GeneralizedLinearPath: return DrawKernelFeaturePaths(model, model.variational_strategy, **kwargs) @DrawKernelFeaturePaths.register(ApproximateGP, _VariationalStrategy) def _draw_kernel_feature_paths_ApproximateGP_fallback( model: ApproximateGP, _: _VariationalStrategy, *, num_inputs: int, **kwargs: Any, ) -> GeneralizedLinearPath: return _draw_kernel_feature_paths_fallback( num_inputs=num_inputs, mean_module=model.mean_module, covar_module=model.covar_module, **kwargs, )