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BoTorch: A Framework for Efficient Monte-Carlo Bayesian Optimization

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arxiv 1910.06403 v3 pith:4NDRJ75T submitted 2019-10-14 cs.LG cs.DCmath.OCstat.ML

BoTorch: A Framework for Efficient Monte-Carlo Bayesian Optimization

classification cs.LG cs.DCmath.OCstat.ML
keywords optimizationbotorchbayesiannovelacquisitionapproachdesignframework
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Bayesian optimization provides sample-efficient global optimization for a broad range of applications, including automatic machine learning, engineering, physics, and experimental design. We introduce BoTorch, a modern programming framework for Bayesian optimization that combines Monte-Carlo (MC) acquisition functions, a novel sample average approximation optimization approach, auto-differentiation, and variance reduction techniques. BoTorch's modular design facilitates flexible specification and optimization of probabilistic models written in PyTorch, simplifying implementation of new acquisition functions. Our approach is backed by novel theoretical convergence results and made practical by a distinctive algorithmic foundation that leverages fast predictive distributions, hardware acceleration, and deterministic optimization. We also propose a novel "one-shot" formulation of the Knowledge Gradient, enabled by a combination of our theoretical and software contributions. In experiments, we demonstrate the improved sample efficiency of BoTorch relative to other popular libraries.

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