FigBO: A Generalized Acquisition Function Framework with Look-Ahead Capability for Bayesian Optimization

Fuente: arXiv
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Autores principales: Chen, Hui, Fan, Xuhui, Wu, Zhangkai, Cao, Longbing
Formato: Preprint
Publicado: 2025
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author Chen, Hui
Fan, Xuhui
Wu, Zhangkai
Cao, Longbing
author_facet Chen, Hui
Fan, Xuhui
Wu, Zhangkai
Cao, Longbing
contents Bayesian optimization is a powerful technique for optimizing expensive-to-evaluate black-box functions, consisting of two main components: a surrogate model and an acquisition function. In recent years, myopic acquisition functions have been widely adopted for their simplicity and effectiveness. However, their lack of look-ahead capability limits their performance. To address this limitation, we propose FigBO, a generalized acquisition function that incorporates the future impact of candidate points on global information gain. FigBO is a plug-and-play method that can integrate seamlessly with most existing myopic acquisition functions. Theoretically, we analyze the regret bound and convergence rate of FigBO when combined with the myopic base acquisition function expected improvement (EI), comparing them to those of standard EI. Empirically, extensive experimental results across diverse tasks demonstrate that FigBO achieves state-of-the-art performance and significantly faster convergence compared to existing methods.
format Preprint
id arxiv_https___arxiv_org_abs_2504_20307
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle FigBO: A Generalized Acquisition Function Framework with Look-Ahead Capability for Bayesian Optimization
Chen, Hui
Fan, Xuhui
Wu, Zhangkai
Cao, Longbing
Machine Learning
Bayesian optimization is a powerful technique for optimizing expensive-to-evaluate black-box functions, consisting of two main components: a surrogate model and an acquisition function. In recent years, myopic acquisition functions have been widely adopted for their simplicity and effectiveness. However, their lack of look-ahead capability limits their performance. To address this limitation, we propose FigBO, a generalized acquisition function that incorporates the future impact of candidate points on global information gain. FigBO is a plug-and-play method that can integrate seamlessly with most existing myopic acquisition functions. Theoretically, we analyze the regret bound and convergence rate of FigBO when combined with the myopic base acquisition function expected improvement (EI), comparing them to those of standard EI. Empirically, extensive experimental results across diverse tasks demonstrate that FigBO achieves state-of-the-art performance and significantly faster convergence compared to existing methods.
title FigBO: A Generalized Acquisition Function Framework with Look-Ahead Capability for Bayesian Optimization
topic Machine Learning
url https://arxiv.org/abs/2504.20307