Transfer Learning for Bayesian Optimization on Heterogeneous Search Spaces

Fuente: arXiv
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Autores principales: Fan, Zhou, Han, Xinran, Wang, Zi
Formato: Preprint
Publicado: 2023
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author Fan, Zhou
Han, Xinran
Wang, Zi
author_facet Fan, Zhou
Han, Xinran
Wang, Zi
contents Bayesian optimization (BO) is a popular black-box function optimization method, which makes sequential decisions based on a Bayesian model, typically a Gaussian process (GP), of the function. To ensure the quality of the model, transfer learning approaches have been developed to automatically design GP priors by learning from observations on "training" functions. These training functions are typically required to have the same domain as the "test" function (black-box function to be optimized). In this paper, we introduce MPHD, a model pre-training method on heterogeneous domains, which uses a neural net mapping from domain-specific contexts to specifications of hierarchical GPs. MPHD can be seamlessly integrated with BO to transfer knowledge across heterogeneous search spaces. Our theoretical and empirical results demonstrate the validity of MPHD and its superior performance on challenging black-box function optimization tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2309_16597
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Transfer Learning for Bayesian Optimization on Heterogeneous Search Spaces
Fan, Zhou
Han, Xinran
Wang, Zi
Machine Learning
Artificial Intelligence
Bayesian optimization (BO) is a popular black-box function optimization method, which makes sequential decisions based on a Bayesian model, typically a Gaussian process (GP), of the function. To ensure the quality of the model, transfer learning approaches have been developed to automatically design GP priors by learning from observations on "training" functions. These training functions are typically required to have the same domain as the "test" function (black-box function to be optimized). In this paper, we introduce MPHD, a model pre-training method on heterogeneous domains, which uses a neural net mapping from domain-specific contexts to specifications of hierarchical GPs. MPHD can be seamlessly integrated with BO to transfer knowledge across heterogeneous search spaces. Our theoretical and empirical results demonstrate the validity of MPHD and its superior performance on challenging black-box function optimization tasks.
title Transfer Learning for Bayesian Optimization on Heterogeneous Search Spaces
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2309.16597