Optimizing the Unknown: Black Box Bayesian Optimization with Energy-Based Model and Reinforcement Learning

Fuente: arXiv
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Auteurs principaux: Miao, Ruiyao, Xiao, Junren, Tsang, Shiya, Xiong, Hui, Wu, Yingnian
Format: Preprint
Publié: 2025
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author Miao, Ruiyao
Xiao, Junren
Tsang, Shiya
Xiong, Hui
Wu, Yingnian
author_facet Miao, Ruiyao
Xiao, Junren
Tsang, Shiya
Xiong, Hui
Wu, Yingnian
contents Existing Bayesian Optimization (BO) methods typically balance exploration and exploitation to optimize costly objective functions. However, these methods often suffer from a significant one-step bias, which may lead to convergence towards local optima and poor performance in complex or high-dimensional tasks. Recently, Black-Box Optimization (BBO) has achieved success across various scientific and engineering domains, particularly when function evaluations are costly and gradients are unavailable. Motivated by this, we propose the Reinforced Energy-Based Model for Bayesian Optimization (REBMBO), which integrates Gaussian Processes (GP) for local guidance with an Energy-Based Model (EBM) to capture global structural information. Notably, we define each Bayesian Optimization iteration as a Markov Decision Process (MDP) and use Proximal Policy Optimization (PPO) for adaptive multi-step lookahead, dynamically adjusting the depth and direction of exploration to effectively overcome the limitations of traditional BO methods. We conduct extensive experiments on synthetic and real-world benchmarks, confirming the superior performance of REBMBO. Additional analyses across various GP configurations further highlight its adaptability and robustness.
format Preprint
id arxiv_https___arxiv_org_abs_2510_19530
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimizing the Unknown: Black Box Bayesian Optimization with Energy-Based Model and Reinforcement Learning
Miao, Ruiyao
Xiao, Junren
Tsang, Shiya
Xiong, Hui
Wu, Yingnian
Machine Learning
Artificial Intelligence
Existing Bayesian Optimization (BO) methods typically balance exploration and exploitation to optimize costly objective functions. However, these methods often suffer from a significant one-step bias, which may lead to convergence towards local optima and poor performance in complex or high-dimensional tasks. Recently, Black-Box Optimization (BBO) has achieved success across various scientific and engineering domains, particularly when function evaluations are costly and gradients are unavailable. Motivated by this, we propose the Reinforced Energy-Based Model for Bayesian Optimization (REBMBO), which integrates Gaussian Processes (GP) for local guidance with an Energy-Based Model (EBM) to capture global structural information. Notably, we define each Bayesian Optimization iteration as a Markov Decision Process (MDP) and use Proximal Policy Optimization (PPO) for adaptive multi-step lookahead, dynamically adjusting the depth and direction of exploration to effectively overcome the limitations of traditional BO methods. We conduct extensive experiments on synthetic and real-world benchmarks, confirming the superior performance of REBMBO. Additional analyses across various GP configurations further highlight its adaptability and robustness.
title Optimizing the Unknown: Black Box Bayesian Optimization with Energy-Based Model and Reinforcement Learning
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2510.19530