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Main Authors: Du, Yukun, Yu, Haiyue, Xie, Xiaotong, Zheng, Yan, Zhan, Lixin, Du, Yudong, Hu, Chongshuang, Wang, Boxuan, Jiang, Jiang
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.15551
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author Du, Yukun
Yu, Haiyue
Xie, Xiaotong
Zheng, Yan
Zhan, Lixin
Du, Yudong
Hu, Chongshuang
Wang, Boxuan
Jiang, Jiang
author_facet Du, Yukun
Yu, Haiyue
Xie, Xiaotong
Zheng, Yan
Zhan, Lixin
Du, Yudong
Hu, Chongshuang
Wang, Boxuan
Jiang, Jiang
contents Surrogate-Assisted Evolutionary Algorithms (SAEAs) are widely used for expensive Black-Box Optimization. However, their reliance on rigid, manually designed components such as infill criteria and evolutionary strategies during the search process limits their flexibility across tasks. To address these limitations, we propose Dual-Control Bi-Space Surrogate-Assisted Evolutionary Algorithm (DB-SAEA), a Meta-Black-Box Optimization (MetaBBO) framework tailored for multi-objective problems. DB-SAEA learns a meta-policy that jointly regulates candidate generation and infill criterion selection, enabling dual control. The bi-space Exploratory Landscape Analysis (ELA) module in DB-SAEA adopts an attention-based architecture to capture optimization states from both true and surrogate evaluation spaces, while ensuring scalability across problem dimensions, population sizes, and objectives. Additionally, we integrate TabPFN as the surrogate model for accurate and efficient prediction with uncertainty estimation. The framework is trained via reinforcement learning, leveraging parallel sampling and centralized training to enhance efficiency and transferability across tasks. Experimental results demonstrate that DB-SAEA not only outperforms state-of-the-art baselines across diverse benchmarks, but also exhibits strong zero-shot transfer to unseen tasks with higher-dimensional settings. This work introduces the first MetaBBO framework with dual-level control over SAEAs and a bi-space ELA that captures surrogate model information.
format Preprint
id arxiv_https___arxiv_org_abs_2511_15551
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Meta-Black-Box Optimization with Bi-Space Landscape Analysis and Dual-Control Mechanism for SAEA
Du, Yukun
Yu, Haiyue
Xie, Xiaotong
Zheng, Yan
Zhan, Lixin
Du, Yudong
Hu, Chongshuang
Wang, Boxuan
Jiang, Jiang
Neural and Evolutionary Computing
Surrogate-Assisted Evolutionary Algorithms (SAEAs) are widely used for expensive Black-Box Optimization. However, their reliance on rigid, manually designed components such as infill criteria and evolutionary strategies during the search process limits their flexibility across tasks. To address these limitations, we propose Dual-Control Bi-Space Surrogate-Assisted Evolutionary Algorithm (DB-SAEA), a Meta-Black-Box Optimization (MetaBBO) framework tailored for multi-objective problems. DB-SAEA learns a meta-policy that jointly regulates candidate generation and infill criterion selection, enabling dual control. The bi-space Exploratory Landscape Analysis (ELA) module in DB-SAEA adopts an attention-based architecture to capture optimization states from both true and surrogate evaluation spaces, while ensuring scalability across problem dimensions, population sizes, and objectives. Additionally, we integrate TabPFN as the surrogate model for accurate and efficient prediction with uncertainty estimation. The framework is trained via reinforcement learning, leveraging parallel sampling and centralized training to enhance efficiency and transferability across tasks. Experimental results demonstrate that DB-SAEA not only outperforms state-of-the-art baselines across diverse benchmarks, but also exhibits strong zero-shot transfer to unseen tasks with higher-dimensional settings. This work introduces the first MetaBBO framework with dual-level control over SAEAs and a bi-space ELA that captures surrogate model information.
title Meta-Black-Box Optimization with Bi-Space Landscape Analysis and Dual-Control Mechanism for SAEA
topic Neural and Evolutionary Computing
url https://arxiv.org/abs/2511.15551