Composite Indicator-Guided Infilling Sampling for Expensive Multi-Objective Optimization

Fuente: arXiv
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Main Authors: Zhen, Huixiang, Li, Xiaotong, Gong, Wenyin, Hu, Xiangyun
Format: Preprint
Published: 2025
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author Zhen, Huixiang
Li, Xiaotong
Gong, Wenyin
Hu, Xiangyun
author_facet Zhen, Huixiang
Li, Xiaotong
Gong, Wenyin
Hu, Xiangyun
contents In expensive multi-objective optimization, where the evaluation budget is strictly limited, selecting promising candidate solutions for expensive fitness evaluations is critical for accelerating convergence and improving algorithmic performance. However, designing an optimization strategy that effectively balances convergence, diversity, and distribution remains a challenge. To tackle this issue, we propose a composite indicator-based evolutionary algorithm (CI-EMO) for expensive multi-objective optimization. In each generation of the optimization process, CI-EMO first employs NSGA-III to explore the solution space based on fitness values predicted by surrogate models, generating a candidate population. Subsequently, we design a novel composite performance indicator to guide the selection of candidates for real fitness evaluation. This indicator simultaneously considers convergence, diversity, and distribution to improve the efficiency of identifying promising candidate solutions, which significantly improves algorithm performance. The composite indicator-based candidate selection strategy is easy to achieve and computes efficiency. Component analysis experiments confirm the effectiveness of each element in the composite performance indicator. Comparative experiments on three benchmark test sets and real-world problems demonstrate that the proposed algorithm outperforms five state-of-the-art expensive multi-objective optimization algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2503_22224
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Composite Indicator-Guided Infilling Sampling for Expensive Multi-Objective Optimization
Zhen, Huixiang
Li, Xiaotong
Gong, Wenyin
Hu, Xiangyun
Neural and Evolutionary Computing
In expensive multi-objective optimization, where the evaluation budget is strictly limited, selecting promising candidate solutions for expensive fitness evaluations is critical for accelerating convergence and improving algorithmic performance. However, designing an optimization strategy that effectively balances convergence, diversity, and distribution remains a challenge. To tackle this issue, we propose a composite indicator-based evolutionary algorithm (CI-EMO) for expensive multi-objective optimization. In each generation of the optimization process, CI-EMO first employs NSGA-III to explore the solution space based on fitness values predicted by surrogate models, generating a candidate population. Subsequently, we design a novel composite performance indicator to guide the selection of candidates for real fitness evaluation. This indicator simultaneously considers convergence, diversity, and distribution to improve the efficiency of identifying promising candidate solutions, which significantly improves algorithm performance. The composite indicator-based candidate selection strategy is easy to achieve and computes efficiency. Component analysis experiments confirm the effectiveness of each element in the composite performance indicator. Comparative experiments on three benchmark test sets and real-world problems demonstrate that the proposed algorithm outperforms five state-of-the-art expensive multi-objective optimization algorithms.
title Composite Indicator-Guided Infilling Sampling for Expensive Multi-Objective Optimization
topic Neural and Evolutionary Computing
url https://arxiv.org/abs/2503.22224