Evolutionary Preference Sampling for Pareto Set Learning

Fuente: arXiv
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Autores principales: Ye, Rongguang, Chen, Longcan, Zhang, Jinyuan, Ishibuchi, Hisao
Formato: Preprint
Publicado: 2024
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author Ye, Rongguang
Chen, Longcan
Zhang, Jinyuan
Ishibuchi, Hisao
author_facet Ye, Rongguang
Chen, Longcan
Zhang, Jinyuan
Ishibuchi, Hisao
contents Recently, Pareto Set Learning (PSL) has been proposed for learning the entire Pareto set using a neural network. PSL employs preference vectors to scalarize multiple objectives, facilitating the learning of mappings from preference vectors to specific Pareto optimal solutions. Previous PSL methods have shown their effectiveness in solving artificial multi-objective optimization problems (MOPs) with uniform preference vector sampling. The quality of the learned Pareto set is influenced by the sampling strategy of the preference vector, and the sampling of the preference vector needs to be decided based on the Pareto front shape. However, a fixed preference sampling strategy cannot simultaneously adapt the Pareto front of multiple MOPs. To address this limitation, this paper proposes an Evolutionary Preference Sampling (EPS) strategy to efficiently sample preference vectors. Inspired by evolutionary algorithms, we consider preference sampling as an evolutionary process to generate preference vectors for neural network training. We integrate the EPS strategy into five advanced PSL methods. Extensive experiments demonstrate that our proposed method has a faster convergence speed than baseline algorithms on 7 testing problems. Our implementation is available at https://github.com/rG223/EPS.
format Preprint
id arxiv_https___arxiv_org_abs_2404_08414
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Evolutionary Preference Sampling for Pareto Set Learning
Ye, Rongguang
Chen, Longcan
Zhang, Jinyuan
Ishibuchi, Hisao
Neural and Evolutionary Computing
Artificial Intelligence
Recently, Pareto Set Learning (PSL) has been proposed for learning the entire Pareto set using a neural network. PSL employs preference vectors to scalarize multiple objectives, facilitating the learning of mappings from preference vectors to specific Pareto optimal solutions. Previous PSL methods have shown their effectiveness in solving artificial multi-objective optimization problems (MOPs) with uniform preference vector sampling. The quality of the learned Pareto set is influenced by the sampling strategy of the preference vector, and the sampling of the preference vector needs to be decided based on the Pareto front shape. However, a fixed preference sampling strategy cannot simultaneously adapt the Pareto front of multiple MOPs. To address this limitation, this paper proposes an Evolutionary Preference Sampling (EPS) strategy to efficiently sample preference vectors. Inspired by evolutionary algorithms, we consider preference sampling as an evolutionary process to generate preference vectors for neural network training. We integrate the EPS strategy into five advanced PSL methods. Extensive experiments demonstrate that our proposed method has a faster convergence speed than baseline algorithms on 7 testing problems. Our implementation is available at https://github.com/rG223/EPS.
title Evolutionary Preference Sampling for Pareto Set Learning
topic Neural and Evolutionary Computing
Artificial Intelligence
url https://arxiv.org/abs/2404.08414