APLOT: Robust Reward Modeling via Adaptive Preference Learning with Optimal Transport

Fuente: arXiv
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Main Authors: Li, Zhuo, Feng, Yuege, Guo, Dandan, Hu, Jinpeng, Gao, Anningzhe, Wan, Xiang
Format: Preprint
Published: 2025
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author Li, Zhuo
Feng, Yuege
Guo, Dandan
Hu, Jinpeng
Gao, Anningzhe
Wan, Xiang
author_facet Li, Zhuo
Feng, Yuege
Guo, Dandan
Hu, Jinpeng
Gao, Anningzhe
Wan, Xiang
contents The reward model (RM) plays a crucial role in aligning Large Language Models (LLMs) with human preferences through Reinforcement Learning, where the Bradley-Terry (BT) objective has been recognized as simple yet powerful, specifically for pairwise preference learning. However, BT-based RMs often struggle to effectively distinguish between similar preference responses, leading to insufficient separation between preferred and non-preferred outputs. Consequently, they may easily overfit easy samples and cannot generalize well to Out-Of-Distribution (OOD) samples, resulting in suboptimal performance. To address these challenges, this paper introduces an effective enhancement to BT-based RMs through an adaptive margin mechanism. Specifically, we design to dynamically adjust the RM focus on more challenging samples through margins, based on both semantic similarity and model-predicted reward differences, which is approached from a distributional perspective solvable with Optimal Transport (OT). By incorporating these factors into a principled OT cost matrix design, our adaptive margin enables the RM to better capture distributional differences between chosen and rejected responses, yielding significant improvements in performance, convergence speed, and generalization capabilities. Experimental results across multiple benchmarks demonstrate that our method outperforms several existing RM techniques, showcasing enhanced performance in both In-Distribution (ID) and OOD settings. Moreover, RLHF experiments support our practical effectiveness in better aligning LLMs with human preferences. Our code is available at https://github.com/BIRlz/APLOT
format Preprint
id arxiv_https___arxiv_org_abs_2510_10963
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle APLOT: Robust Reward Modeling via Adaptive Preference Learning with Optimal Transport
Li, Zhuo
Feng, Yuege
Guo, Dandan
Hu, Jinpeng
Gao, Anningzhe
Wan, Xiang
Machine Learning
Artificial Intelligence
The reward model (RM) plays a crucial role in aligning Large Language Models (LLMs) with human preferences through Reinforcement Learning, where the Bradley-Terry (BT) objective has been recognized as simple yet powerful, specifically for pairwise preference learning. However, BT-based RMs often struggle to effectively distinguish between similar preference responses, leading to insufficient separation between preferred and non-preferred outputs. Consequently, they may easily overfit easy samples and cannot generalize well to Out-Of-Distribution (OOD) samples, resulting in suboptimal performance. To address these challenges, this paper introduces an effective enhancement to BT-based RMs through an adaptive margin mechanism. Specifically, we design to dynamically adjust the RM focus on more challenging samples through margins, based on both semantic similarity and model-predicted reward differences, which is approached from a distributional perspective solvable with Optimal Transport (OT). By incorporating these factors into a principled OT cost matrix design, our adaptive margin enables the RM to better capture distributional differences between chosen and rejected responses, yielding significant improvements in performance, convergence speed, and generalization capabilities. Experimental results across multiple benchmarks demonstrate that our method outperforms several existing RM techniques, showcasing enhanced performance in both In-Distribution (ID) and OOD settings. Moreover, RLHF experiments support our practical effectiveness in better aligning LLMs with human preferences. Our code is available at https://github.com/BIRlz/APLOT
title APLOT: Robust Reward Modeling via Adaptive Preference Learning with Optimal Transport
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2510.10963