Bradley-Terry and Multi-Objective Reward Modeling Are Complementary

Fuente: arXiv
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Autores principales: Zhang, Zhiwei, Liu, Hui, Li, Xiaomin, Dai, Zhenwei, Zeng, Jingying, Wang, Fali, Lin, Minhua, Chandradevan, Ramraj, Li, Zhen, Luo, Chen, Tang, Xianfeng, He, Qi, Wang, Suhang
Formato: Preprint
Publicado: 2025
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author Zhang, Zhiwei
Liu, Hui
Li, Xiaomin
Dai, Zhenwei
Zeng, Jingying
Wang, Fali
Lin, Minhua
Chandradevan, Ramraj
Li, Zhen
Luo, Chen
Tang, Xianfeng
He, Qi
Wang, Suhang
author_facet Zhang, Zhiwei
Liu, Hui
Li, Xiaomin
Dai, Zhenwei
Zeng, Jingying
Wang, Fali
Lin, Minhua
Chandradevan, Ramraj
Li, Zhen
Luo, Chen
Tang, Xianfeng
He, Qi
Wang, Suhang
contents Reward models trained on human preference data have demonstrated strong effectiveness in aligning Large Language Models (LLMs) with human intent under the framework of Reinforcement Learning from Human Feedback (RLHF). However, RLHF remains vulnerable to reward hacking, where the policy exploits imperfections in the reward function rather than genuinely learning the intended behavior. Although significant efforts have been made to mitigate reward hacking, they predominantly focus on and evaluate in-distribution scenarios, where the training and testing data for the reward model share the same distribution. In this paper, we empirically show that state-of-the-art methods struggle in more challenging out-of-distribution (OOD) settings. We further demonstrate that incorporating fine-grained multi-attribute scores helps address this challenge. However, the limited availability of high-quality data often leads to weak performance of multi-objective reward functions, which can negatively impact overall performance and become the bottleneck. To address this issue, we propose a unified reward modeling framework that jointly trains Bradley--Terry (BT) single-objective and multi-objective regression-based reward functions using a shared embedding space. We theoretically establish a connection between the BT loss and the regression objective and highlight their complementary benefits. Specifically, the regression task enhances the single-objective reward function's ability to mitigate reward hacking in challenging OOD settings, while BT-based training improves the scoring capability of the multi-objective reward function, enabling a 7B model to outperform a 70B baseline. Extensive experimental results demonstrate that our framework significantly improves both the robustness and the scoring performance of reward models.
format Preprint
id arxiv_https___arxiv_org_abs_2507_07375
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bradley-Terry and Multi-Objective Reward Modeling Are Complementary
Zhang, Zhiwei
Liu, Hui
Li, Xiaomin
Dai, Zhenwei
Zeng, Jingying
Wang, Fali
Lin, Minhua
Chandradevan, Ramraj
Li, Zhen
Luo, Chen
Tang, Xianfeng
He, Qi
Wang, Suhang
Machine Learning
Computation and Language
Reward models trained on human preference data have demonstrated strong effectiveness in aligning Large Language Models (LLMs) with human intent under the framework of Reinforcement Learning from Human Feedback (RLHF). However, RLHF remains vulnerable to reward hacking, where the policy exploits imperfections in the reward function rather than genuinely learning the intended behavior. Although significant efforts have been made to mitigate reward hacking, they predominantly focus on and evaluate in-distribution scenarios, where the training and testing data for the reward model share the same distribution. In this paper, we empirically show that state-of-the-art methods struggle in more challenging out-of-distribution (OOD) settings. We further demonstrate that incorporating fine-grained multi-attribute scores helps address this challenge. However, the limited availability of high-quality data often leads to weak performance of multi-objective reward functions, which can negatively impact overall performance and become the bottleneck. To address this issue, we propose a unified reward modeling framework that jointly trains Bradley--Terry (BT) single-objective and multi-objective regression-based reward functions using a shared embedding space. We theoretically establish a connection between the BT loss and the regression objective and highlight their complementary benefits. Specifically, the regression task enhances the single-objective reward function's ability to mitigate reward hacking in challenging OOD settings, while BT-based training improves the scoring capability of the multi-objective reward function, enabling a 7B model to outperform a 70B baseline. Extensive experimental results demonstrate that our framework significantly improves both the robustness and the scoring performance of reward models.
title Bradley-Terry and Multi-Objective Reward Modeling Are Complementary
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2507.07375