mlsanityData to 7 Oct 2026

Bradley-Terry and Multi-Objective Reward Modeling Are Complementary

arXiv 2507.07375 ↗First posted 10 Jul 2025cs.LG cs.CLcited by 10

On the map: LLM alignment / RLHF / preference optimisation → Reward modeling and RLHF

Abstract (arXiv)

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.

Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Placed in Reward modeling and RLHF, one of 10 directions in LLM alignment / RLHF / preference optimisation. Builds on 62 of its 74 references that are in the map. First posted on arXiv 10 Jul 2025.

Builds on

62 of 74 references.

Closest ancestors · 30

Same direction, newest first

  1. 2025Mitigating Reward Over-Optimization in RLHF via Behavior-Supported Regularization23 Mar
  2. 2025What Makes a Reward Model a Good Teacher? An Optimization Perspective19 Mar
  3. 2025Reward Shaping to Mitigate Reward Hacking in RLHF26 Feb
  4. 2025Beyond Reward Hacking: Causal Rewards for Large Language Model Alignment16 Jan
  5. 2024Skywork-Reward: Bag of Tricks for Reward Modeling in LLMs24 Oct
  6. 2024RM-Bench: Benchmarking Reward Models of Language Models with Subtlety and Style21 Oct
  7. 2024Rethinking Reward Model Evaluation: Are We Barking up the Wrong Tree?8 Oct
  8. 2024RRM: Robust Reward Model Training Mitigates Reward Hacking20 Sep
  9. 2024Reward-Robust RLHF in LLMs18 Sep
  10. 2024Interpretable Preferences via Multi-Objective Reward Modeling and Mixture-of-Experts18 Jun
  11. 2024Regularizing Hidden States Enables Learning Generalizable Reward Model for LLMs14 Jun
  12. 2024HelpSteer2: Open-source dataset for training top-performing reward models12 Jun
18 more
  1. 2024Provably Mitigating Overoptimization in RLHF: Your SFT Loss is Implicitly an Adversarial Regularizer26 May
  2. 2024RLHF Workflow: From Reward Modeling to Online RLHF13 May
  3. 2024Overcoming Reward Overoptimization via Adversarial Policy Optimization with Lightweight Uncertainty Estimation8 Mar
  4. 2024InfoRM: Mitigating Reward Hacking in RLHF via Information-Theoretic Reward Modeling14 Feb
  5. 2024ODIN: Disentangled Reward Mitigates Hacking in RLHF11 Feb
  6. 2024Improving Reinforcement Learning from Human Feedback with Efficient Reward Model Ensemble30 Jan
  7. 2024Iterative Data Smoothing: Mitigating Reward Overfitting and Overoptimization in RLHF29 Jan
  8. 2024WARM: On the Benefits of Weight Averaged Reward Models22 Jan
  9. 2024Secrets of RLHF in Large Language Models Part II: Reward Modeling11 Jan
  10. 2023Helping or Herding? Reward Model Ensembles Mitigate but do not Eliminate Reward Hacking14 Dec
  11. 2023Confronting Reward Model Overoptimization with Constrained RLHF6 Oct
  12. 2023Reward Model Ensembles Help Mitigate Overoptimization4 Oct
  13. 2023Reinforced Self-Training (ReST) for Language Modeling17 Aug
  14. 2023Fine-Grained Human Feedback Gives Better Rewards for Language Model Training2 Jun
  15. 2023RAFT: Reward rAnked FineTuning for Generative Foundation Model Alignment13 Apr
  16. 2022Scaling Laws for Reward Model Overoptimization19 Oct
  17. 2022Training a Helpful and Harmless Assistant with Reinforcement Learning from Human Feedback12 Apr
  18. 2021WebGPT: Browser-assisted question-answering with human feedback17 Dec

Other references · 32

  1. 2022Training language models to follow instructions with human feedbackcited by 15,712
  2. 2017Proximal Policy Optimization Algorithmscited by 14,441
  3. 2024The Llama 3 Herd of Modelscited by 14,192
  4. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
  5. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  6. 2020Learning to summarize from human feedbackcited by 2,562
  7. 2023A Survey of Large Language Modelscited by 2,537
  8. 2024A Survey on LLM-as-a-Judgecited by 1,384
  9. 2023A Survey on Evaluation of Large Language Modelscited by 1,227
  10. 2024Chatbot Arena: An Open Platform for Evaluating LLMs by Human Preferencecited by 1,151
  11. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 895
  12. 2024A Survey on Large Language Models for Code Generationcited by 646
20 more
  1. 2023Safe RLHF: Safe Reinforcement Learning from Human Feedbackcited by 630
  2. 2023Prometheus: Inducing Fine-grained Evaluation Capability in Language Modelscited by 558
  3. 2024From Generation to Judgment: Opportunities and Challenges of LLM-as-a-judgecited by 480
  4. 2024Improve Mathematical Reasoning in Language Models by Automated Process Supervisioncited by 426
  5. 2025The Lessons of Developing Process Reward Models in Mathematical Reasoningcited by 402
  6. 2023Large Language Model Alignment: A Surveycited by 241
  7. 2023Using an LLM to Help With Code Understandingcited by 222
  8. 2023Mitigating the Alignment Tax of RLHFcited by 181
  9. 2024Arithmetic Control of LLMs for Diverse User Preferences: Directional Preference Alignment with Multi-Objective Rewardscited by 145
  10. 2024Nemotron-4 340B Technical Reportcited by 143
  11. 2023HelpSteer: Multi-attribute Helpfulness Dataset for SteerLMcited by 140
  12. 2024A Comprehensive Survey of Small Language Models in the Era of Large Language Models: Techniques, Enhancements, Applications, Collaboration with LLMs, and Trustworthinesscited by 125
  13. 2024BoNBoN Alignment for Large Language Models and the Sweetness of Best-of-n Samplingcited by 120
  14. 2024ARGS: Alignment as Reward-Guided Searchcited by 99
  15. 2024Catastrophic Failure of LLM Unlearning via Quantizationcited by 76
  16. 2024Correlated Proxies: A New Definition and Improved Mitigation for Reward Hackingcited by 50
  17. 2023Beyond Imitation: Leveraging Fine-grained Quality Signals for Alignmentcited by 35
  18. 2024CodeMMLU: A Multi-Task Benchmark for Assessing Code Understanding & Reasoning Capabilities of CodeLLMscited by 18
  19. 2025Data-adaptive Safety Rules for Training Reward Modelscited by 6
  20. 2025How Far are LLMs from Real Search? A Comprehensive Study on Efficiency, Completeness, and Inherent Capabilitiescited by 4

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 2; 2026: 8.

10 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026Mitigating Reward Hacking in RLHF via Bayesian Non-negative Reward Modeling
  2. 2025On the Robustness of Reward Models for Language Model Alignment
  3. 2025UMM-RM: An Upcycle-and-Merge MoE Reward Model for Mitigating Reward Hacking
  4. 2024Rethinking Bradley-Terry Models in Preference-Based Reward Modeling: Foundations, Theory, and Alternatives
  5. 2025Debiasing Reward Models by Representation Learning with Guarantees
  6. 2026Reward Hacking in the Era of Large Models: Mechanisms, Emergent Misalignment, Challenges
  7. 2025Information-Theoretic Reward Modeling for Stable RLHF: Detecting and Mitigating Reward Hacking
  8. 2025Reusing Embeddings: Reproducible Reward Model Research in Large Language Model Alignment without GPUs