What Makes a Reward Model a Good Teacher? An Optimization Perspective

Fuente: arXiv
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Hauptverfasser: Razin, Noam, Wang, Zixuan, Strauss, Hubert, Wei, Stanley, Lee, Jason D., Arora, Sanjeev
Format: Preprint
Veröffentlicht: 2025
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author Razin, Noam
Wang, Zixuan
Strauss, Hubert
Wei, Stanley
Lee, Jason D.
Arora, Sanjeev
author_facet Razin, Noam
Wang, Zixuan
Strauss, Hubert
Wei, Stanley
Lee, Jason D.
Arora, Sanjeev
contents The success of Reinforcement Learning from Human Feedback (RLHF) critically depends on the quality of the reward model. However, while this quality is primarily evaluated through accuracy, it remains unclear whether accuracy fully captures what makes a reward model an effective teacher. We address this question from an optimization perspective. First, we prove that regardless of how accurate a reward model is, if it induces low reward variance, then the RLHF objective suffers from a flat landscape. Consequently, even a perfectly accurate reward model can lead to extremely slow optimization, underperforming less accurate models that induce higher reward variance. We additionally show that a reward model that works well for one language model can induce low reward variance, and thus a flat objective landscape, for another. These results establish a fundamental limitation of evaluating reward models solely based on accuracy or independently of the language model they guide. Experiments using models of up to 8B parameters corroborate our theory, demonstrating the interplay between reward variance, accuracy, and reward maximization rate. Overall, our findings highlight that beyond accuracy, a reward model needs to induce sufficient variance for efficient optimization.
format Preprint
id arxiv_https___arxiv_org_abs_2503_15477
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle What Makes a Reward Model a Good Teacher? An Optimization Perspective
Razin, Noam
Wang, Zixuan
Strauss, Hubert
Wei, Stanley
Lee, Jason D.
Arora, Sanjeev
Machine Learning
Artificial Intelligence
Computation and Language
The success of Reinforcement Learning from Human Feedback (RLHF) critically depends on the quality of the reward model. However, while this quality is primarily evaluated through accuracy, it remains unclear whether accuracy fully captures what makes a reward model an effective teacher. We address this question from an optimization perspective. First, we prove that regardless of how accurate a reward model is, if it induces low reward variance, then the RLHF objective suffers from a flat landscape. Consequently, even a perfectly accurate reward model can lead to extremely slow optimization, underperforming less accurate models that induce higher reward variance. We additionally show that a reward model that works well for one language model can induce low reward variance, and thus a flat objective landscape, for another. These results establish a fundamental limitation of evaluating reward models solely based on accuracy or independently of the language model they guide. Experiments using models of up to 8B parameters corroborate our theory, demonstrating the interplay between reward variance, accuracy, and reward maximization rate. Overall, our findings highlight that beyond accuracy, a reward model needs to induce sufficient variance for efficient optimization.
title What Makes a Reward Model a Good Teacher? An Optimization Perspective
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2503.15477