Discretizing Reward Models

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[2606.21795] Discretizing Reward Models

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Computer Science > Machine Learning

arXiv:2606.21795 (cs)

[Submitted on 19 Jun 2026]

Title:Discretizing Reward Models

Authors:Vijay Viswanathan, Shiqi Wang, Devamanyu Hazarika, Chirag Nagpal, Tongshuang Wu, Graham Neubig, Yuning Mao<br>View a PDF of the paper titled Discretizing Reward Models, by Vijay Viswanathan and 6 other authors

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Abstract:Despite their widespread use, the role of reward models in shaping reinforcement learning is poorly understood. Reward models offer a tempting promise: they automatically estimate response quality in the absence of verifiers or human judges. Unlike "verifiable rewards" which typically produce binary scores, reward models typically produce continuous scores, allowing them to be sensitive to fine-grained differences in responses. However, we show this apparent strength is a serious weakness: many popular reward models are oversensitive, assigning different scores to equally good responses. Theoretically, we show that seemingly perfect reward models can be highly oversensitive; empirically, this oversensitivity can lead to bad policies. In place of existing notions of "reward model accuracy," we propose evaluating reward models using distinct measures of "discriminative ability" and "specificity" (the complement of oversensitivity). As a solution, we describe a training-free algorithm that uses Monte Carlo dropout on any neural reward model to produce discrete reward clusters. Theoretically, we prove there exist discretizations that reduce oversensitivity at minimal expense of discriminative ability; empirically we show, in both controlled and natural RL settings, that discretizing rewards leads to less reward hacking and better policies than training on the original rewards.

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Machine Learning (cs.LG)

Cite as:<br>arXiv:2606.21795 [cs.LG]

(or<br>arXiv:2606.21795v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2606.21795

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arXiv-issued DOI via DataCite

Submission history<br>From: Vijay Viswanathan [view email]<br>[v1]<br>Fri, 19 Jun 2026 23:13:59 UTC (523 KB)

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