cs.LGJun 8, 2026

A Unifying Lens on Reward Uncertainty in RLHF

Authors: Ely HahamiYoel ZimmermannRay ZhouJack Benarroch Jedlicki

Abstract

Reinforcement learning from human feedback (RLHF) is bottlenecked by reward hacking, where the policy exploits errors in a proxy reward model (RM) and produces high RM scores without genuine quality gains. A natural mitigation is pessimism: lowering rewards in regions where the RM is uncertain. However, standard scalar RMs provide no principled notion of uncertainty. We argue that the right object is a distributional reward model p(rx,y)p(r\mid x,y). Under either a Bayesian inference or a KL-distributionally robust optimization (KL-DRO) lens, the KL-regularized RLHF objective admits a closed-form effective reward r~(x,y)=±βlogEp[e±r/β]\tilde r(x,y) = \pmβ\log\mathbb{E}_p[e^{\pm r/β}]. The pessimistic branch unifies the prior heuristics for RM ensemble aggregation: mean aggregation, worst-case optimization (WCO), and uncertainty-weighted optimization (UWO) all emerge as limits or truncations of this single expression. This also clarifies the implicit assumptions of each existing rule.

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