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Defining and Characterizing Reward Hacking

22 Pith papers cite this work, alongside 18 external citations. Polarity classification is still indexing.

22 Pith papers citing it
18 external citations · Pith
abstract

We provide the first formal definition of reward hacking, a phenomenon where optimizing an imperfect proxy reward function leads to poor performance according to the true reward function. We say that a proxy is unhackable if increasing the expected proxy return can never decrease the expected true return. Intuitively, it might be possible to create an unhackable proxy by leaving some terms out of the reward function (making it "narrower") or overlooking fine-grained distinctions between roughly equivalent outcomes, but we show this is usually not the case. A key insight is that the linearity of reward (in state-action visit counts) makes unhackability a very strong condition. In particular, for the set of all stochastic policies, two reward functions can only be unhackable if one of them is constant. We thus turn our attention to deterministic policies and finite sets of stochastic policies, where non-trivial unhackable pairs always exist, and establish necessary and sufficient conditions for the existence of simplifications, an important special case of unhackability. Our results reveal a tension between using reward functions to specify narrow tasks and aligning AI systems with human values.

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representative citing papers

Avoiding unsafe sets when training with Langevin Dynamics

cs.LG · 2026-07-08 · accept · novelty 6.0

A Langevin training trajectory's chance of occupying a small failure region relaxes to about twice its tiny stationary value after a burn-in of order the dimension, unless the region's geometry gives a faster local relaxation rate.

LLMs Corrupt Your Documents When You Delegate

cs.CL · 2026-04-17 · unverdicted · novelty 6.0

LLMs corrupt an average of 25% of document content during long delegated editing workflows across 52 domains, even frontier models, and agentic tools do not mitigate the issue.

Active teacher selection for reward learning

cs.AI · 2023-10-23 · unverdicted · novelty 6.0

The Hidden Utility Bandit (HUB) framework models teacher heterogeneity in reward learning and supports active teacher selection algorithms that outperform baselines in paper recommendation and COVID-19 vaccine testing domains.

Scaling Laws for Reward Model Overoptimization

cs.LG · 2022-10-19 · unverdicted · novelty 6.0

Synthetic measurements show that gold-standard performance degrades according to distinct functional forms when optimizing proxy reward models via RL or best-of-n, with coefficients scaling smoothly by reward model parameter count.

Failure Modes of Maximum Entropy RLHF

cs.LG · 2025-09-24 · unverdicted · novelty 5.0

Derives SimPO from MaxEnt RL and reports that MaxEnt RL in online RLHF exhibits frequent overoptimization and unstable KL dynamics across scales, unlike stable KL-constrained baselines.

Risk Reporting for Developers' Internal AI Model Use

cs.CY · 2026-04-27 · unverdicted · novelty 4.0

A harmonized risk reporting standard for internal frontier AI model use, structured around autonomous misbehavior and insider threats using means, motive, and opportunity factors.

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Showing 22 of 22 citing papers.