Harness-agnostic detection and immunization of reward hacking in self-evolving language models
On the map: LLM alignment / RLHF / preference optimisation → Reward hacking and misspecification
Abstract (arXiv)
Self-evolving language models improve by proposing candidate updates and keeping whatever raises a visible score. When that score is an imperfect proxy for the capability one actually wants, sustained selection widens the gap between the two. This is reward hacking. We introduce HackProbe, a monitor that attaches to an arbitrary self-evolving loop through two black-box hooks, with no access to weights or activations. It keeps a secret, distribution-fixed comparison core, whose frozen distribution makes its capability proxy comparable across generations, alongside a rotated fresh layer that hardens the bank against co-adaptation. Four tests built on that proxy cover the level gap, a scale-aligned divergence with online change-point detection, capability stagnation, and a conditional confidently-wrong rate; a Sidak correction turns them into a calibrated family-wise p-value. Diagnosis alone recovers nothing, so a risk-aware immunization layer reselects an honest candidate from the proposal pool using the core together with a purely structural gaming footprint, disclosing at most log2 Pi bits per generation to the host. We prove a detectability bound that converts a target error rate into an explicit probe-size budget, and we delimit what probe rotation does and does not buy. On a controlled prompt-level host with four injected hacking channels and ground-truth labels, HackProbe reaches 0.763 AUROC against 0.663 for the strongest baseline and cuts the false-positive rate from 0.706 to 0.434. Its bandwidth-limited reselection is the only immunization level that returns more true capability under hacking, 5.2 points on average, than it forfeits on clean runs, 4.7; per-channel effects are mostly not individually significant.
Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Placed in Reward hacking and misspecification, one of 10 directions in LLM alignment / RLHF / preference optimisation. Builds on 14 of its 23 references that are in the map. First posted on arXiv 4 Sep 2026.
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Other references · 13
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2016Concrete Problems in AI Safetycited by 1,582
- 2022Scaling Laws for Reward Model Overoptimizationcited by 1,056
- 2023DSPy: Compiling Declarative Language Model Calls into Self-Improving Pipelinescited by 803
- 2024Self-Rewarding Language Modelscited by 654
- 2024GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Modelscited by 533
- 2025GEPA: Reflective Prompt Evolution Can Outperform Reinforcement Learningcited by 449
- 2025R-Zero: Self-Evolving Reasoning LLM from Zero Datacited by 210
- 2024A Careful Examination of Large Language Model Performance on Grade School Arithmeticcited by 188
- 2024GSM-Plus: A Comprehensive Benchmark for Evaluating the Robustness of LLMs as Mathematical Problem Solverscited by 155
- 2018Categorizing Variants of Goodhart's Lawcited by 132
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Citing papers per year: 2026: 1.
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- 2026Optimizing the Score, Losing Sight of the Task: Reward Hacking Across Weights, Selection, and Prompts
- 2026RH-Detect: A Unified Benchmark for Reward Hacking Detection
- 2026Monitoring Emergent Reward Hacking During Generation via Internal Activations
- 2026Reward Hacking Benchmark: Measuring Exploits in LLM Agents with Tool Use
- 2026Reward Hacking in Language Model Agents: Revisiting AI Safety Gridworlds
- 2025Inference-Time Reward Hacking in Large Language Models
- 2026More Convincing, Not More Correct: Self-Play Reward Hacking of Reference-Free LLM Judges
- 2026Proxy Reward Internalization and Mechanistic Exploitation: A Learned Precursor to Reward Hacking and Its Generalization