mlsanityData to 7 Oct 2026

Harness-agnostic detection and immunization of reward hacking in self-evolving language models

arXiv 2609.04665 ↗First posted 4 Sep 2026cs.AIcited by 1

On the map: LLM alignment / RLHF / preference optimisation → Reward hacking and misspecification

also in 1 more
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.

Builds on

14 of 23 references.

Closest ancestors · 1

Same direction, newest first

  1. 2026Reward Hacking in the Era of Large Models: Mechanisms, Emergent Misalignment, Challenges15 Apr

Other references · 13

  1. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  2. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  3. 2016Concrete Problems in AI Safetycited by 1,582
  4. 2022Scaling Laws for Reward Model Overoptimizationcited by 1,056
  5. 2023DSPy: Compiling Declarative Language Model Calls into Self-Improving Pipelinescited by 803
  6. 2024Self-Rewarding Language Modelscited by 654
  7. 2024GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Modelscited by 533
  8. 2025GEPA: Reflective Prompt Evolution Can Outperform Reinforcement Learningcited by 449
  9. 2025R-Zero: Self-Evolving Reasoning LLM from Zero Datacited by 210
  10. 2024A Careful Examination of Large Language Model Performance on Grade School Arithmeticcited by 188
  11. 2024GSM-Plus: A Comprehensive Benchmark for Evaluating the Robustness of LLMs as Mathematical Problem Solverscited by 155
  12. 2018Categorizing Variants of Goodhart's Lawcited by 132
1 more
  1. 2024PaCoST: Paired Confidence Significance Testing for Benchmark Contamination Detection in Large Language Modelscited by 5

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 1.

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Similar, not cited

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  1. 2026Optimizing the Score, Losing Sight of the Task: Reward Hacking Across Weights, Selection, and Prompts
  2. 2026RH-Detect: A Unified Benchmark for Reward Hacking Detection
  3. 2026Monitoring Emergent Reward Hacking During Generation via Internal Activations
  4. 2026Reward Hacking Benchmark: Measuring Exploits in LLM Agents with Tool Use
  5. 2026Reward Hacking in Language Model Agents: Revisiting AI Safety Gridworlds
  6. 2025Inference-Time Reward Hacking in Large Language Models
  7. 2026More Convincing, Not More Correct: Self-Play Reward Hacking of Reference-Free LLM Judges
  8. 2026Proxy Reward Internalization and Mechanistic Exploitation: A Learned Precursor to Reward Hacking and Its Generalization