mlsanityData to 14 Oct 2026

Delay, Plateau, or Collapse: Evaluating the Impact of Systematic Verification Error on RLVR

arXiv 2605.02909 ↗First posted 6 Apr 2026cs.LG cs.AIcited by 7

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

Reinforcement Learning with Verifiable Rewards (RLVR) has become a powerful approach for improving the reasoning capabilities of large language models (LLMs). While RLVR is designed for tasks with verifiable ground-truth answers, real-world verifiers (e.g., static code checkers) can introduce errors into the reward signal. Prior analyses have largely treated such errors as random and independent across samples, concluding that errors merely slow training with limited effect on final performance. However, practical verifiers tend to exhibit systematic errors. This introduces a risk of models learning unwanted consistent behavior from a structurally incorrect reward signal. In this work, we study the impact of such systematic verification errors on RLVR. Through controlled experiments on arithmetic tasks, we show that systematic false negatives lead to similar effects as random noise. On the other hand, systematic false positives can cause a wide range of behaviors from sub-optimal plateaus to performance collapse. Crucially, these outcomes are not determined by the overall error rate but by the specific pattern of introduced errors, making pre-hoc mitigation difficult. Our results show that, in contrast to prior conclusions, realistic verification errors can critically shape RLVR outcomes and that verifier quality has to be understood beyond its sample-level error rate.

Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 29 of its 35 references that are in the map. First posted on arXiv 6 Apr 2026.

Builds on

29 of 35 references.

Closest ancestors · 10

Same direction, newest first

  1. 2025Soft Adaptive Policy Optimization25 Nov
  2. 2025VerifyBench: A Systematic Benchmark for Evaluating Reasoning Verifiers Across Domains14 Jul
  3. 2025The Climb Carves Wisdom Deeper Than the Summit: On the Noisy Rewards in Learning to Reason28 May
  4. 2025From Accuracy to Robustness: A Study of Rule- and Model-based Verifiers in Mathematical Reasoning28 May
  5. 2025AceReason-Nemotron: Advancing Math and Code Reasoning through Reinforcement Learning22 May
  6. 2025VerifyBench: Benchmarking Reference-based Reward Systems for Large Language Models21 May
  7. 2025TinyV: Reducing False Negatives in Verification Improves RL for LLM Reasoning20 May
  8. 2025Understanding R1-Zero-Like Training: A Critical Perspective26 Mar
  9. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
  10. 2025SWE-RL: Advancing LLM Reasoning via Reinforcement Learning on Open Software Evolution25 Feb

Other references · 19

  1. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  2. 2025Qwen3 Technical Reportcited by 8,820
  3. 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,944
  4. 2023Is Your Code Generated by ChatGPT Really Correct? Rigorous Evaluation of Large Language Models for Code Generationcited by 1,391
  5. 2022Scaling Laws for Reward Model Overoptimizationcited by 1,095
  6. 2025Kimi K2: Open Agentic Intelligencecited by 567
  7. 2025GLM-4.5: Agentic, Reasoning, and Coding (ARC) Foundation Modelscited by 467
  8. 2025Rubrics as Rewards: Reinforcement Learning Beyond Verifiable Domainscited by 366
  9. 2017Inverse Reward Designcited by 249
  10. 2022Defining and Characterizing Reward Hackingcited by 203
  11. 2025Goedel-Prover-V2: Scaling Formal Theorem Proving with Scaffolded Data Synthesis and Self-Correctioncited by 154
  12. 2025REASONING GYM: Reasoning Environments for Reinforcement Learning with Verifiable Rewardscited by 130
7 more
  1. 2024Is LLM-as-a-Judge Robust? Investigating Universal Adversarial Attacks on Zero-shot LLM Assessmentcited by 126
  2. 2023RLTF: Reinforcement Learning from Unit Test Feedbackcited by 114
  3. 2025One Token to Fool LLM-as-a-Judgecited by 60
  4. 2025Reinforcement Learning with Verifiable yet Noisy Rewards under Imperfect Verifierscited by 45
  5. 2025Variation in Verification: Understanding Verification Dynamics in Large Language Modelscited by 19
  6. 2025ROC-n-reroll: How verifier imperfection affects test-time scalingcited by 12
  7. 2026Noisy Data is Destructive to Reinforcement Learning with Verifiable Rewardscited by 5

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 7.

7 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026An Imperfect Verifier is Good Enough: Learning with Noisy Rewards
  2. 2025Position: The Hidden Costs and Measurement Gaps of Reinforcement Learning with Verifiable Rewards
  3. 2025ConfClip: Confidence-Weighted and Clipped Reward for Reinforcement Learning in LLMs
  4. 2025Reinforcement Learning with Verifiable Rewards Implicitly Incentivizes Correct Reasoning in Base LLMs
  5. 2025Extending RLVR to Open-Ended Tasks via Verifiable Multiple-Choice Reformulation
  6. 2025The Reasoning Boundary Paradox: How Reinforcement Learning Constrains Language Models
  7. 2026Rate or Fate? RLV^varepsilonR: Reinforcement Learning with Verifiable Noisy Rewards
  8. 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?