mlsanityData to 7 Oct 2026

Noisy Data is Destructive to Reinforcement Learning with Verifiable Rewards

arXiv 2603.16140 ↗First posted 17 Mar 2026cs.LGcited by 4

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Abstract (arXiv)

Reinforcement learning with verifiable rewards (RLVR) has driven recent capability advances of large language models across various domains. Recent studies suggest that improved RLVR algorithms allow models to learn effectively from incorrect annotations, achieving performance comparable to learning from clean data. In this work, we show that these findings are invalid because the claimed 100% noisy training data is "contaminated" with clean data. After rectifying the dataset with a rigorous re-verification pipeline, we demonstrate that noise is destructive to RLVR. We show that existing RLVR algorithm improvements fail to mitigate the impact of noise, achieving similar performance to that of the basic GRPO. Furthermore, we find that the model trained on truly incorrect annotations performs 8-10% worse than the model trained on clean data across mathematical reasoning benchmarks. Finally, we show that these findings hold for real-world noise in Text2SQL tasks, where training on real-world, human annotation errors cause 5-12% lower accuracy than clean data. Our results show that current RLVR methods cannot yet compensate for poor data quality. High-quality data remains essential.

Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 25 of its 44 references that are in the map. First posted on arXiv 17 Mar 2026.

Builds on

25 of 44 references.

References · 25

  1. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  2. 2023Let's Verify Step by Stepcited by 3,598
  3. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scalecited by 2,678
  4. 2025Understanding R1-Zero-Like Training: A Critical Perspectivecited by 1,276
  5. 2018Generalized Cross Entropy Loss for Training Deep Neural Networks with Noisy Labelscited by 994
  6. 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?cited by 948
  7. 2023Can LLM Already Serve as A Database Interface? A BIg Bench for Large-Scale Database Grounded Text-to-SQLscited by 667
  8. 2025Kimi K2: Open Agentic Intelligencecited by 523
  9. 2020Are we done with ImageNet?cited by 329
  10. 2025Reinforcement Learning with Verifiable Rewards Implicitly Incentivizes Correct Reasoning in Base LLMscited by 276
  11. 2025MiniMax-M1: Scaling Test-Time Compute Efficiently with Lightning Attentioncited by 248
  12. 2025SWE-RL: Advancing LLM Reasoning via Reinforcement Learning on Open Software Evolutioncited by 246
13 more
  1. 2025Spurious Rewards: Rethinking Training Signals in RLVRcited by 199
  2. 2025Crossing the Reward Bridge: Expanding RL with Verifiable Rewards Across Diverse Domainscited by 150
  3. 2025General-Reasoner: Advancing LLM Reasoning Across All Domainscited by 132
  4. 2025Soft Adaptive Policy Optimizationcited by 89
  5. 2025UTBoost: Rigorous Evaluation of Coding Agents on SWE-Benchcited by 44
  6. 2025Reinforcement Learning with Verifiable yet Noisy Rewards under Imperfect Verifierscited by 40
  7. 2024Understanding the Effects of Noise in Text-to-SQL: An Examination of the BIRD-Bench Benchmarkcited by 33
  8. 2023Evaluating Cross-Domain Text-to-SQL Models and Benchmarkscited by 32
  9. 2025NL2SQL-BUGs: A Benchmark for Detecting Semantic Errors in NL2SQL Translationcited by 31
  10. 2025Clip-Low Increases Entropy and Clip-High Decreases Entropy in Reinforcement Learning of Large Language Modelscited by 12
  11. 2026Pervasive Annotation Errors Break Text-to-SQL Benchmarks and Leaderboardscited by 12
  12. 2025The Climb Carves Wisdom Deeper Than the Summit: On the Noisy Rewards in Learning to Reasoncited by 11
  13. 2025Noise-corrected GRPO: From Noisy Rewards to Unbiased Gradientscited by 11

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 4.

4 papers.

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  1. 2026Rate or Fate? RLV^varepsilonR: Reinforcement Learning with Verifiable Noisy Rewards
  2. 2026Can LLMs Learn to Reason Robustly under Noisy Supervision?
  3. 2026Quantifying Empirical Compute-Supervision Tradeoffs in RLVR
  4. 2026Overconfident Errors Need Stronger Correction: Asymmetric Confidence Penalties for Reinforcement Learning
  5. 2025Extending RLVR to Open-Ended Tasks via Verifiable Multiple-Choice Reformulation
  6. 2026The Unlearnability Phenomenon in RLVR for Language Models
  7. 2026When Self-Belief Misleads: Active Label Acquisition for Reinforcement Learning with Verifiable Rewards
  8. 2025Detecting Data Contamination from Reinforcement Learning Post-training for Large Language Models