Reasoning or Memorization? Unreliable Results of Reinforcement Learning Due to Data Contamination
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
Reasoning in large language models has long been a central research focus, and recent studies employing reinforcement learning (RL) have introduced diverse methods that yield substantial performance gains with minimal or even no external supervision. Surprisingly, some studies even suggest that random or incorrect reward signals can enhance performance. However, these breakthroughs are predominantly observed for the mathematically strong Qwen2.5 series on benchmarks such as MATH-500, AMC, and AIME, and seldom transfer to models like Llama, which warrants a more in-depth investigation. In this work, our empirical analysis reveals that pre-training on massive web-scale corpora leaves Qwen2.5 susceptible to data contamination in widely used benchmarks. Consequently, conclusions derived from contaminated benchmarks on Qwen2.5 series may be unreliable. To obtain trustworthy evaluation results, we introduce a generator that creates fully clean arithmetic problems of arbitrary length and difficulty, dubbed RandomCalculation. Using this leakage-free dataset, we show that only accurate reward signals yield steady improvements that surpass the base model's performance boundary in mathematical reasoning, whereas random or incorrect rewards do not. Moreover, we conduct more fine-grained analyses to elucidate the factors underlying the different performance observed on the MATH-500 and RandomCalculation benchmarks. Consequently, we recommend that future studies evaluate models on uncontaminated benchmarks and, when feasible, test various model series to ensure trustworthy conclusions about RL and related methods.
Key facts. Cited by 82 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 14 Jul 2025.
Builds on
29 of 35 references.
Closest ancestors · 14
Same direction, newest first
- 2025OctoThinker: Mid-training Incentivizes Reinforcement Learning Scaling25 Jun
- 2025No Free Lunch: Rethinking Internal Feedback for LLM Reasoning20 Jun
- 2025Spurious Rewards: Rethinking Training Signals in RLVR12 Jun
- 2025Confidence Is All You Need: Few-Shot RL Fine-Tuning of Language Models5 Jun
- 2025Maximizing Confidence Alone Improves Reasoning28 May
- 2025The Climb Carves Wisdom Deeper Than the Summit: On the Noisy Rewards in Learning to Reason28 May
- 2025Can Large Reasoning Models Self-Train?27 May
- 2025Learning to Reason without External Rewards26 May
- 2025The Unreasonable Effectiveness of Entropy Minimization in LLM Reasoning21 May
- 2025Absolute Zero: Reinforced Self-play Reasoning with Zero Data6 May
- 2025Reinforcement Learning for Reasoning in Large Language Models with One Training Example29 Apr
- 2025TTRL: Test-Time Reinforcement Learning22 Apr
2 more
Other references · 15
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
- 2024Qwen2.5 Technical Reportcited by 4,942
- 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 2,004
- 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,392
- 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,090
- 20242 OLMo 2 Furiouscited by 340
- 2025SmolLM2: When Smol Goes Big -- Data-Centric Training of a Small Language Modelcited by 335
- 2023OpenWebMath: An Open Dataset of High-Quality Mathematical Web Textcited by 155
- 2025REASONING GYM: Reasoning Environments for Reinforcement Learning with Verifiable Rewardscited by 130
- 2024Benchmarking Benchmark Leakage in Large Language Modelscited by 106
- 2023MathPile: A Billion-Token-Scale Pretraining Corpus for Mathcited by 67
3 more
- 2024Are Your LLMs Capable of Stable Reasoning?cited by 65
- 2024InfiMM-WebMath-40B: Advancing Multimodal Pre-Training for Enhanced Mathematical Reasoningcited by 36
- 2025One-shot Entropy Minimizationcited by 32
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Citing papers per year: 2025: 46; 2026: 36.
82 papers.
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- 2026Scaling Large Reasoning Models beyond Human Supervision: A Path toward Superintelligence31 Aug 2026
- 2026Reasoning or Memorization: Can LLMs Understand and Generate Chinese Xiehouyu Riddles?26 Jul 2026
- 2026Which Tokens Matter? Adaptive Token Selection for RLVR with the Relative Surprisal Index30 Jun 2026
- 2026To Reason or to Fabricate: Reasoning Without Shortcuts via Hint-Anchored Pairwise Aggregation28 Jun 2026
- 2026The Riddle Riddle: Testing Flexible Reasoning in Large Language Models and Humans25 Jun 2026
- 2026VeriGate: Verifier-Gated Step-Level Supervision for GRPO28 May 2026
- 2026LaRA: Layer-wise Representation Analysis for Detecting Data Contamination in RL Post-Training28 May 2026
- 2026The Illusion of Reasoning: Exposing Evasive Data Contamination in LLMs via Zero-CoT Truncation21 May 2026
- 2026From Curiosity to Caution: Mitigating Reward Hacking for Best-of-N with Pessimism6 Apr 2026
- 2026Rethinking Easy-to-Hard: Limits of Curriculum Learning in Post-Training for Deductive Reasoning28 Mar 2026
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- 2025Evaluation Awareness Scales Predictably in Open-Weights Large Language Modelscited by 14
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- 2025Mirage or Method? How Model-Task Alignment Induces Divergent RL Conclusionscited by 6
- 2025Detecting Data Contamination from Reinforcement Learning Post-training for Large Language Modelscited by 6
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- 2025RSPO: Risk-Seeking Policy Optimization for Pass@k and Max@k Metrics in Large Language Modelscited by 5
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- 2026Do Instruction-Tuned Models Always Perform Better Than Base Models? Evidence from Math and Domain-Shifted Benchmarkscited by 4
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- 2026Asking for What Was Never Requested: Horizontal and Vertical Proactivity in Agents29 Sep 2026
- 2026Learned Reporting Preferences in RLVR Can Conflict with the Current Request29 Sep 2026
- 2026Parameter Exploration for RLVR via Variational Learning10 Aug 2026
- 2026Inducing Artificial Uncertainty in Language Models13 May 2026
- 2026Parallel-SFT: Improving Zero-Shot Cross-Programming-Language Transfer for Code RL22 Apr 2026
- 2026From GPT-3 to GPT-5: Mapping their capabilities, scope, limitations, and consequences11 Apr 2026
- 2026How Do Language Models Understand Tables? A Mechanistic Analysis of Cell Location9 Feb 2026
- 2026SE-Bench: Benchmarking Self-Evolution with Knowledge Internalization4 Feb 2026
- 2026Do Instruction-Tuned Models Always Perform Better Than Base Models? Evidence from Math and Domain-Shifted Benchmarks19 Jan 2026
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