mlsanityData to 7 Oct 2026

OctoThinker: Mid-training Incentivizes Reinforcement Learning Scaling

arXiv 2506.20512 ↗First posted 25 Jun 2025cs.CL cs.AI cs.LGcited by 110

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

Different base language model families, such as Llama and Qwen, exhibit divergent behaviors during post-training with reinforcement learning (RL), especially on reasoning-intensive tasks. What makes a base language model suitable for reinforcement learning? Gaining deeper insight into this question is essential for developing RL-scalable foundation models of the next generation. In this work, we investigate how mid-training strategies shape RL dynamics, focusing on two representative model families: Qwen and Llama. Our study reveals that (1) high-quality mathematical corpora, such as MegaMath-Web-Pro, significantly improve both base model and RL performance, while existing alternatives (e.g., FineMath-4plus) fail to do so; (2) further adding QA-style data, particularly long chain-of-thought (CoT) reasoning examples, enhances RL outcomes, and instruction data further unlocks this effect; (3) while long-CoT improves reasoning depth, it can also induce verbosity of model responses and unstability of RL training, underscoring the importance of data formatting; (4) scaling mid-training consistently leads to stronger downstream RL performance. Building on these insights, we introduce a two-stage mid-training strategy, Stable-then-Decay, in which base models are first trained on 200B tokens with a constant learning rate, followed by 20B tokens across three CoT-focused branches with learning rate decay. This yields OctoThinker, a family of models demonstrating strong RL compatibility and closing the performance gap with more RL-friendly model families, i.e., Qwen. We hope our work will help shape pre-training strategies for foundation models in the RL era. To support further research, we release our open-source models along with a curated math reasoning-intensive corpus of over 70 billion tokens (i.e., MegaMath-Web-Pro-Max).

Key facts. Cited by 110 papers in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 42 of its 48 references that are in the map. First posted on arXiv 25 Jun 2025.

Builds on

42 of 48 references.

Closest ancestors · 10

Same direction, newest first

  1. 2025Spurious Rewards: Rethinking Training Signals in RLVR12 Jun
  2. 2025Reinforcement Learning for Reasoning in Large Language Models with One Training Example29 Apr
  3. 2025Open-Reasoner-Zero: An Open Source Approach to Scaling Up Reinforcement Learning on the Base Model31 Mar
  4. 2025Understanding R1-Zero-Like Training: A Critical Perspective26 Mar
  5. 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wild24 Mar
  6. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
  7. 2025Cognitive Behaviors that Enable Self-Improving Reasoners, or, Four Habits of Highly Effective STaRs3 Mar
  8. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
  9. 2024Tulu 3: Pushing Frontiers in Open Language Model Post-Training22 Nov
  10. 2023Let's Verify Step by Step31 May

Other references · 32

  1. 2024The Llama 3 Herd of Modelscited by 14,192
  2. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
  3. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  4. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  5. 2025Qwen3 Technical Reportcited by 8,195
  6. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  7. 2024Qwen2.5 Technical Reportcited by 4,713
  8. 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 1,980
  9. 2024Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phonecited by 1,883
  10. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
  11. 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
  12. 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,057
20 more
  1. 2021Are NLP Models really able to Solve Simple Math Word Problems?cited by 861
  2. 2023Enhancing Chat Language Models by Scaling High-quality Instructional Conversationscited by 825
  3. 2024MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategiescited by 694
  4. 2024Phi-4 Technical Reportcited by 675
  5. 2019MathQA: Towards Interpretable Math Word Problem Solving with Operation-Based Formalismscited by 653
  6. 2024DeepSeek LLM: Scaling Open-Source Language Models with Longtermismcited by 621
  7. 2024WildChat: 1M ChatGPT Interaction Logs in the Wildcited by 598
  8. 2023Llemma: An Open Language Model For Mathematicscited by 385
  9. 2024DataComp-LM: In search of the next generation of training sets for language modelscited by 381
  10. 2022Dynamic Prompt Learning via Policy Gradient for Semi-structured Mathematical Reasoningcited by 347
  11. 2021A Diverse Corpus for Evaluating and Developing English Math Word Problem Solverscited by 314
  12. 2025SmolLM2: When Smol Goes Big -- Data-Centric Training of a Small Language Modelcited by 307
  13. 20242 OLMo 2 Furiouscited by 302
  14. 2023OpenWebMath: An Open Dataset of High-Quality Mathematical Web Textcited by 151
  15. 2025Llama-Nemotron: Efficient Reasoning Modelscited by 151
  16. 2023MathPile: A Billion-Token-Scale Pretraining Corpus for Mathcited by 67
  17. 2025MegaMath: Pushing the Limits of Open Math Corporacited by 47
  18. 2024InfiMM-WebMath-40B: Advancing Multimodal Pre-Training for Enhanced Mathematical Reasoningcited by 36
  19. 2024Puzzle: Distillation-Based NAS for Inference-Optimized LLMscited by 17
  20. 2024Yi-Lightning Technical Reportcited by 11

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 55; 2026: 55.

110 papers.

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  1. 2025SAM 3D: 3Dfy Anything in Imagescited by 230
  2. 2025R-Zero: Self-Evolving Reasoning LLM from Zero Datacited by 210
  3. 2025A Survey of Reinforcement Learning for Large Reasoning Modelscited by 175
  4. 2025SPIRAL: Self-Play on Zero-Sum Games Incentivizes Reasoning via Multi-Agent Multi-Turn Reinforcement Learningcited by 89
  5. 2025Reasoning or Memorization? Unreliable Results of Reinforcement Learning Due to Data Contaminationcited by 81
  6. 2025SPICE: Self-Play In Corpus Environments Improves Reasoningcited by 78
  7. 2025Defeating the Training-Inference Mismatch via FP16cited by 62
  8. 2025Blending Supervised and Reinforcement Fine-Tuning with Prefix Samplingcited by 57
  9. 2025MegaScience: Pushing the Frontiers of Post-Training Datasets for Science Reasoningcited by 56
  10. 2025BAPO: Stabilizing Off-Policy Reinforcement Learning for LLMs via Balanced Policy Optimization with Adaptive Clippingcited by 47
  11. 2025Evolving Language Models without Labels: Majority Drives Selection, Novelty Promotes Variationcited by 44
  12. 2025Depth-Breadth Synergy in RLVR: Unlocking LLM Reasoning Gains with Adaptive Explorationcited by 40
38 more
  1. 2025RaC: Robot Learning for Long-Horizon Tasks by Scaling Recovery and Correctioncited by 35
  2. 2025Reinforcement Learning Meets Large Language Models: A Survey of Advancements and Applications Across the LLM Lifecyclecited by 34
  3. 2025RL Squeezes, SFT Expands: A Comparative Study of Reasoning LLMscited by 32
  4. 2026Rethinking the Trust Region in LLM Reinforcement Learningcited by 32
  5. 2026Tool-R0: Self-Evolving LLM Agents for Tool-Learning from Zero Datacited by 31
  6. 2026STEP3-VL-10B Technical Reportcited by 28
  7. 2025Single-stream Policy Optimizationcited by 27
  8. 2025Front-Loading Reasoning: The Synergy between Pretraining and Post-Training Datacited by 26
  9. 2025Nudging the Boundaries of LLM Reasoningcited by 25
  10. 2025Reasoning as an Adaptive Defense for Safetycited by 22
  11. 2025Hybrid Reinforcement: When Reward Is Sparse, It's Better to Be Densecited by 19
  12. 2025A Survey on LLM Mid-Trainingcited by 18
  13. 2025Don't Just Fine-tune the Agent, Tune the Environmentcited by 17
  14. 2026Reuse your FLOPs: Scaling RL on Hard Problems by Conditioning on Very Off-Policy Prefixescited by 16
  15. 2026daVinci-Dev: Agent-native Mid-training for Software Engineeringcited by 15
  16. 2025SSRL: Self-Search Reinforcement Learningcited by 13
  17. 2025RESTRAIN: From Spurious Votes to Signals -- Self-Driven RL with Self-Penalizationcited by 13
  18. 2025Scaling Generalist Data-Analytic Agentscited by 11
  19. 2025Pushing on Multilingual Reasoning Models with Language-Mixed Chain-of-Thoughtcited by 10
  20. 2025DatasetResearch: Benchmarking Agent Systems for Demand-Driven Dataset Discoverycited by 9
  21. 2025Let it Calm: Exploratory Annealed Decoding for Verifiable Reinforcement Learningcited by 9
  22. 2025LaSeR: Reinforcement Learning with Last-Token Self-Rewardingcited by 9
  23. 2025DuPO: Enabling Reliable LLM Self-Verification via Dual Preference Optimizationcited by 7
  24. 2025Beneficial Reasoning Behaviors in Agentic Search and Effective Post-training to Obtain Themcited by 7
  25. 2025Better LLM Reasoning via Dual-Playcited by 7
  26. 2026Unveiling Implicit Advantage Symmetry: Why GRPO Struggles with Exploration and Difficulty Adaptationcited by 7
  27. 2025Reinforcement Mid-Trainingcited by 6
  28. 2025MobileLLM-R1: Exploring the Limits of Sub-Billion Language Model Reasoners with Open Training Recipescited by 6
  29. 2025RePro: Training Language Models to Faithfully Recycle the Web for Pretrainingcited by 6
  30. 2025SAGE: Training Smart Any-Horizon Agents for Long Video Reasoning with Reinforcement Learningcited by 6
  31. 2026Paying Less Generalization Tax: A Cross-Domain Generalization Study of RL Training for LLM Agentscited by 6
  32. 2025URPO: A Unified Reward & Policy Optimization Framework for Large Language Modelscited by 5
  33. 2025Thinking-Free Policy Initialization Makes Distilled Reasoning Models More Effective and Efficient Reasonerscited by 5
  34. 2026DARC: Decoupled Asymmetric Reasoning Curriculum for LLM Evolutioncited by 5
  35. 2026Towards a Mechanistic Understanding of Large Reasoning Models: A Survey of Training, Inference, and Failurescited by 5
  36. 2025Thinking Augmented Pre-trainingcited by 4
  37. 2025Zero Reinforcement Learning Towards General Domainscited by 4
  38. 2026Aletheia: What Makes RLVR For Code Verifiers Tick?cited by 4

50 most cited of 110 All 110 (JSON)

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Close in wording, no citation either way

  1. 2025Scaling Behaviors of LLM Reinforcement Learning Post-Training: An Empirical Study in Mathematical Reasoning
  2. 2025On the Interplay of Pre-Training, Mid-Training, and RL on Reasoning Language Models
  3. 2025Reshaping Reasoning in LLMs: A Theoretical Analysis of RL Training Dynamics through Pattern Selection
  4. 2025Scaling Up RL: Unlocking Diverse Reasoning in LLMs via Prolonged Training
  5. 2024Does RLHF Scale? Exploring the Impacts From Data, Model, and Method
  6. 2025Demystifying Long Chain-of-Thought Reasoning in LLMs
  7. 2026Mid-Training with Self-Generated Data Improves Reinforcement Learning in Language Models
  8. 2025Reinforcement Learning on Pre-Training Data