mlsanityData to 14 Oct 2026

ThoughtFold: Folding Reasoning Chains via Introspective Preference Learning

arXiv 2606.03503 ↗First posted 2 Jun 2026cs.AIcited by 1

On the map: LLM reasoning → Test-time compute and efficient thinking

Abstract (arXiv)

Large Reasoning Models (LRMs) have achieved remarkable progress thanks to Reinforcement Learning with Verifiable Rewards (RLVR) on Chain-of-Thoughts (CoTs). However, since long CoTs naturally contain trial and errors and mainstream RLVR approaches choose outcome-correct CoT trajectories for memorization, the redundant explorations in long CoTs are inevitably reinforced, which results in the over-thinking issues of LRMs. Previous attempts to resolve this issue mainly give more advantage to shorter trajectories, yet their learning signals are still outcome-based and cannot reduce the memorization of redundant explorations in long CoTs. Therefore, we propose ThoughtFold, a framework that leverages fine-grained preference learning to mitigate redundant explorations for efficient reasoning. ThoughtFold employs an introspective strategy to identify redundancy within each correct trajectory, which yields a spectrum of candidate sub-trajectories. Leveraging this spectrum, we introduce a masked preference optimization objective that explicitly penalizes redundant explorations and encourages the model to directly bridge essential reasoning segments, effectively folding its reasoning chains into a more concise path. Extensive experiments show that ThoughtFold significantly enhances efficiency. It reduces the token usage of DeepSeek-R1-Distill-Qwen-7B by approximately 56% while maintaining state-of-the-art accuracy.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 56 of its 76 references that are in the map. First posted on arXiv 2 Jun 2026.

Builds on

56 of 76 references.

Closest ancestors · 19

Same direction, newest first

  1. 2026ArborKV: Structure-Aware KV Cache Management for Scaling Tree-based LLM Reasoning21 May
  2. 2026Short Chains, Deep Thoughts: Balancing Reasoning Efficiency and Intra-Segment Capability via Split-Merge Optimization3 Feb
  3. 2025Promoting Efficient Reasoning with Verifiable Stepwise Reward14 Aug
  4. 2025ConCISE: Confidence-guided Compression in Step-by-step Efficient Reasoning8 May
  5. 2025ShorterBetter: Guiding Reasoning Models to Find Optimal Inference Length for Efficient Reasoning30 Apr
  6. 2025Dynamic Early Exit in Reasoning Models22 Apr
  7. 2025Reasoning Models Can Be Effective Without Thinking14 Apr
  8. 2025Stop Overthinking: A Survey on Efficient Reasoning for Large Language Models20 Mar
  9. 2025L1: Controlling How Long A Reasoning Model Thinks With Reinforcement Learning6 Mar
  10. 2025How Well do LLMs Compress Their Own Chain-of-Thought? A Token Complexity Approach3 Mar
  11. 2025TokenSkip: Controllable Chain-of-Thought Compression in LLMs17 Feb
  12. 2025CoT-Valve: Length-Compressible Chain-of-Thought Tuning13 Feb
7 more
  1. 2025Demystifying Long Chain-of-Thought Reasoning in LLMs5 Feb
  2. 2025Reward-Guided Speculative Decoding for Efficient LLM Reasoning31 Jan
  3. 2025O1-Pruner: Length-Harmonizing Fine-Tuning for O1-Like Reasoning Pruning22 Jan
  4. 2024Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMs30 Dec
  5. 2024Token-Budget-Aware LLM Reasoning24 Dec
  6. 2024Escape Sky-high Cost: Early-stopping Self-Consistency for Multi-step Reasoning19 Jan
  7. 2022STaR: Bootstrapping Reasoning With Reasoning28 Mar

Other references · 37

  1. 2017Proximal Policy Optimization Algorithmscited by 15,215
  2. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
  3. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  4. 2025Qwen3 Technical Reportcited by 8,820
  5. 2021Evaluating Large Language Models Trained on Codecited by 8,320
  6. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 8,065
  7. 2020Measuring Massive Multitask Language Understandingcited by 7,963
  8. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
  9. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  10. 2024Qwen2.5 Technical Reportcited by 4,942
  11. 2025Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilitiescited by 3,796
  12. 2018HotpotQA: A Dataset for Diverse, Explainable Multi-hop Question Answeringcited by 3,754
25 more
  1. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,879
  2. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scalecited by 2,810
  3. 2025Kimi k1.5: Scaling Reinforcement Learning with LLMscited by 1,210
  4. 2022Solving math word problems with process- and outcome-based feedbackcited by 901
  5. 2024Improve Mathematical Reasoning in Language Models by Automated Process Supervisioncited by 441
  6. 2014Memory Networkscited by 363
  7. 2025Chain of Draft: Thinking Faster by Writing Lesscited by 297
  8. 2025Towards Large Reasoning Models: A Survey of Reinforced Reasoning with Large Language Modelscited by 293
  9. 2025DeepMath-103K: A Large-Scale, Challenging, Decontaminated, and Verifiable Mathematical Dataset for Advancing Reasoningcited by 280
  10. 2025Training Language Models to Reason Efficientlycited by 247
  11. 2024Distilling System 2 into System 1cited by 159
  12. 2024Chain of Thoughtlessness? An Analysis of CoT in Planningcited by 103
  13. 2025S-GRPO: Early Exit via Reinforcement Learning in Reasoning Modelscited by 87
  14. 2025Intern-S1: A Scientific Multimodal Foundation Modelcited by 53
  15. 2025Consistent Paths Lead to Truth: Self-Rewarding Reinforcement Learning for LLM Reasoningcited by 46
  16. 2025Topology of Reasoning: Understanding Large Reasoning Models through Reasoning Graph Propertiescited by 29
  17. 2026Intern-S1-Pro: Scientific Multimodal Foundation Model at Trillion Scalecited by 29
  18. 2025Mask-DPO: Generalizable Fine-grained Factuality Alignment of LLMscited by 24
  19. 2025Bridging the Semantic-Action Gap in Visual Token Pruning for Efficient VLA Inferencecited by 17
  20. 2025DRPO: Efficient Reasoning via Decoupled Reward Policy Optimizationcited by 16
  21. 2026FROST: Filtering Reasoning Outliers with Attention for Efficient Reasoningcited by 5
  22. 2025Intern-S1-MO: Long-horizon Reasoning Agent for Olympiad?Level Mathematical Problem Solvingcited by 4
  23. 2025OPV: Outcome-based Process Verifier for Efficient Long Chain-of-Thought Verificationcited by 4
  24. 2026FaithRL: Learning to Reason Faithfully through Step-Level Faithfulness Maximizationcited by 4
  25. 2026Meta-Cognitive Memory Policy Optimization for Long-Horizon LLM Agentscited by 4

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Citing papers per year: 2026: 1.

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  2. 2025Not All Thoughts are Generated Equal: Efficient LLM Reasoning via Multi-Turn Reinforcement Learning
  3. 2025Reconsidering Overthinking: Penalizing Internal and External Redundancy in CoT Reasoning
  4. 2026ChainPrune: Evaluating and Reducing Redundancy in Long Chain-of-Thought Reasoning
  5. 2025Rectifying LLM Thought from Lens of Optimization
  6. 2025ThinkPrune: Pruning Long Chain-of-Thought of LLMs via Reinforcement Learning
  7. 2025Don't Think Longer, Think Wisely: Optimizing Thinking Dynamics for Large Reasoning Models
  8. 2025Reasoning Under 1 Billion: Memory-Augmented Reinforcement Learning for Large Language Models