mlsanityData to 7 Oct 2026

SKIP: a Self-knowledge-guided Step-wise Preference Learning Framework for Concise Reasoning

arXiv 2609.17019 ↗First posted 15 Sep 2026cs.AIcited by 0

On the map: LLM reasoning → Mathematical reasoning

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Abstract (arXiv)

While Chain-of-Thought (CoT) reasoning has been proven to be effective, it often leads to overthinking, resulting in computational overhead, inference latency, and even degraded performance in large language models (LLMs). Existing concise reasoning frameworks significantly compromise accuracy while compressing the length of output. In this paper, we propose SKIP, a self-knowledge-guided step-wise preference learning framework. Starting with lightweight fine-tuning to adjust the model's output style, SKIP introduces a carefully designed knowledge probing mechanism to guide model to output an answer at each reasoning step. Based on the correctness of intermediate steps, we construct preference data that guide the model toward more efficient and correct reasoning by leveraging DPO. Experimental results demonstrate that our method effectively improves reasoning compression while mitigating performance degradation after fine-tuning. Besides, SKIP shows strong generalization ability on out-of-distribution datasets. We further conducted ablation studies on the component parameters of our framework.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 18 of its 35 references that are in the map. First posted on arXiv 15 Sep 2026.

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18 of 35 references.

References · 18

  1. 2024The Llama 3 Herd of Modelscited by 14,192
  2. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  3. 2025Qwen3 Technical Reportcited by 8,195
  4. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,146
  5. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  6. 2024OpenAI o1 System Cardcited by 1,220
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  9. 2024To CoT or not to CoT? Chain-of-thought helps mainly on math and symbolic reasoningcited by 257
  10. 2024Token-Budget-Aware LLM Reasoningcited by 242
  11. 2025When More is Less: Understanding Chain-of-Thought Length in LLMscited by 182
  12. 2025DAST: Difficulty-Adaptive Slow-Thinking for Large Reasoning Modelscited by 154
6 more
  1. 2025Self-Training Elicits Concise Reasoning in Large Language Modelscited by 97
  2. 2025Learn to Reason Efficiently with Adaptive Length-based Reward Shapingcited by 74
  3. 2025Optimizing Length Compression in Large Reasoning Modelscited by 37
  4. 2025Don't Overthink It: A Survey of Efficient R1-style Large Reasoning Modelscited by 36
  5. 2025Knowing Before Saying: LLM Representations Encode Information About Chain-of-Thought Success Before Completioncited by 22
  6. 2025Token Signature: Predicting Chain-of-Thought Gains with Token Decoding Feature in Large Language Modelscited by 4

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  1. 2024Monte Carlo Tree Search Boosts Reasoning via Iterative Preference Learning
  2. 2024Self-Training with Direct Preference Optimization Improves Chain-of-Thought Reasoning
  3. 2024Step-DPO: Step-wise Preference Optimization for Long-chain Reasoning of LLMs
  4. 2025SSPO: Self-traced Step-wise Preference Optimization for Process Supervision and Reasoning Compression
  5. 2025Pruning Long Chain-of-Thought of Large Reasoning Models via Small-Scale Preference Optimization
  6. 2024Towards Intrinsic Self-Correction Enhancement in Monte Carlo Tree Search Boosted Reasoning via Iterative Preference Learning
  7. 2026Stabilizing Efficient Reasoning with Step-Level Advantage Selection
  8. 2026ChainPrune: Evaluating and Reducing Redundancy in Long Chain-of-Thought Reasoning