mlsanityData to 7 Oct 2026

Distribution-Aligned Sequence Distillation for Superior Long-CoT Reasoning

arXiv 2601.09088 ↗First posted 14 Jan 2026cs.LG cs.CLcited by 13

On the map: LLM reasoning → Prompting and chain-of-thought reasoning

Abstract (arXiv)

In this report, we introduce DASD-4B-Thinking, a lightweight yet highly capable, fully open-source reasoning model. It achieves SOTA performance among open-source models of comparable scale across challenging benchmarks in mathematics, scientific reasoning, and code generation -- even outperforming several larger models. We begin by critically reexamining a widely adopted distillation paradigm in the community: SFT on teacher-generated responses, also known as sequence-level distillation. Although a series of recent works following this scheme have demonstrated remarkable efficiency and strong empirical performance, they are primarily grounded in the SFT perspective. Consequently, these approaches focus predominantly on designing heuristic rules for SFT data filtering, while largely overlooking the core principle of distillation itself -- enabling the student model to learn the teacher's full output distribution so as to inherit its generalization capability. Specifically, we identify three critical limitations in current practice: i) Inadequate representation of the teacher's sequence-level distribution; ii) Misalignment between the teacher's output distribution and the student's learning capacity; and iii) Exposure bias arising from teacher-forced training versus autoregressive inference. In summary, these shortcomings reflect a systemic absence of explicit teacher-student interaction throughout the distillation process, leaving the essence of distillation underexploited. To address these issues, we propose several methodological innovations that collectively form an enhanced sequence-level distillation training pipeline. Remarkably, DASD-4B-Thinking obtains competitive results using only 448K training samples -- an order of magnitude fewer than those employed by most existing open-source efforts. To support community research, we publicly release our models and the training dataset.

Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Placed in Prompting and chain-of-thought reasoning, one of 17 directions in LLM reasoning. Builds on 41 of its 48 references that are in the map. First posted on arXiv 14 Jan 2026.

Builds on

41 of 48 references.

Closest ancestors · 6

Same direction, newest first

  1. 2025Where Did This Sentence Come From? Tracing Provenance in LLM Reasoning Distillation24 Dec
  2. 2025Towards Efficient CoT Distillation: Self-Guided Rationale Selector for Better Performance with Fewer Rationales28 Sep
  3. 2025Learning from Diverse Reasoning Paths with Routing and Collaboration23 Aug
  4. 2025Beyond Scaling Law: A Data-Efficient Distillation Framework for Reasoning13 Aug
  5. 2025NaturalThoughts: Selecting and Distilling Reasoning Traces for General Reasoning Tasks2 Jul
  6. 2025Reasoning with OmniThought: A Large CoT Dataset with Verbosity and Cognitive Difficulty Annotations16 May

Other references · 35

  1. 2015Distilling the Knowledge in a Neural Networkcited by 10,076
  2. 2025Qwen3 Technical Reportcited by 8,195
  3. 2021Emerging Properties in Self-Supervised Vision Transformerscited by 6,893
  4. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,146
  5. 2019The Curious Case of Neural Text Degenerationcited by 2,881
  6. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
  7. 2016Categorical Reparameterization with Gumbel-Softmaxcited by 2,708
  8. 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 1,906
  9. 2025Gemma 3 Technical Reportcited by 1,686
  10. 2022Competition-Level Code Generation with AlphaCodecited by 1,427
  11. 2025s1: Simple test-time scalingcited by 1,311
  12. 2025gpt-oss-120b & gpt-oss-20b Model Cardcited by 1,258
23 more
  1. 2024ChatGLM: A Family of Large Language Models from GLM-130B to GLM-4 All Toolscited by 1,096
  2. 2021iBOT: Image BERT Pre-Training with Online Tokenizercited by 891
  3. 2021Measuring Coding Challenge Competence With APPScited by 879
  4. 2023On-Policy Distillation of Language Models: Learning from Self-Generated Mistakescited by 840
  5. 2016Sequence-Level Knowledge Distillationcited by 761
  6. 2015Sequence Level Training with Recurrent Neural Networkscited by 568
  7. 2025LIMO: Less is More for Reasoningcited by 488
  8. 2025OpenThoughts: Data Recipes for Reasoning Modelscited by 287
  9. 2025DeepMath-103K: A Large-Scale, Challenging, Decontaminated, and Verifiable Mathematical Dataset for Advancing Reasoningcited by 261
  10. 2025Light-R1: Curriculum SFT, DPO and RL for Long COT from Scratch and Beyondcited by 175
  11. 2025AIMO-2 Winning Solution: Building State-of-the-Art Mathematical Reasoning Models with OpenMathReasoning datasetcited by 165
  12. 2025Llama-Nemotron: Efficient Reasoning Modelscited by 151
  13. 2023TACO: Topics in Algorithmic COde generation datasetcited by 150
  14. 2022Curriculum Temperature for Knowledge Distillationcited by 110
  15. 2025OpenCodeReasoning: Advancing Data Distillation for Competitive Codingcited by 106
  16. 2025AceReason-Nemotron: Advancing Math and Code Reasoning through Reinforcement Learningcited by 85
  17. 2025Nemotron 3 Nano: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoningcited by 85
  18. 2025Retaining by Doing: The Role of On-Policy Data in Mitigating Forgettingcited by 82
  19. 20251.4 Million Open-Source Distilled Reasoning Dataset to Empower Large Language Model Trainingcited by 49
  20. 2025Prismatic Synthesis: Gradient-based Data Diversification Boosts Generalization in LLM Reasoningcited by 38
  21. 2025AM-Thinking-v1: Advancing the Frontier of Reasoning at 32B Scalecited by 29
  22. 2025MiroMind-M1: An Open-Source Advancement in Mathematical Reasoning via Context-Aware Multi-Stage Policy Optimizationcited by 12
  23. 2025Exploring Solution Divergence and Its Effect on Large Language Model Problem Solvingcited by 2

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Citing papers per year: 2026: 13.

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  1. 2025Distilling the Essence: Efficient Reasoning Distillation via Sequence Truncation
  2. 2026Distribution Corrected Offline Data Distillation for Large Language Models
  3. 2025Merge-of-Thought Distillation
  4. 2026MI-Distillation: Selecting from Model-Interpolated Instruct-Reasoning Data Spectrum for Chain-of-Thought Distillation
  5. 2025The Quest for Efficient Reasoning: A Data-Centric Benchmark to CoT Distillation
  6. 2026Improving Reasoning Capabilities in Small Models through Mixture-of-Layers Distillation with Stepwise Attention on Key Information
  7. 2025Not All Correct Answers Are Equal: Why Your Distillation Source Matters
  8. 2026Long-Chain Reasoning Distillation via Adaptive Prefix Alignment