Distribution-Aligned Sequence Distillation for Superior Long-CoT Reasoning
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
- 2025Where Did This Sentence Come From? Tracing Provenance in LLM Reasoning Distillation24 Dec
- 2025Towards Efficient CoT Distillation: Self-Guided Rationale Selector for Better Performance with Fewer Rationales28 Sep
- 2025Learning from Diverse Reasoning Paths with Routing and Collaboration23 Aug
- 2025Beyond Scaling Law: A Data-Efficient Distillation Framework for Reasoning13 Aug
- 2025NaturalThoughts: Selecting and Distilling Reasoning Traces for General Reasoning Tasks2 Jul
- 2025Reasoning with OmniThought: A Large CoT Dataset with Verbosity and Cognitive Difficulty Annotations16 May
Other references · 35
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- 2019The Curious Case of Neural Text Degenerationcited by 2,881
- 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
- 2016Categorical Reparameterization with Gumbel-Softmaxcited by 2,708
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- 2023On-Policy Distillation of Language Models: Learning from Self-Generated Mistakescited by 840
- 2016Sequence-Level Knowledge Distillationcited by 761
- 2015Sequence Level Training with Recurrent Neural Networkscited by 568
- 2025LIMO: Less is More for Reasoningcited by 488
- 2025OpenThoughts: Data Recipes for Reasoning Modelscited by 287
- 2025DeepMath-103K: A Large-Scale, Challenging, Decontaminated, and Verifiable Mathematical Dataset for Advancing Reasoningcited by 261
- 2025Light-R1: Curriculum SFT, DPO and RL for Long COT from Scratch and Beyondcited by 175
- 2025AIMO-2 Winning Solution: Building State-of-the-Art Mathematical Reasoning Models with OpenMathReasoning datasetcited by 165
- 2025Llama-Nemotron: Efficient Reasoning Modelscited by 151
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- 2025AceReason-Nemotron: Advancing Math and Code Reasoning through Reinforcement Learningcited by 85
- 2025Nemotron 3 Nano: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoningcited by 85
- 2025Retaining by Doing: The Role of On-Policy Data in Mitigating Forgettingcited by 82
- 20251.4 Million Open-Source Distilled Reasoning Dataset to Empower Large Language Model Trainingcited by 49
- 2025Prismatic Synthesis: Gradient-based Data Diversification Boosts Generalization in LLM Reasoningcited by 38
- 2025AM-Thinking-v1: Advancing the Frontier of Reasoning at 32B Scalecited by 29
- 2025MiroMind-M1: An Open-Source Advancement in Mathematical Reasoning via Context-Aware Multi-Stage Policy Optimizationcited by 12
- 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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- 2026PACED: Distillation and On-Policy Self-Distillation at the Frontier of Student Competencecited by 26
- 2026Purified OPSD: On-Policy Self-Distillation Without Losing How to Thinkcited by 23
- 2026Prefix Teach, Suffix Fade: Local Teachability Collapse in Strong-to-Weak On-Policy Distillationcited by 13
- 2026Adaptive Teacher Exposure for Self-Distillation in LLM Reasoningcited by 9
- 2026Nanbeige4.1-3B: A Small General Model that Reasons, Aligns, and Actscited by 5
- 2026ReasonXL: Shifting LLM Reasoning Language Without Sacrificing Performancecited by 5
- 2026Decomposing the Basic Abilities of Large Language Models: Mitigating Cross-Task Interference in Multi-Task Instruct-Tuningcited by 5
- 2026Backtracking When It Strays: Mitigating Dual Exposure Biases in LLM Reasoning Distillationcited by 5
- 2026Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separationcited by 3
- 2026ResearchMath-14K: Scaling Research-Level Mathematics via Agentscited by 2
- 2026Capacity-Dependent Effects of Data Selection for Reasoningcited by 1
- 2026Rufus-Air: An Open LLM Post-Training Recipecited by 0
- 2026Estimating and Orthogonalizing Unknown Pre-training Gradients for Continual Fine-tuning of Large Language Models25 Sep 2026
- 2026Rufus-Air: An Open LLM Post-Training Recipe24 Sep 2026
- 2026Capacity-Dependent Effects of Data Selection for Reasoning13 Aug 2026
- 2026Purified OPSD: On-Policy Self-Distillation Without Losing How to Think2 Jul 2026
- 2026ResearchMath-14K: Scaling Research-Level Mathematics via Agents27 May 2026
- 2026Backtracking When It Strays: Mitigating Dual Exposure Biases in LLM Reasoning Distillation19 May 2026
- 2026Prefix Teach, Suffix Fade: Local Teachability Collapse in Strong-to-Weak On-Policy Distillation13 May 2026
- 2026Adaptive Teacher Exposure for Self-Distillation in LLM Reasoning12 May 2026
- 2026Decomposing the Basic Abilities of Large Language Models: Mitigating Cross-Task Interference in Multi-Task Instruct-Tuning7 May 2026
- 2026Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation29 Apr 2026
- 2026ReasonXL: Shifting LLM Reasoning Language Without Sacrificing Performance14 Apr 2026
- 2026PACED: Distillation and On-Policy Self-Distillation at the Frontier of Student Competence11 Mar 2026
1 more
- 2026Purified OPSD: On-Policy Self-Distillation Without Losing How to Thinkcited by 23
- 2026Adaptive Teacher Exposure for Self-Distillation in LLM Reasoningcited by 9
- 2026Nanbeige4.1-3B: A Small General Model that Reasons, Aligns, and Actscited by 5
- 2026ReasonXL: Shifting LLM Reasoning Language Without Sacrificing Performancecited by 5
- 2026Backtracking When It Strays: Mitigating Dual Exposure Biases in LLM Reasoning Distillationcited by 5
- 2026Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separationcited by 3
- 2026Purified OPSD: On-Policy Self-Distillation Without Losing How to Think2 Jul 2026
- 2026Backtracking When It Strays: Mitigating Dual Exposure Biases in LLM Reasoning Distillation19 May 2026
- 2026Adaptive Teacher Exposure for Self-Distillation in LLM Reasoning12 May 2026
- 2026Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation29 Apr 2026
- 2026ReasonXL: Shifting LLM Reasoning Language Without Sacrificing Performance14 Apr 2026
- 2026Nanbeige4.1-3B: A Small General Model that Reasons, Aligns, and Acts13 Feb 2026
- 2026Rufus-Air: An Open LLM Post-Training Recipecited by 0
- 2026Rufus-Air: An Open LLM Post-Training Recipe24 Sep 2026
- 2026PACED: Distillation and On-Policy Self-Distillation at the Frontier of Student Competencecited by 26
- 2026Prefix Teach, Suffix Fade: Local Teachability Collapse in Strong-to-Weak On-Policy Distillationcited by 13
- 2026Decomposing the Basic Abilities of Large Language Models: Mitigating Cross-Task Interference in Multi-Task Instruct-Tuningcited by 5
- 2026Capacity-Dependent Effects of Data Selection for Reasoningcited by 1
- 2026Estimating and Orthogonalizing Unknown Pre-training Gradients for Continual Fine-tuning of Large Language Modelscited by 0
- 2026Estimating and Orthogonalizing Unknown Pre-training Gradients for Continual Fine-tuning of Large Language Models25 Sep 2026
- 2026Capacity-Dependent Effects of Data Selection for Reasoning13 Aug 2026
- 2026Prefix Teach, Suffix Fade: Local Teachability Collapse in Strong-to-Weak On-Policy Distillation13 May 2026
- 2026Decomposing the Basic Abilities of Large Language Models: Mitigating Cross-Task Interference in Multi-Task Instruct-Tuning7 May 2026
- 2026PACED: Distillation and On-Policy Self-Distillation at the Frontier of Student Competence11 Mar 2026
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