Reference solutions and question-specific rubrics are not always available to guide the teacher in self-distillation. A large language model's own solution attempts offer an alternative, but their quality is difficult to assess in open-ended tasks without automatic correctness checks, and even correct attempts can involve uncertain token predictions. We propose Reliability--Uncertainty Self-Distillation (\method{}) to learn from these attempts. The same model serves as teacher and student: the teacher receives the question and completed attempt, and the student matches the teacher's token-level predictions using a question-only prompt. \method{} weights each attempt's distillation loss by additively combining judged reliability, estimated from a self-judge's score and confidence, with student predictive uncertainty. Across eleven reasoning benchmarks, \method{} outperforms all five baselines in average accuracy, reaching 70.47\% on Qwen3-4B and 76.69\% on Qwen3-8B (8.90 and 2.10 percentage points above the base models). Data and code are available at https://github.com/JP-25/RUSD.
Reasoning Compression with Mixed-Policy Distillation
Technical University of Munich(慕尼黑技术大学);GESIS – Leibniz Institute for the Social Sciences(莱布尼茨社会科学研究所);Northeastern University(东北大学);LMU Munich(慕尼黑大学);Siemens AG(西门子股份公司);University of Cambridge(剑桥大学);University of Oxford(牛津大学);Mina AI
Federated Reasoning Distillation Framework with Model Learnability-Aware Data Allocation
Beihang University(北航);Heilongjiang University(黑龙江大学);Beijing University of Civil Engineering and Architecture(北京建筑大学);Yanshan University(燕山大学);Shandong University(山东大学);Renmin University of China(中国人民大学)
Learning to Revise Reasoning with Segment-wise On-Policy Distillation
The Hong Kong University of Science and Technology (Guangzhou)(香港科技大学(广州));University of Science and Technology of China(中国科学技术大学);Alibaba Group(阿里巴巴集团);Stanford University(斯坦福大学)
Hán Dān Xué Bù (Mimicry) or Qīng Chū Yú Lán (Mastery)? A Cognitive Perspective on Reasoning Distillation in Large Language Models
School of Philosophy, Anhui University(安徽大学哲学学院);Institute of Neuroscience, Chinese Academy of Sciences(中国科学院神经科学研究所);Faculty of Education, University of Cambridge(剑桥大学教育学院);School of Foreign Studies, South China Normal University(华南师范大学外语学院);Division of Psychology and Language Sciences, University College London(伦敦大学学院心理学与语言科学系)
Backtracking When It Strays: Mitigating Dual Exposure Biases in LLM Reasoning Distillation
College of Computer Science and Technology, Jilin University(吉林大学计算机科学与技术学院);Key Laboratory of Symbolic Computation and Knowledge Engineering, MoE, Jilin University(吉林大学符号计算与知识工程重点实验室);Tongyi Lab, Alibaba Group(阿里集团通义实验室);College of Computer Science and Technology, Zhejiang University(浙江大学计算机科学与技术学院);School of Artificial Intelligence, Jilin University(吉林大学人工智能学院)
Key-Point-Driven Mathematical Reasoning Distillation of Large Language Model
Institute of Information Engineering, Chinese Academy of Sciences(中国科学院信息工程研究所);School of Cyber Security, University of Chinese Academy of Sciences(中国科学院大学网络空间安全学院);School of Artificial Intelligence, Beijing Normal University(北京师范大学人工智能学院)
Teacher-Guided Policy Optimization for On-Policy Reasoning Distillation under Large Policy Divergence
School of Computer Science and Engineering, Northeastern University, China(东北大学计算机科学与工程学院);Tsinghua University(清华大学);Meituan(美团);Meta AI;NiuTrans Research, Shenyang, China(新译研究院,沈阳,中国)
Improve Student's Reasoning Generalizability through Cascading Decomposed CoTs Distillation
Institute of Information Engineering, Chinese Academy of Sciences(中国科学院信息工程研究所);School of Cyber Security, University of Chinese Academy of Sciences(中国科学院大学网络空间安全学院)