arXiv AI

Structural Rationale Distillation via Reasoning Space Compression

arXiv AI
Jun 30

Beyond Scaling Law: A Data-Efficient Distillation Framework for Reasoning

arXiv:2508. 09883v2 Announce Type: replace-cross Abstract: Large language models (LLMs) demonstrate remarkable reasoning capabilities in tasks such as algorithmic coding and mathematical problem-solving.

By Xiaojun Wu, Xiaoguang Jiang, Huiyang Li, Jucai Zhai, Dengfeng Liu, Qiaobo Hao, Huang Liu, Zhiguo Yang, Ji Xie, Ninglun Gu, Jin Yang, Kailai Zhang, Yelun Bao, Jun Wang
arXiv AI
Oct 12

BoundaryEvo: Data-Model Co-Evolution at the Capability Boundary for Long-Chain Reasoning Distillation

BoundaryEvo introduces a two‑stage data‑model co‑evolution framework for distilling long‑chain reasoning from large teacher models into small language models. First, Capability Priming distills a small set of teacher trajectories to give the student an initial reasoning baseline. Then, Capability‑Boundary Co‑Evolution iteratively selects questions the student has not mastered but the teacher can solve, updating the training data as the student’s capability grows. With only 1,000 examples, BoundaryEvo improves Qwen3.5‑4B accuracy from 62.9 % to 75.3 % on IMO‑AnswerBench and from 26.8 % to 46.0 % on AMO‑Bench, outperforming static and dynamic baselines across 11 benchmarks.

By Jiaming Su, Suorong Yang, Xudong Li, Tengchao Yang, Peng Ye
arXiv AI
Oct 28

From Solver Trajectories to Teaching Trajectories: Cognition-Aligned Reasoning Distillation

The paper introduces Cognition-Aligned Reasoning Distillation (CARD), an RL-based method that converts solver trajectories from large reasoning models into teaching trajectories better suited for smaller student models. CARD uses two reward signals—a Distribution Alignment Reward and a Logical Coherence Reward—to align the teacher’s outputs with the student’s cognitive capabilities and reduce misleading reasoning steps. Experiments show that CARD improves both in-domain and out-of-distribution performance compared to distillation from raw teacher trajectories.

By Yashuo Luo, Qianren Mao, Ziqi Qin, Junnan Liu, Haitao Li, Qili Zhang, Yuan Gao, Zhijun Chen, Xu Wang
arXiv AI
Jul 14

BRIDGE: Bridging Reasoning In Distillation Gap Elimination via Structure-Aware Masking

arXiv:2602. 17686v5 Announce Type: replace-cross Abstract: Chain-of-Thought (CoT) reasoning has significantly improved LLMs' mathematical problem-solving capabilities, but distilling such capabilities into smaller models remains challenging due to the capacity mismatch between verbose teachers and compact students.

By Bowen Yu, Sheng Zhang, Binhao Wang, Yi Wen, Jingtong Gao, Bowen Liu, Zimo Zhao, Shanshan Ye, Wanyu Wang, Maolin Wang, Xiangyu Zhao
arXiv AI
6d ago

Validity-Calibrated Reasoning Distillation

The paper introduces Validity-Calibrated Reasoning Distillation, a new framework for transferring multi-step reasoning from large language models to smaller ones. Unlike prior methods that rely on static teacher‑student hierarchies and trajectory imitation, this approach treats distillation as a local learning‑signal allocation problem. By comparing the teacher’s and student’s next‑step actions under the same prefix and modulating updates based on their relative local validity, the method provides dynamic, context‑dependent supervision that preserves structural guidance while adapting to local reasoning quality. Experiments on math, code, and instruction‑following benchmarks show that this strategy outperforms strong distillation baselines.

By Khouloud Saadi, Di Wang
arXiv Computation and Language
Aug 24

Scale or Reason? A Compute-Equivalent Analysis of Reasoning Distillation

The paper investigates whether distilling reasoning traces from large teacher models is worth the extra compute compared to standard instruction fine‑tuning (IFT). By generating paired IFT and reasoning outputs from the same teacher and training student models at five scales, the authors find that, at matched FLOPs, IFT generally lies on or near the Pareto frontier across most configurations. Reasoning traces only reach the frontier on open‑ended tasks for models 7B and larger, and a curriculum mixing 25–50% reasoning data with IFT can capture most of the accuracy benefit at a lower compute cost.

By Nicolas Boizard, Hippolyte Gisserot-Boukhlef, Kevin El Haddad, C\'eline Hudelot, Pierre Colombo