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Autori principali: Zhang, Xuechen, Huang, Zijian, Ni, Chenshun, Xiong, Ziyang, Chen, Jiasi, Oymak, Samet
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2505.07961
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author Zhang, Xuechen
Huang, Zijian
Ni, Chenshun
Xiong, Ziyang
Chen, Jiasi
Oymak, Samet
author_facet Zhang, Xuechen
Huang, Zijian
Ni, Chenshun
Xiong, Ziyang
Chen, Jiasi
Oymak, Samet
contents Recent research enhances language model reasoning by scaling test-time compute via longer chain-of-thought traces. This often improves accuracy but also introduces redundancy and high computational cost, especially for small language models distilled with supervised fine-tuning (SFT). In this work, we propose new algorithms to improve token-efficient reasoning with small-scale models by effectively trading off accuracy and computation. We first show that the post-SFT model fails to determine the optimal stopping point of the reasoning process, resulting in verbose and repetitive outputs. Verbosity also significantly varies across wrong vs correct responses. To address these issues, we propose two solutions: (1) Temperature scaling (TS) to control the stopping point for the thinking phase and thereby trace length, and (2) TLDR: a length-regularized reinforcement learning method based on GRPO that facilitates multi-level trace length control (e.g. short, medium, long reasoning). Experiments on four reasoning benchmarks, MATH500, AMC, AIME24 and OlympiadBench, demonstrate that TS is highly effective compared to s1's budget forcing approach and TLDR significantly improves token efficiency by about 50% with minimal to no accuracy loss over the SFT baseline. Moreover, TLDR also facilitates flexible control over the response length, offering a practical and effective solution for token-efficient reasoning in small models. Ultimately, our work reveals the importance of stopping time control, highlights shortcomings of pure SFT, and provides effective algorithmic recipes.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07961
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Making Small Language Models Efficient Reasoners: Intervention, Supervision, Reinforcement
Zhang, Xuechen
Huang, Zijian
Ni, Chenshun
Xiong, Ziyang
Chen, Jiasi
Oymak, Samet
Machine Learning
Recent research enhances language model reasoning by scaling test-time compute via longer chain-of-thought traces. This often improves accuracy but also introduces redundancy and high computational cost, especially for small language models distilled with supervised fine-tuning (SFT). In this work, we propose new algorithms to improve token-efficient reasoning with small-scale models by effectively trading off accuracy and computation. We first show that the post-SFT model fails to determine the optimal stopping point of the reasoning process, resulting in verbose and repetitive outputs. Verbosity also significantly varies across wrong vs correct responses. To address these issues, we propose two solutions: (1) Temperature scaling (TS) to control the stopping point for the thinking phase and thereby trace length, and (2) TLDR: a length-regularized reinforcement learning method based on GRPO that facilitates multi-level trace length control (e.g. short, medium, long reasoning). Experiments on four reasoning benchmarks, MATH500, AMC, AIME24 and OlympiadBench, demonstrate that TS is highly effective compared to s1's budget forcing approach and TLDR significantly improves token efficiency by about 50% with minimal to no accuracy loss over the SFT baseline. Moreover, TLDR also facilitates flexible control over the response length, offering a practical and effective solution for token-efficient reasoning in small models. Ultimately, our work reveals the importance of stopping time control, highlights shortcomings of pure SFT, and provides effective algorithmic recipes.
title Making Small Language Models Efficient Reasoners: Intervention, Supervision, Reinforcement
topic Machine Learning
url https://arxiv.org/abs/2505.07961