Long Is More Important Than Difficult for Training Reasoning Models

Fuente: arXiv
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Autori principali: Shen, Si, Huang, Fei, Zhao, Zhixiao, Liu, Chang, Zheng, Tiansheng, Zhu, Danhao
Natura: Preprint
Pubblicazione: 2025
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author Shen, Si
Huang, Fei
Zhao, Zhixiao
Liu, Chang
Zheng, Tiansheng
Zhu, Danhao
author_facet Shen, Si
Huang, Fei
Zhao, Zhixiao
Liu, Chang
Zheng, Tiansheng
Zhu, Danhao
contents Difficult problems, which often result in long reasoning traces, are widely recognized as key factors for enhancing the performance of reasoning models. However, such high-challenge problems are scarce, limiting the size of available datasets. In this paper, we propose a simple method to decouple the reliance on problem difficulty. First, we empirically demonstrate that reasoning length, rather than problem difficulty, primarily influences the performance of trained models. Second, we identify a scaling law on reasoning length, showing that model performance increases in a log-linear fashion as the reasoning data length grows. Finally, we introduce a straightforward technique to generate reasoning data of arbitrary length, and show that synthesized data is effective for training reasoning models. After fine-tuning the Qwen2.5-32B-Instruct language model on our Long1K dataset, we present our model, Long1K-32B, which achieves remarkable performance with only 1,000 training samples, achieving 95.6\% accuracy on MATH, and 71.1\% on GPQA outperforming DeepSeek-R1-Distill-Qwen-32B. The model, code, and dataset are all open-sourced, available at https://huggingface.co/ZTss/LONG1.
format Preprint
id arxiv_https___arxiv_org_abs_2503_18069
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Long Is More Important Than Difficult for Training Reasoning Models
Shen, Si
Huang, Fei
Zhao, Zhixiao
Liu, Chang
Zheng, Tiansheng
Zhu, Danhao
Computation and Language
Difficult problems, which often result in long reasoning traces, are widely recognized as key factors for enhancing the performance of reasoning models. However, such high-challenge problems are scarce, limiting the size of available datasets. In this paper, we propose a simple method to decouple the reliance on problem difficulty. First, we empirically demonstrate that reasoning length, rather than problem difficulty, primarily influences the performance of trained models. Second, we identify a scaling law on reasoning length, showing that model performance increases in a log-linear fashion as the reasoning data length grows. Finally, we introduce a straightforward technique to generate reasoning data of arbitrary length, and show that synthesized data is effective for training reasoning models. After fine-tuning the Qwen2.5-32B-Instruct language model on our Long1K dataset, we present our model, Long1K-32B, which achieves remarkable performance with only 1,000 training samples, achieving 95.6\% accuracy on MATH, and 71.1\% on GPQA outperforming DeepSeek-R1-Distill-Qwen-32B. The model, code, and dataset are all open-sourced, available at https://huggingface.co/ZTss/LONG1.
title Long Is More Important Than Difficult for Training Reasoning Models
topic Computation and Language
url https://arxiv.org/abs/2503.18069