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Large language models (LLMs) have achieved remarkable progress in reasoning tasks, yet the optimal integration of Supervised Fine-Tuning (SFT) and Reinforcement Learning (RL) remains a fundamental challenge. Through comprehensive analysis…

Computation and Language · Computer Science 2025-06-25 Yuqian Fu , Tinghong Chen , Jiajun Chai , Xihuai Wang , Songjun Tu , Guojun Yin , Wei Lin , Qichao Zhang , Yuanheng Zhu , Dongbin Zhao

Large language models (LLMs) are typically trained by reinforcement learning (RL) with verifiable rewards (RLVR) and supervised fine-tuning (SFT) on reasoning traces to improve their reasoning abilities. However, how these methods shape…

Artificial Intelligence · Computer Science 2026-05-28 Kohsei Matsutani , Shota Takashiro , Gouki Minegishi , Takeshi Kojima , Yusuke Iwasawa , Yutaka Matsuo

Recent advances in vision-language models (VLMs) reasoning have been largely attributed to the rise of reinforcement Learning (RL), which has shifted the community's focus away from the supervised fine-tuning (SFT) paradigm. Many studies…

Large Language Models (LLMs) show strong reasoning abilities, often amplified by Chain-of-Thought (CoT) prompting and reinforcement learning (RL). Although RL algorithms can substantially improve reasoning, they struggle to expand reasoning…

Computation and Language · Computer Science 2025-10-07 Xiangchi Yuan , Xiang Chen , Tong Yu , Dachuan Shi , Can Jin , Wenke Lee , Saayan Mitra

Recent advancements in large language models (LLMs) have demonstrated impressive chain-of-thought reasoning capabilities, with reinforcement learning (RL) playing a crucial role in this progress. While "aha moment" patterns--where models…

Computation and Language · Computer Science 2025-07-24 Lai Wei , Yuting Li , Kaipeng Zheng , Chen Wang , Yue Wang , Linghe Kong , Lichao Sun , Weiran Huang

Supervised fine-tuning (SFT) has emerged as one of the most effective ways to improve the performance of large language models (LLMs) in downstream tasks. However, SFT can have difficulty generalizing when the underlying data distribution…

Computation and Language · Computer Science 2025-12-15 Mrinal Rawat , Arkajyoti Chakraborty , Neha Gupta , Roberto Pieraccini

Post-training of large language models routinely interleaves supervised fine-tuning (SFT) with reinforcement learning (RL). These two methods have different objectives: SFT minimizes the cross-entropy loss between model outputs and expert…

Machine Learning · Computer Science 2026-05-07 Xueyan Niu , Bo Bai , Wei Han , Weixi Zhang

In recent years, large language models (LLMs) have demonstrated significant potential in complex reasoning tasks like mathematical problem-solving. However, existing research predominantly relies on reinforcement learning (RL) frameworks…

Machine Learning · Computer Science 2026-01-12 ShaoZhen Liu , Xinting Huang , Houwen Peng , Xin Chen , Xinyang Song , Qi Li , Zhenan Sun

Pre-trained Large Language Model (LLM) exhibits broad capabilities, yet, for specific tasks or domains their attainment of higher accuracy and more reliable reasoning generally depends on post-training through Supervised Fine-Tuning (SFT)…

Artificial Intelligence · Computer Science 2026-03-17 Haitao Jiang , Wenbo Zhang , Jiarui Yao , Hengrui Cai , Sheng Wang , Rui Song

Large Language Models (LLMs) are typically fine-tuned for reasoning tasks through a two-stage pipeline of Supervised Fine-Tuning (SFT) followed by Reinforcement Learning (RL), a process fraught with catastrophic forgetting and suboptimal…

Machine Learning · Computer Science 2025-10-13 Lixuan He , Jie Feng , Yong Li

Enhancing the reasoning capabilities of Large Language Models (LLMs) with efficiency and scalability remains a fundamental challenge in artificial intelligence research. This paper presents a rigorous experimental investigation into how…

Computation and Language · Computer Science 2025-04-02 Yunjie Ji , Sitong Zhao , Xiaoyu Tian , Haotian Wang , Shuaiting Chen , Yiping Peng , Han Zhao , Xiangang Li

Enhancing the mathematical reasoning of Large Language Models (LLMs) is a pivotal challenge in advancing AI capabilities. While Supervised Fine-Tuning (SFT) and Reinforcement Learning (RL) are the dominant training paradigms, a systematic…

Machine Learning · Computer Science 2025-07-14 Hiroshi Yoshihara , Taiki Yamaguchi , Yuichi Inoue

Automatic code generation has been a longstanding research topic. With the advancement of general-purpose large language models (LLMs), the ability to code stands out as one important measure to the model's reasoning performance. Usually, a…

Software Engineering · Computer Science 2024-12-18 Jie Chen , Xintian Han , Yu Ma , Xun Zhou , Liang Xiang

Enhancing the complex reasoning capabilities of Large Language Models (LLMs) attracts widespread attention. While reinforcement learning (RL) has shown superior performance for improving complex reasoning, its impact on cross-lingual…

Computation and Language · Computer Science 2025-09-30 Shulin Huang , Yiran Ding , Junshu Pan , Yue Zhang

Large language models (LLMs) excel at mathematical reasoning and logical problem-solving. The current popular training paradigms primarily use supervised fine-tuning (SFT) and reinforcement learning (RL) to enhance the models' reasoning…

Machine Learning · Computer Science 2025-08-05 Jack Chen , Fazhong Liu , Naruto Liu , Yuhan Luo , Erqu Qin , Harry Zheng , Tian Dong , Haojin Zhu , Yan Meng , Xiao Wang

Recent advancements in large language models (LLMs) have witnessed a surge in the development of advanced reasoning paradigms, which are now being integrated into multimodal large language models (MLLMs). However, existing approaches often…

Artificial Intelligence · Computer Science 2025-06-27 Haibo Qiu , Xiaohan Lan , Fanfan Liu , Xiaohu Sun , Delian Ruan , Peng Shi , Lin Ma

Reinforcement learning (RL) has proven highly effective in eliciting the reasoning capabilities of large language models (LLMs). Inspired by this success, recent studies have explored applying similar techniques to vision-language models…

Computer Vision and Pattern Recognition · Computer Science 2025-10-20 Yan Chen , Long Li , Teng Xi , Long Zeng , Jingdong Wang

Recent advances in large language model (LLM) reasoning have shown that sophisticated behaviors such as planning and self-reflection can emerge through reinforcement learning (RL). However, despite these successes, RL in its current form…

Artificial Intelligence · Computer Science 2026-03-12 Lu Ma , Hao Liang , Meiyi Qiang , Lexiang Tang , Xiaochen Ma , Zhen Hao Wong , Junbo Niu , Chengyu Shen , Runming He , Yanhao Li , Bin Cui , Wentao Zhang

Large vision-language models (VLMs) increasingly adopt post-training techniques such as long chain-of-thought (CoT) supervised fine-tuning (SFT) and reinforcement learning (RL) to elicit sophisticated reasoning. While these methods exhibit…

Computation and Language · Computer Science 2025-07-11 Jierun Chen , Tiezheng Yu , Haoli Bai , Lewei Yao , Jiannan Wu , Kaican Li , Fei Mi , Chaofan Tao , Lei Zhu , Manyi Zhang , Xiaohui Li , Lu Hou , Lifeng Shang , Qun Liu

Large Language Models (LLMs) often struggle with problems that require multi-step reasoning. For small-scale open-source models, Reinforcement Learning with Verifiable Rewards (RLVR) fails when correct solutions are rarely sampled even…

Computation and Language · Computer Science 2026-03-02 Yihe Deng , I-Hung Hsu , Jun Yan , Zifeng Wang , Rujun Han , Gufeng Zhang , Yanfei Chen , Wei Wang , Tomas Pfister , Chen-Yu Lee
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