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Recent supervised fine-tuning (SFT) approaches have significantly improved language models' performance on mathematical reasoning tasks, even when models are trained at a small scale. However, the specific capabilities enhanced through such…

Artificial Intelligence · Computer Science 2026-01-12 Yiyou Sun , Georgia Zhou , Haoyue Bai , Hao Wang , Dacheng Li , Nouha Dziri , Dawn Song

Recent advancements in Chain of Thought (COT) generation have significantly improved the reasoning capabilities of Large Language Models (LLMs), with reinforcement learning (RL) emerging as an effective post-training approach. Multimodal…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Yi Chen , Yuying Ge , Rui Wang , Yixiao Ge , Lu Qiu , Ying Shan , Xihui Liu

Supervised Fine-Tuning (SFT) and Reinforcement Learning (RL) dominate the post-training landscape for mathematical reasoning, yet differ fundamentally in their reliance on expert trajectories. To understand the optimal way to harness these…

Machine Learning · Computer Science 2026-05-12 Bowen Ding , Yuhan Chen , Jiayang Lyv , Jiyao Yuan , Qi Zhu , Shuangshuang Tian , Dantong Zhu , Futing Wang , Heyuan Deng , Fei Mi , Lifeng Shang , Tao Lin

Scaling test-time compute has emerged as a powerful mechanism for enhancing Large Language Model (LLM) performance. However, standard post-training paradigms, Supervised Fine-Tuning (SFT) and Reinforcement Learning (RL), optimize the…

Machine Learning · Computer Science 2026-05-21 Adam Ousherovitch , Ambuj Tewari

Large Language Models (LLMs) with reasoning capabilities have achieved state-of-the-art performance on a wide range of tasks. Despite its empirical success, the tasks and model scales at which reasoning becomes effective, as well as its…

Computation and Language · Computer Science 2025-09-29 Nicolas Boizard , Hippolyte Gisserot-Boukhlef , Kevin El-Haddad , Céline Hudelot , Pierre Colombo

Table reasoning, encompassing tasks such as table question answering, fact verification, and text-to-SQL, requires precise understanding of structured tabular data, coupled with numerical computation and code manipulation for effective…

Computation and Language · Computer Science 2025-06-03 Fangyu Lei , Jinxiang Meng , Yiming Huang , Tinghong Chen , Yun Zhang , Shizhu He , Jun Zhao , Kang Liu

One way to enhance the reasoning capability of Large Language Models (LLMs) is to conduct Supervised Fine-Tuning (SFT) using Chain-of-Thought (CoT) annotations. This approach does not show sufficiently strong generalization ability,…

Computation and Language · Computer Science 2024-12-16 Trung Quoc Luong , Xinbo Zhang , Zhanming Jie , Peng Sun , Xiaoran Jin , Hang Li

Training large language models (LLMs) for reasoning via maths and code datasets has become a major new focus in LLM post-training. Two particularly popular approaches are reinforcement learning (RL) and supervised fine-tuning (SFT), but…

Machine Learning · Computer Science 2025-07-28 Neel Rajani , Aryo Pradipta Gema , Seraphina Goldfarb-Tarrant , Ivan Titov

In this work, we introduce Reinforcement Pre-Training (RPT) as a new scaling paradigm for large language models and reinforcement learning (RL). Specifically, we reframe next-token prediction as a reasoning task trained using RL, where it…

Computation and Language · Computer Science 2025-06-10 Qingxiu Dong , Li Dong , Yao Tang , Tianzhu Ye , Yutao Sun , Zhifang Sui , Furu Wei

In this paper, we introduce AceMath, a suite of frontier math models that excel in solving complex math problems, along with highly effective reward models capable of evaluating generated solutions and reliably identifying the correct ones.…

Computation and Language · Computer Science 2025-01-20 Zihan Liu , Yang Chen , Mohammad Shoeybi , Bryan Catanzaro , Wei Ping

Supervised Fine-Tuning (SFT) and Reinforcement Learning (RL) are two prominent post-training paradigms for refining the capabilities and aligning the behavior of Large Language Models (LLMs). Existing approaches that integrate SFT and RL…

Machine Learning · Computer Science 2026-03-18 Wenhao Zhang , Yuexiang Xie , Yuchang Sun , Yanxi Chen , Guoyin Wang , Yaliang Li , Bolin Ding , Jingren Zhou

Enhancing the reasoning capabilities of large language models (LLMs) typically relies on massive computational resources and extensive datasets, limiting accessibility for resource-constrained settings. Our study investigates the potential…

Machine Learning · Computer Science 2026-01-21 Quy-Anh Dang , Chris Ngo

Post-training of large language models involves a fundamental trade-off between supervised fine-tuning (SFT), which efficiently mimics demonstrations but tends to memorize, and reinforcement learning (RL), which achieves better…

Machine Learning · Computer Science 2026-02-03 He Zhu , Junyou Su , Peng Lai , Ren Ma , Wenjia Zhang , Linyi Yang , Guanhua Chen

Advanced reasoning in LLMs on challenging domains like mathematical reasoning can be tackled using verifiable rewards based reinforced fine-tuning (ReFT). In standard ReFT frameworks, a behavior model generates multiple completions with…

Machine Learning · Computer Science 2025-11-25 Maxime Heuillet , Yufei Cui , Boxing Chen , Audrey Durand , Prasanna Parthasarathi

The recent DeepSeek-R1 release has demonstrated the immense potential of reinforcement learning (RL) in enhancing the general reasoning capabilities of large language models (LLMs). While DeepSeek-R1 and other follow-up work primarily focus…

Large Reasoning Models (LRMs) have recently shown impressive performance on complex reasoning tasks, often by engaging in self-reflective behaviors such as self-critique and backtracking. However, not all reflections are beneficial-many are…

Artificial Intelligence · Computer Science 2026-01-21 Hanbin Wang , Jingwei Song , Jinpeng Li , Qi Zhu , Fei Mi , Ganqu Cui , Yasheng Wang , Lifeng Shang

Reinforcement learning (RL) has become the dominant paradigm for improving the performance of language models on complex reasoning tasks. Despite the substantial empirical gains demonstrated by RL-based training methods like GRPO, a…

Artificial Intelligence · Computer Science 2025-10-27 Jiayu Wang , Yifei Ming , Zixuan Ke , Caiming Xiong , Shafiq Joty , Aws Albarghouthi , Frederic Sala

Continual post-training (CPT) is a popular and effective technique for adapting foundation models like multimodal large language models to specific and ever-evolving downstream tasks. While existing research has primarily concentrated on…

Machine Learning · Computer Science 2026-01-22 Song Lai , Haohan Zhao , Rong Feng , Changyi Ma , Wenzhuo Liu , Hongbo Zhao , Xi Lin , Dong Yi , Qingfu Zhang , Hongbin Liu , Gaofeng Meng , Fei Zhu

In this report, we present the third technical report on the development of slow-thinking models as part of the STILL project. As the technical pathway becomes clearer, scaling RL training has become a central technique for implementing…

Computation and Language · Computer Science 2025-03-07 Zhipeng Chen , Yingqian Min , Beichen Zhang , Jie Chen , Jinhao Jiang , Daixuan Cheng , Wayne Xin Zhao , Zheng Liu , Xu Miao , Yang Lu , Lei Fang , Zhongyuan Wang , Ji-Rong Wen

The growing disparity between the exponential scaling of computational resources and the finite growth of high-quality text data now constrains conventional scaling approaches for large language models (LLMs). To address this challenge, we…