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Test-time scaling (TTS) -- the dynamic allocation of compute during inference -- is a promising direction for improving reasoning in large language models (LLMs). However, a systematic comparison of well-known TTS strategies under identical…

Computation and Language · Computer Science 2025-12-02 Aradhye Agarwal , Ayan Sengupta , Tanmoy Chakraborty

Test-time scaling has proven effective in further enhancing the performance of pretrained Large Language Models (LLMs). However, mainstream post-training methods (i.e., reinforcement learning (RL) with chain-of-thought (CoT) reasoning)…

Machine Learning · Computer Science 2025-08-19 Yuyang Xu , Yi Cheng , Haochao Ying , Zhuoyun Du , Renjun Hu , Xing Shi , Wei Lin , Jian Wu

Post-training has demonstrated its importance in enhancing the reasoning capabilities of large language models (LLMs). The primary post-training methods can be categorized into supervised fine-tuning (SFT) and reinforcement fine-tuning…

Machine Learning · Computer Science 2025-10-21 Mingyang Liu , Gabriele Farina , Asuman Ozdaglar

Supervised Fine-Tuning (SFT) followed by Reinforcement Learning (RL) has emerged as the standard post-training paradigm for large language models (LLMs). However, the conventional SFT process, driven by Cross-Entropy (CE) loss, often…

Computation and Language · Computer Science 2026-02-10 Yijie Chen , Yijin Liu , Fandong Meng

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…

Supervised Fine-Tuning (SFT) is widely used for task-specific adaptation, yet recent work shows it systematically undermines reasoning generalization. We argue the root cause is not memorization itself, but its target: vanilla SFT drives…

Machine Learning · Computer Science 2026-05-26 Ruiying Peng , Mengyu Yang , Jing Lei , Xiaohui Li , Xueyu Wu , Xinlei Chen

In this work, we present a simple yet theoretically motivated improvement to Supervised Fine-Tuning (SFT) for the Large Language Model (LLM), addressing its limited generalization compared to reinforcement learning (RL). Through…

Machine Learning · Computer Science 2026-03-02 Yongliang Wu , Yizhou Zhou , Zhou Ziheng , Yingzhe Peng , Xinyu Ye , Xinting Hu , Wenbo Zhu , Lu Qi , Ming-Hsuan Yang , Xu Yang

Large language models (LLMs) can face factual limitations when responding to time-sensitive queries about recent events that arise after their knowledge thresholds in the training corpus. Existing search-augmented approaches fall into two…

Information Retrieval · Computer Science 2025-06-11 Wentao Shi , Yiqing Shen

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

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

Recent advances in post-training techniques have endowed Large Language Models (LLMs) with enhanced capabilities for tackling complex, logic-intensive tasks through the generation of supplementary planning tokens. This development raises a…

Computation and Language · Computer Science 2026-04-29 Pratham Singla , Shivank Garg , Ayush Singh , Ishan Garg , Ketan Suhaas Saichandran

Supervised fine-tuning (SFT) is a standard approach to adapting large language models (LLMs) to new domains. In this work, we improve the statistical efficiency of SFT by selecting an informative subset of training examples. Specifically,…

Machine Learning · Computer Science 2025-05-22 Rohan Deb , Kiran Thekumparampil , Kousha Kalantari , Gaurush Hiranandani , Shoham Sabach , Branislav Kveton

Reinforcement Learning (RL) has played a central role in the recent surge of LLMs' math abilities by enabling self-improvement through binary verifier signals. In contrast, Supervised Learning (SL) is rarely considered for such…

Machine Learning · Computer Science 2026-03-03 Huayu Chen , Kaiwen Zheng , Qinsheng Zhang , Ganqu Cui , Lifan Yuan , Yin Cui , Haotian Ye , Tsung-Yi Lin , Ming-Yu Liu , Jun Zhu , Haoxiang Wang

Improving the reasoning capabilities of large language models (LLMs) typically requires supervised fine-tuning with labeled data or computationally expensive sampling. We introduce Unsupervised Prefix Fine-Tuning (UPFT), which leverages the…

Computation and Language · Computer Science 2025-03-05 Ke Ji , Jiahao Xu , Tian Liang , Qiuzhi Liu , Zhiwei He , Xingyu Chen , Xiaoyuan Liu , Zhijie Wang , Junying Chen , Benyou Wang , Zhaopeng Tu , Haitao Mi , Dong Yu

Post-training paradigms for Large Language Models (LLMs), primarily Supervised Fine-Tuning (SFT) and Reinforcement Learning (RL), face a fundamental dilemma: SFT provides stability (low variance) but suffers from high fitting bias, while RL…

Machine Learning · Computer Science 2026-04-13 Taojie Zhu , Dongyang Xu , Ding Zou , Sen Zhao , Qiaobo Hao , Zhiguo Yang , Yonghong He

Proximal Policy Optimization (PPO) is central to aligning Large Language Models (LLMs) in reasoning tasks with verifiable rewards. However, standard token-level PPO struggles in this setting due to the instability of temporal credit…

Artificial Intelligence · Computer Science 2026-04-13 Tianyi Wang , Yixia Li , Long Li , Yibiao Chen , Shaohan Huang , Yun Chen , Peng Li , Yang Liu , Guanhua Chen

Since the advent of reasoning-based large language models, many have found great success from distilling reasoning capabilities into student models. Such techniques have significantly bridged the gap between reasoning and standard LLMs on…

Fine-tuning Large Language Models (LLMs) on specific datasets is a common practice to improve performance on target tasks. However, this performance gain often leads to overfitting, where the model becomes too specialized in either the task…

Computation and Language · Computer Science 2025-02-21 Sonam Gupta , Yatin Nandwani , Asaf Yehudai , Dinesh Khandelwal , Dinesh Raghu , Sachindra Joshi

Supervised Fine-Tuning (SFT) and Preference Optimization (PO) are key processes for aligning Language Models (LMs) with human preferences post pre-training. While SFT excels in efficiency and PO in effectiveness, they are often combined…

Computation and Language · Computer Science 2025-07-15 Ermo Hua , Biqing Qi , Kaiyan Zhang , Kai Tian , Xingtai Lv , Ning Ding , Bowen Zhou

Small language models (SLMs) are more efficient, cost-effective, and customizable than large language models (LLMs), though they often underperform in specific areas like reasoning. Past methods for enhancing SLMs' reasoning, such as…

Computation and Language · Computer Science 2024-12-12 Kaiyuan Chen , Jin Wang , Xuejie Zhang