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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

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

Generalization of neural networks is crucial for deploying them safely in the real world. Common training strategies to improve generalization involve the use of data augmentations, ensembling and model averaging. In this work, we first…

Machine Learning · Computer Science 2023-06-13 Samyak Jain , Sravanti Addepalli , Pawan Sahu , Priyam Dey , R. Venkatesh Babu

Supervised fine-tuning (SFT) of large language models can be viewed as an off-policy learning problem, where expert demonstrations come from a fixed behavior policy while training aims to optimize a target policy. Importance sampling is the…

Machine Learning · Computer Science 2025-09-22 Shiwan Zhao , Xuyang Zhao , Jiaming Zhou , Aobo Kong , Qicheng Li , Yong Qin

Supervised fine-tuning (SFT) is fundamental to adapting large language models, yet training on complete datasets incurs prohibitive costs with diminishing returns. Existing data selection methods suffer from severe domain specificity:…

Computation and Language · Computer Science 2026-02-02 Junyou Su , He Zhu , Xiao Luo , Liyu Zhang , Hong-Yu Zhou , Yun Chen , Peng Li , Yang Liu , Guanhua Chen

Multiple Additive Regression Trees (MART), an ensemble model of boosted regression trees, is known to deliver high prediction accuracy for diverse tasks, and it is widely used in practice. However, it suffers an issue which we call…

Machine Learning · Computer Science 2015-05-11 K. V. Rashmi , Ran Gilad-Bachrach

Mathematical reasoning remains a challenging area for large language models (LLMs), prompting the development of math-specific LLMs such as LLEMMA, DeepSeekMath, and Qwen2-Math, among others. These models typically follow a two-stage…

Computation and Language · Computer Science 2025-03-25 Zui Chen , Tianqiao Liu , Mi Tian , Qing Tong , Weiqi Luo , Zitao Liu

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

Recent advancements highlight the success of instruction tuning with large language models (LLMs) utilizing Chain-of-Thought (CoT) data for mathematical reasoning tasks. Despite the fine-tuned LLMs, challenges persist, such as incorrect,…

Computation and Language · Computer Science 2024-03-28 Yongwei Zhou , Tiejun Zhao

Existing approaches to mathematical reasoning with large language models (LLMs) rely on Chain-of-Thought (CoT) for generalizability or Tool-Integrated Reasoning (TIR) for precise computation. While efforts have been made to combine these…

Computation and Language · Computer Science 2026-02-13 Xin Xu , Yan Xu , Tianhao Chen , Yuchen Yan , Chengwu Liu , Zaoyu Chen , Yufei Wang , Yichun Yin , Yasheng Wang , Lifeng Shang , Qun Liu , Lu Yin

Large language models (LLMs) exhibit in-context learning abilities which enable the same model to perform several tasks without any task-specific training. In contrast, traditional adaptation approaches, such as fine-tuning, modify the…

Machine Learning · Computer Science 2023-06-14 Kush Bhatia , Avanika Narayan , Christopher De Sa , Christopher Ré

Supervised Fine-Tuning (SFT) followed by Reinforcement Learning (RL) is a standard post-training recipe for improving Large Language Models (LLM) reasoning, but why it works remains unclear. We revisit the common claim that ``SFT memorizes,…

Machine Learning · Computer Science 2026-05-12 Hangzhan Jin , Sitao Luan , Tianwei Ni , Sicheng Lyu , Guillaume Rabusseau , Reihaneh Rabbany , Doina Precup , Mohammad Hamdaqa

In recent years, Large Language Models (LLMs) have shown remarkable performance in generating human-like text, proving to be a valuable asset across various applications. However, adapting these models to incorporate new, out-of-domain…

Reasoning post-training improves Large Language Models (LLMs) on complex tasks such as mathematics and coding, but its benefits across diverse multimodal tasks remains uncertain. The trend of releasing parallel "Instruct" and "Thinking"…

Computation and Language · Computer Science 2026-05-12 Ruobing Zheng , Tianqi Li , Jianing Li , Qingpei Guo , Yi Yuan , Jingdong Chen

Large language models (LLMs) have demonstrated remarkable performance across a wide range of tasks. Advances in prompt engineering and fine-tuning techniques have further enhanced their ability to address complex reasoning challenges.…

Computation and Language · Computer Science 2024-12-16 Jing Bi , Yuting Wu , Weiwei Xing , Zhenjie Wei

Without relevant human priors, neural networks may learn uninterpretable features. We propose Dynamics of Attention for Focus Transition (DAFT) as a human prior for machine reasoning. DAFT is a novel method that regularizes attention-based…

Machine Learning · Statistics 2019-12-24 Wonjae Kim , Yoonho Lee

Supervised Fine-Tuning (SFT) on long Chain-of-Thought (CoT) trajectories has become a pivotal phase in building large reasoning models. However, how CoT trajectories from different sources influence the generalization performance of models…

Computation and Language · Computer Science 2026-04-07 Zhaoyi Li , Xiangyu Xi , Zhengyu Chen , Wei Wang , Gangwei Jiang , Ranran Shen , Linqi Song , Ying Wei , Defu Lian

Data selection during supervised fine-tuning (SFT) can critically change the behavior of large language models (LLMs). Although existing work has studied the effect of selecting data based on heuristics such as perplexity, difficulty, or…

Machine Learning · Computer Science 2026-05-26 Siyuan Liu , Tinghong Chen , Xinghan Li , Yifei Wang , Jingzhao Zhang

Self-Taught Reasoners (STaR), synonymously known as Rejection sampling Fine-Tuning (RFT), is an integral part of the training pipeline of self-improving reasoning Language Models (LMs). The self-improving mechanism often employs random…

Machine Learning · Computer Science 2025-10-07 Woosung Koh , Wonbeen Oh , Jaein Jang , MinHyung Lee , Hyeongjin Kim , Ah Yeon Kim , Joonkee Kim , Junghyun Lee , Taehyeon Kim , Se-Young Yun

Although supervised finetuning (SFT) has emerged as an essential technique to align large language models with humans, it is considered superficial, with style learning being its nature. At the same time, recent works indicate the…

Computation and Language · Computer Science 2024-02-12 Ming Shen