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Large Language Models (LLMs) have shown impressive progress in mathematical reasoning. While data augmentation is promising to enhance mathematical problem-solving ability, current approaches are predominantly limited to instance-level…

Computation and Language · Computer Science 2025-06-17 Qizhi Pei , Lijun Wu , Zhuoshi Pan , Yu Li , Honglin Lin , Chenlin Ming , Xin Gao , Conghui He , Rui Yan

Mathematical reasoning is a challenging task for large language models (LLMs), while the scaling relationship of it with respect to LLM capacity is under-explored. In this paper, we investigate how the pre-training loss, supervised data…

Computation and Language · Computer Science 2023-09-14 Zheng Yuan , Hongyi Yuan , Chengpeng Li , Guanting Dong , Keming Lu , Chuanqi Tan , Chang Zhou , Jingren Zhou

Existing LLMs-post-training techniques are broadly categorized into supervised fine-tuning (SFT) and reinforcement fine-tuning (RFT). Each paradigm presents a distinct trade-off: (1) SFT excels at mimicking demonstration data, but can lead…

Machine Learning · Computer Science 2026-05-18 Zeyu Huang , Tianhao Cheng , Zihan Qiu , Zili Wang , Yinghui Xu , Edoardo M. Ponti , Ivan Titov

Recent advances in Chain-of-Thought (CoT) prompting have substantially improved the reasoning capabilities of Large Language Models (LLMs). However, these methods often suffer from overthinking, leading to unnecessarily lengthy or redundant…

Computation and Language · Computer Science 2025-06-13 Zhensheng Jin , Xinze Li , Yifan Ji , Chunyi Peng , Zhenghao Liu , Qi Shi , Yukun Yan , Shuo Wang , Furong Peng , Ge Yu

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

Rejection Fine-Tuning (RFT) is a standard method for training LLM agents, where unsuccessful trajectories are discarded from the training set. In the context of SWE-bench tasks, this corresponds to filtering out runs where the submitted…

Machine Learning · Computer Science 2026-05-12 Igor Slinko , Ilia Zavidnyi , Egor Bogomolov , Yaroslav Zharov

While Supervised Fine-Tuning (SFT) and Rejection Sampling Fine-Tuning (RFT) are standard for LLM alignment, they either rely on costly expert data or discard valuable negative samples, leading to data inefficiency. To address this, we…

Machine Learning · Computer Science 2026-04-24 Zehua Liu , Shuqi Liu , Tao Zhong , Mingxuan Yuan

Large Language Models (LLMs) are increasingly adopted as evaluators, offering a scalable alternative to human annotation. However, existing supervised fine-tuning (SFT) approaches often fall short in domains that demand complex reasoning.…

Computation and Language · Computer Science 2025-11-04 Nuo Chen , Zhiyuan Hu , Qingyun Zou , Jiaying Wu , Qian Wang , Bryan Hooi , Bingsheng He

We propose a novel framework for comprehending the reasoning capabilities of large language models (LLMs) through the perspective of meta-learning. By conceptualizing reasoning trajectories as pseudo-gradient descent updates to the LLM's…

Computation and Language · Computer Science 2025-05-27 Junnan Liu , Hongwei Liu , Linchen Xiao , Shudong Liu , Taolin Zhang , Zihan Ma , Songyang Zhang , Kai Chen

Trajectory prediction serves as a critical functionality in autonomous driving, enabling the anticipation of future motion paths for traffic participants such as vehicles and pedestrians, which is essential for driving safety. Although…

Robotics · Computer Science 2025-09-16 Wei Dai , Shengen Wu , Wei Wu , Zhenhao Wang , Sisuo Lyu , Haicheng Liao , Limin Yu , Weiping Ding , Runwei Guan , Yutao Yue

Instruction tuning, a specialized technique to enhance large language model (LLM) performance via instruction datasets, relies heavily on the quality of employed data. Existing quality improvement methods alter instruction data through…

Computation and Language · Computer Science 2023-12-29 Yang Xu , Yongqiang Yao , Yufan Huang , Mengnan Qi , Maoquan Wang , Bin Gu , Neel Sundaresan

Length generalization, the ability to solve problems longer than those seen during training, remains a critical challenge for large language models (LLMs). Previous work modifies positional encodings (PEs) and data formats to improve length…

Computation and Language · Computer Science 2025-05-20 Yi Hu , Shijia Kang , Haotong Yang , Haotian Xu , Muhan Zhang

We introduce InfiFusion, an efficient training pipeline designed to integrate multiple domain-specialized Large Language Models (LLMs) into a single pivot model, effectively harnessing the strengths of each source model. Traditional fusion…

Computation and Language · Computer Science 2025-02-18 Zhaoyi Yan , Yiming Zhang , Baoyi He , Yuhao Fu , Qi Zhou , Zhijie Sang , Chunlin Ji , Shengyu Zhang , Fei Wu , Hongxia Yang

Large language models (LLMs) have shown remarkable progress in complex reasoning tasks, largely enabled by test-time scaling (TTS) paradigms that allocate additional compute during inference. Among these, external TTS (particularly the…

Computation and Language · Computer Science 2025-10-21 Bin Yu , Xinming Wang , Shijie Lian , Haotian Li , Changti Wu , Ruina Hu , Bailing Wang , Yuliang Wei , Kai Chen

Recent advances in large language models have demonstrated that Supervised Fine-Tuning (SFT) with Chain-of-Thought (CoT) reasoning data distilled from large reasoning models (e.g., DeepSeek R1) can effectively transfer reasoning…

Computation and Language · Computer Science 2025-05-22 Bin Yu , Hang Yuan , Haotian Li , Xueyin Xu , Yuliang Wei , Bailing Wang , Weizhen Qi , Kai Chen

Reinforcement learning (RL) has emerged as an effective post-training paradigm for enhancing the reasoning capabilities of multimodal large language model (MLLM). However, current RL pipelines often suffer from training inefficiencies…

Machine Learning · Computer Science 2026-03-04 Linghao Zhu , Yiran Guan , Dingkang Liang , Jianzhong Ju , Zhenbo Luo , Bin Qin , Jian Luan , Yuliang Liu , Xiang Bai

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

Latent reasoning offers a computation-efficient alternative to Chain-of-Thought but often suffers from performance degradation due to distributional misalignment and ambiguous chain definitions. Ideally, latent reasoning should function as…

Computation and Language · Computer Science 2026-02-02 Jingcheng Deng , Liang Pang , Zihao Wei , Shicheng Xu , Zenghao Duan , Kun Xu , Yang Song , Huawei Shen , Xueqi Cheng

In recent months, substantial progress has been made in complex reasoning of Large Language Models, particularly through the application of test-time scaling. Notable examples include o1/o3/o4 series and DeepSeek-R1. When responding to a…

Artificial Intelligence · Computer Science 2025-08-28 Xifeng Yao , Chengyuan Ma , Dongyu Lang , Yinhao Ni , Zhiwei Xu , Huarui Xie , Zihao Chen , Guang Shen , Dandan Tu , Yi Bai , Changzheng Zhang

Diffusion and flow-matching have emerged as powerful methodologies for generative modeling, with remarkable success in capturing complex data distributions and enabling flexible guidance at inference time. Many downstream applications,…

Machine Learning · Computer Science 2026-04-28 Zeyang Li , Kaveh Alim , Navid Azizan
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