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Recent years have witnessed significant progress in large language models' (LLMs) reasoning, which is largely due to the chain-of-thought (CoT) approaches, allowing models to generate intermediate reasoning steps before reaching the final…

Computation and Language · Computer Science 2025-04-15 Zuoli Tang , Junjie Ou , Kaiqin Hu , Chunwei Wu , Zhaoxin Huan , Chilin Fu , Xiaolu Zhang , Jun Zhou , Chenliang Li

We propose a straightforward approach called Distillation Contrastive Decoding (DCD) to enhance the reasoning capabilities of Large Language Models (LLMs) during inference. In contrast to previous approaches that relied on smaller amateur…

Computation and Language · Computer Science 2024-08-26 Phuc Phan , Hieu Tran , Long Phan

Long chain-of-thought reasoning (Long CoT) is now fundamental to state-of-the-art LLMs, especially in mathematical reasoning. However, LLM generation is highly sequential, and long CoTs lead to a high latency. We propose to train…

Machine Learning · Computer Science 2026-02-02 Arvind Mahankali , Kaiyue Wen , Tengyu Ma

Large Language Models (LLMs) have shown impressive capabilities, yet they still struggle with math reasoning. In this work, we propose CoT-Influx, a novel approach that pushes the boundary of few-shot Chain-of-Thoughts (CoT) learning to…

Computation and Language · Computer Science 2024-02-16 Xijie Huang , Li Lyna Zhang , Kwang-Ting Cheng , Fan Yang , Mao Yang

Knowledge Distillation (KD) can transfer the reasoning abilities of large models to smaller ones, which can reduce the costs to generate Chain-of-Thoughts for reasoning tasks. KD methods typically ask the student to mimic the teacher's…

Computation and Language · Computer Science 2026-03-17 Minsang Kim , Seung Jun Baek

Large language models (LLMs) exhibit strong generative capabilities and have shown great potential in code generation. Existing chain-of-thought (CoT) prompting methods enhance model reasoning by eliciting intermediate steps, but suffer…

Artificial Intelligence · Computer Science 2025-12-17 Shen Li , Li Huang , Shaoxiong Zhan , Weifeng Sun , Tao Yin , Zhongxin Liu , Meng Yan

\ac{CoT} prompting improves LLM accuracy on complex tasks but often increases token usage and inference cost. Existing ``Budget Forcing'' methods reduce cost via fine-tuning with heuristic length penalties, suppressing both essential…

Machine Learning · Computer Science 2026-05-19 Fabio Valerio Massoli , Andrey Kuzmin , Arash Behboodi

Recently, Interleaved-modal Chain-of-Thought (ICoT) reasoning has achieved remarkable success by leveraging both multimodal inputs and outputs, attracting increasing attention. While achieving promising performance, current ICoT methods…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Xu Liu , Yongheng Zhang , Qiguang Chen , Yao Li , Sheng Wang , Libo Qin

Chain-of-Thought (CoT) has significantly enhanced the reasoning capabilities of Large Language Models (LLMs), especially when combined with reinforcement learning (RL) based post-training methods. While longer reasoning traces can improve…

Machine Learning · Computer Science 2026-02-16 Qinhang Wu , Sen Lin , Ming Zhang , Yingbin Liang , Ness B. Shroff

Recent reasoning models through test-time scaling have demonstrated that long chain-of-thoughts can unlock substantial performance boosts in hard reasoning tasks such as math and code. However, the benefit of such long thoughts for system-2…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Yuan-Hong Liao , Sven Elflein , Liu He , Laura Leal-Taixé , Yejin Choi , Sanja Fidler , David Acuna

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

Chain-of-thought (CoT) reasoning with self-consistency improves performance by aggregating multiple sampled reasoning paths. In this setting, correctness is no longer tied to a single reasoning trace but to the aggregation rule over a pool…

Machine Learning · Statistics 2026-05-15 Yu Gu , Zijun Yu , Vahid Partovi Nia , Masoud Asgharian

Test-time compute scaling has demonstrated the ability to improve the performance of reasoning language models by generating longer chain-of-thought (CoT) sequences. However, this increase in performance comes with a significant increase in…

Artificial Intelligence · Computer Science 2025-09-24 Adarsha Balaji , Le Chen , Rajeev Thakur , Franck Cappello , Sandeep Madireddy

This paper introduces Light-R1, an open-source suite for training long reasoning models using reproducible and cost-effective methodology. Given the proprietary nature of data used in the DeepSeek-R1 series, we develop an alternative…

Computation and Language · Computer Science 2025-05-29 Liang Wen , Yunke Cai , Fenrui Xiao , Xin He , Qi An , Zhenyu Duan , Yimin Du , Junchen Liu , Lifu Tang , Xiaowei Lv , Haosheng Zou , Yongchao Deng , Shousheng Jia , Xiangzheng Zhang

Extending CoT through RL has been widely used to enhance the reasoning capabilities of LLMs. However, due to the sparsity of reward signals, it can also induce undesirable thinking patterns such as overthinking, i.e., generating redundant…

Computation and Language · Computer Science 2026-04-15 Hongyuan Yuan , Xinran He , Run Shao , Bolei He , Xianwei Xue , Mengke Chen , Qiutong Pan , Haiwei Wang , Haifeng Li

Deploying Large Language Models (LLMs) for discriminative workloads is often limited by inference latency, compute, and API costs at scale. Active distillation reduces these costs by querying an LLM oracle to train compact discriminative…

Artificial Intelligence · Computer Science 2026-04-01 Ziyang Yu , Liang Zhao

Specialized reasoning language models (RLMs) have demonstrated that scaling test-time computation through detailed reasoning traces significantly enhances performance. Although these traces effectively facilitate knowledge distillation into…

Computation and Language · Computer Science 2025-07-16 Philip Lippmann , Jie Yang

In enhancing the reasoning capabilities of large language models (LLMs), prior research primarily focuses on specific prompting techniques such as few-shot or zero-shot chain-of-thought (CoT) prompting. These methods, while effective, often…

Computation and Language · Computer Science 2024-05-27 Xuezhi Wang , Denny Zhou

Long chain-of-thought (Long-CoT) reasoning models have motivated a growing body of work on compressing reasoning traces to reduce inference cost, yet existing evaluations focus almost exclusively on task accuracy and token savings.…

Computation and Language · Computer Science 2026-04-07 Lingjie Zeng , Xiaofan Chen , Yanbo Wang , Xiuying Chen

Chain-of-thought prompting has demonstrated remarkable performance on various natural language reasoning tasks. However, it tends to perform poorly on tasks which requires solving problems harder than the exemplars shown in the prompts. To…

Artificial Intelligence · Computer Science 2023-04-18 Denny Zhou , Nathanael Schärli , Le Hou , Jason Wei , Nathan Scales , Xuezhi Wang , Dale Schuurmans , Claire Cui , Olivier Bousquet , Quoc Le , Ed Chi
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