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Large Language Models (LLMs) often struggle with problems that require multi-step reasoning. For small-scale open-source models, Reinforcement Learning with Verifiable Rewards (RLVR) fails when correct solutions are rarely sampled even…

Computation and Language · Computer Science 2026-03-02 Yihe Deng , I-Hung Hsu , Jun Yan , Zifeng Wang , Rujun Han , Gufeng Zhang , Yanfei Chen , Wei Wang , Tomas Pfister , Chen-Yu Lee

Reinforcement Learning (RL) has been shown to significantly boost reasoning capabilities of large language models (LLMs) in math, coding, and multi-hop reasoning tasks. However, RL fine-tuning requires abundant high-quality verifiable data,…

Chain-of-thought (CoT) prompting has become central to mathematical reasoning in large language models, yet models remain brittle to early errors: a single arithmetic slip or unjustified inference typically propagates uncorrected to an…

Machine Learning · Computer Science 2025-12-22 Saraswathy Amjith , Mihika Dusad , Neha Muramalla , Shweta Shah

A practical approach to activate long chain-of-thoughts reasoning ability in pre-trained large language models is to perform supervised fine-tuning on instruction datasets synthesized by strong Large Reasoning Models such as DeepSeek-R1,…

Computation and Language · Computer Science 2025-12-24 Cehao Yang , Xueyuan Lin , Xiaojun Wu , Chengjin Xu , Xuhui Jiang , Honghao Liu , Hui Xiong , Jian Guo

Chain-of-Thought (CoT) reasoning is a critical capability for large language models (LLMs), enabling them to tackle com- plex multi-step tasks. While base LLMs, pre-trained on general text corpora, often struggle with reasoning due to a…

Computation and Language · Computer Science 2025-11-25 Zijian Wang , Yanxiang Ma , Chang Xu

Multimodal LLMs (MLLMs) with a great ability of text and image understanding have received great attention. To achieve better reasoning with MLLMs, Chain-of-Thought (CoT) reasoning has been widely explored, which further promotes MLLMs'…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Zefeng Wang , Zhen Han , Shuo Chen , Fan Xue , Zifeng Ding , Xun Xiao , Volker Tresp , Philip Torr , Jindong Gu

Large language models (LLMs) are displaying emergent abilities for math reasoning tasks,and there is a growing attention on enhancing the ability of open-source LLMs through supervised fine-tuning (SFT).In this paper, we aim to explore a…

Computation and Language · Computer Science 2024-03-05 Zui Chen , Yezeng Chen , Jiaqi Han , Zhijie Huang , Ji Qi , Yi Zhou

Recent large reasoning models such as DeepSeek-R1 exhibit strong complex problems solving abilities by generating long chain-of-thought (CoT) reasoning steps. It is challenging to directly train small language models (SLMs) to emerge long…

Computation and Language · Computer Science 2025-06-19 Zhaoyang Wang , Jinqi Jiang , Tian Qiu , Hui Liu , Xianfeng Tang , Huaxiu Yao

Large Language Models (LLMs) have recently achieved remarkable progress by leveraging Reinforcement Learning and extended Chain-of-Thought (CoT) techniques. However, the challenge of performing efficient language reasoning--especially…

Computation and Language · Computer Science 2025-06-17 Zhong-Zhi Li , Xiao Liang , Zihao Tang , Lei Ji , Peijie Wang , Haotian Xu , Xing W , Haizhen Huang , Weiwei Deng , Yeyun Gong , Zhijiang Guo , Xiao Liu , Fei Yin , Cheng-Lin Liu

The application of reinforcement learning (RL) to enhance the reasoning capabilities of Multimodal Large Language Models (MLLMs) constitutes a rapidly advancing research area. While MLLMs extend Large Language Models (LLMs) to handle…

Artificial Intelligence · Computer Science 2025-05-22 Guanghao Zhou , Panjia Qiu , Cen Chen , Jie Wang , Zheming Yang , Jian Xu , Minghui Qiu

Mathematical reasoning is regarded as a necessary ability for Language Models (LMs). Recent works demonstrate large LMs' impressive performance in solving math problems. The success is attributed to their Chain-of-Thought (CoT) reasoning…

Computation and Language · Computer Science 2023-06-08 Tianduo Wang , Wei Lu

Reinforcement Learning from Human Feedback (\textbf{RLHF}) has emerged as a dominant approach for aligning LLM outputs with human preferences. Inspired by the success of RLHF, we study the performance of multiple algorithms that learn from…

Large Language Models (LLMs) excel in reasoning tasks through Chain-of-Thought (CoT) prompting. However, CoT prompting greatly increases computational demands, which has prompted growing interest in distilling CoT capabilities into Small…

Computation and Language · Computer Science 2025-05-28 Xinghao Chen , Zhijing Sun , Wenjin Guo , Miaoran Zhang , Yanjun Chen , Yirong Sun , Hui Su , Yijie Pan , Dietrich Klakow , Wenjie Li , Xiaoyu Shen

Test-time scaling improves the reasoning capabilities of large language models (LLMs) by allocating extra compute to generate longer Chains-of-Thoughts (CoTs). This enables models to tackle more complex problem by breaking them down into…

Artificial Intelligence · Computer Science 2026-03-03 Adel Javanmard , Baharan Mirzasoleiman , Vahab Mirrokni

Large language models (LLMs) have shown remarkable performance in reasoning tasks but face limitations in mathematical and complex logical reasoning. Existing methods to improve LLMs' logical capabilities either involve traceable or…

Computation and Language · Computer Science 2025-05-27 Jiahao Yuan , Dehui Du , Hao Zhang , Zixiang Di , Usman Naseem

Large language models (LLMs) have achieved impressive performance across natural language processing (NLP) tasks. As real-world applications increasingly demand longer context windows, continued pretraining and supervised fine-tuning (SFT)…

Computation and Language · Computer Science 2025-10-06 Yingming Zheng , Hanqi Li , Kai Yu , Lu Chen

Large language models (LLMs) excel at complex tasks thanks to advances in their reasoning abilities. However, existing methods overlook the trade-off between reasoning effectiveness and efficiency, often encouraging unnecessarily long…

Machine Learning · Computer Science 2025-10-16 Jingyao Wang , Wenwen Qiang , Zeen Song , Changwen Zheng , Hui Xiong

Despite their strengths, large language models (LLMs) often fail to communicate their confidence accurately, making it difficult to assess when they might be wrong and limiting their reliability. In this work, we demonstrate that reasoning…

Artificial Intelligence · Computer Science 2025-10-23 Dongkeun Yoon , Seungone Kim , Sohee Yang , Sunkyoung Kim , Soyeon Kim , Yongil Kim , Eunbi Choi , Yireun Kim , Minjoon Seo

Small Language Models (SLMs) are becoming increasingly popular in specialized fields, such as industrial applications, due to their efficiency, lower computational requirements, and ability to be fine-tuned for domain-specific tasks,…

Computation and Language · Computer Science 2025-10-22 Shuxin Lin , Dhaval Patel , Christodoulos Constantinides

Recent large reasoning models (LRMs) have demonstrated strong reasoning capabilities through reinforcement learning (RL). These improvements have primarily been observed within the short-context reasoning tasks. In contrast, extending LRMs…

Computation and Language · Computer Science 2025-05-28 Fanqi Wan , Weizhou Shen , Shengyi Liao , Yingcheng Shi , Chenliang Li , Ziyi Yang , Ji Zhang , Fei Huang , Jingren Zhou , Ming Yan