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In recent years, large language models (LLMs) have demonstrated significant potential in complex reasoning tasks like mathematical problem-solving. However, existing research predominantly relies on reinforcement learning (RL) frameworks…

Machine Learning · Computer Science 2026-01-12 ShaoZhen Liu , Xinting Huang , Houwen Peng , Xin Chen , Xinyang Song , Qi Li , Zhenan Sun

The increasing scale of large language models (LLMs) brings emergent abilities to various complex tasks requiring reasoning, such as arithmetic and commonsense reasoning. It is known that the effective design of task-specific prompts is…

Computation and Language · Computer Science 2024-07-23 Shizhe Diao , Pengcheng Wang , Yong Lin , Rui Pan , Xiang Liu , Tong Zhang

With the remarkable success of Multimodal Large Language Models (MLLMs) in perception tasks, enhancing their complex reasoning capabilities has emerged as a critical research focus. Existing models still suffer from challenges such as…

Computation and Language · Computer Science 2025-12-01 Wenxin Zhu , Andong Chen , Yuchen Song , Kehai Chen , Conghui Zhu , Ziyan Chen , Tiejun Zhao

Large language models (LLMs) are typically constrained to reason in the language space, where they express the reasoning process through a chain-of-thought (CoT) to solve complex problems. However, the language space may not always be…

Computation and Language · Computer Science 2025-11-04 Shibo Hao , Sainbayar Sukhbaatar , DiJia Su , Xian Li , Zhiting Hu , Jason Weston , Yuandong Tian

While Long Chain-of-Thought (CoT) reasoning significantly improves Large Language Models (LLMs) performance on complex reasoning tasks, the substantial computational and memory costs of generating long CoT sequences limit their efficiency…

Artificial Intelligence · Computer Science 2026-02-03 Liang Zhang , Yu Zhao , Longyue Wang , Tianqi Shi , Weihua Luo , Kaifu Zhang , Jinsong Su

Chain-of-Thought (CoT) empowers Large Language Models (LLMs) to tackle complex problems, but remains constrained by the computational cost and reasoning path collapse when grounded in discrete token spaces. Recent latent reasoning…

Artificial Intelligence · Computer Science 2026-02-05 Jiecong Wang , Hao Peng , Chunyang Liu

Chain-of-Thought (CoT) has unlocked advanced reasoning abilities of Large Language Models (LLMs) with intermediate steps, yet incurs prohibitive computational costs due to generation of extra tokens. Recent studies empirically show that…

Artificial Intelligence · Computer Science 2026-05-27 Juncai Li , Ru Li , Yuxiang Zhou , Boxiang Ma , Jeff Z. Pan

Chain-of-Thought (CoT) prompting can enhance the reasoning capabilities of large language models (LLMs), establishing itself as a primary approach to solving complex reasoning tasks. Existing CoT synthesis approaches usually focus on…

Computation and Language · Computer Science 2024-03-22 Xiaoxue Cheng , Junyi Li , Wayne Xin Zhao , Ji-Rong Wen

Large language models (LLMs) have scaled up to unlock a wide range of complex reasoning tasks with the aid of various prompting methods. However, current prompting methods generate natural language intermediate steps to help reasoning,…

Computation and Language · Computer Science 2023-10-10 Yi Hu , Haotong Yang , Zhouchen Lin , Muhan Zhang

Chain-of-Thought (CoT) prompting has improved the reasoning performance of large language models (LLMs), but it remains unclear why it works and whether it is the unique mechanism for triggering reasoning in large language models. In this…

Computation and Language · Computer Science 2026-01-14 Zhenghao He , Guangzhi Xiong , Bohan Liu , Sanchit Sinha , Aidong Zhang

Large language models (LLMs) have dramatically enhanced the field of language intelligence, as demonstrably evidenced by their formidable empirical performance across a spectrum of complex reasoning tasks. Additionally, theoretical proofs…

Computation and Language · Computer Science 2023-11-21 Zhuosheng Zhang , Yao Yao , Aston Zhang , Xiangru Tang , Xinbei Ma , Zhiwei He , Yiming Wang , Mark Gerstein , Rui Wang , Gongshen Liu , Hai Zhao

A common approach for teaching large language models (LLMs) to reason is to train on chain-of-thought (CoT) traces of in-distribution reasoning problems, but such annotated data is costly to obtain for every problem of interest. We want…

Computation and Language · Computer Science 2025-05-29 Fangcong Yin , Zeyu Leo Liu , Liu Leqi , Xi Ye , Greg Durrett

Chain-of-Thought (CoT) prompting has emerged as a powerful approach to enhancing the reasoning capabilities of Large Language Models (LLMs). However, existing implementations, such as in-context learning and fine-tuning, remain costly and…

Computation and Language · Computer Science 2025-10-02 Li Li , Ziyi Wang , Yongliang Wu , Jianfei Cai , Xu Yang

Chain-of-Thought (CoT) prompting has proven to be effective in enhancing the reasoning capabilities of Large Language Models (LLMs) with at least 100 billion parameters. However, it is ineffective or even detrimental when applied to…

Computation and Language · Computer Science 2023-10-24 Chengcheng Han , Xiaowei Du , Che Zhang , Yixin Lian , Xiang Li , Ming Gao , Baoyuan Wang

Recent large language models achieve strong reasoning performance by generating detailed chain-of-thought traces, but this often leads to excessive token use and high inference latency. Existing efficiency approaches typically focus on…

Computation and Language · Computer Science 2025-12-01 Lukas Struppek , Dominik Hintersdorf , Hannah Struppek , Daniel Neider , Kristian Kersting

Chain of thought (CoT) fine-tuning aims to endow large language models (LLMs) with reasoning capabilities by training them on curated reasoning traces. It leverages both supervised and reinforced fine-tuning to cultivate human-like…

Computation and Language · Computer Science 2026-03-24 Xiaoshu Chen , Sihang Zhou , Ke Liang , Duanyang Yuan , Haoyuan Chen , Xiaoyu Sun , Lingyuan Meng , Xinwang Liu

Multi-step reasoning is essential for large language models (LLMs), yet multilingual performance remains challenging. While Chain-of-Thought (CoT) prompting improves reasoning, it struggles with non-English languages due to the entanglement…

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

Recent advancements in large language models have showcased their remarkable generalizability across various domains. However, their reasoning abilities still have significant room for improvement, especially when confronted with scenarios…

Computation and Language · Computer Science 2024-03-27 Xufeng Zhao , Mengdi Li , Wenhao Lu , Cornelius Weber , Jae Hee Lee , Kun Chu , Stefan Wermter

Large Language Models (LLMs) have revolutionized natural language processing and hold immense potential for advancing Artificial Intelligence. However, the core architecture of most mainstream LLMs -- the Transformer -- has inherent…

Computation and Language · Computer Science 2024-10-21 Xiang Zhang , Dujian Ding