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Mathematical reasoning has long represented one of the most fundamental and challenging frontiers in artificial intelligence research. In recent years, large language models (LLMs) have achieved significant advances in this area. This…

Artificial Intelligence · Computer Science 2025-06-11 Peng-Yuan Wang , Tian-Shuo Liu , Chenyang Wang , Yi-Di Wang , Shu Yan , Cheng-Xing Jia , Xu-Hui Liu , Xin-Wei Chen , Jia-Cheng Xu , Ziniu Li , Yang Yu

Large language models (LLMs) have recently attracted considerable interest for their ability to perform complex reasoning tasks, such as chain-of-thought (CoT) reasoning. However, most of the existing approaches to enhance this ability rely…

Computation and Language · Computer Science 2024-08-08 Xinyi Wang , Lucas Caccia , Oleksiy Ostapenko , Xingdi Yuan , William Yang Wang , Alessandro Sordoni

Large Language Models (LLMs) have shown impressive performance on complex tasks through Chain-of-Thought (CoT) reasoning. However, conventional CoT relies on explicitly verbalized intermediate steps, which constrains its broader…

Computation and Language · Computer Science 2025-11-04 Xinghao Chen , Anhao Zhao , Heming Xia , Xuan Lu , Hanlin Wang , Yanjun Chen , Wei Zhang , Jian Wang , Wenjie Li , Xiaoyu Shen

Large language models (LLMs) have achieved remarkable progress on mathematical tasks through Chain-of-Thought (CoT) reasoning. However, existing mathematical CoT datasets often suffer from Thought Leaps due to experts omitting intermediate…

Computation and Language · Computer Science 2025-12-01 Haolei Xu , Yuchen Yan , Yongliang Shen , Wenqi Zhang , Guiyang Hou , Shengpei Jiang , Kaitao Song , Weiming Lu , Jun Xiao , Yueting Zhuang

Large language models (LLMs) still grapple with complex tasks like mathematical reasoning. Despite significant efforts invested in improving prefix prompts or reasoning process, the crucial role of problem context might have been neglected.…

Computation and Language · Computer Science 2024-03-28 Haoran Liao , Jidong Tian , Shaohua Hu , Hao He , Yaohui Jin

Long chains of thought (CoT) from current language models frequently contain logical gaps and unjustified leaps, limiting the gains from additional test-time compute. Improving reasoning quality directly would require process reward models,…

Artificial Intelligence · Computer Science 2026-05-26 Jingchu Gai , Guanning Zeng , Christina Baek , Chen Wu , J. Zico Kolter , Andrej Risteski , Aditi Raghunathan

Chain of thought finetuning (cot-finetuning) aims to endow small language models (SLM) with reasoning ability to improve their performance towards specific tasks by allowing them to imitate the reasoning procedure of large language models…

Computation and Language · Computer Science 2025-08-08 Xiaoshu Chen , Sihang Zhou , Ke Liang , Xinwang Liu

Large Language Models (LLMs) have demonstrated remarkable proficiency across diverse tasks, exhibiting emergent properties such as semantic prompt comprehension, In-Context Learning (ICL), and Chain-of-Thought (CoT) reasoning. Despite their…

Computation and Language · Computer Science 2026-03-13 Yuling Jiao , Yanming Lai , Huazhen Lin , Wensen Ma , Houduo Qi , Defeng Sun

Recently, substantial advancements have been made in training language models to carry out step-by-step reasoning for solving intricate numerical reasoning tasks. Beyond the methods used to solve these problems, the structure and…

Artificial Intelligence · Computer Science 2025-02-19 Yu Zhang , Shujun Peng , Nengwu Wu , Xinhan Lin , Yang Hu , Jie Tang

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…

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

Mathematical problem solving is a fundamental benchmark for assessing the reasoning capabilities of artificial intelligence and a gateway to applications in education, science, and engineering where reliable symbolic reasoning is essential.…

Artificial Intelligence · Computer Science 2026-02-10 Aditya Basarkar , Benyamin Tabarsi , Tiffany Barnes , Dongkuan Xu

Chain-of-Thought (CoT) prompting has marked a significant advancement in enhancing the reasoning capabilities of large language models (LLMs). Previous studies have developed various extensions of CoT, which focus primarily on enhancing…

Computation and Language · Computer Science 2025-05-20 Xin Xu , Shizhe Diao , Can Yang , Yang Wang

Chain-of-Thought (CoT) Prompting is a dominant paradigm in Large Language Models (LLMs) to enhance complex reasoning. It guides LLMs to present multi-step reasoning, rather than generating the final answer directly. However, CoT encounters…

Computation and Language · Computer Science 2025-09-25 Dong-Hai Zhu , Yu-Jie Xiong , Jia-Chen Zhang , Xi-Jiong Xie , Chun-Ming Xia

Chain-of-thought (CoT) is a standard approach for eliciting reasoning capabilities from large language models (LLMs). However, the common CoT paradigm treats thinking as a prerequisite for answering, which can delay access to plausible…

Computation and Language · Computer Science 2026-05-20 Dachuan Shi , Hanlin Zhu , Xiangchi Yuan , Wanjia Zhao , Kejing Xia , Wen Xiao , Wenke Lee

We investigate whether the success of a zero-shot Chain-of-Thought (CoT) process can be predicted before completion. We discover that a probing classifier, based on LLM representations, performs well \emph{even before a single token is…

Computation and Language · Computer Science 2025-06-03 Anum Afzal , Florian Matthes , Gal Chechik , Yftah Ziser

Large Language Models (LLMs) have demonstrated significant improvements in reasoning capabilities through supervised fine-tuning and reinforcement learning. However, when training reasoning models, these approaches are primarily applicable…

Computation and Language · Computer Science 2025-05-16 Yoichi Ishibashi , Taro Yano , Masafumi Oyamada

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

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

As knowledge and semantics on the web grow increasingly complex, enhancing Large Language Models (LLMs)' comprehension and reasoning capabilities has become particularly important. Chain-of-Thought (CoT) prompting has been shown to enhance…

Artificial Intelligence · Computer Science 2026-01-21 Ke Chen , Jiandian Zeng , Zihao Peng , Guo Li , Guangxue Zhang , Tian Wang
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