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Large Language Models (LLMs) often exhibit strong linguistic abilities while remaining unreliable on multi-step reasoning tasks, particularly when deployed without additional training or fine-tuning. In this work, we study inference-time…

Computation and Language · Computer Science 2026-03-24 Vinay Sharma , Manish Jain

In open-domain question-answering (ODQA), most existing questions require single-hop reasoning on commonsense. To further extend this task, we officially introduce open-domain multi-hop reasoning (ODMR) by answering multi-hop questions with…

Computation and Language · Computer Science 2023-10-24 Jinyuan Wang , Junlong Li , Hai Zhao

Large reasoning models (LRMs) like OpenAI-o1 have shown impressive capabilities in natural language reasoning. However, these models frequently demonstrate inefficiencies or inaccuracies when tackling complex mathematical operations. While…

Computation and Language · Computer Science 2025-10-24 Chengpeng Li , Zhengyang Tang , Ziniu Li , Mingfeng Xue , Keqin Bao , Tian Ding , Ruoyu Sun , Benyou Wang , Xiang Wang , Junyang Lin , Dayiheng Liu

Mathematical reasoning remains a significant challenge for large language models (LLMs), despite progress in prompting techniques such as Chain-of-Thought (CoT). We present **Chain of Mathematically Annotated Thought (CoMAT)**, which…

Artificial Intelligence · Computer Science 2026-01-16 Joshua Ong Jun Leang , Aryo Pradipta Gema , Shay B. Cohen

Large language models show improved downstream task performance when prompted to generate step-by-step reasoning to justify their final answers. These reasoning steps greatly improve model interpretability and verification, but objectively…

Computation and Language · Computer Science 2023-09-13 Olga Golovneva , Moya Chen , Spencer Poff , Martin Corredor , Luke Zettlemoyer , Maryam Fazel-Zarandi , Asli Celikyilmaz

Reasoning capability is pivotal for Large Language Models (LLMs) to solve complex tasks, yet achieving reliable and scalable reasoning remains challenging. While Chain-of-Thought (CoT) prompting has become a mainstream approach, existing…

Computation and Language · Computer Science 2025-10-07 Honglin Lin , Qizhi Pei , Xin Gao , Zhuoshi Pan , Yu Li , Juntao Li , Conghui He , Lijun Wu

Large language models (LLMs) with Chain-of-thought (CoT) have recently emerged as a powerful technique for eliciting reasoning to improve various downstream tasks. As most research mainly focuses on English, with few explorations in a…

Computation and Language · Computer Science 2024-07-11 Huiyuan Lai , Malvina Nissim

Chain-of-Thought (CoT) reasoning enables Large Language Models (LLMs) to solve complex reasoning tasks by generating intermediate reasoning steps. However, most existing approaches focus on hard token decoding, which constrains reasoning…

Computation and Language · Computer Science 2025-05-28 Yige Xu , Xu Guo , Zhiwei Zeng , Chunyan Miao

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

We study the task of prompting large-scale language models to perform multi-step reasoning. Existing work shows that when prompted with a chain of thoughts (CoT), sequences of short sentences describing intermediate reasoning steps towards…

Computation and Language · Computer Science 2023-01-31 Yao Fu , Hao Peng , Ashish Sabharwal , Peter Clark , Tushar Khot

Generating intermediate steps, or Chain of Thought (CoT), is an effective way to significantly improve language models' (LM) multi-step reasoning capability. However, the CoT lengths can grow rapidly with the problem complexity, easily…

Computation and Language · Computer Science 2023-06-13 Soochan Lee , Gunhee Kim

Large language models (LLMs) have demonstrated impressive ability in solving complex mathematical problems with multi-step reasoning and can be further enhanced with well-designed in-context learning (ICL) examples. However, this potential…

Computation and Language · Computer Science 2025-02-18 Beichen Zhang , Yuhong Liu , Xiaoyi Dong , Yuhang Zang , Pan Zhang , Haodong Duan , Yuhang Cao , Dahua Lin , Jiaqi Wang

Multimodal reasoning is a critical component in the pursuit of artificial intelligence systems that exhibit human-like intelligence, especially when tackling complex tasks. While the chain-of-thought (CoT) technique has gained considerable…

Artificial Intelligence · Computer Science 2023-09-26 Jingxuan Wei , Cheng Tan , Zhangyang Gao , Linzhuang Sun , Siyuan Li , Bihui Yu , Ruifeng Guo , Stan Z. Li

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

Stochastic Optimization is a cornerstone of operations research, providing a framework to solve optimization problems under uncertainty. Despite the development of numerous algorithms to tackle these problems, several persistent challenges…

Optimization and Control · Mathematics 2025-03-28 Di Zhang , Suvrajeet Sen

Large Language Models (LLMs) are increasingly deployed in critical applications requiring reliable reasoning, yet their internal reasoning processes remain difficult to evaluate systematically. Existing methods focus on final-answer…

Machine Learning · Computer Science 2026-02-03 Shaima Ahmad Freja , Ferhat Ozgur Catak , Betul Yurdem , Chunming Rong

Large language models (LLMs) achieve strong reasoning performance through chain-of-thought (CoT) reasoning, yet often generate unnecessarily long reasoning paths that incur high inference cost. Recent self-consistency-based approaches…

Computation and Language · Computer Science 2026-03-19 Juming Xiong , Kevin Guo , Congning Ni , Chao Yan , Katherine Brown , Avinash Baidya , Xiang Gao , Bradley Malin , Zhijun Yin

Large Language Models (LLMs) have recently achieved impressive results in complex reasoning tasks through Chain of Thought (CoT) prompting. However, most existing CoT methods rely on using the same prompts, whether manually designed or…

Machine Learning · Computer Science 2025-01-22 Yuanheng Fang , Guoqing Chao , Wenqiang Lei , Shaobo Li , Dianhui Chu

By extending the advantage of chain-of-thought (CoT) reasoning in human-like step-by-step processes to multimodal contexts, multimodal CoT (MCoT) reasoning has recently garnered significant research attention, especially in the integration…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Yaoting Wang , Shengqiong Wu , Yuecheng Zhang , Shuicheng Yan , Ziwei Liu , Jiebo Luo , Hao Fei

The ability of large language models to solve complex mathematical problems has progressed significantly, particularly for tasks requiring advanced reasoning. However, the scarcity of sufficiently challenging problems, particularly at the…

Computation and Language · Computer Science 2025-12-23 Xueliang Zhao , Wei Wu , Jian Guan , Lingpeng Kong