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Recent advancements in large language models (LLMs) have demonstrated their impressive abilities in various reasoning and decision-making tasks. However, the quality and coherence of the reasoning process can still benefit from enhanced…

Computation and Language · Computer Science 2025-01-24 Shihao Ji , Zihui Song , Fucheng Zhong , Jisen Jia , Zhaobo Wu , Zheyi Cao , Tianhao Xu

While researchers have made significant progress in enabling large language models (LLMs) to perform multi-step planning, LLMs struggle to ensure that those plans align with high-level user intent and satisfy symbolic constraints,…

Machine Learning · Computer Science 2026-05-14 Kamel Alrashedy , Vriksha Srihari , Zulfiqar Zaidi , Ridam Srivastava , Pradyumna Tambwekar , Matthew Gombolay

Prompting schemes such as Chain of Thought, Tree of Thoughts, and Graph of Thoughts can significantly enhance the reasoning capabilities of large language models. However, most existing schemes require users to define static,…

Artificial Intelligence · Computer Science 2026-02-19 Felix Fricke , Simon Malberg , Georg Groh

Large Language Models (LLMs) have demonstrated remarkable capabilities in complex tasks. Recent advancements in Large Reasoning Models (LRMs), such as OpenAI o1 and DeepSeek-R1, have further improved performance in System-2 reasoning…

Computation and Language · Computer Science 2025-08-25 Yang Sui , Yu-Neng Chuang , Guanchu Wang , Jiamu Zhang , Tianyi Zhang , Jiayi Yuan , Hongyi Liu , Andrew Wen , Shaochen Zhong , Na Zou , Hanjie Chen , Xia Hu

Supervised Fine-Tuning (SFT) on long Chain-of-Thought (CoT) trajectories has become a pivotal phase in building large reasoning models. However, how CoT trajectories from different sources influence the generalization performance of models…

Computation and Language · Computer Science 2026-04-07 Zhaoyi Li , Xiangyu Xi , Zhengyu Chen , Wei Wang , Gangwei Jiang , Ranran Shen , Linqi Song , Ying Wei , Defu Lian

Large Language Models (LLMs) have demonstrated remarkable capabilities but often face challenges with tasks requiring sophisticated reasoning. While Chain-of-Thought (CoT) prompting significantly enhances reasoning, it indiscriminately…

Machine Learning · Computer Science 2025-05-27 Chenwei Lou , Zewei Sun , Xinnian Liang , Meng Qu , Wei Shen , Wenqi Wang , Yuntao Li , Qingping Yang , Shuangzhi Wu

Recently, inference-time scaling of chain-of-thought (CoT) has been demonstrated as a promising approach for addressing multi-modal reasoning tasks. While existing studies have predominantly centered on text-based thinking, the integration…

Computation and Language · Computer Science 2025-05-27 Yujie Lin , Ante Wang , Moye Chen , Jingyao Liu , Hao Liu , Jinsong Su , Xinyan Xiao

Enhancing the reasoning capability of large language models (LLMs) remains a core challenge in natural language processing. The Chain-of-Thought (CoT) paradigm dominates practical applications for its single-round efficiency, yet its…

In this paper, we address the challenging task of multimodal reasoning by incorporating the notion of ``slow thinking'' into multimodal large language models (MLLMs). Our core idea is that models can learn to adaptively use different levels…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Kun Xiang , Zhili Liu , Terry Jingchen Zhang , Yinya Huang , Yunshuang Nie , Kaixin Cai , Yiyang Yin , Runhui Huang , Hanhui Li , Yihan Zeng , Yu-Jie Yuan , Jianhua Han , Lanqing Hong , Hang Xu , Xiaodan Liang

Reasoning methods, best exemplified by the well-known Chain-of-Thought (CoT), empower the reasoning abilities of Large Language Models (LLMs) by eliciting them to solve complex tasks in a step-by-step manner. Although they are achieving…

Computation and Language · Computer Science 2024-06-24 Leonardo Ranaldi , Giulia Pucci , Federico Ranaldi , Elena Sofia Ruzzetti , Fabio Massimo Zanzotto

Recent studies have discovered that Chain-of-Thought prompting (CoT) can dramatically improve the performance of Large Language Models (LLMs), particularly when dealing with complex tasks involving mathematics or reasoning. Despite the…

Machine Learning · Computer Science 2023-12-27 Guhao Feng , Bohang Zhang , Yuntian Gu , Haotian Ye , Di He , Liwei Wang

Existing works of reasoning segmentation often fall short in complex cases, particularly when addressing complicated queries and out-of-domain images. Inspired by the chain-of-thought reasoning, where harder problems require longer thinking…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Shiu-hong Kao , Chak Ho Huang , Huaiqian Liu , Yu-Wing Tai , Chi-Keung Tang

Current Large Language Models (LLMs), especially Large Reasoning Models, can generate Chain-of-Thought (CoT) reasoning traces to illustrate how they produce final outputs, thereby facilitating trust calibration for users. However, these CoT…

Human-Computer Interaction · Computer Science 2026-04-07 Shiwei Chen , Niruthikka Sritharan , Xiaolin Wen , Chenxi Zhang , Xingbo Wang , Yong Wang

In this paper, we address the challenging task of multimodal mathematical reasoning by incorporating the ability of "slow thinking" into multimodal large language models (MLLMs). Our core idea is that different levels of reasoning abilities…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Kun Xiang , Zhili Liu , Zihao Jiang , Yunshuang Nie , Kaixin Cai , Yiyang Yin , Runhui Huang , Haoxiang Fan , Hanhui Li , Weiran Huang , Yihan Zeng , Yu-Jie Yuan , Jianhua Han , Lanqing Hong , Hang Xu , Xiaodan Liang

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

Algorithmic reasoning refers to the ability to understand the complex patterns behind the problem and decompose them into a sequence of reasoning steps towards the solution. Such nature of algorithmic reasoning makes it a challenge for…

As large language models (LLMs) have shown effectiveness with different prompting methods, such as Chain of Thought, Program of Thought, we find that these methods have formed a great complementarity to each other on math reasoning tasks.…

Computation and Language · Computer Science 2023-12-29 Tengxiao Liu , Qipeng Guo , Yuqing Yang , Xiangkun Hu , Yue Zhang , Xipeng Qiu , Zheng Zhang

Prompt Engineering has garnered significant attention for enhancing the performance of large language models across a multitude of tasks. Techniques such as the Chain-of-Thought not only bolster task performance but also delineate a clear…

Computation and Language · Computer Science 2024-10-21 Wei Jie Yeo , Ranjan Satapathy , Rick Siow Mong Goh , Erik Cambria

As multi-modal large language models (MLLMs) are increasingly applied to complex reasoning tasks, the diversity and quality of reasoning paths become crucial factors affecting their performance. Although current methods aim to enhance…

Neural and Evolutionary Computing · Computer Science 2024-12-12 Biqing Qi , Zhouyi Qian , Yiang Luo , Junqi Gao , Dong Li , Kaiyan Zhang , Bowen Zhou

Large Reasoning Models (LRMs) solve complex tasks by generating long Chain-of-Thought (CoT) sequences; however, the emergent dynamics governing reasoning trajectories are not well understood and can lead to inconsistencies and reasoning…

Artificial Intelligence · Computer Science 2026-05-29 G M Shahariar , Erfan Shayegani , Ali Nazari , Nael Abu-Ghazaleh