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Large Language Models (LLMs) have demonstrated remarkable performance in many applications, including challenging reasoning problems via chain-of-thoughts (CoTs) techniques that generate ``thinking tokens'' before answering the questions.…

Machine Learning · Computer Science 2025-11-04 Hanlin Zhu , Shibo Hao , Zhiting Hu , Jiantao Jiao , Stuart Russell , Yuandong Tian

Large language models (LLMs) typically enhance their performance through either the retrieval of semantically similar information or the improvement of their reasoning capabilities. However, a significant challenge remains in effectively…

Artificial Intelligence · Computer Science 2026-01-05 Shuqi Liu , Bowei He , Chen Ma , Linqi Song

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

The Chain-of-Thought (CoT) paradigm has emerged as a critical approach for enhancing the reasoning capabilities of large language models (LLMs). However, despite their widespread adoption and success, CoT methods often exhibit instability…

Artificial Intelligence · Computer Science 2024-09-06 Yu Wang , Shiwan Zhao , Zhihu Wang , Heyuan Huang , Ming Fan , Yubo Zhang , Zhixing Wang , Haijun Wang , Ting Liu

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

Recent studies have shown that Large Language Models (LLMs) can achieve strong reasoning performance by incorporating functional symbolic representations that abstractly describe graph traversal algorithms and step-by-step reasoning in…

Artificial Intelligence · Computer Science 2026-05-28 Phuong Minh Nguyen , Tien Huu Dang , Naoya Inoue

Self-correction has achieved impressive results in enhancing the style and security of the generated output from large language models (LLMs). However, recent studies suggest that self-correction might be limited or even counterproductive…

Computation and Language · Computer Science 2024-06-18 Che Zhang , Zhenyang Xiao , Chengcheng Han , Yixin Lian , Yuejian Fang

Recent advances in large language models (LLMs) have made reasoning a central benchmark for evaluating intelligence. While prior surveys focus on efficiency by examining how to shorten reasoning chains or reduce computation, this view…

Artificial Intelligence · Computer Science 2026-04-01 Chao Wu , Baoheng Li , Mingchen Gao , Yu Tian , Zhenyi Wang

Current literature, aiming to surpass the "Chain-of-Thought" approach, often resorts to external modi operandi involving halting, modifying, and then resuming the generation process to boost Large Language Models' (LLMs) reasoning…

Computation and Language · Computer Science 2024-06-04 Bilgehan Sel , Ahmad Al-Tawaha , Vanshaj Khattar , Ruoxi Jia , Ming Jin

The reasoning performance of Large Language Models (LLMs) on a wide range of problems critically relies on chain-of-thought prompting, which involves providing a few chain of thought demonstrations as exemplars in prompts. Recent work,…

Computation and Language · Computer Science 2025-01-08 Sijia Chen , Baochun Li , Di Niu

Large language models (LLMs) can perform complex reasoning by generating intermediate reasoning steps. Providing these steps for prompting demonstrations is called chain-of-thought (CoT) prompting. CoT prompting has two major paradigms. One…

Computation and Language · Computer Science 2022-10-10 Zhuosheng Zhang , Aston Zhang , Mu Li , Alex Smola

Adaptive reasoning is essential for aligning the computational effort of large language models (LLMs) with the intrinsic difficulty of problems. Current chain-of-thought methods boost reasoning ability but indiscriminately generate long…

Artificial Intelligence · Computer Science 2025-12-17 Ruofan Zhang , Bin Xia , Zhen Cheng , Cairen Jian , Minglun Yang , Ngai Wong , Yuan Cheng

Pretrained large language models (LLMs) are widely used in many sub-fields of natural language processing (NLP) and generally known as excellent few-shot learners with task-specific exemplars. Notably, chain of thought (CoT) prompting, a…

Computation and Language · Computer Science 2023-01-31 Takeshi Kojima , Shixiang Shane Gu , Machel Reid , Yutaka Matsuo , Yusuke Iwasawa

Current large-language models (LLMs) typically adopt a fixed reasoning strategy, either simple or complex, for all questions, regardless of their difficulty. This neglect of variation in task and reasoning process complexity leads to an…

Computation and Language · Computer Science 2025-05-27 Yi Wang , Junxiao Liu , Shimao Zhang , Jiajun Chen , Shujian Huang

Large Language Models (LLMs) have demonstrated remarkable progress in reasoning across diverse domains. However, effective reasoning in real-world tasks requires adapting the reasoning strategy to the demands of the problem, ranging from…

Computation and Language · Computer Science 2025-08-19 Xinda Jia , Jinpeng Li , Zezhong Wang , Jingjing Li , Xingshan Zeng , Yasheng Wang , Weinan Zhang , Yong Yu , Weiwen Liu

The rise of Large Language Models (LLMs) has sparked interest in their application to sequential recommendation tasks as they can provide supportive item information. However, due to the inherent complexities of sequential recommendation,…

Information Retrieval · Computer Science 2023-12-19 Yu Wang , Zhiwei Liu , Jianguo Zhang , Weiran Yao , Shelby Heinecke , Philip S. Yu

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

Chain-of-Thought (CoT) reasoning has emerged as a powerful tool for enhancing the problem-solving capabilities of large language models (LLMs). However, the theoretical foundations of learning from CoT data remain underdeveloped, and…

Artificial Intelligence · Computer Science 2025-07-29 Shai Shalev-Shwartz , Amnon Shashua

Reasoning is a cognitive process of using evidence to reach a sound conclusion. The reasoning capability is essential for large language models (LLMs) to serve as the brain of the artificial general intelligence agent. Recent studies reveal…

Computation and Language · Computer Science 2023-09-06 Peiyi Wang , Lei Li , Liang Chen , Feifan Song , Binghuai Lin , Yunbo Cao , Tianyu Liu , Zhifang Sui

While Chain of Thought (CoT) prompting approaches have significantly consolidated the reasoning capabilities of large language models (LLMs), they still face limitations that require extensive human effort or have performance needs to be…

Computation and Language · Computer Science 2025-06-02 Kangyang Luo , Zichen Ding , Zhenmin Weng , Lingfeng Qiao , Meng Zhao , Xiang Li , Di Yin , Jinlong Shu