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Pseudo-arclength continuation is a well-established method for generating a numerical curve approximating the solution of an underdetermined system of nonlinear equations. It is an inherently sequential predictor-corrector method in which…

Numerical Analysis · Mathematics 2013-12-13 Dhavide Aruliah , Lennaert van Veen , Alex Dubitski

Analogical reasoning is a fundamental capacity of human cognition that allows us to reason abstractly about novel situations by relating them to past experiences. While it is thought to be essential for robust reasoning in AI systems,…

Artificial Intelligence · Computer Science 2023-06-06 Xiaoyang Hu , Shane Storks , Richard L. Lewis , Joyce Chai

Recent advancements in Large Reasoning Models (LRMs), such as OpenAI's o1/o3 and DeepSeek-R1, have demonstrated remarkable performance in specialized reasoning tasks through human-like deliberative thinking and long chain-of-thought…

Artificial Intelligence · Computer Science 2025-11-20 Weixiang Zhao , Xingyu Sui , Jiahe Guo , Yulin Hu , Yang Deng , Yanyan Zhao , Xuda Zhi , Yongbo Huang , Hao He , Wanxiang Che , Ting Liu , Bing Qin

In the era of Industry 4.0, the focus is on the minimization of human element and maximizing the automation in almost all the industrial and manufacturing establishments. These establishments contain numerous processing systems, which can…

Artificial Intelligence · Computer Science 2020-05-01 Prashant K Gupta , Pranab K. Muhuri

While large language models (LLMs) have significantly advanced mathematical reasoning, Process Reward Models (PRMs) have been developed to evaluate the logical validity of reasoning steps. However, PRMs still struggle with…

Artificial Intelligence · Computer Science 2025-02-21 Jiachen Zhu , Congmin Zheng , Jianghao Lin , Kounianhua Du , Ying Wen , Yong Yu , Jun Wang , Weinan Zhang

Recent advancements in Chain-of-Thought prompting have facilitated significant breakthroughs for Large Language Models (LLMs) in complex reasoning tasks. Current research enhances the reasoning performance of LLMs by sampling multiple…

Computation and Language · Computer Science 2024-05-22 Zhangyue Yin , Qiushi Sun , Qipeng Guo , Zhiyuan Zeng , Xiaonan Li , Tianxiang Sun , Cheng Chang , Qinyuan Cheng , Ding Wang , Xiaofeng Mou , Xipeng Qiu , XuanJing Huang

Automatic speech recognition (ASR) has benefited from advances in pretrained speech and language models, yet most systems remain constrained to monolingual settings and short, isolated utterances. While recent efforts in context-aware ASR…

Computation and Language · Computer Science 2026-03-09 Yuchen Zhang , Haralambos Mouratidis , Ravi Shekhar

Retrieval-Augmented Generation (RAG) has become a cornerstone technique for enhancing large language models (LLMs) with external knowledge. However, current RAG systems face two critical limitations: (1) they inefficiently retrieve…

Computation and Language · Computer Science 2025-08-07 Wang Chen , Guanqiang Qi , Weikang Li , Yang Li , Deguo Xia , Jizhou Huang

With the advancement of deep learning techniques, the performance of Automatic Program Repair(APR) techniques has reached a new level. Previous deep learning-based APR techniques essentially modified program sentences in the…

Software Engineering · Computer Science 2024-06-25 Zhenyu Yang , Zhen Yang , Zhongxing Yu

Large language models (LLMs) have shown remarkable reasoning capabilities, yet aligning such abilities to small language models (SLMs) remains a challenge due to distributional mismatches and limited model capacity. Existing reasoning…

Computation and Language · Computer Science 2025-05-28 Yong Wu , Weihang Pan , Ke Li , Chen Binhui , Ping Li , Binbin Lin

Test-time scaling has emerged as a transformative paradigm for enhancing the performance of large reasoning models, enabling dynamic allocation of computational resources during inference. However, as the landscape of reasoning models…

Artificial Intelligence · Computer Science 2025-10-08 Zhangyue Yin , Qiushi Sun , Zhiyuan Zeng , Zhiyuan Yu , Qipeng Guo , Xuanjing Huang , Xipeng Qiu

Large Language Models (LLMs) have exhibited an impressive capability to perform reasoning tasks, especially if they are encouraged to generate a sequence of intermediate steps. Reasoning performance can be improved by suitably combining…

Computation and Language · Computer Science 2025-04-11 Soumyasundar Pal , Didier Chételat , Yingxue Zhang , Mark Coates

Large Reasoning Models (LRMs) have revolutionized complex problem-solving, yet they exhibit a pervasive "overthinking", generating unnecessarily long reasoning chains. While current solutions improve token efficiency, they often sacrifice…

Artificial Intelligence · Computer Science 2026-04-10 Weiyang Huang , Xuefeng Bai , Kehai Chen , Xinyang Chen , Yibin Chen , Weili Guan , Min Zhang

Languages encode distinct abstractions and inductive priors, yet most large language models (LLMs) overlook this diversity by reasoning in a single dominant language. In this work, we introduce x1, a family of reasoning models that can…

Computation and Language · Computer Science 2026-04-21 Yangfan Ye , Xiaocheng Feng , Xiachong Feng , Yichong Huang , Zekun Yuan , Lei Huang , Weitao Ma , Qichen Hong , Yunfei Lu , Dandan Tu , Bing Qin

Retrieval-augmented generation (RAG) has been extensively employed to mitigate hallucinations in large language models (LLMs). However, existing methods for multi-hop reasoning tasks often lack global planning, increasing the risk of…

Computation and Language · Computer Science 2025-11-14 Yijie Zhu , Haojie Zhou , Wanting Hong , Tailin Liu , Ning Wang

Large language models (LLMs) often face a bottleneck in inference speed due to their reliance on auto-regressive decoding. Recently, parallel decoding has shown significant promise in enhancing inference efficiency. However, we have…

Computation and Language · Computer Science 2024-10-18 Yuxuan Liu , Wenyuan Li , Laizhong Cui , Hailiang Yang

Large language models (LLMs) have shown impressive capabilities, but still struggle with complex reasoning tasks requiring multiple steps. While prompt-based methods like Chain-of-Thought (CoT) can improve LLM reasoning at inference time,…

Artificial Intelligence · Computer Science 2024-11-25 Haolin Chen , Yihao Feng , Zuxin Liu , Weiran Yao , Akshara Prabhakar , Shelby Heinecke , Ricky Ho , Phil Mui , Silvio Savarese , Caiming Xiong , Huan Wang

Reinforcement learning (RL) has emerged as a promising strategy for improving the reasoning capabilities of language models (LMs) in domains such as mathematics and coding. However, most modern RL algorithms were designed to target robotics…

Artificial Intelligence · Computer Science 2025-05-26 Lianghuan Huang , Shuo Li , Sagnik Anupam , Insup Lee , Osbert Bastani

Large language models (LLMs) are designed to perform a wide range of tasks. To improve their ability to solve complex problems requiring multi-step reasoning, recent research leverages process reward modeling to provide fine-grained…

Computation and Language · Computer Science 2025-09-29 Weixuan Wang , Minghao Wu , Barry Haddow , Alexandra Birch

Recent reasoning Large Language Models (LLMs) demonstrate remarkable problem-solving abilities but often generate long thinking traces whose utility is unclear. Our work aims to improve their efficiency, enabling them to reach high…

Computation and Language · Computer Science 2026-05-11 Xiang Liu , Xuming Hu , Xiaowen Chu , Eunsol Choi