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Reasoning is an important task for large language models (LLMs). Among all the reasoning paradigms, inductive reasoning is one of the fundamental types, which is characterized by its particular-to-general thinking process and the…

Computation and Language · Computer Science 2026-04-14 Kedi Chen , Dezhao Ruan , Yuhao Dan , Yaoting Wang , Siyu Yan , Xuecheng Wu , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Biqing Qi , Linyang Li , Qipeng Guo , Xiaoming Shi , Wei Zhang

Reinforcement learning (RL) has become a powerful approach for improving the reasoning capabilities of large language models (LLMs), as evidenced by recent successes such as OpenAI's o1 and Deepseek-R1. However, applying RL at scale remains…

Machine Learning · Computer Science 2025-06-23 Siru Ouyang , Xinyu Zhu , Zilin Xiao , Minhao Jiang , Yu Meng , Jiawei Han

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

While long, explicit chains-of-thought (CoT) have proven effective on complex reasoning tasks, they are costly to generate during inference. Non-verbal reasoning methods have emerged with shorter generation lengths by leveraging continuous…

Computation and Language · Computer Science 2026-04-28 Keshav Ramji , Tahira Naseem , Ramón Fernandez Astudillo

Recent advancements in the field of large language models, particularly through the Chain of Thought (CoT) approach, have demonstrated significant improvements in solving complex problems. However, existing models either tend to sacrifice…

Computation and Language · Computer Science 2025-12-30 Yijiong Yu

Chain-of-thought (CoT) reasoning enables large language models (LLMs) to break down complex problems into interpretable intermediate steps, significantly enhancing model transparency and performance in reasoning tasks. However, conventional…

Machine Learning · Computer Science 2026-01-30 Junda Wu , Yuxin Xiong , Xintong Li , Sheldon Yu , Zhengmian Hu , Tong Yu , Rui Wang , Xiang Chen , Jingbo Shang , Julian McAuley

Reasoning can significantly enhance the performance of Large Language Models. While recent studies have exploited behavior-related prompts adjustment to enhance reasoning, these designs remain largely intuitive and lack a systematic…

Artificial Intelligence · Computer Science 2026-02-13 Xiuping Wu , Zhao Yu , Yuxin Cheng , Ngai Wong , Liangjun Ke , Tapas Mishra , Konstantinos V. Katsikopoulos

Recent language models achieve impressive results in tasks involving complex multistep reasoning, but scaling these capabilities further traditionally requires expensive collection of more annotated data. In this work, we explore the…

Computation and Language · Computer Science 2024-10-25 Marek Kadlčík , Michal Štefánik

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

Recent advancements in Reinforcement Post-Training (RPT) have significantly enhanced the capabilities of Large Reasoning Models (LRMs), sparking increased interest in the generalization of RL-based reasoning. While existing work has…

Computation and Language · Computer Science 2025-10-03 Wen Yang , Junhong Wu , Chong Li , Chengqing Zong , Jiajun Zhang

Recent progress in multimodal large language models has led to strong performance on reasoning tasks, but these improvements largely rely on high-quality annotated data or teacher-model distillation, both of which are costly and difficult…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Zhengxian Wu , Kai Shi , Chuanrui Zhang , Zirui Liao , Jun Yang , Ni Yang , Qiuying Peng , Luyuan Zhang , Hangrui Xu , Tianhuang Su , Zhenyu Yang , Haonan Lu , Haoqian Wang

Self-training approach for large language models (LLMs) improves reasoning abilities by training the models on their self-generated rationales. Previous approaches have labeled rationales that produce correct answers for a given question as…

Machine Learning · Computer Science 2025-02-07 Jaehyeok Lee , Keisuke Sakaguchi , JinYeong Bak

Discrete diffusion models have recently become competitive with autoregressive models for language modeling, even outperforming them on reasoning tasks requiring planning and global coherence, but they require more computation at inference…

Machine Learning · Computer Science 2026-02-04 Andre He , Sean Welleck , Daniel Fried

Large Language Models (LLMs) have demonstrated amazing capabilities in language generation, text comprehension, and knowledge reasoning. While a single powerful model can already handle multiple tasks, relying on a single perspective can…

Computation and Language · Computer Science 2024-06-12 Zining Qin , Chenhao Wang , Huiling Qin , Weijia Jia

Understanding a program's runtime reasoning behavior, meaning how intermediate states and control flows lead to final execution results, is essential for reliable code generation, debugging, and automated reasoning. Although large language…

Software Engineering · Computer Science 2025-12-02 Mohammad Abdollahi , Khandaker Rifah Tasnia , Soumit Kanti Saha , Jinqiu Yang , Song Wang , Hadi Hemmati

Unlike autoregressive models, which generate tokens sequentially and benefit from reasoning-before-answering strategies such as Chain-of-Thought, Masked Diffusion Language Models (MDLMs) refine all sequence positions simultaneously, raising…

Computation and Language · Computer Science 2026-03-03 Jacob Devasier

Reasoning requires going beyond pattern matching or memorization of solutions to identify and implement "algorithmic procedures" that can be used to deduce answers to hard problems. Doing so requires realizing the most relevant primitives,…

Artificial Intelligence · Computer Science 2025-10-03 Yuxiao Qu , Anikait Singh , Yoonho Lee , Amrith Setlur , Ruslan Salakhutdinov , Chelsea Finn , Aviral Kumar

This paper introduces a novel Bayesian learning model to explain the behavior of Large Language Models (LLMs), focusing on their core optimization metric of next token prediction. We develop a theoretical framework based on an ideal…

Machine Learning · Computer Science 2024-09-25 Siddhartha Dalal , Vishal Misra

Reasoning-based language models have demonstrated strong performance across various domains, with the most notable gains seen in mathematical and coding tasks. Recent research has shown that reasoning also offers significant benefits for…

Artificial Intelligence · Computer Science 2025-05-27 Makesh Narsimhan Sreedhar , Traian Rebedea , Christopher Parisien

Large reasoning models (LRMs) are proficient at generating explicit, step-by-step reasoning sequences before producing final answers. However, such detailed reasoning can introduce substantial computational overhead and latency,…

Computation and Language · Computer Science 2025-10-10 Songjun Tu , Jiahao Lin , Qichao Zhang , Xiangyu Tian , Linjing Li , Xiangyuan Lan , Dongbin Zhao
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