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State-of-the-art large language model (LLM) pipelines rely on bootstrapped reasoning loops: sampling diverse chains of thought and reinforcing the highest-scoring ones, mainly optimizing correctness. We analyze how this design choice is…

Machine Learning · Computer Science 2026-01-05 Max Ruiz Luyten , Mihaela van der Schaar

Large language models have recently evolved from fluent text generation to advanced reasoning across diverse domains, giving rise to reasoning language models. Among these domains, mathematical reasoning serves as a representative benchmark…

Reasoning language models have shown an uncanny ability to improve performance at test-time by ``thinking longer''-that is, by generating longer chain-of-thought sequences and hence using more compute. However, the length of their…

Computation and Language · Computer Science 2025-10-06 Pranjal Aggarwal , Sean Welleck

Multimodal Large Language Models (MLLMs) have demonstrated remarkable capabilities across diverse tasks, yet they lag significantly behind humans in spatial reasoning. We investigate this gap through Transformation-Driven Visual Reasoning…

Computer Vision and Pattern Recognition · Computer Science 2025-07-11 Zongzhao Li , Zongyang Ma , Mingze Li , Songyou Li , Yu Rong , Tingyang Xu , Ziqi Zhang , Deli Zhao , Wenbing Huang

Large language models (LLMs) equipped with chain-of-thought (CoT) achieve strong performance and offer a window into LLM behavior. However, recent evidence suggests that improvements in CoT capabilities often come with redundant reasoning…

Computation and Language · Computer Science 2026-02-03 Yanrui Du , Sendong Zhao , Yibo Gao , Danyang Zhao , Qika Lin , Ming Ma , Jiayun Li , Yi Jiang , Kai He , Qianyi Xu , Bing Qin , Mengling Feng

Step-by-step verifiers -- also known as process reward models (PRMs) -- are a key ingredient for test-time scaling. PRMs require step-level supervision, making them expensive to train. This work aims to build data-efficient PRMs as…

Machine Learning · Computer Science 2025-12-09 Muhammad Khalifa , Rishabh Agarwal , Lajanugen Logeswaran , Jaekyeom Kim , Hao Peng , Moontae Lee , Honglak Lee , Lu Wang

Recent diffusion large language models (dLLMs) have demonstrated both effectiveness and efficiency in reasoning via a block-based semi-autoregressive generation paradigm. Despite their progress, the fixed-size block generations remain a…

Machine Learning · Computer Science 2026-05-28 Yan Jiang , Ruihong Qiu , Zi Huang

Recent advancements in improving the reasoning capabilities of Large Language Models have underscored the efficacy of Process Reward Models (PRMs) in addressing intermediate errors through structured feedback mechanisms. This study analyzes…

Computation and Language · Computer Science 2025-06-03 Zhengyu Chen , Yudong Wang , Teng Xiao , Ruochen Zhou , Xuesheng Yang , Wei Wang , Zhifang Sui , Jingang Wang

Process Reward Models (PRMs) play a central role in evaluating and guiding multi-step reasoning in large language models (LLMs), especially for mathematical problem solving. However, we identify a pervasive length bias in existing PRMs:…

Computation and Language · Computer Science 2026-05-20 Congmin Zheng , Jiachen Zhu , Jianghao Lin , Xinyi Dai , Weiwen Liu , Haoxuan Li , Yong Yu , Weinan Zhang , Mengyue Yang

Test-time scaling (TTS) has emerged as a powerful paradigm for improving the reasoning ability of Large Language Models (LLMs) by allocating additional computation at inference, yet its application to multimodal systems such as…

Large language models (LLMs) have shown strong performance in many reasoning benchmarks. However, recent studies have pointed to memorization, rather than generalization, as one of the leading causes for such performance. LLMs, in fact, are…

Computation and Language · Computer Science 2025-09-19 Xingwei Tan , Marco Valentino , Mahmud Akhter , Maria Liakata , Nikolaos Aletras

Existing methods usually leverage a fixed strategy, such as natural language reasoning, code-augmented reasoning, tool-integrated reasoning, or ensemble-based reasoning, to guide Large Language Models (LLMs) to perform mathematical…

Artificial Intelligence · Computer Science 2025-09-30 Shihao Qi , Jie Ma , Ziang Yin , Lingling Zhang , Jian Zhang , Jun Liu , Feng Tian , Tongliang Liu

Large language models (LLMs) have achieved impressive results on multi-step mathematical reasoning, yet at the cost of high computational overhead. This challenge is particularly acute for test-time scaling methods such as parallel…

Machine Learning · Computer Science 2026-03-24 Yuanlin Chu , Bo Wang , Xiang Liu , Hong Chen , Aiwei Liu , Xuming Hu

Reinforcement Learning (RL) has emerged as a powerful paradigm for advancing Large Language Models (LLMs), achieving remarkable performance in complex reasoning domains such as mathematics and code generation. However, current RL methods…

Machine Learning · Computer Science 2025-12-10 Jingyu Xing , Chenwei Tang , Xinyu Liu , Deng Xiong , Shudong Huang , Wei Ju , Jiancheng Lv , Ziyue Qiao

Reinforcement learning (RL) has become a central paradigm for post-training large language models (LLMs), particularly for complex reasoning tasks, yet it often suffers from exploration collapse: policies prematurely concentrate on a small…

Machine Learning · Computer Science 2026-01-16 Zhiyuan Hu , Yucheng Wang , Yufei He , Jiaying Wu , Yilun Zhao , See-Kiong Ng , Cynthia Breazeal , Anh Tuan Luu , Hae Won Park , Bryan Hooi

Reasoning is an essential capacity for large language models (LLMs) to address complex tasks, where the identification of process errors is vital for improving this ability. Recently, process-level reward models (PRMs) were proposed to…

Artificial Intelligence · Computer Science 2025-03-18 Zhaopan Xu , Pengfei Zhou , Jiaxin Ai , Wangbo Zhao , Kai Wang , Xiaojiang Peng , Wenqi Shao , Hongxun Yao , Kaipeng Zhang

Reasoning has long been viewed as an emergent property of large language models (LLMs). However, recent studies challenge this assumption, showing that small language models (SLMs) can also achieve competitive reasoning performance. This…

Computation and Language · Computer Science 2025-10-01 Gaurav Srivastava , Shuxiang Cao , Xuan Wang

Large reasoning models (LRMs) have achieved remarkable progress on complex tasks by generating extended chains of thought (CoT). However, their uncontrolled output lengths pose significant challenges for real-world deployment, where…

Machine Learning · Computer Science 2025-05-22 Yuhui Xu , Hanze Dong , Lei Wang , Doyen Sahoo , Junnan Li , Caiming Xiong

Recent advances in Multi-Modal Large Language Models (MLLMs) have enabled unified processing of language, vision, and structured inputs, opening the door to complex tasks such as logical deduction, spatial reasoning, and scientific…

Artificial Intelligence · Computer Science 2025-07-03 Guiyao Tie , Xueyang Zhou , Tianhe Gu , Ruihang Zhang , Chaoran Hu , Sizhe Zhang , Mengqu Sun , Yan Zhang , Pan Zhou , Lichao Sun

Test-time scaling has proven effective in further enhancing the performance of pretrained Large Language Models (LLMs). However, mainstream post-training methods (i.e., reinforcement learning (RL) with chain-of-thought (CoT) reasoning)…

Machine Learning · Computer Science 2025-08-19 Yuyang Xu , Yi Cheng , Haochao Ying , Zhuoyun Du , Renjun Hu , Xing Shi , Wei Lin , Jian Wu
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