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The cognitive mechanism by which Large Language Models (LLMs) solve mathematical problems remains a widely debated and unresolved issue. Currently, there is little interpretable experimental evidence that connects LLMs' problem-solving with…

Artificial Intelligence · Computer Science 2025-09-23 Wei Xie , Shuoyoucheng Ma , Zhenhua Wang , Enze Wang , Kai Chen , Xiaobing Sun , Baosheng Wang

Recent advances in large language models (LLMs) and multimodal LLMs (MLLMs) have led to strong reasoning ability across a wide range of tasks. However, their ability to perform mathematical reasoning from spoken input remains underexplored.…

Computation and Language · Computer Science 2025-05-22 Chengwei Wei , Bin Wang , Jung-jae Kim , Nancy F. Chen

The ability of Large Language Models (LLMs) to critique and refine their reasoning is crucial for their application in evaluation, feedback provision, and self-improvement. This paper introduces CriticBench, a comprehensive benchmark…

Computation and Language · Computer Science 2024-06-04 Zicheng Lin , Zhibin Gou , Tian Liang , Ruilin Luo , Haowei Liu , Yujiu Yang

Large Language Models (LLMs) have made significant strides in mathematical reasoning, underscoring the need for a comprehensive and fair evaluation of their capabilities. However, existing benchmarks often fall short, either lacking…

Computation and Language · Computer Science 2025-02-26 Xin Xu , Jiaxin Zhang , Tianhao Chen , Zitong Chao , Jishan Hu , Can Yang

The rapid advancement of large language models (LLMs) has shown remarkable progress in complex reasoning tasks. However, a significant disparity exists between benchmark performances and real-world applications. We attribute this gap…

Artificial Intelligence · Computer Science 2025-08-11 Junnan Liu , Hongwei Liu , Linchen Xiao , Ziyi Wang , Kuikun Liu , Songyang Gao , Wenwei Zhang , Songyang Zhang , Kai Chen

Contemporary large language models (LLMs) have demonstrated remarkable reasoning capabilities, particularly in specialized domains like mathematics and physics. However, their ability to generalize these reasoning skills to more general and…

Computation and Language · Computer Science 2026-04-14 Junlin Liu , Shengnan An , Shuang Zhou , Dan Ma , Shixiong Luo , Ying Xie , Yuan Zhang , Wenling Yuan , Yifan Zhou , Xiaoyu Li , Ziwen Wang , Xuezhi Cao , Xunliang Cai

Large Language Models (LLMs) have demonstrated impressive capabilities in natural language processing tasks, such as text generation and semantic understanding. However, their performance on numerical reasoning tasks, such as basic…

Computation and Language · Computer Science 2025-06-04 Haoyang Li , Xuejia Chen , Zhanchao XU , Darian Li , Nicole Hu , Fei Teng , Yiming Li , Luyu Qiu , Chen Jason Zhang , Qing Li , Lei Chen

Recent studies have raised significant concerns regarding the reliability of current mathematics benchmarks, highlighting issues such as simplistic design and potential data contamination. Consequently, developing a reliable benchmark that…

Computation and Language · Computer Science 2025-08-14 Zijin Hong , Hao Wu , Su Dong , Junnan Dong , Yilin Xiao , Yujing Zhang , Zhu Wang , Feiran Huang , Linyi Li , Hongxia Yang , Xiao Huang

The leaderboard of Large Language Models (LLMs) in mathematical tasks has been continuously updated. However, the majority of evaluations focus solely on the final results, neglecting the quality of the intermediate steps. This oversight…

Computation and Language · Computer Science 2025-01-15 Shijie Xia , Xuefeng Li , Yixin Liu , Tongshuang Wu , Pengfei Liu

To reduce the need for human annotations, large language models (LLMs) have been proposed as judges of the quality of other candidate models. The performance of LLM judges is typically evaluated by measuring the correlation with human…

Computation and Language · Computer Science 2025-05-14 Andreas Stephan , Dawei Zhu , Matthias Aßenmacher , Xiaoyu Shen , Benjamin Roth

Large Language Models (LLMs) are increasingly being used in education, yet their correctness alone does not capture the quality, reliability, or pedagogical validity of their problem-solving behavior, especially in mathematics, where…

Computers and Society · Computer Science 2025-10-22 Sagnik Dakshit , Sushmita Sinha Roy

Recently, Large Language Models (LLMs) have drawn significant attention due to their outstanding reasoning capabilities and extensive knowledge repository, positioning them as superior in handling various natural language processing tasks…

Computation and Language · Computer Science 2023-11-30 Han Cao , Lingwei Wei , Mengyang Chen , Wei Zhou , Songlin Hu

Large language models (LLMs) with billions of parameters exhibit in-context learning abilities, enabling few-shot learning on tasks that the model was not specifically trained for. Traditional models achieve breakthrough performance on…

Artificial Intelligence · Computer Science 2025-11-04 Aske Plaat , Annie Wong , Suzan Verberne , Joost Broekens , Niki van Stein , Thomas Back

Reasoning is a fundamental aspect of human intelligence that plays a crucial role in activities such as problem solving, decision making, and critical thinking. In recent years, large language models (LLMs) have made significant progress in…

Computation and Language · Computer Science 2023-05-29 Jie Huang , Kevin Chen-Chuan Chang

Mathematical reasoning, a core aspect of human cognition, is vital across many domains, from educational problem-solving to scientific advancements. As artificial general intelligence (AGI) progresses, integrating large language models…

Computation and Language · Computer Science 2025-05-21 Yibo Yan , Jiamin Su , Jianxiang He , Fangteng Fu , Xu Zheng , Yuanhuiyi Lyu , Kun Wang , Shen Wang , Qingsong Wen , Xuming Hu

The math abilities of large language models can represent their abstract reasoning ability. In this paper, we introduce and open-source our math reasoning LLMs InternLM-Math which is continue pre-trained from InternLM2. We unify…

Large language models have emerged abilities including chain-of-thought to answer math word problems step by step. Solving math word problems not only requires abilities to disassemble problems via chain-of-thought but also needs to…

Computation and Language · Computer Science 2023-04-06 Zheng Yuan , Hongyi Yuan , Chuanqi Tan , Wei Wang , Songfang Huang

Large Language Models (LLMs) have showcased impressive reasoning capabilities, particularly when guided by specifically designed prompts in complex reasoning tasks such as math word problems. These models typically solve tasks using a…

Artificial Intelligence · Computer Science 2024-04-23 Lang Cao

The remarkable progress of Multi-modal Large Language Models (MLLMs) has garnered unparalleled attention, due to their superior performance in visual contexts. However, their capabilities in visual math problem-solving remain insufficiently…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Renrui Zhang , Dongzhi Jiang , Yichi Zhang , Haokun Lin , Ziyu Guo , Pengshuo Qiu , Aojun Zhou , Pan Lu , Kai-Wei Chang , Peng Gao , Hongsheng Li

The evaluation of Large Language Models (LLMs) on mathematical reasoning has largely focused on elementary problems, competition-style questions, or formal theorem proving, leaving graduate-level and computational mathematics relatively…

Computation and Language · Computer Science 2026-03-05 Bianca Raimondi , Francesco Pivi , Davide Evangelista , Maurizio Gabbrielli