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The use of Large Language Models (LLMs) in mathematical reasoning has become a cornerstone of related research, demonstrating the intelligence of these models and enabling potential practical applications through their advanced performance,…

Computation and Language · Computer Science 2024-12-20 Kathrin Seßler , Yao Rong , Emek Gözlüklü , Enkelejda Kasneci

Large pretrained (e.g., "foundation") models exhibit distinct capabilities depending on the domain of data they are trained on. While these domains are generic, they may only barely overlap. For example, visual-language models (VLMs) are…

Large language models (LLMs) have recently shown remarkable performance in language tasks and beyond. However, due to their limited inherent causal reasoning ability, LLMs still face challenges in handling tasks that require robust causal…

Computation and Language · Computer Science 2025-03-13 Xin Li , Zhuo Cai , Shoujin Wang , Kun Yu , Fang Chen

Large Language Models are expressive tools that enable complex tasks of text understanding within Computational Social Science. Their versatility, while beneficial, poses a barrier for establishing standardized best practices within the…

Computers and Society · Computer Science 2024-08-05 Anders Giovanni Møller , Luca Maria Aiello

Despite their success in many natural language tasks, solving math problems remains a significant challenge for large language models (LLMs). A large gap exists between LLMs' pass-at-one and pass-at-N performance in solving math problems,…

Computation and Language · Computer Science 2023-10-17 Yixin Liu , Avi Singh , C. Daniel Freeman , John D. Co-Reyes , Peter J. Liu

Training large language models (LLMs) with synthetic reasoning data has become a popular approach to enhancing their reasoning capabilities, while a key factor influencing the effectiveness of this paradigm is the quality of the generated…

Artificial Intelligence · Computer Science 2026-03-24 Zhuojie Yang , Wentao Wan , Keze Wang

Large language models (LLMs) have demonstrated remarkable capabilities in language generation, understanding, and few-shot learning in recent years. An extensive body of work has explored how their performance may be further improved…

Computation and Language · Computer Science 2023-05-24 Yilun Du , Shuang Li , Antonio Torralba , Joshua B. Tenenbaum , Igor Mordatch

Recent advances in large language models (LLMs) have shown promise for scalable educational applications, but their use in dialog-based tutoring systems remains challenging due to the need for effective pedagogical strategies and the high…

Computation and Language · Computer Science 2024-10-28 Menna Fateen , Tsunenori Mine

Large language models (LLMs) often make reasoning errors when solving mathematical problems, and how to automatically detect and correct these errors has become an important research direction. However, existing approaches \textit{mainly…

Computation and Language · Computer Science 2025-11-19 Biaojie Zeng , Min Zhang , Juan Zhou , Fengrui Liu , Ruiyang Huang , Xin Lin

Studies have underscored how, regardless of the recent breakthrough and swift advances in AI research, even state-of-the-art Large Language models (LLMs) continue to struggle when performing logical and mathematical reasoning. The results…

Artificial Intelligence · Computer Science 2024-12-20 Federico Castagna , Isabel Sassoon , Simon Parsons

Large Language Models (LLMs), when used in educational settings without pedagogical fine-tuning, often provide immediate answers rather than guiding students through the problem-solving process. This approach falls short of pedagogically…

Computation and Language · Computer Science 2024-10-08 Shashank Sonkar , Kangqi Ni , Sapana Chaudhary , Richard G. Baraniuk

Large Language Models (LLMs) are transformer-based machine learning models that have shown remarkable performance in tasks for which they were not explicitly trained. Here, we explore the potential of LLMs to perform symbolic regression --…

Computation and Language · Computer Science 2026-04-17 Samiha Sharlin , Tyler R. Josephson

Existing efforts to improve logical reasoning ability of language models have predominantly relied on supervised fine-tuning, hindering generalization to new domains and/or tasks. The development of Large Langauge Models (LLMs) has…

Computation and Language · Computer Science 2024-06-18 Fangkai Jiao , Zhiyang Teng , Bosheng Ding , Zhengyuan Liu , Nancy F. Chen , Shafiq Joty

Although demonstrating remarkable performance on reasoning tasks, Large Language Models (LLMs) still tend to fabricate unreliable responses when confronted with problems that are unsolvable or beyond their capability, severely undermining…

Computation and Language · Computer Science 2025-11-13 Boyang Xue , Qi Zhu , Rui Wang , Sheng Wang , Hongru Wang , Minda Hu , Fei Mi , Yasheng Wang , Lifeng Shang , Qun Liu , Kam-Fai Wong

We present a new approach for benchmarking Large Language Model (LLM) capabilities on research-level mathematics. Existing benchmarks largely rely on static, hand-curated sets of contest or textbook-style problems as proxies for…

Artificial Intelligence · Computer Science 2026-03-02 Antoine Peyronnet , Fabian Gloeckle , Amaury Hayat

Large Language Models (LLMs) exhibit strong potential in mathematical reasoning, yet their effectiveness is often limited by a shortage of high-quality queries. This limitation necessitates scaling up computational responses through…

Artificial Intelligence · Computer Science 2025-05-20 Jingyue Gao , Runji Lin , Keming Lu , Bowen Yu , Junyang Lin , Jianyu Chen

The increasing demand for intelligent systems capable of interpreting and reasoning about visual content requires the development of large Vision-and-Language Models (VLMs) that are not only accurate but also have explicit reasoning…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Kohei Uehara , Nabarun Goswami , Hanqin Wang , Toshiaki Baba , Kohtaro Tanaka , Tomohiro Hashimoto , Kai Wang , Rei Ito , Takagi Naoya , Ryo Umagami , Yingyi Wen , Tanachai Anakewat , Tatsuya Harada

In this paper, we investigate the underlying factors that potentially enhance the mathematical reasoning capabilities of large language models (LLMs). We argue that the data scaling law for math reasoning capabilities in modern LLMs is far…

Artificial Intelligence · Computer Science 2024-07-18 Liang Zeng , Liangjun Zhong , Liang Zhao , Tianwen Wei , Liu Yang , Jujie He , Cheng Cheng , Rui Hu , Yang Liu , Shuicheng Yan , Han Fang , Yahui Zhou

The rise of generative large language models (LLMs) has opened new opportunities for automating knowledge representation through concept maps, a long-standing pedagogical tool valued for fostering meaningful learning and higher-order…

Computers and Society · Computer Science 2025-09-19 Xiaoming Zhai

Although Large Language Models (LLMs) have demonstrated impressive formal reasoning abilities, they often break down when problems require complex proof planning. One promising approach for improving LLM reasoning abilities involves…

Artificial Intelligence · Computer Science 2026-01-27 Joseph Cotnareanu , Didier Chetelat , Yingxue Zhang , Mark Coates
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