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Large Language Models (LLMs) are being integrated into professional domains, yet their limitations in such high-stakes fields as law remain poorly understood. In response, this paper introduces examples of critical challenges to the…

Artificial Intelligence · Computer Science 2026-01-27 Eljas Linna , Tuula Linna

The exponential growth of academic publications poses challenges for the research process, such as literature review and procedural planning. Large Language Models (LLMs) have emerged as powerful AI tools, especially when combined with…

Applied Physics · Physics 2025-02-13 Joaquin Ramirez-Medina , Mohammadmehdi Ataei , Alidad Amirfazli

Existing benchmarks for evaluating mathematical reasoning in large language models (LLMs) rely primarily on competition problems, formal proofs, or artificially challenging questions -- failing to capture the nature of mathematics…

Artificial Intelligence · Computer Science 2025-10-21 Jie Zhang , Cezara Petrui , Kristina Nikolić , Florian Tramèr

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

Large language models (LLMs) are catalyzing the development of autonomous AI research agents for scientific and engineering discovery. We present FM Agent, a novel and general-purpose multi-agent framework that leverages a synergistic…

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

Mathematics is one of the most powerful conceptual systems developed and used by the human species. Dreams of automated mathematicians have a storied history in artificial intelligence (AI). Rapid progress in AI, particularly propelled by…

Neurons and Cognition · Quantitative Biology 2023-10-23 Cedegao E. Zhang , Katherine M. Collins , Adrian Weller , Joshua B. Tenenbaum

As artificial intelligence (AI) gains greater adoption in a wide variety of applications, it has immense potential to contribute to mathematical discovery, by guiding conjecture generation, constructing counterexamples, assisting in…

Artificial Intelligence · Computer Science 2023-10-27 Hassen Saidi , Susmit Jha , Tuhin Sahai

Large Reasoning Models (LRMs) like o3 and DeepSeek-R1 have achieved remarkable progress in reasoning tasks with long cot. However, they remain computationally inefficient and struggle with accuracy when solving problems requiring complex…

Artificial Intelligence · Computer Science 2026-03-03 Haipeng Luo , Huawen Feng , Qingfeng Sun , Can Xu , Kai Zheng , Yufei Wang , Tao Yang , Han Hu , Yansong Tang

Current evaluations of mathematical reasoning in large language models (LLMs) are dominated by static benchmarks, either derived from competition-style problems or curated through costly expert effort, resulting in limited coverage of…

Computation and Language · Computer Science 2026-05-08 Jicheng Ma , Guohua Wang , Xinhua Feng , Yiming Liu , Zhichao Hu , Yuhong Liu

Numerous studies have assessed the proficiency of AI systems, particularly large language models (LLMs), in facilitating everyday tasks such as email writing, question answering, and creative content generation. However, researchers face…

Large Reasoning Models (LRMs) have demonstrated remarkable problem-solving abilities in mathematics, as evaluated by existing benchmarks exclusively on well-defined problems. However, such evaluation setup constitutes a critical gap, since…

Artificial Intelligence · Computer Science 2025-08-18 Youcheng Huang , Bowen Qin , Chen Huang , Duanyu Feng , Xi Yang , Wenqiang Lei

Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in various fields, including science, engineering, finance, and everyday life. The development of artificial intelligence (AI) systems capable of solving…

Artificial Intelligence · Computer Science 2023-06-23 Pan Lu , Liang Qiu , Wenhao Yu , Sean Welleck , Kai-Wei Chang

The advancement in generative AI could be boosted with more accessible mathematics. Beyond human-AI chat, large language models (LLMs) are emerging in programming, algorithm discovery, and theorem proving, yet their genomics application is…

Other Quantitative Biology · Quantitative Biology 2023-07-07 Melanie Swan , Takashi Kido , Eric Roland , Renato P. dos Santos

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

Large Language Models (LLMs) have emerged as transformative tools in artificial intelligence (AI), exhibiting remarkable capabilities across diverse tasks such as text generation, reasoning, and decision-making. While their success has…

AI agents could accelerate scientific discovery by automating hypothesis formation, experiment design, coding, execution, and analysis, yet existing benchmarks probe narrow skills in simplified settings. To address this gap, we introduce…

Large Language Models (LLMs) are increasingly utilized in AI-driven educational instruction and assessment, particularly within mathematics education. The capability of LLMs to generate accurate answers and detailed solutions for math…

Artificial Intelligence · Computer Science 2025-08-15 Liang Zhang , Edith Aurora Graf

As the mathematical capabilities of large language models (LLMs) improve, it becomes increasingly important to evaluate their performance on research-level tasks at the frontier of mathematical knowledge. However, existing benchmarks are…