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Artificial intelligence (AI) has demonstrated impressive progress in mathematical reasoning, yet its integration into the practice of mathematical research remains limited. In this study, we investigate how the AI Mathematician (AIM) system…

人工智能 · 计算机科学 2025-10-31 Yuanhang Liu , Beichen Wang , Peng Li , Yang Liu

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…

计算与语言 · 计算机科学 2025-05-21 Yibo Yan , Jiamin Su , Jianxiang He , Fangteng Fu , Xu Zheng , Yuanhuiyi Lyu , Kun Wang , Shen Wang , Qingsong Wen , Xuming Hu

AI for Mathematics (AI4Math) has emerged as a distinct field that leverages machine learning to navigate mathematical landscapes historically intractable for early symbolic systems. While mid-20th-century symbolic approaches successfully…

历史与综述 · 数学 2026-05-05 Haocheng Ju , Bin Dong

The philosophy of mathematical practice (PMP) looks to evidence from working mathematics to help settle philosophical questions. One prominent program under the PMP banner is the study of explanation in mathematics, which aims to understand…

历史与综述 · 数学 2025-07-08 William D'Alessandro

This research is aimed to propose an artificial intelligence algorithm comprising an ontology-based design, text mining, and natural language processing for automatically generating gap-fill multiple choice questions (MCQs). The simulation…

人工智能 · 计算机科学 2021-09-24 Pornpat Sirithumgul , Pimpaka Prasertsilp , Lorne Olfman

The vocabulary mismatch problem is a long-standing problem in information retrieval. Semantic matching holds the promise of solving the problem. Recent advances in language technology have given rise to unsupervised neural models for…

信息检索 · 计算机科学 2016-11-11 Kezban Dilek Onal , Ismail Sengor Altingovde , Pinar Karagoz , Maarten de Rijke

Previous math word problem solvers following the encoder-decoder paradigm fail to explicitly incorporate essential math symbolic constraints, leading to unexplainable and unreasonable predictions. Herein, we propose Neural-Symbolic Solver…

计算与语言 · 计算机科学 2021-07-06 Jinghui Qin , Xiaodan Liang , Yining Hong , Jianheng Tang , Liang Lin

AI for Mathematics (AI4Math) is not only intriguing intellectually but also crucial for AI-driven discovery in science, engineering, and beyond. Extensive efforts on AI4Math have mirrored techniques in NLP, in particular, training large…

人工智能 · 计算机科学 2024-12-23 Kaiyu Yang , Gabriel Poesia , Jingxuan He , Wenda Li , Kristin Lauter , Swarat Chaudhuri , Dawn Song

One major problem in Natural Language Processing is the automatic analysis and representation of human language. Human language is ambiguous and deeper understanding of semantics and creating human-to-machine interaction have required an…

计算与语言 · 计算机科学 2022-06-01 Neslihan Suzen , Alexander N. Gorban , Jeremy Levesley , Evgeny M. Mirkes

Large language models (LLMs) have achieved strong performance on reasoning benchmarks, yet their ability to solve real-world problems requiring end-to-end workflows remains unclear. Mathematical modeling competitions provide a stringent…

计算与语言 · 计算机科学 2026-04-07 Yuhang Liu , Heyan Huang , Yizhe Yang , Hongyan Zhao , Zhizhuo Zeng , Yang Gao

The field of eXplainable artificial intelligence (XAI) has produced a plethora of methods (e.g., saliency-maps) to gain insight into artificial intelligence (AI) models, and has exploded with the rise of deep learning (DL). However,…

人机交互 · 计算机科学 2024-04-12 Marvin Pafla , Kate Larson , Mark Hancock

The field of machine learning (ML) has gained widespread adoption, leading to significant demand for adapting ML to specific scenarios, which is yet expensive and non-trivial. The predominant approaches towards the automation of solving ML…

机器学习 · 计算机科学 2024-02-20 Lei Zhang , Yuge Zhang , Kan Ren , Dongsheng Li , Yuqing Yang

Multi-hop questions still stump large language models (LLMs), which struggle to link information across multiple reasoning steps. We introduce Auto-Patch, a novel method that dynamically patches hidden states during inference to enhance…

计算与语言 · 计算机科学 2025-06-03 Aviv Jan , Dean Tahory , Omer Talmi , Omar Abo Mokh

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…

计算与语言 · 计算机科学 2025-03-20 Shuguang Chen , Guang Lin

PDEs are central to scientific and engineering modeling, yet designing accurate numerical solvers typically requires substantial mathematical expertise and manual tuning. Recent neural network-based approaches improve flexibility but often…

人工智能 · 计算机科学 2026-02-20 Jianda Du , Youran Sun , Haizhao Yang

Large Language Models (LLMs) excel at various tasks, including solving math word problems (MWPs), but struggle with real-world problems containing irrelevant information. To address this, we propose a prompting framework that generates…

计算与语言 · 计算机科学 2025-09-17 Ujjwala Anantheswaran , Himanshu Gupta , Kevin Scaria , Shreyas Verma , Chitta Baral , Swaroop Mishra

Mathematical reasoning in large language models (LMs) has garnered significant attention in recent work, but there is a limited understanding of how these models process and store information related to arithmetic tasks within their…

计算与语言 · 计算机科学 2023-10-23 Alessandro Stolfo , Yonatan Belinkov , Mrinmaya Sachan

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

人工智能 · 计算机科学 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Mathematical problem solving is a fundamental benchmark for assessing the reasoning capabilities of artificial intelligence and a gateway to applications in education, science, and engineering where reliable symbolic reasoning is essential.…

人工智能 · 计算机科学 2026-02-10 Aditya Basarkar , Benyamin Tabarsi , Tiffany Barnes , Dongkuan Xu

New machine translations (MT) technologies are emerging rapidly and with them, bold claims of achieving human parity such as: (i) the results produced approach "accuracy achieved by average bilingual human translators" (Wu et al., 2017b) or…

计算与语言 · 计算机科学 2020-04-01 Eva Vanmassenhove