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This paper presents a comprehensive overview on the applications of artificial intelligence (AI) in mathematical research, highlighting the transformative role AI has begun to play in this domain. Traditionally, AI advancements have heavily…

Artificial Intelligence · Computer Science 2026-02-16 Shizhe Liang , Wei Zhang , Tianyang Zhong , Tianming Liu

To retrieve and compare scientific data of simulations and experiments in materials science, data needs to be easily accessible and machine readable to qualify and quantify various materials science phenomena. The recent progress in open…

Materials Science · Physics 2025-03-25 Balduin Katzer , Steffen Klinder , Katrin Schulz

Digital mathematical libraries (DMLs) such as arXiv, Numdam, and EuDML contain mainly documents from STEM fields, where mathematical formulae are often more important than text for understanding. Conventional information retrieval (IR)…

Information Retrieval · Computer Science 2018-08-29 Petr Sojka , Michal Růžička , Vít Novotný

Scientific progress depends on researchers' ability to synthesize the growing body of literature. Can large language models (LMs) assist scientists in this task? We introduce OpenScholar, a specialized retrieval-augmented LM that answers…

We are designing and developing a web user interface for digital mathematics libraries called WebMIaS. It allows queries to be expressed by mathematicians through a faceted search interface. Users can combine standard textual autocompleted…

Digital Libraries · Computer Science 2016-03-27 Martin Líška , Petr Sojka , Michal Růžička

In the field of machine learning, data understanding is the practice of getting initial insights in unknown datasets. Such knowledge-intensive tasks require a lot of documentation, which is necessary for data scientists to grasp the meaning…

Databases · Computer Science 2018-06-14 Markus Schröder , Christian Jilek , Jörn Hees , Andreas Dengel

Mathematical information retrieval is a relatively new area, so the first search tools capable of retrieving mathematical formulas began to appear only a few years ago. The proposals made public so far mostly implement searches on internal…

Information Retrieval · Computer Science 2018-08-28 Ricardo M. Oliveira , Flavio B. Gonzaga , Valmir C. Barbosa , Geraldo B. Xexéo

In recent years, there has been remarkable progress in leveraging Language Models (LMs), encompassing Pre-trained Language Models (PLMs) and Large-scale Language Models (LLMs), within the domain of mathematics. This paper conducts a…

Computation and Language · Computer Science 2025-01-03 Wentao Liu , Hanglei Hu , Jie Zhou , Yuyang Ding , Junsong Li , Jiayi Zeng , Mengliang He , Qin Chen , Bo Jiang , Aimin Zhou , Liang He

Nowadays, Machine Learning (ML) is seen as the universal solution to improve the effectiveness of information retrieval (IR) methods. However, while mathematics is a precise and accurate science, it is usually expressed by less accurate and…

Digital Libraries · Computer Science 2020-12-22 André Greiner-Petter , Terry Ruas , Moritz Schubotz , Akiko Aizawa , William Grosky , Bela Gipp

In today's fast-evolving business landscape, having insight into the technology stacks that organizations use is crucial for forging partnerships, uncovering market openings, and informing strategic choices. However, conventional technology…

Information Retrieval · Computer Science 2025-01-28 Minh Hieu Nguyen , Hien Thu Pham , Hiep Minh Ha , Ngoc Quang Hung Le , Jun Jo

Current LLM training positions mathematical reasoning as a core capability. With publicly available sources fully tapped, there is unmet demand for diverse and challenging math questions. Relying solely on human experts is both…

Artificial Intelligence · Computer Science 2025-02-04 Vedant Shah , Dingli Yu , Kaifeng Lyu , Simon Park , Jiatong Yu , Yinghui He , Nan Rosemary Ke , Michael Mozer , Yoshua Bengio , Sanjeev Arora , Anirudh Goyal

Retrieval-Augmented Generation (RAG) systems using Multimodal Large Language Models (MLLMs) show great promise for complex document understanding, yet their development is critically hampered by inadequate evaluation. Current benchmarks…

Computation and Language · Computer Science 2025-08-06 Wenxuan Shen , Mingjia Wang , Yaochen Wang , Dongping Chen , Junjie Yang , Yao Wan , Weiwei Lin

Large Language Models (LLMs) have demonstrated strong performance across a wide range of tasks, yet they still struggle with complex mathematical reasoning, a challenge fundamentally rooted in deep structural dependencies. To address this…

Artificial Intelligence · Computer Science 2025-12-01 Lei Zan , Keli Zhang , Ruichu Cai , Lujia Pan

Semantic retrieval is crucial for modern applications yet remains underexplored in current research. Existing datasets are limited to single languages, single images, or singular retrieval conditions, often failing to fully exploit the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Wei Chow , Yuan Gao , Linfeng Li , Xian Wang , Qi Xu , Hang Song , Lingdong Kong , Ran Zhou , Yi Zeng , Yidong Cai , Botian Jiang , Shilin Xu , Jiajun Zhang , Minghui Qiu , Xiangtai Li , Tianshu Yang , Siliang Tang , Juncheng Li

Large language models have demonstrated impressive capabilities across various natural language processing tasks, especially in solving mathematical problems. However, large language models are not good at math theorem proving using formal…

Computation and Language · Computer Science 2025-06-19 Huaiyuan Ying , Zijian Wu , Yihan Geng , Zheng Yuan , Dahua Lin , Kai Chen

Large language models demonstrate promising long context processing capabilities, with recent models touting context windows close to one million tokens. However, the evaluations supporting these claims often involve simple retrieval tasks…

Computation and Language · Computer Science 2025-02-25 Damien Sileo

Large language models (LLMs) have emerged as a widely-used tool for information seeking, but their generated outputs are prone to hallucination. In this work, our aim is to allow LLMs to generate text with citations, improving their factual…

Computation and Language · Computer Science 2023-11-01 Tianyu Gao , Howard Yen , Jiatong Yu , Danqi Chen

Automating the formalization of mathematical statements for theorem proving remains a major challenge for Large Language Models (LLMs). LLMs struggle to identify and utilize the prerequisite mathematical knowledge and its corresponding…

Artificial Intelligence · Computer Science 2026-04-08 Meiru Zhang , Philipp Borchert , Milan Gritta , Gerasimos Lampouras

Contemporary approaches to assisted scientific discovery use language models to automatically generate large numbers of potential hypothesis to test, while also automatically generating code-based experiments to test those hypotheses. While…

Artificial Intelligence · Computer Science 2025-09-23 Peter Jansen , Samiah Hassan , Ruoyao Wang

The relevance between a query and a document in search can be represented as matching degree between the two objects. Latent space models have been proven to be effective for the task, which are often trained with click-through data. One…

Information Retrieval · Computer Science 2016-04-22 Shuxin Wang , Xin Jiang , Hang Li , Jun Xu , Bin Wang