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We present an unsupervised approach for discovering semantic representations of mathematical equations. Equations are challenging to analyze because each is unique, or nearly unique. Our method, which we call equation embeddings, finds good…

Machine Learning · Statistics 2018-03-28 Kriste Krstovski , David M. Blei

The World Wide Web is a vast and continuously changing source of information where searching is a frequent, and sometimes critical, user task. Searching is not always the user's primary goal but an ancillary task that is performed to find…

Human-Computer Interaction · Computer Science 2019-05-27 Gabriela Bosetti , Sergio Firmenich , Alejandro Fernandez , Marco Winckler , Gustavo Rossi

The ADS Abstract and Article Services provide access to the astronomical literature through the World Wide Web (WWW). The forms based user interface provides access to sophisticated searching capabilities that allow our users to find…

Astrophysics · Physics 2009-10-31 G. Eichhorn , M. J. Kurtz , A. Accomazzi , C. S. Grant , S. S. Murray

With the recent explosion in the size and complexity of source codebases and software projects, the need for efficient source code search engines has increased dramatically. Unfortunately, existing information retrieval-based methods fail…

Software Engineering · Computer Science 2021-09-27 Muhammad Khalifa

The large volumes of structured data currently available, from Web tables to open-data portals and enterprise data, open up new opportunities for progress in answering many important scientific, societal, and business questions. However,…

Information Retrieval · Computer Science 2021-09-01 Sonia Castelo , Rémi Rampin , Aécio Santos , Aline Bessa , Fernando Chirigati , Juliana Freire

An introduction to applied mathematics written for students in engineering and science. Focus is on a rigorous presentation that also builds understanding by discussion, analogy, and examples. Discussion of concepts involved in modeling…

History and Overview · Mathematics 2023-05-10 Brian D Wood

With the rise of voice assistants and an increase in mobile search usage, natural language has become an important query language. So far, most of the current systems are not able to process these queries because of the vagueness and…

Human-Computer Interaction · Computer Science 2020-08-06 Andrea Papenmeier , Alfred Sliwa , Dagmar Kern , Daniel Hienert , Ahmet Aker , Norbert Fuhr

Machine learning is increasingly transforming various scientific fields, enabled by advancements in computational power and access to large data sets from experiments and simulations. As artificial intelligence (AI) continues to grow in…

Computational Physics · Physics 2025-04-01 Sebastian Johann Wetzel , Seungwoong Ha , Raban Iten , Miriam Klopotek , Ziming Liu

Retrieving mathematical knowledge is a central task in both human-driven research, such as determining whether a result already exists, finding related results, and identifying historical origins, and in emerging AI systems for mathematics,…

Information Retrieval · Computer Science 2026-04-21 Haocheng Ju , Leheng Chen , Peihao Wu , Bryan Dai , Bin Dong

The interactive theorem prover Lean enables the verification of formal mathematical proofs and is backed by an expanding community. Central to this ecosystem is its mathematical library, mathlib4, which lays the groundwork for the…

Information Retrieval · Computer Science 2025-02-05 Guoxiong Gao , Haocheng Ju , Jiedong Jiang , Zihan Qin , Bin Dong

Dynamic web applications such as mashups need efficient access to web data that is only accessible via entity search engines (e.g. product or publication search engines). However, most current mashup systems and applications only support…

Databases · Computer Science 2010-03-24 Stefan Endrullis , Andreas Thor , Erhard Rahm

Finding the best mathematical equation to deal with the different challenges found in complex scenarios requires a thorough understanding of the scenario and a trial and error process carried out by experts. In recent years, most…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Caroline Pacheco do Espírito Silva , José A. M. Felippe De Souza , Antoine Vacavant , Thierry Bouwmans , Andrews Cordolino Sobral

In this vision paper, we propose a shift in perspective for improving the effectiveness of similarity search. Rather than focusing solely on enhancing the data quality, particularly machine learning-generated embeddings, we advocate for a…

Databases · Computer Science 2023-08-03 Renzhi Wu , Jingfan Meng , Jie Jeff Xu , Huayi Wang , Kexin Rong

Recent advances in computing have changed not only the nature of mathematical computation, but mathematical proof and inquiry itself. While artificial intelligence and formalized mathematics have been the major topics of this conversation,…

Databases · Computer Science 2024-04-12 Steven Clontz

The WorldWideWeb (WWW) is a huge conservatory of web pages. Search Engines are key applications that fetch web pages for the user query. In the current generation web architecture, search engines treat keywords provided by the user as…

Information Retrieval · Computer Science 2014-03-03 Leena Giri G , Srikanth P L , S H Manjula , K R Venugopal , L M Patnaik

Search engines leverage knowledge to improve information access. In order to effectively leverage knowledge, search engines should account for context, i.e., information about the user and query. In this thesis, we aim to support search…

Information Retrieval · Computer Science 2021-02-16 Nikos Voskarides

The immense amounts of source code provide ample challenges and opportunities during software development. To handle the size of code bases, developers commonly search for code, e.g., when trying to find where a particular feature is…

Software Engineering · Computer Science 2022-10-06 Luca Di Grazia , Michael Pradel

Tables on the Web contain a vast amount of knowledge in a structured form. To tap into this valuable resource, we address the problem of table retrieval: answering an information need with a ranked list of tables. We investigate this…

Information Retrieval · Computer Science 2021-05-14 Shuo Zhang , Krisztian Balog

A quantum algorithm for general combinatorial search that uses the underlying structure of the search space to increase the probability of finding a solution is presented. This algorithm shows how coherent quantum systems can be matched to…

Quantum Physics · Physics 2009-10-30 Tad Hogg

This paper presents an approach to enhance search engines with information about word senses available in WordNet. The approach exploits information about the conceptual relations within the lexical-semantic net. In the wrapper for search…

Artificial Intelligence · Computer Science 2007-05-23 Peter M. Kruse , Andre Naujoks , Dietmar Roesner , Manuela Kunze