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Topological Data Analysis (TDA) is a rigorous framework that borrows techniques from geometric and algebraic topology, category theory, and combinatorics in order to study the "shape" of such complex high-dimensional data. Research in this…

Algebraic Topology · Mathematics 2022-04-15 R. W. R. Darling , John A. Emanuello , Emilie Purvine , Ahmad Ridley

We present DART, an open domain structured DAta Record to Text generation dataset with over 82k instances (DARTs). Data-to-Text annotations can be a costly process, especially when dealing with tables which are the major source of…

Topological Data Analysis is a recent and fast growing field providing a set of new topological and geometric tools to infer relevant features for possibly complex data. This paper is a brief introduction, through a few selected topics, to…

Statistics Theory · Mathematics 2021-02-26 Frédéric Chazal , Bertrand Michel

Topological data analysis (TDA) is a tool from data science and mathematics that is beginning to make waves in environmental science. In this work, we seek to provide an intuitive and understandable introduction to a tool from TDA that is…

Machine Learning · Computer Science 2025-07-15 Lander Ver Hoef , Henry Adams , Emily J. King , Imme Ebert-Uphoff

Data is the key to success for any Data-Driven Organization, and managing it is considered the most challenging task. Data Architecture (DA) focuses on describing, collecting, storing, processing, and analyzing the data to meet business…

Software Engineering · Computer Science 2023-07-28 Moamin Abughazala , Henry Muccini , Mohammad Sharaf

Industrial projects rely heavily on lengthy, complex specification documents, making tedious manual extraction of structured information a major bottleneck. This paper introduces an innovative approach to automate this process, leveraging…

Information Retrieval · Computer Science 2024-03-13 Degaga Wolde Feyisa , Haylemicheal Berihun , Amanuel Zewdu , Mahsa Najimoghadam , Marzieh Zare

The surge of data available on the Internet has driven the adoption of a wide range of computational methods for analyzing and extracting insights from large-scale data. Among these, Machine Learning (ML) has become a central paradigm,…

Computation and Language · Computer Science 2026-05-12 Adaku Uchendu , Thai Le

Topological Data Analysis (TDA) can broadly be described as a collection of data analysis methods that find structure in data. This includes: clustering, manifold estimation, nonlinear dimension reduction, mode estimation, ridge estimation…

Methodology · Statistics 2016-09-28 Larry Wasserman

Database modeling is a key activity towards the fulfillment of storage requirements. Despite the availability of several database modeling tools for developers, these often come with associated costs, setup complexities, usability…

Databases · Computer Science 2024-01-31 Nuno Laranjeiro , Alexandre Miguel Pinto

Topological data analysis (TDA) provides insight into data shape. The summaries obtained by these methods are principled global descriptions of multi-dimensional data whilst exhibiting stable properties such as robustness to deformation and…

Machine Learning · Computer Science 2024-03-18 Ali Zia , Abdelwahed Khamis , James Nichols , Zeeshan Hayder , Vivien Rolland , Lars Petersson

TOPCAT is a desktop application for interactive analysis of tabular data, especially source catalogues. Along with its command-line counterpart STILTS, it has been under more or less continuous development for the past 15 years and is now…

Instrumentation and Methods for Astrophysics · Physics 2017-11-07 Mark Taylor

This survey provides a comprehensive exploration of applications of Topological Data Analysis (TDA) within neural network analysis. Using TDA tools such as persistent homology and Mapper, we delve into the intricate structures and behaviors…

Machine Learning · Computer Science 2024-01-04 Rubén Ballester , Carles Casacuberta , Sergio Escalera

Topology at the undergraduate level is often a theoretical mathematics course, introducing concepts from point-set topology or possibly algebraic topology. However, the last two decades have seen an explosion of growth in applied topology…

History and Overview · Mathematics 2024-06-25 Lori Ziegelmeier

Topological Data Analysis (TDA) has emerged as a powerful framework for extracting robust, multiscale, and interpretable features from complex molecular data for artificial intelligence (AI) modeling and topological deep learning (TDL).…

Biomolecules · Quantitative Biology 2025-09-23 JunJie Wee , Jian Jiang

Topological Data Analysis (TDA) is a discipline that applies algebraic topology techniques to analyze complex, multi-dimensional data. Although it is a relatively new field, TDA has been widely and successfully applied across various…

Machine Learning · Computer Science 2024-07-29 Martin Uray , Barbara Giunti , Michael Kerber , Stefan Huber

A primary hypothesis that drives scientific and engineering studies is that data has structure. The dominant paradigms for describing such structure are statistics (e.g., moments, correlation functions) and signal processing (e.g.,…

Algebraic Topology · Mathematics 2020-11-11 Alexander D. Smith , Pawel Dlotko , Victor M. Zavala

Topological Data Analysis (TDA) is the collection of mathematical tools that capture the structure of shapes in data. Despite computational topology and computational geometry, the utilization of TDA in time series and signal processing is…

Information Retrieval · Computer Science 2018-10-23 Shafie Gholizadeh , Wlodek Zadrozny

Rapid growth of documents, web pages, and other types of text content is a huge challenge for the modern content management systems. One of the problems in the areas of information storage and retrieval is the lacking of semantic data.…

Databases · Computer Science 2015-02-23 Mona Dadjoo , Esmaeil Kheirkhah

In the materials design domain, much of the data from materials calculations are stored in different heterogeneous databases. Materials databases usually have different data models. Therefore, the users have to face the challenges to find…

Databases · Computer Science 2020-11-06 Huanyu Li , Rickard Armiento , Patrick Lambrix

We present ToTTo, an open-domain English table-to-text dataset with over 120,000 training examples that proposes a controlled generation task: given a Wikipedia table and a set of highlighted table cells, produce a one-sentence description.…

Computation and Language · Computer Science 2020-10-07 Ankur P. Parikh , Xuezhi Wang , Sebastian Gehrmann , Manaal Faruqui , Bhuwan Dhingra , Diyi Yang , Dipanjan Das
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