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The ability to collect and analyze large amounts of data is a growing problem within the scientific community. The growing gap between data and users calls for innovative tools that address the challenges faced by big data volume, velocity…

Databases · Computer Science 2016-08-01 Vijay Gadepally , Jeremy Kepner

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) 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

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

We are living in an information era from Twitter to Fitocracy every episode of peoples life is converted to numbers. That abundance of data is also available in information technologies. From Stackoverflow to GitHub many big data sources…

Computers and Society · Computer Science 2017-03-29 Mahmut Ali Ozkuran

In cybersecurity it is often the case that malicious or anomalous activity can only be detected by combining many weak indicators of compromise, any one of which may not raise suspicion when taken alone. The path that such indicators take…

Cryptography and Security · Computer Science 2022-02-17 Thomas Davies

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

Consider observation data, comprised of n observation vectors with values on a set of attributes. This gives us n points in attribute space. Having data structured as a tree, implied by having our observations embedded in an ultrametric…

Information Retrieval · Computer Science 2012-02-17 Fionn Murtagh , Pedro Contreras

Recently, increasingly large amounts of data are generated from a variety of sources. Existing data processing technologies are not suitable to cope with the huge amounts of generated data. Yet, many research works focus on Big Data, a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-07 Wissem Inoubli , Sabeur Aridhi , Haithem Mezni , Mondher Maddouri , Engelbert Mephu Nguifo

The continuous increase of data generated provides enormous possibilities of both public and private companies. The management of this mass of data or big data will play a crucial role in the society of the future, as it finds applications…

Computers and Society · Computer Science 2015-01-15 Fatima El Jamiy , Abderrahmane Daif , Mohamed Azouazi , Abdelaziz Marzak

Topological Data Analysis (TDA) is a novel, and relatively new approach to analysing high-dimensional data sets. It does this by focussing on global properties like the shape and connectivity of the data giving it a significant advantage…

Instrumentation and Methods for Astrophysics · Physics 2019-04-26 Jeff Murugan , Duncan Robertson

The term, Big Data, has been authored to refer to the extensive heave of data that can't be managed by traditional data handling methods or techniques. The field of Big Data plays an indispensable role in various fields, such as…

Computers and Society · Computer Science 2017-10-12 Mashooque Ahmed Memon , Safeeullah Soomro , Awais Khan Jumani , Muneer Ahmed Kartio

Topological data analysis (TDA) has been widely used to make progress on a number of problems. However, it seems that TDA application in natural language processing (NLP) is at its infancy. In this paper we try to bridge the gap by arguing…

Algebraic Topology · Mathematics 2018-10-25 Tadas Temčinas

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

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

This research addresses a new tool for data analysis known as Topological Data Analysis TDA It underlies an area of Mathematics known as Combinatorial Algebra or more recently Algebraic Topology which through making strong use of…

Statistics Theory · Mathematics 2021-06-29 Daniel Trejo Medina , Karla Sarai Jimenez

Topological Data Analysis (TDA) has been praised by researchers for its ability to capture intricate shapes and structures within data. TDA is considered robust in handling noisy and high-dimensional datasets, and its interpretability is…

Machine Learning · Computer Science 2024-01-10 Funmilola Mary Taiwo , Umar Islambekov , Cuneyt Gurcan Akcora

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

Developing the capacity to effectively search for requisite datasets is an urgent requirement to assist data users in identifying relevant datasets considering the very limited available metadata. For this challenge, the utilization of…

Information Retrieval · Computer Science 2024-10-08 Teruaki Hayashi , Hiroki Sakaji , Jiayi Dai , Randy Goebel

Steve Jobs, one of the greatest visionaries of our time was quoted in 1996 saying "a lot of times, people do not know what they want until you show it to them" [38] indicating he advocated products to be developed based on human intuition…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 Kevin Taylor-Sakyi
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