Topological analysis of data

Abstract Propelled by a fast evolving landscape of techniques and datasets, data science is growing rapidly. Against this background, topological data analysis (TDA) has carved itself a niche for the analysis of datasets that present complex interactions and rich structures. Its distinctive feature,...

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Bibliographic Details
Main Authors: Alice Patania, Francesco Vaccarino, Giovanni Petri
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:EPJ Data Science
Subjects:
Online Access:http://link.springer.com/article/10.1140/epjds/s13688-017-0104-x
Description
Summary:Abstract Propelled by a fast evolving landscape of techniques and datasets, data science is growing rapidly. Against this background, topological data analysis (TDA) has carved itself a niche for the analysis of datasets that present complex interactions and rich structures. Its distinctive feature, topology, allows TDA to detect, quantify and compare the mesoscopic structures of data, while also providing a language able to encode interactions beyond networks. Here we briefly present the TDA paradigm and some applications, in order to highlight its relevance to the data science community.
ISSN:2193-1127