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Bachelor thesis . 2020
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Recolector de Ciencia Abierta, RECOLECTA
Bachelor thesis . 2020
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Bachelor thesis . 2020
License: CC BY NC ND
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Homology and persistent homology

descriptionPublicationkeyboard_double_arrow_right Bachelor thesis 01 Jan 2020
Authors: Nobbe Fisas, Fritz Pere;

handle: 2445/165324

Homology and persistent homology

Abstract

[en] Extracting information from data sets that are high-dimensional, incomplete and noisy is generally challenging. The aim of this work is to explain a homology theory for data sets, called Persistent Homology, and the topology and algebra behind it. Moreover, we will show different ways to represent it and finally computing some examples with the help of the GUDHI software for Python.

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Francisco Belchí Guillamón

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Keywords

Bachelor's thesis, Multivariate analysis, Multivariate analysi, Bachelor's theses, Homologia, Anàlisi multivariable, Python (Llenguatge de programació), Treballs de fi de grau, Topologia algebraica, Algebraic topology, Python (Computer program language), Homology

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