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http://hdl.handle.net/2445/165324| Title: | Homology and persistent homology |
| Author: | Nobbe Fisas, Fritz Pere |
| Director/Tutor: | Belchí Guillamón, Francisco |
| Keywords: | Topologia algebraica Treballs de fi de grau Homologia Anàlisi multivariable Python (Llenguatge de programació) Algebraic topology Bachelor's theses Homology Multivariate analysis Python (Computer program language) |
| Issue Date: | 19-Jan-2020 |
| 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. |
| Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Francisco Belchí Guillamón |
| URI: | http://hdl.handle.net/2445/165324 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 165324.pdf | Memòria | 1.79 MB | Adobe PDF | View/Open |
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