Casacuberta, CarlesFerrà Marcús, AinaRoura i Cubí, Antonino2023-05-232023-05-232022-09-02https://hdl.handle.net/2445/198324Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Curs: 2021-2022. Director: Carles Casacuberta i Aina Ferrà Marcús[en] Topological Data analysis has been extensively used to solve point cloud classification problems; however, how to use TDA in classification of points in $\mathbb{R}^2$ has not been studied yet. In this work we use recently developed tools on the study of random persistence diagrams in order to deal with the classification of points in $\mathbb{R}^d$.48 p.application/pdfcatcc by-nc-nd (c) Antonino Roura i Cubí, 2022http://creativecommons.org/licenses/by-nc-nd/3.0/es/HomologiaGeometria computacionalTreballs de fi de màsterHomologyComputational geometryMaster's thesesinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccess