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Descripción

The natural pseudo-distance of spaces endowed with filtering functions is precious for shape classification and retrieval; its optimal estimate coming from persistence diagrams is the bottleneck distance, which unfortunately suffers from combinatorial explosion. A possible algebraic representation of persistence diagrams is offered by complex polynomials; since far polynomials represent far persistence diagrams, a fast comparison of the coefficient vectors can reduce the size of the database to be classified by the bottleneck distance. This article explores experimentally three transformations from diagrams to polynomials and three distances between the complex vectors of coefficients.

Pertenece a

AMS Acta  

Autor(es)

Di Fabio, Barbara -  Ferri, Massimo - 

Id.: 61334571

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras claveMAT/03 Geometria - 

Tipo de recurso: Preprint  -  PeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://amsacta.unibo.it/4233/

Fecha de contribución: 29-oct-2015

Contacto:

Localización:
* Di Fabio, Barbara ; Ferri, Massimo (2015) Comparing persistence diagrams through complex vectors. [Preprint]

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