Now showing items 1-12 of 12

    • Article
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      A new entropy based summary function for topological data analysis 

      Atienza Martínez, María Nieves; González Díaz, Rocío; Soriano Trigueros, Manuel (Elsevier, 2018)
      Topological data analysis (TDA) aims to obtain useful information from data sets using topological concepts. In particular, ...
    • Article
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      A new topological entropy-based approach for measuring similarities among piecewise linear functions 

      Rucco, Matteo; González Díaz, Rocío; Jiménez Rodríguez, María José; Atienza Martínez, María Nieves; Cristalli, Cristina; Concettoni, Enrico; Ferrante, Andrea; Merelli, Emanuela (Elsevier, 2017)
      In this paper we present a novel methodology based on a topological entropy, the so-called persistent entropy, for ...
    • Article
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      Balanced Islands in Two Colored Point Sets in the Plane 

      Aichholzer, Oswin; Atienza Martínez, María Nieves; Díaz Báñez, José Miguel; Fabila Monroy, Ruy; Flores Peñaloza, David; Pérez Lantero, Pablo; Vogtenhuber, Birgit; Urrutia, Jorge (Elsevier, 2018)
    • Presentation
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      Characterising epithelial tissues using persistent entropy 

      Atienza Martínez, María Nieves; Escudero Cuadrado, Luis María; Jiménez Rodríguez, María José; Soriano Trigueros, Manuel (Springer, 2019)
      In this paper, we apply persistent entropy, a novel topological statis- tic, for characterization of images of epithelial ...
    • Article
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      Cover contact graphs 

      Atienza Martínez, María Nieves; Castro Ochoa, Natalia de; Cortés Parejo, María del Carmen; Garrido Vizuete, María de los Angeles; Grima Ruiz, Clara Isabel; Hernández, Gregorio; Márquez Pérez, Alberto; Moreno González, Auxiliadora; Nöllenburg, Martin; Portillo Fernández, José Ramón; Reyes Colume, Pedro; Valenzuela Muñoz, Jesús; Villar Liñán, María Trinidad; Wolff, Alexander (2012)
      We study problems that arise in the context of covering certain geometric objects called seeds (e.g., points or disks) ...
    • Article
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      Cover Contact Graphs 

      Atienza Martínez, María Nieves; Castro Ochoa, Natalia de; Cortés Parejo, María del Carmen; Garrido Vizuete, María de los Angeles; Grima Ruiz, Clara Isabel; Hernández, Gregorio; Márquez Pérez, Alberto; Moreno, Auxiliadora; Nöllenburg, Martin; Portillo Fernández, José Ramón; Reyes Colume, Pedro; Valenzuela Muñoz, Jesús; Villar Liñán, María Trinidad; Wolff, Alexander (2007)
      We study problems that arise in the context of covering certain geometric objects (so-called seeds, e.g., points or disks) ...
    • Presentation
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      K-Factores en nubes bicromáticas 

      Grima Ruiz, Clara Isabel; Atienza Martínez, María Nieves; Cortés Parejo, María del Carmen; Garijo Royo, Delia; Valenzuela Muñoz, Jesús; Villar Liñán, María Trinidad (2007)
      Consideramos una colección de puntos bicromática y nos preguntamos cuántos puntos adicionales son necesarios considerar ...
    • PhD Thesis
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      Mixturas de distribuciones: Modelización de experiencias con asimetría en los datos 

      Atienza Martínez, María Nieves (2003-04-24)
      Una de las estrategias de la Estadística para describir y explicar una realidad compleja es la representación de la misma ...
    • Article
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      On the stability of persistent entropy and new summary functions for Topological Data Analysis 

      Atienza Martínez, María Nieves; González Díaz, Rocío; Soriano Trigueros, Manuel (Cornell University, 2018)
      Persistent entropy of persistence barcodes, which is based on the Shannon entropy, has been recently defined and successfully ...
    • Article
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      Persistent entropy for separating topological features from noise in vietoris-rips complexes 

      Atienza Martínez, María Nieves; González Díaz, Rocío; Rucco, Matteo (Springer, 2019)
      Persistent homology studies the evolution of k-dimensional holes along a nested sequence of simplicial complexes (called ...
    • Article
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      Persistent entropy: a scale-invariant topological statistic for analyzing cell arrangements 

      Atienza Martínez, María Nieves; Escudero Cuadrado, Luis María; Jiménez Rodríguez, María José; Soriano Trigueros, Manuel (Cornell University, 2019)
      In this work, we develop a method for detecting differences in the topological distribution of cells forming epithelial ...
    • Presentation
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      Separating Topological Noise from Features Using Persistent Entropy 

      Atienza Martínez, María Nieves; González Díaz, Rocío; Rucco, Matteo (Springer, 2016)
      Topology is the branch of mathematics that studies shapes and maps among them. From the algebraic definition of topology ...