Geodesic
On the Bootstrap for Persistence Diagrams and Landscapes
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 6, pp. 111-120

Voir la notice de l'article provenant de la source Math-Net.Ru

Persistent homology probes topological properties from point clouds and functions. By looking at multiple scales simultaneously, one can record the births and deaths of topological features as the scale varies. In this paper we use a statistical technique, the empirical bootstrap, to separate topological signal from topological noise. In particular, we derive confidence sets for persistence diagrams and confidence bands for persistence landscapes. The article is published in the author's wording.
Keywords: persistent homology, bootstrap, topological data analysis. 
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     author = {F. Chazal and B. T. Fasy and F. Lecci and A. Rinaldo and A. Singh and L. Wasserman},
     title = {On the {Bootstrap} for {Persistence} {Diagrams} and {Landscapes}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {111--120},
     publisher = {mathdoc},
     volume = {20},
     number = {6},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a8/}
}
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F. Chazal; B. T. Fasy; F. Lecci; A. Rinaldo; A. Singh; L. Wasserman. On the Bootstrap for Persistence Diagrams and Landscapes. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 6, pp. 111-120. http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a8/