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math.ST2013★ 19 cited
Optimal rates of convergence for persistence diagrams in Topological Data Analysis
Frédéric Chazal, Marc Glisse, Catherine Labruère +1
Computational topology has recently known an important development toward data analysis, giving birth to the field of topological data analysis. Topological persistence, or persist…
math.ST2013
Minimax rates of convergence for Wasserstein deconvolution with supersmooth errors in any dimension
Jérôme Dedecker, Bertrand Michel
The subject of this paper is the estimation of a probability measure on from data observed with an additive noise, under the Wasserstein metric of order (with $…