1.1k citations · 1.5k across the 17 of their papers we have counts for
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math.ST2014★ 107 cited
Robust Topological Inference: Distance To a Measure and Kernel Distance
Frédéric Chazal, Brittany T. Fasy, Fabrizio Lecci +3
Let P be a distribution with support S. The salient features of S can be quantified with persistent homology, which summarizes topological features of the sublevel sets of the dist…
math.ST2014★ 14 cited
Improved rates for Wasserstein deconvolution with ordinary smooth error in dimension one
Jérôme Dedecker, Aurélie Fischer, Bertrand Michel
This paper deals with the estimation of a probability measure on the real line from data observed with an additive noise. We are interested in rates of convergence for the Wasserst…