93 citations · 294 across the 27 of their papers we have counts for
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math.ST2018
Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with application
Gabriel Chandler, Wolfgang Polonik
A method for extracting multiscale geometric features from a data cloud is proposed and analyzed. The basic idea is to map each pair of data points into a real-valued feature funct…
math.PR2018★ 20 cited
On the choice of weight functions for linear representations of persistence diagrams
Vincent Divol, Wolfgang Polonik
Persistence diagrams are efficient descriptors of the topology of a point cloud. As they do not naturally belong to a Hilbert space, standard statistical methods cannot be directly…