Estimation and Quantization of Expected Persistence Diagrams

11 May 2021

Papers citing "Estimation and Quantization of Expected Persistence Diagrams"

19 / 19 papers shown

Title
A short proof on the rate of convergence of the empirical measure for the Wasserstein distance Vincent Divol 37 6 0 20 Jan 2021
Optimal quantization of the mean measure and applications to statistical learning Frédéric Chazal Clément Levrard Martin Royer 47 5 0 04 Feb 2020
Nonembeddability of Persistence Diagrams with $p>2$ Wasserstein Metric Alexander Wagner MDE 49 21 0 30 Oct 2019
Progressive Wasserstein Barycenters of Persistence Diagrams Jules Vidal J. Budin Julien Tierny 46 40 0 10 Jul 2019
Embeddings of Persistence Diagrams into Hilbert Spaces Peter Bubenik Alexander Wagner 113 40 0 11 May 2019
PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures Mathieu Carrière Frédéric Chazal Yuichi Ike Théo Lacombe Martin Royer Yuhei Umeda 41 179 0 20 Apr 2019
Persistence Bag-of-Words for Topological Data Analysis Bartosz Zieliñski Michal Lipinski M. Juda Matthias Zeppelzauer Paweł Dłotko 48 22 0 21 Dec 2018
Large Scale computation of Means and Clusters for Persistence Diagrams using Optimal Transport Théo Lacombe Marco Cuturi S. Oudot 59 71 0 22 May 2018
Convergence and Concentration of Empirical Measures under Wasserstein Distance in Unbounded Functional Spaces Jing Lei 43 120 0 27 Apr 2018
Persistence Codebooks for Topological Data Analysis Bartosz Zieliñski Michal Lipinski M. Juda Matthias Zeppelzauer Paweł Dłotko 40 28 0 13 Feb 2018
Quantization/clustering: when and why does k-means work? Clément Levrard MQ 45 20 0 11 Jan 2018
Sliced Wasserstein Kernel for Persistence Diagrams Mathieu Carrière Marco Cuturi S. Oudot 56 237 0 11 Jun 2017
Persistence Images: A Stable Vector Representation of Persistent Homology Henry Adams Sofya Chepushtanova Tegan H. Emerson Eric M. Hanson Michael Kirby Francis C. Motta R. Neville C. Peterson Patrick D. Shipman Lori Ziegelmeier 74 679 0 22 Jul 2015
A Stable Multi-Scale Kernel for Topological Machine Learning Jan Reininghaus Stefan Huber Ulrich Bauer Roland Kwitt 60 346 0 21 Dec 2014
Nonasymptotic bounds for vector quantization in Hilbert spaces Clément Levrard 58 36 0 26 May 2014
On the rate of convergence in Wasserstein distance of the empirical measure N. Fournier Arnaud Guillin 179 1,142 0 07 Dec 2013
Fast Computation of Wasserstein Barycenters Marco Cuturi Arnaud Doucet OT 92 740 0 16 Oct 2013
Statistical topological data analysis using persistence landscapes Peter Bubenik 146 857 0 27 Jul 2012
Fréchet Means for Distributions of Persistence diagrams Katharine Turner Yuriy Mileyko S. Mukherjee J. Harer 84 262 0 13 Jun 2012