Persistence paths and signature features in topological data analysis

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Persistence paths and signature features in topological data analysis

1 June 2018

Harald Oberhauser

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Papers citing "Persistence paths and signature features in topological data analysis"

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Title
A Vectorization Method Induced By Maximal Margin Classification For Persistent Diagrams An Wu Yu Pan Fuqi Zhou Jinghui Yan Chuanlu Liu 38 0 0 31 Jul 2024
Euler Characteristic Curves and Profiles: a stable shape invariant for big data problems Paweł Dłotko Davide Gurnari 44 9 0 03 Dec 2022
2-d signature of images and texture classification Shenmin Zhang Guang Lin S. Tindel 83 5 0 10 May 2022
Feature Engineering with Regularity Structures I. Chevyrev A. Gerasimovičs H. Weber 157 11 0 12 Aug 2021
Evaluation Metrics for Graph Generative Models: Problems, Pitfalls, and Practical Solutions Leslie O’Bray Max Horn Bastian Rieck Karsten Borgwardt 112 41 0 02 Jun 2021
Path Signatures on Lie Groups Darrick Lee Robert Ghrist 71 8 0 02 Jul 2020
Persistence B-Spline Grids: Stable Vector Representation of Persistence Diagrams Based on Data Fitting Zhetong Dong Hongwei Lin Chi Zhou 51 5 0 17 Sep 2019
A persistent homology approach to heart rate variability analysis with an application to sleep-wake classification Yu-Min Chung Chuan-Shen Hu Y. Lo Hau‐Tieng Wu 41 51 0 09 Aug 2019
Bayesian Learning from Sequential Data using Gaussian Processes with Signature Covariances Csaba Tóth Harald Oberhauser 48 9 0 19 Jun 2019
Signatures in Shape Analysis: an Efficient Approach to Motion Identification E. Celledoni Pål Erik Lystad Nikolas Tapia 30 4 0 14 Jun 2019
Persistence Curves: A canonical framework for summarizing persistence diagrams Yu-Min Chung A. Lawson 43 74 0 16 Apr 2019
Approximating Continuous Functions on Persistence Diagrams Using Template Functions Jose A. Perea E. Munch Firas A. Khasawneh 29 27 0 19 Feb 2019
Signature moments to characterize laws of stochastic processes I. Chevyrev Harald Oberhauser 403 112 0 25 Oct 2018
The persistence landscape and some of its properties Peter Bubenik 46 63 0 11 Oct 2018