Persistence Barcodes Versus Kolmogorov Signatures: Detecting Modes of One-Dimensional Signals-Reference-Cited by-同舟云学术

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Persistence Barcodes Versus Kolmogorov Signatures: Detecting Modes of One-Dimensional Signals

Published:2015-08-19 Issue:1 Volume:17 Page:1-33
ISSN:1615-3375
Container-title:Foundations of Computational Mathematics
language:en
Short-container-title:Found Comput Math

Author:

Bauer Ulrich,Munk Axel,Sieling Hannes,Wardetzky Max

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10208-015-9281-9.pdf

Reference32 articles.

1. Herbert Edelsbrunner and John L. Harer, Computational topology: An introduction, AMS, 2010.

2. Herbert Edelsbrunner, David Letscher, and Afra Zomorodian, Topological persistence and simplification, Discrete and Computational Geometry 28 (2002), no. 4, 511–533.

3. David Cohen-Steiner, Herbert Edelsbrunner, and John Harer, Stability of persistence diagrams, Discrete and Computational Geometry 37 (2007), no. 1, 103–120.

4. Ulrich Bauer, Carsten Lange, and Max Wardetzky, Optimal topological simplification of discrete functions on surfaces, Discrete & Computational Geometry 47 (2012), no. 2, 347–377.

5. Galen R. Shorack and Jon A. Wellner, Empirical processes with applications to statistics, Classics in Applied Mathematics, vol. 59, Siam, 2009.

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2. Boundedness and Unboundedness in Total Variation Regularization;Applied Mathematics & Optimization;2023-06-27

3. Topological data analysis for true step detection in periodic piecewise constant signals;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2018-10

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