Robust Statistics, Hypothesis Testing, and Confidence Intervals for Persistent Homology on Metric Measure Spaces-Reference-Cited by-同舟云学术

Robust Statistics, Hypothesis Testing, and Confidence Intervals for Persistent Homology on Metric Measure Spaces

Published:2014-05-15 Issue:4 Volume:14 Page:745-789
ISSN:1615-3375
Container-title:Foundations of Computational Mathematics
language:en
Short-container-title:Found Comput Math

Author:

Blumberg Andrew J.,Gal Itamar,Mandell Michael A.,Pancia Matthew

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/s10208-014-9201-4.pdf

Reference47 articles.

1. R. J. Adler, O. Bobrowski, and S. Weinberger. Crackle: The persistent homology of noise. arXiv:1301.1466 , 2013.

2. R. J. Adler, O. Bobrowski, M. S. Borman, E. Subag, and S. Weinberger. Persistent homology for random fields and complexes. Inst. Math. Stat. 6 (2010), 124–143.

3. O. Bobrowski and R. J. Adler. Distance functions, critical points, and topology for some random complexes. arXiv:1107.4775 , 2011.

4. A. J. Blumberg and M. A. Mandell. Resampling methods for estimating persistent homology (in preparation).

5. P. Bubenik. Statistical topology using persistence landscapes. arXiv:1207.6437 , 2012.

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