A persistence landscapes toolbox for topological statistics

@article{Bubenik2017APL,
  title={A persistence landscapes toolbox for topological statistics},
  author={Peter Bubenik and Pawel Dlotko},
  journal={J. Symb. Comput.},
  year={2017},
  volume={78},
  pages={91-114}
}
Topological data analysis provides a multiscale description of the geometry and topology of quantitative data. The persistence landscape is a topological summary that can be easily combined with tools from statistics and machine learning. We give efficient algorithms for calculating persistence landscapes, their averages, and distances between such averages. We discuss an implementation of these algorithms and some related procedures. These are intended to facilitate the combination of… CONTINUE READING
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