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A Random Persistence Diagram Generator. (arXiv:2104.07737v3 [stat.ML] UPDATED)
July 4, 2022, 1:11 a.m. | Theodore Papamarkou, Farzana Nasrin, Austin Lawson, Na Gong, Orlando Rios, Vasileios Maroulas
cs.LG updates on arXiv.org arxiv.org
Topological data analysis (TDA) studies the shape patterns of data.
Persistent homology is a widely used method in TDA that summarizes homological
features of data at multiple scales and stores them in persistence diagrams
(PDs). In this paper, we propose a random persistence diagram generator (RPDG)
method that generates a sequence of random PDs from the ones produced by the
data. RPDG is underpinned by a model based on pairwise interacting point
processes, and a reversible jump Markov chain Monte …
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