Semicontinuity of Persistence Diagrams
Year: 2016
Type: preprint
Abstract: We generalize the persistence diagram of Cohen-Steiner, Edelsbrunner, and Harer to the setting of constructible persistence modules valued in any symmetric monoidal category. This persistence diagram is stable to small perturbations of the module. If the category is also abelian, then we define a second weaker type of persistence diagram with the advantage of a stronger statement of stability.
Source: arXiv (Cornell University)
Author: Amit Patel
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2237158842