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arXiv · 1601.03107

Generalized Persistence Diagrams

Amit Patel
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Abstract

We generalize the persistence diagram of Cohen-Steiner, Edelsbrunner, and Harer to the setting of constructible persistence modules valued in a symmetric monoidal category. We call this the type A persistence diagram of a persistence module. If the category is also abelian, then we define a second type B persistence diagram. In addition, we show that both diagrams are stable to all sufficiently small perturbations of the module.

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Amit Patel. 2016-01-13. Generalized Persistence Diagrams. https://doi.org/10.1007/s41468-018-0012-6

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