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Persistence diagrams (PDs) play a key role in topological data analysis (TDA), in which they are routinely used to describe topological properties of complicated shapes.
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Herbert Edelsbrunner and John Harer · 2010
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Frédéric Chazal, Vin de Silva, and Steve Oudot · 2013
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Roland Kwitt, Stefan Huber, Marc Niethammer, Weili Lin, and Ulrich Bauer · 2015
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Steve Oudot · 2015
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Principal Component Analysis of Persistent Homology Rank Functions with case studies of Spatial Point Patterns, Sphere Packing and Colloids
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Persistence Images: A Stable Vector Representation of Persistent Homology
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Kernel method for persistence diagrams via kernel embedding and weight factor
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