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Persistence diagrams are two-dimensional plots that summarize the topological features of functions and are an important part of topological data analysis.
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Brittany Terese Fasy, Fabrizio Lecci, Alessandro Rinaldo, Larry Wasserman, Sivaraman Balakrishnan, Aarti Singh, et al., Confidence sets for persistence diagrams , The Annals of Statistics 42
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Katharine Turner, Yuriy Mileyko, Sayan Mukherjee, and John Harer, Fréchet means for distributions of persistence diagrams , Discrete & Computational Geometry 52
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2015
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Pratyush Pranav, Persistent holes in the universe a hierarchical topology of the cosmic mass distribution , Ph.D. thesis, University of Groningen, 2015
2015
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