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• W1680861744 abstract "<!-- *** Custom HTML *** --> We discuss and review recent developments in the area of applied algebraic topology, such as persistent homology and barcodes. In particular, we discuss how these are related to understanding more about manifold learning from random point cloud data, the algebraic structure of simplicial complexes determined by random vertices and, in most detail, the algebraic topology of the excursion sets of random fields." @default.
• W1680861744 created "2016-06-24" @default.
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• W1680861744 date "2010-01-01" @default.
• W1680861744 modified "2023-10-16" @default.
• W1680861744 title "Persistent homology for random fields and complexes" @default.
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• W1680861744 doi "https://doi.org/10.1214/10-imscoll609" @default.
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