Mathematics – Probability
Scientific paper
2010-03-04
Mathematics
Probability
Scientific paper
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.
Adler Robert J.
Bobrowski Omer
Borman Matthew S.
Subag Eliran
Weinberger Shmuel
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