Summary: IMS Collections
Volume Title
Vol. 0 (0000) 1­6
c Institute of Mathematical Statistics, 0000
arXiv: math.PR/0000000
Persistent Homology for Random Fields
and Complexes
Robert J. Adler,
Omer Bobrowski,
Matthew S. Borman
Eliran
Subag,
and Shmuel Weinberger,
Electrical Engineering, Technion ­ Israel Institute of Technology
Department of Mathematics, University of Chicago
Abstract: 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

Source: Adler, Robert J. - Faculty of Industrial Engineering and Management, Technion, Israel Institute of Technology

Collections: Mathematics; Engineering