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Computing Multidimensional Persistence

Published in arXiv (Cornell University) • Jul 14, 2009
NobleIDNI3P32W92R80S08
Authors:
Gunnar Carlsson
,
Satwinder Singh
,
Afra Zomorodian

Abstract

The theory of multidimensional persistence captures the topology of a multifiltration -- a multiparameter family of increasing spaces. Multifiltrations arise naturally in the topological analysis of scientific data. In this paper, we give a polynomial time algorithm for computing multidimensional pe...

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