Computing multidimensional persistence

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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 persistence. © 2009 Springer-Verlag Berlin Heidelberg.

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Carlsson, G., Singh, G., & Zomorodian, A. (2009). Computing multidimensional persistence. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5878 LNCS, pp. 730–739). https://doi.org/10.1007/978-3-642-10631-6_74

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