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DOE OSTI · 1429696

The Computational Complexity of Multidimensional Persistence

Skryzalin, Jacek·Vongmasa, Pawin
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Abstract

We present findings on the computational complexity of computing multidimensional persistent homology. We first show that the worst-case computational complexity of multidimensional persistence is exponential. We then present an algorithm for computing multidimensional persistence which extends the algorithm given by Zomorodian and Carlsson for computing one-dimensional persistence. The computational complexity of our algorithm is polynomial in the size of the persistence module and exponential in the persistence dimension.

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Skryzalin, Jacek, Vongmasa, Pawin. 2017-11-01. The Computational Complexity of Multidimensional Persistence. https://www.osti.gov/biblio/1429696

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