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Multiresolution topological simplification
[article]
2015
arXiv
pre-print
Persistent homology has been devised as a promising tool for the topological simplification of complex data. However, it is computationally intractable for large data sets. In this work, we introduce multiresolution persistent homology for tackling large data sets. Our basic idea is to match the resolution with the scale of interest so as to create a topological microscopy for the underlying data. We utilize flexibility-rigidity index (FRI) to access the topological connectivity of the data set
arXiv:1504.00033v1
fatcat:bfklfnb2bvdsrlpqaan7zvt23i