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cs.CG2023
Strong Collapse of Random Simplicial Complexes
Jean-Daniel Boissonnat, Kunal Dutta, Soumik Dutta +1
The \emph{strong collapse} of a simplicial complex, proposed by Barmak and Minian (\emph{Disc. Comp. Geom. 2012}), is a combinatorial collapse of a complex onto its sub-complex. Re…
cs.CG2023
Dimensionality Reduction for Persistent Homology with Gaussian Kernels
Jean-Daniel Boissonnat, Kunal Dutta
Computing persistent homology using Gaussian kernels is useful in the domains of topological data analysis and machine learning as shown by Phillips, Wang and Zheng [SoCG 2015]. Ho…