18 citations · 46 across the 10 of their papers we have counts for
3 papers · 1 filter
Chunk Reduction for Multi-Parameter Persistent Homology
Ulderico Fugacci, Michael Kerber
The extension of persistent homology to multi-parameter setups is an algorithmic challenge. Since most computation tasks scale badly with the size of the input complex, an importan…
Computing discrete Morse complexes from simplicial complexes
Ulderico Fugacci, Federico Iuricich, Leila De Floriani
We consider the problem of efficiently computing a discrete Morse complex on simplicial complexes of arbitrary dimension and very large size. Based on a common graph-based formalis…
A Kernel for Multi-Parameter Persistent Homology
René Corbet, Ulderico Fugacci, Michael Kerber +2
Topological data analysis and its main method, persistent homology, provide a toolkit for computing topological information of high-dimensional and noisy data sets. Kernels for one…