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math.AT2024★ 1 cited
Graphcode: Learning from multiparameter persistent homology using graph neural networks
Michael Kerber, Florian Russold
We introduce graphcodes, a novel multi-scale summary of the topological properties of a dataset that is based on the well-established theory of persistent homology. Graphcodes hand…
math.AT2024
Efficient Algorithms for Complexes of Persistence Modules with Applications
Tamal K. Dey, Florian Russold, Shreyas N. Samaga
We extend the persistence algorithm, viewed as an algorithm computing the homology of a complex of free persistence or graded modules, to complexes of modules that are not free. We…