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Persistent homology enables fast and computable comparison of topological objects. However, it is naturally limited to the analysis of topological spaces. We extend the theory of persistence, by guaranteeing robustness and computability to significan
Externí odkaz:
http://arxiv.org/abs/1901.08051
Graphs are a basic tool for the representation of modern data. The richness of the topological information contained in a graph goes far beyond its mere interpretation as a one-dimensional simplicial complex. We show how topological constructions can
Externí odkaz:
http://arxiv.org/abs/1707.09670
Akademický článek
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Publikováno v:
Mathematics, Vol 9, Iss 3079, p 3079 (2021)
Mathematics; Volume 9; Issue 23; Pages: 3079
Mathematics; Volume 9; Issue 23; Pages: 3079
Persistent homology enables fast and computable comparison of topological objects. However, it is naturally limited to the analysis of topological spaces. We extend the theory of persistence, by guaranteeing robustness and computability to significan