Geodesic
Addendum to "Rank-based persistence"
Theory and applications of categories, Tome 39 (2023), pp. 444-446

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 The Rank-based persistence framework and the generalization of topological persistence introduced in [1,4] yield overlapping applications. We discuss the similarities and differences between the two approaches from theoretical and applied standpoints.

Publié le :
Classification : 18E10, 18A35, 55N35, 68U05
Keywords: rank, persistence, categorification, regular category, abelian category, semisimple category, classification, group action, point cloud, poset, bottleneck, interleaving 
@article{TAC_2023_39_a13,
     author = {Mattia G. Bergomi and Pietro Vertechi},
     title = {Addendum to {"Rank-based} persistence"},
     journal = {Theory and applications of categories},
     pages = {444--446},
     publisher = {mathdoc},
     volume = {39},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2023_39_a13/}
}
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Mattia G. Bergomi; Pietro Vertechi. Addendum to "Rank-based persistence". Theory and applications of categories, Tome 39 (2023), pp. 444-446. http://geodesic.mathdoc.fr/item/TAC_2023_39_a13/