143 citations · 581 across the 51 of their papers we have counts for
4 papers · 1 filter
Excisive Hierarchical Clustering Methods for Network Data
Gunnar Carlsson, Facundo Mémoli, Alejandro Ribeiro +1
We introduce two practical properties of hierarchical clustering methods for (possibly asymmetric) network data: excisiveness and linear scale preservation. The latter enforces imp…
Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks
Gunnar Carlsson, Facundo Mémoli, Alejandro Ribeiro +1
This paper characterizes hierarchical clustering methods that abide by two previously introduced axioms -- thus, denominated admissible methods -- and proposes tractable algorithms…
Hierarchical Clustering of Asymmetric Networks
Gunnar Carlsson, Facundo Mémoli, Alejandro Ribeiro +1
This paper considers networks where relationships between nodes are represented by directed dissimilarities. The goal is to study methods that, based on the dissimilarity structure…
Parametrized Homology via Zigzag Persistence
Gunnar Carlsson, Vin de Silva, Sara Kalisnik +1
This paper develops the idea of homology for 1-parameter families of topological spaces. We express parametrized homology as a collection of real intervals with each corresponding…