3 citations · 5 across the 4 of their papers we have counts for
5 papers
Path representations in multiparameter persistent homology
Xudong Sun, René Corbet, Carsten Marr
Multiparameter persistence module can capture more topological differences across data instances compared to using a single parameter, where the well-studied matching distance inve…
The Shift-Dimension of Multipersistence Modules
Wojciech Chachólski, René Corbet, Anna-Laura Sattelberger
We present the shift-dimension of multipersistence modules and investigate its algebraic properties. This gives rise to a new invariant of multigraded modules over the multivariate…
Computing the Multicover Bifiltration
René Corbet, Michael Kerber, Michael Lesnick +1
Given a finite set , let Cov denote the set of all points within distance to at least points of . Allowing and to vary, we obtain a…
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…
The Representation Theorem of Persistent Homology Revisited and Generalized
René Corbet, Michael Kerber
The Representation Theorem by Zomorodian and Carlsson has been the starting point of the study of persistent homology under the lens of algebraic representation theory. In this wor…