555 citations · 2.9k across the 55 of their papers we have counts for
6 papers · 1 filter
Learning the effective order of a hypergraph dynamical system
Leonie Neuhäuser, Michael Scholkemper, Francesco Tudisco +1
Dynamical systems on hypergraphs can display a rich set of behaviours not observable for systems with pairwise interactions. Given a distributed dynamical system with a putative hy…
An Optimization-based Approach To Node Role Discovery in Networks: Approximating Equitable Partitions
Michael Scholkemper, Michael T. Schaub
Similar to community detection, partitioning the nodes of a network according to their structural roles aims to identify fundamental building blocks of a network. The found partiti…
Signal Processing on Product Spaces
T. Mitchell Roddenberry, Vincent P. Grande, Florian Frantzen +2
We establish a framework for signal processing on product spaces of simplicial and cellular complexes. For simplicity, we focus on the product of two complexes representing time an…
Topological Point Cloud Clustering
Vincent P. Grande, Michael T. Schaub
We present Topological Point Cloud Clustering (TPCC), a new method to cluster points in an arbitrary point cloud based on their contribution to global topological features. TPCC sy…
PyGenStability: Multiscale community detection with generalized Markov Stability
Alexis Arnaudon, Juni Schindler, Robert L. Peach +4
We present PyGenStability, a general-use Python software package that provides a suite of analysis and visualisation tools for unsupervised multiscale community detection in graphs…
Dirac signal processing of higher-order topological signals
Lucille Calmon, Michael T. Schaub, Ginestra Bianconi
Higher-order networks can sustain topological signals which are variables associated not only to the nodes, but also to the links, to the triangles and in general to the higher dim…