555 citations · 2.9k across the 55 of their papers we have counts for
5 papers · 1 filter
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…
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…
Simplicial Convolutional Filters
Maosheng Yang, Elvin Isufi, Michael T. Schaub +1
We study linear filters for processing signals supported on abstract topological spaces modeled as simplicial complexes, which may be interpreted as generalizations of graphs that…
Hodgelets: Localized Spectral Representations of Flows on Simplicial Complexes
T. Mitchell Roddenberry, Florian Frantzen, Michael T. Schaub +1
We develop wavelet representations for edge-flows on simplicial complexes, using ideas rooted in combinatorial Hodge theory and spectral graph wavelets. We first show that the Hodg…
Signal processing on simplicial complexes
Michael T. Schaub, Jean-Baptiste Seby, Florian Frantzen +3
Higher-order networks have so far been considered primarily in the context of studying the structure of complex systems, i.e., the higher-order or multi-way relations connecting th…