410 citations · 4.5k across the 91 of their papers we have counts for
4 papers · 2 filters
Reconstruction of Graph Signals through Percolation from Seeding Nodes
Santiago Segarra, Antonio G. Marques, Geert Leus +1
New schemes to recover signals defined in the nodes of a graph are proposed. Our focus is on reconstructing bandlimited graph signals, which are signals that admit a sparse represe…
Persistent Homology Lower Bounds on High Order Network Distances
Weiyu Huang, Alejandro Ribeiro
High order networks are weighted hypergraphs col- lecting relationships between elements of tuples, not necessarily pairs. Valid metric distances between high order networks have b…
Metrics in the Space of High Order Networks
Weiyu Huang, Alejandro Ribeiro
This paper presents methods to compare high order networks, defined as weighted complete hypergraphs collecting relationship functions between elements of tuples. They can be consi…
Sampling of graph signals with successive local aggregations
Antonio G. Marques, Santiago Segarra, Geert Leus +1
A new scheme to sample signals defined in the nodes of a graph is proposed. The underlying assumption is that such signals admit a sparse representation in a frequency domain relat…