410 citations · 4.5k across the 91 of their papers we have counts for
10 papers · 1 filter
Network Comparison: Embeddings and Interiors
Weiyu Huang, Alejandro Ribeiro
This paper presents methods to compare networks where relationships between pairs of nodes in a given network are defined. We define such network distance by searching for the opti…
Hierarchical Clustering Given Confidence Intervals of Metric Distances
Weiyu Huang, Alejandro Ribeiro
This paper considers metric spaces where distances between a pair of nodes are represented by distance intervals. The goal is to study methods for the determination of hierarchical…
Network Topology Inference from Spectral Templates
Santiago Segarra, Antonio G. Marques, Gonzalo Mateos +1
We address the problem of identifying a graph structure from the observation of signals defined on its nodes. Fundamentally, the unknown graph encodes direct relationships between…
Network Topology Identification from Spectral Templates
Santiago Segarra, Antonio G. Marques, Gonzalo Mateos +1
Network topology inference is a cornerstone problem in statistical analyses of complex systems. In this context, the fresh look advocated here permeates benefits from convex optimi…
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…