201 citations · 245 across the 10 of their papers we have counts for
5 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…
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…
Diffusion and Superposition Distances for Signals Supported on Networks
Santiago Segarra, Weiyu Huang, Alejandro Ribeiro
We introduce the diffusion and superposition distances as two metrics to compare signals supported in the nodes of a network. Both metrics consider the given vectors as initial tem…