555 citations · 2.9k across the 55 of their papers we have counts for
5 papers · 1 filter
Flow Smoothing and Denoising: Graph Signal Processing in the Edge-Space
Michael T. Schaub, Santiago Segarra
This paper focuses on devising graph signal processing tools for the treatment of data defined on the edges of a graph. We first show that conventional tools from graph signal proc…
Random Walks on Simplicial Complexes and the normalized Hodge 1-Laplacian
Michael T. Schaub, Austin R. Benson, Paul Horn +2
Focusing on coupling between edges, we generalize the relationship between the normalized graph Laplacian and random walks on graphs by devising an appropriate normalization for th…
Structured networks and coarse-grained descriptions: a dynamical perspective
Michael T. Schaub, Jean-Charles Delvenne, Renaud Lambiotte +1
This chapter discusses the interplay between structure and dynamics in complex networks. Given a particular network with an endowed dynamics, our goal is to find partitions aligned…
Multiscale dynamical embeddings of complex networks
Michael T. Schaub, Jean-Charles Delvenne, Renaud Lambiotte +1
Complex systems and relational data are often abstracted as dynamical processes on networks. To understand, predict and control their behavior, a crucial step is to extract reduced…
Simplicial Closure and higher-order link prediction
Austin R. Benson, Rediet Abebe, Michael T. Schaub +2
Networks provide a powerful formalism for modeling complex systems by using a model of pairwise interactions. But much of the structure within these systems involves interactions t…