201 citations · 236 across the 12 of their papers we have counts for
17 papers
Explicit Bounds on the Entropy of Piecewise Hölder Graphon Models
Connor Loehde-Woolard, François G. Meyer
We study the entropy of random graphs generated by piecewise Hölder continuous graphons. We first present a result on the rate of convergence of the normalized entropy as the size…
When does the mean network capture the topology of a sample of networks?
François G Meyer
The notion of Fréchet mean (also known as "barycenter") network is the workhorse of most machine learning algorithms that require the estimation of a "location" parameter to analys…
Sharp Threshold for the Frechet Mean (or Median) of Inhomogeneous Erdos-Renyi Random Graphs
Francois G. Meyer
We address the following foundational question: what is the population, and sample, Frechet mean (or median) graph of an ensemble of inhomogeneous Erdos-Renyi random graphs? We pro…
Metrics for Graph Comparison: A Practitioner's Guide
Peter Wills, Francois G. Meyer
Comparison of graph structure is a ubiquitous task in data analysis and machine learning, with diverse applications in fields such as neuroscience, cyber security, social network a…
Detecting Topological Changes in Dynamic Community Networks
Peter Wills, Francois G. Meyer
The study of time-varying (dynamic) networks (graphs) is of fundamental importance for computer network analytics. Several methods have been proposed to detect the effect of signif…
Decoding Epileptogenesis in a Reduced State Space
François G. Meyer, Alexander M. Benison, Zachariah Smith +1
We describe here the recent results of a multidisciplinary effort to design a biomarker that can actively and continuously decode the progressive changes in neuronal organization l…