12 citations · 15 across the 6 of their papers we have counts for
6 papers
Spectral properties of random graphs with fixed equitable partition
Matthew B. Crawford, David J. Marchette, William Maxwell +1
We define a graph to be -regular if it contains an equitable partition given by a matrix . These graphs are generalizations of both regular and bipartite, biregular graphs. A…
Simultaneous Dimensionality and Complexity Model Selection for Spectral Graph Clustering
Congyuan Yang, Carey E. Priebe, Youngser Park +1
Our problem of interest is to cluster vertices of a graph by identifying underlying community structure. Among various vertex clustering approaches, spectral clustering is one of t…
A central limit theorem for scaled eigenvectors of random dot product graphs
Avanti Athreya, Vince Lyzinski, David J. Marchette +3
We prove a central limit theorem for the components of the largest eigenvectors of the adjacency matrix of a finite-dimensional random dot product graph whose true latent positions…
Splitting cycles in graphs
David Johannsen, David Marchette
The goal of this paper is to describe a sufficient condition on cycles in graphs for which the edge ideal is splittable. We give an explicit splitting function for such ideals.
Manifold Matching: Joint Optimization of Fidelity and Commensurability
Carey E. Priebe, David J. Marchette, Zhiliang Ma +1
Fusion and inference from multiple and massive disparate data sources - the requirement for our most challenging data analysis problems and the goal of our most ambitious statistic…
A New Family of Random Graphs for Testing Spatial Segregation
E. Ceyhan, C. E. Priebe, D. J. Marchette
We discuss a graph-based approach for testing spatial point patterns. This approach falls under the category of data-random graphs, which have been introduced and used for statisti…