Exponential-Family Models of Random Graphs

M Schweinberger, PN Krivitsky, CT Butts, JR Stewart - Statistical Science, 2020 - JSTOR
Exponential-family Random Graph Models (ERGMs) constitute a large statistical framework
for modeling dense and sparse random graphs with short-or long-tailed degree distributions …

The graph pencil method: mapping subgraph densities to stochastic block models

L Gunderson, G Bravo-Hermsdorff… - Advances in Neural …, 2024 - proceedings.neurips.cc
In this work, we describe a method that determines an exact map from a finite set of
subgraph densities to the parameters of a stochastic block model (SBM) matching these …

SteinGen: Generating Fidelitous and Diverse Graph Samples

G Reinert, W Xu - arXiv preprint arXiv:2403.18578, 2024 - arxiv.org
Generating graphs that preserve characteristic structures while promoting sample diversity
can be challenging, especially when the number of graph observations is small. Here, we …

An introduction to statistical models for networks

V Kuskova, S Wasserman - The Oxford handbook of social …, 2020 - books.google.com
We begin with a graph (or a directed graph), a single set of nodes N, and a set of lines or
arcs L. It is common to use this mathematical concept to represent a network as well as the …

Block-approximated exponential random graphs

F Adriaens, A Mara, J Lijffijt… - 2020 IEEE 7th …, 2020 - ieeexplore.ieee.org
An important challenge in the field of exponential random graphs (ERGs) is the fitting of non-
trivial ERGs on large graphs. By utilizing fast matrix block-approximation techniques, we …

A semiparametric Bayesian approach to epidemics, with application to the spread of the coronavirus MERS in South Korea in 2015

M Schweinberger, RP Bomiriya… - Journal of nonparametric …, 2022 - Taylor & Francis
We consider incomplete observations of stochastic processes governing the spread of
infectious diseases through finite populations by way of contact. We propose a flexible …

[图书][B] Novel Approaches to Degeneracy in Network Models

T Blackburn - 2021 - search.proquest.com
As technology advances, the manner in which humans communicate and collaborate
becomes increasingly intricate and the study of complex networks becomes ever important …

The Graph Pencil Method: Mapping Subgraph Densities to Stochastic Block Models

G Bravo-Hermsdorff, P Orbanz - 2023 - discovery.ucl.ac.uk
In this work, we describe a method that determines an exact map from a finite set of
subgraph densities to the parameters of a stochastic block model (SBM) matching these …

The Pairwise Prony Algorithm: Efficient Inference of Stochastic Block Models with Prescribed Subgraph Densities

LM Gunderson, G Bravo-Hermsdorff… - ICML 2023 Workshop on … - openreview.net
We present an elegant and flexible algorithm that provides the parameters of the simplest
stochastic block model (SBM) for a given set of prescribed subgraph densities, from which …

[引用][C] Idiosyncratic correlations and non-Gaussian distributions in network data