[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics

F Battiston, G Cencetti, I Iacopini, V Latora, M Lucas… - Physics reports, 2020 - Elsevier
The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

Community detection and stochastic block models: recent developments

E Abbe - Journal of Machine Learning Research, 2018 - jmlr.org
The stochastic block model (SBM) is a random graph model with planted clusters. It is widely
employed as a canonical model to study clustering and community detection, and provides …

[图书][B] Statistical foundations of data science

J Fan, R Li, CH Zhang, H Zou - 2020 - taylorfrancis.com
Statistical Foundations of Data Science gives a thorough introduction to commonly used
statistical models, contemporary statistical machine learning techniques and algorithms …

Bayesian stochastic blockmodeling

TP Peixoto - Advances in network clustering and …, 2019 - Wiley Online Library
This chapter describes the basic variants of the stochastic blockmodel (SBM), and a
consistent Bayesian formulation that allows readers to infer them from data. The focus is on …

An econometric model of network formation with degree heterogeneity

BS Graham - Econometrica, 2017 - Wiley Online Library
I introduce a model of undirected dyadic link formation which allows for assortative matching
on observed agent characteristics (homophily) as well as unrestricted agent‐level …

Rate-optimal graphon estimation

C Gao, Y Lu, HH Zhou - 2015 - projecteuclid.org
Rate-optimal graphon estimation Page 1 The Annals of Statistics 2015, Vol. 43, No. 6, 2624–2652
DOI: 10.1214/15-AOS1354 © Institute of Mathematical Statistics, 2015 RATE-OPTIMAL …

Hypothesis testing for automated community detection in networks

PJ Bickel, P Sarkar - Journal of the Royal Statistical Society …, 2016 - academic.oup.com
Community detection in networks is a key exploratory tool with applications in a diverse set
of areas, ranging from finding communities in social and biological networks to identifying …

On semidefinite relaxations for the block model

AA Amini, E Levina - 2018 - projecteuclid.org
On semidefinite relaxations for the block model Page 1 The Annals of Statistics 2018, Vol. 46,
No. 1, 149–179 https://doi.org/10.1214/17-AOS1545 © Institute of Mathematical Statistics …

A clarified typology of core-periphery structure in networks

RJ Gallagher, JG Young, BF Welles - Science advances, 2021 - science.org
Core-periphery structure, the arrangement of a network into a dense core and sparse
periphery, is a versatile descriptor of various social, biological, and technological networks …

Estimating network edge probabilities by neighbourhood smoothing

Y Zhang, E Levina, J Zhu - Biometrika, 2017 - academic.oup.com
The estimation of probabilities of network edges from the observed adjacency matrix has
important applications to the prediction of missing links and to network denoising. It is …