Netsmf: Large-scale network embedding as sparse matrix factorization

J Qiu, Y Dong, H Ma, J Li, C Wang, K Wang… - The World Wide Web …, 2019 - dl.acm.org
We study the problem of large-scale network embedding, which aims to learn latent
representations for network mining applications. Previous research shows that 1) popular …

Differentially private recommender systems: Building privacy into the netflix prize contenders

F McSherry, I Mironov - Proceedings of the 15th ACM SIGKDD …, 2009 - dl.acm.org
We consider the problem of producing recommendations from collective user behavior while
simultaneously providing guarantees of privacy for these users. Specifically, we consider the …

Regularized spectral clustering under the degree-corrected stochastic blockmodel

T Qin, K Rohe - Advances in neural information processing …, 2013 - proceedings.neurips.cc
Spectral clustering is a fast and popular algorithm for finding clusters in networks. Recently,
Chaudhuri et al. and Amini et al. proposed variations on the algorithm that artificially inflate …

Minimax rates in network analysis: Graphon estimation, community detection and hypothesis testing

C Gao, Z Ma - 2021 - projecteuclid.org
This paper surveys some recent developments in fundamental limits and optimal algorithms
for network analysis. We focus on minimax optimal rates in three fundamental problems of …

Community detection in degree-corrected block models

C Gao, Z Ma, AY Zhang, HH Zhou - 2018 - projecteuclid.org
Community detection in degree-corrected block models Page 1 The Annals of Statistics 2018,
Vol. 46, No. 5, 2153–2185 https://doi.org/10.1214/17-AOS1615 © Institute of Mathematical …

Spectral clustering of graphs with general degrees in the extended planted partition model

K Chaudhuri, F Chung… - Conference on Learning …, 2012 - proceedings.mlr.press
In this paper, we examine a spectral clustering algorithm for similarity graphs drawn from a
simple random graph model, where nodes are allowed to have varying degrees, and we …

Impact of regularization on spectral clustering

A Joseph, B Yu - 2016 - projecteuclid.org
Impact of regularization on spectral clustering Page 1 The Annals of Statistics 2016, Vol. 44, No.
4, 1765–1791 DOI: 10.1214/16-AOS1447 © Institute of Mathematical Statistics, 2016 IMPACT …

Convexified modularity maximization for degree-corrected stochastic block models

Y Chen, X Li, J Xu - 2018 - projecteuclid.org
Convexified modularity maximization for degree-corrected stochastic block models Page 1
The Annals of Statistics 2018, Vol. 46, No. 4, 1573–1602 https://doi.org/10.1214/17-AOS1595 …

Graph partitioning via adaptive spectral techniques

A Coja-Oghlan - Combinatorics, Probability and Computing, 2010 - cambridge.org
In this paper we study the use of spectral techniques for graph partitioning. Let G=(V, E) be a
graph whose vertex set has a 'latent'partition V1,..., Vk. Moreover, consider a 'density …

Snap, small-world network analysis and partitioning: An open-source parallel graph framework for the exploration of large-scale networks

DA Bader, K Madduri - 2008 IEEE international symposium on …, 2008 - ieeexplore.ieee.org
We present SNAP (Small-world Network Analysis and Partitioning), an open-source graph
framework for exploratory study and partitioning of large-scale networks. To illustrate the …