Stochastic block model: Difference between revisions

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title = Asymptotic analysis of the stochastic block model for modular networks and its algorithmic applications |
arxiv = 1109.3041 |
date = September 2011 | doi=10.1103/PhysRevE.84.066106 | volume=84 | journal=Physical Review E| issue = 6 |bibcode = 2011PhRvE..84f6106D | pmid=22304154 | page=066106| s2cid = 15788070 }}</ref>
<ref name="abh14">{{cite arXiv| last1 = Abbe| first1 = Emmanuel| last2 = Bandeira| first2 = Afonso S.| last3 = Hall| first3 = Georgina| title = Exact Recovery in the Stochastic Block Model|eprint= 1405.3267| date = May 2014 | class = cs.SI}}</ref>
<ref name="as15a">{{cite arXiv| last1 = Abbe| first1 = Emmanuel| last2 = Sandon| first2 = Colin| title = Community detection in general stochastic block models: fundamental limits and efficient recovery algorithms|eprint= 1503.00609| date = March 2015 | class = math.PR}}</ref>
<ref name="as15b">{{cite arXiv| last1 = Abbe| first1 = Emmanuel| last2 = Sandon| first2 = Colin| title = Recovering communities in the general stochastic block model without knowing the parameters|eprint= 1506.03729| date = June 2015 | class = math.PR}}</ref>
<ref name="lr15">{{Cite journal| doi = 10.1214/14-AOS1274| issn = 0090-5364| volume = 43| issue = 1| pages = 215–237| last1 = Lei| first1 = Jing| last2 = Rinaldo| first2 = Alessandro| title = Consistency of spectral clustering in stochastic block models| journal = The Annals of Statistics| date = February 2015 | arxiv = 1312.2050| s2cid = 88519551}}</ref>
<ref name="gbm">{{Cite journal| last1 = Galhotra| first1 = Sainyam| last2 = Mazumdar| first2 = Arya| last3 = Pal| first3 = Soumyabrata|
last4 = Saha| first4 = Barna| title = The Geometric Block Model| journal = AAAI| date = February 2018 | arxiv = 1709.05510}}</ref>
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last6 = Lenka| first6 = Lenka|
last7 = Zhang| first7 = Pan|
title = Spectral redemption in clustering sparse networks | journal = Proceedings of the National Academy of Sciences| date = October 2013 | doi = 10.1073/pnas.1312486110 |arxiv = 1306.5550|bibcode = 2013PNAS..11020935K | volume=110 | issue = 52| pages=20935–20940| pmid = 24277835| pmc = 3876200| doi-access = free}}</ref>
<ref name="mns12">{{cite arXiv| last1 = Mossel| first1 = Elchanan| last2 = Neeman| first2 = Joe| last3 = Sly| first3 = Allan| title = Stochastic Block Models and Reconstruction|eprint= 1202.1499| date = February 2012 | class = math.PR}}</ref>
<ref name="mns13">{{cite journal| last1 = Mossel| first1 = Elchanan| last2 = Neeman| first2 = Joe| last3 = Sly| first3 = Allan| title = Belief Propagation, Robust Reconstruction, and Optimal Recovery of Block Models| journal = The Annals of Applied Probability|arxiv= 1309.1380| date = September 2013 | volume = 26| issue = 4| pages = 2211–2256| doi = 10.1214/15-AAP1145| bibcode = 2013arXiv1309.1380M| s2cid = 184446}}</ref>
<ref name="mas13">{{cite arXiv| last = Massoulie| first = Laurent| title = Community detection thresholds and the weak Ramanujan property|eprint= 1311.3085| date = November 2013 | class = cs.SI}}</ref>
<ref name="al14">{{cite arXiv| last1 = Amini| first1 = Arash A.| last2 = Levina| first2 = Elizaveta|author2-link= Elizaveta Levina| title = On semidefinite relaxations for the block model|eprint= 1406.5647| date = June 2014 | class = cs.LG}}</ref>
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title = Mixed membership stochastic blockmodels| journal = Journal of Machine Learning Research |arxiv = 0705.4485| date = May 2007 | volume = 9| pages = 1981–2014| pmid = 21701698| pmc = 3119541| bibcode = 2007arXiv0705.4485A}}</ref>
<ref name="fat19">{{cite arXiv| last = Fathi| first = Reza| title = Efficient Distributed Community Detection in the Stochastic Block Model|eprint= 1904.07494| date = April 2019 | class = cs.DC}}</ref>
<ref name="hol">{{cite journal |title=Stochastic blockmodels: First steps |journal=[[Social Networks]] |year=1983 |lastlast1=Holland |firstfirst1=Paul W |last2=Laskey |first2=Kathryn Blackmond |last3=Leinhardt |first3=Samuel |volume=5 |issue=2 |pages=109-137109–137 |issn=0378-8733 |doi=10.1016/0378-8733(83)90021-7 |url=https://doi.org/10.1016/0378-8733(83)90021-7 |accessdate=2021-06-16 }}</ref>
<ref name="ker">{{cite journal |title=Stochastic blockmodels and community structure in networks |journal=Physical Review E |year=2011 |lastlast1=Karrer |firstfirst1=Brian |last2=Newman |first2=Mark E J |volume=83 |issue=1 |page=016107 |doi=10.1103/PhysRevE.83.016107 |pmid=21405744 |url=https://link.aps.org/doi/10.1103/PhysRevE.83.016107 |accessdate=2021-06-16 |arxiv=1008.3926 |s2cid=9068097 }}</ref>
<ref name="pei">{{cite journal |title=Hierarchical block structures and high-resolution model selection in large networks |journal=Physical Review X |year=2014 |last=Peixoto |first=Tiago |volume=4 |issue=1 |page=011047 |doi=10.1103/PhysRevX.4.011047 |url=https://journals.aps.org/prx/abstract/10.1103/PhysRevX.4.011047 |accessdate=2021-06-16 |arxiv=1310.4377 |s2cid=5841379 }}</ref>
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