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Consider the twin problems of estimating the connection probability matrix of an inhomogeneous random graph and the graphon of a W-random graph.
Regular partitions of graphs
Endre Szemerédi · 1975
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On the best constants in the Khinchin inequality
S. J. Szarek · 1976
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Paul W. Holland, Kathryn Blackmond Laskey, and Samuel Leinhardt · 1983
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Quick approximation to matrices and applications
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Latent space approaches to social network analysis
Peter D Hoff, Adrian E Raftery, and Mark S Handcock · 2002
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Random sampling and approximation of max-csps
Noga Alon, W. Fernandez De La Vega, Ravi Kannan, and Marek Karpinski · 2003
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Concentration inequalities using the entropy method
Stéphane Boucheron, Gábor Lugosi, and Pascal Massart · 2003
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Introduction to nonparametric estimation
Alexandre B. Tsybakov · 2004
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Limits of dense graph sequences
László Lovász and Balázs Szegedy · 2006
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The phase transition in inhomogeneous random graphs
Béla Bollobás, Svante Janson, and Oliver Riordan · 2007
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Graph limits and exchangeable random graphs
Persi Diaconis and Svante Janson · 2007
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Convergent sequences of dense graphs. I. Subgraph frequencies, metric properties and testing
C. Borgs, J.T. Chayes, L. Lovász, V. T. Sós, and K. Vesztergombi · 2008
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A nonparametric view of network models and newman–girvan and other modularities
Peter J Bickel and Aiyou Chen · 2009
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The method of moments and degree distributions for network models
Peter J Bickel, Aiyou Chen, and Elizaveta Levina · 2011
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Rank penalized estimators for high-dimensional matrices
Olga Klopp · 2011
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Convergent sequences of dense graphs II. Multiway cuts and statistical physics
C. Borgs, J.T. Chayes, L. Lovász, V. T. Sós, and K. Vesztergombi · 2012
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Stochastic blockmodels with a growing number of classes
D. S. Choi, P. J. Wolfe, and E. M. Airoldi · 2012
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Large networks and graph limits
László Lovász · 2012
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An iterative step-function estimator for graphons
Diana Cai, Nathanael Ackerman, and Cameron Freer · 2014
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A consistent histogram estimator for exchangeable graph models
Stanley H. Chan and Edoardo M. Airoldi · 2014
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Nonparametric estimation and testing of exchangeable graph models
Justin Yang, Christina Han, and Edoardo M. Airoldi · 2014
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Consistent nonparametric estimation for heavy-tailed sparse graphs
C. Borgs, J.T. Chayes, H. Cohn, and S. Ganguly · 2015
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Private graphon estimation for sparse graphs
Christian Borgs, Jennifer Chayes, and Adam Smith · 2015
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Matrix estimation by universal singular value thresholding
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Stochastic blockmodel approximation of a graphon: Theory and consistent estimation
Edo M Airoldi, Thiago B Costa, and Stanley H Chan · 2013
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Graphons, cut norm and distance, couplings and rearrangements
Svante Janson · 2013
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Bayesian model averaging of stochastic block models to estimate the graphon function and motif frequencies in a w-graph model
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Nonparametric graphon estimation
Patrick J. Wolfe and Sofia C. Olhede · 2013
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Christian Borgs, Jennifer T Chayes, Henry Cohn, and Yufei Zhao · 2014
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An lp theory of sparse graph convergence ii: Ld convergence, quotients, and right convergence
Christian Borgs, Jennifer T Chayes, Henry Cohn, and Yufei Zhao · 2014
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Rate-optimal graphon estimation
Chao Gao, Yu Lu, and Harrison H Zhou · 2015
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Estimating network edge probabilities by neighborhood smoothing
Yuan Zhang, Elizaveta Levina, and Ji Zhu · 2015
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Sharp nonasymptotic bounds on the norm of random matrices with independent entries
Afonso S. Bandeira and Ramon van Handel · 2016
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Community detection in sparse networks via grothendieck’s inequality
Olivier Guédon and Roman Vershynin · 2016
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Oracle inequalities for network models and sparse graphon estimation
Olga Klopp, Alexandre B. Tsybakov, and Nicolas Verzelen · 2017
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