Fetching the paper…
Reading the bibliography…
Statistical network modeling has focused on representing the graph as a discrete structure, namely the adjacency matrix, and considering the exchangeability of this array.
[author] Rohe, K.K., Chatterjee, S.S. and Yu, B.B. (2011). Spectral clustering and the high-dimensional stochastic blockmodel. The Annals of Statistics 39 1878–1915
1915
Earlier work this paper cites.
1919
Earlier work this paper cites.
[author] de Finetti, B.B. (1931). Funzione caratteristica di un fenomeno aleatorio. Atti della R. Academia Nazionale dei Lincei, Serie 6. Memorie, Classe di Scienze Fisiche, Mathematice e Naturale 4 251-299
1931
Earlier work this paper cites.
[author] Khintchine, A.A. (1937). Zur Theorie der unbeschrankt teilbaren Verteilungsgesetze. Mat. Sbornik 2 79–119
1937
Earlier work this paper cites.
[author] Erdös, P.P. and Rényi, A.A. (1959). On random graphs. Publicationes Mathematicae 6 290–297
1959
Earlier work this paper cites.
[author] Bühlmann, H.H. (1960). Austauschbare stochastische Variablen und ihre Grenzwertsätze PhD thesis, University of California, Berkeley
1960
Earlier work this paper cites.
[author] Hoeffding, W.W. (1961). The strong law of large numbers for U-statistics. Institute of Statistics ,Mimeo series 302
1961
Earlier work this paper cites.
[author] Karlin, S.S. (1967). Central limit theorems for certain infinite urn schemes. J. Math. Mech 17 373–401
1967
Earlier work this paper cites.
[author] Kingman, J. F. C.J. F. C. (1967). Completely random measures. Pacific Journal of Mathematics 21 59–78
1967
Earlier work this paper cites.
[author] Feller, W.W. (1971). An introduction to probability theory and its applications 2. John Wiley & Sons
1971
Earlier work this paper cites.
[author] Ferguson, T. S.T. S. and Klass, M. J.M. J. (1972). A representation of independent increment processes without Gaussian components. The Annals of Mathematical Statistics 43 1634–1643
1972
Earlier work this paper cites.
[author] Blackwell, D.D. and MacQueen, J. B.J. B. (1973). Ferguson distributions via Pólya urn schemes. The Annals of Statistics 353–355
1973
Earlier work this paper cites.
[author] Hoover, D. N.D. N. (1979). Relations on probability spaces and arrays of random variables. Preprint, Institute for Advanced Study, Princeton, NJ
1979
Earlier work this paper cites.
[author] Lewis, P. A.P. A. and Shedler, G. S.G. S. (1979). Simulation of nonhomogeneous Poisson processes by thinning. Naval Research Logistics Quarterly 26 403–413
1979
Earlier work this paper cites.
[author] Bollobás, B.B. (1980). A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. European Journal of Combinatorics 1 311–316
1980
Earlier work this paper cites.
[author] Aldous, David JD. J. (1981). Representations for partially exchangeable arrays of random variables. Journal of Multivariate Analysis 11 581–598
1981
Earlier work this paper cites.
[author] Ogata, Y.Y. (1981). On Lewis’ simulation method for point processes. IEEE Transactions on Information Theory 27 23–31
1981
Earlier work this paper cites.
[author] Aldous, D.D. (1985). Exchangeability and related topics. In Ecole d’été de Probabilités de Saint-Flour XIII - 1983 1–198. Springer
1983
Earlier work this paper cites.
[author] Hougaard, P.P. (1986). Survival models for heterogeneous populations derived from stable distributions. Biometrika 73 387–396
1986
Earlier work this paper cites.
[author] Duane, S.S., Kennedy, A. D.A. D., Pendleton, B. J.B. J. and Roweth, D.D. (1987). Hybrid Monte Carlo. Physics Letters B 195 216–222
1987
Earlier work this paper cites.
[author] Kallenberg, O.O. (1990). Exchangeable random measures in the plane. Journal of Theoretical Probability 3 81–136
1990
Earlier work this paper cites.
[author] Aalen, O.O. (1992). Modelling heterogeneity in survival analysis by the compound Poisson distribution. The Annals of Applied Probability 951–972
1992
Earlier work this paper cites.
[author] Arcones, M. A.M. A. and Giné, E.E. (1992). On the bootstrap of U and V statistics. The Annals of Statistics 655–674
1992
Earlier work this paper cites.
[author] Giné, E.E. and Zinn, J.J. (1992). Marcinkiewicz type laws of large numbers and convergence of moments for U-statistics. In Probability in Banach Spaces, 8: Proceedings of the Eighth International Conference 273–291
1992
Earlier work this paper cites.
[author] Kingman, J. F. C.J. F. C. (1993). Poisson processes 3. Oxford University Press, USA
1993
Earlier work this paper cites.
[author] Lee, M. L. T.M. L. T. and Whitmore, G. A.G. A. (1993). Stochastic processes directed by randomized time. Journal of applied probability 302–314
1993
Earlier work this paper cites.
[author] Pitman, J.J. (1995). Exchangeable and partially exchangeable random partitions. Probability Theory and Related Fields 102 145–158
1995
Earlier work this paper cites.
[author] Freedman, D. A.D. A. (1996). De Finetti’s theorem in continuous time. Lecture Notes-Monograph Series 83–98
1996
Earlier work this paper cites.
[author] Pitman, JimJ. (1996). Some developments of the Blackwell-MacQueen urn scheme. Lecture Notes-Monograph Series 245–267
1996
Earlier work this paper cites.
[author] Brooks, S. P.S. P. and Gelman, A.A. (1998). General methods for monitoring convergence of iterative simulations. Journal of computational and graphical statistics 7 434–455
1998
Earlier work this paper cites.
[author] Watts, D. J.D. J. and Strogatz, S. H.S. H. (1998). Collective dynamics of ‘small-world’ networks. Nature 393 440–442
1998
Earlier work this paper cites.
[author] Barabási, A. L.A. L. and Albert, R.R. (1999). Emergence of scaling in random networks. Science 286 509–512
1999
Earlier work this paper cites.
[author] Brix, A.A. (1999). Generalized gamma measures and shot-noise Cox processes. Advances in Applied Probability 31 929–953
1999
Earlier work this paper cites.
[author] Bollobás, B.B. (2001). Random graphs 73. Cambridge University Press
2001
Cited alongside, same era.
[author] Newman, M. E. J.M. E. J. (2001). The structure of scientific collaboration networks. Proceedings of the National Academy of Sciences 98 404–409
2001
Cited alongside, same era.
[author] Newman, M. E. J.M. E. J., Strogatz, S. H.S. H. and Watts, D. J.D. J. (2001). Random graphs with arbitrary degree distributions and their applications. Physical Review E 64 26118
2001
Cited alongside, same era.
[author] Nowicki, K.K. and Snijders, T.T. (2001). Estimation and prediction for stochastic blockstructures. Journal of the American Statistical Association 96 1077–1087
2001
Cited alongside, same era.
[author] Hoff, P. D.P. D., Raftery, A. E.A. E. and Handcock, M. S.M. S. (2002). Latent space approaches to social network analysis. Journal of the american Statistical association 97 1090–1098
[author] James, L. F.L. F., Lijoi, A.A. and Prünster, I.I. (2009). Posterior analysis for normalized random measures with independent increments. Scandinavian Journal of Statistics 36 76–97
2009
Later among the works it cites.
Miller, K
2009
Later among the works it cites.
[author] Newman, M.M. (2009). Networks: an introduction. OUP Oxford
2009
Later among the works it cites.
[author] Opsahl, T.T. and Panzarasa, P.P. (2009). Clustering in weighted networks. Social networks 31 155–163
2009
Later among the works it cites.
[author] Durrett, R.R. (2010). Probability: theory and examples. Cambridge university press
2010
Later among the works it cites.
[author] Goldenberg, A.A., Zheng, A. X.A. X., Fienberg, S. E.S. E. and Airoldi, E. M.E. M. (2010). A survey of statistical network models. Foundations and Trends in Machine Learning 2 129–233
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2002
Cited alongside, same era.
[author] James, L. F.L. F. (2002). Poisson process partition calculus with applications to exchangeable models and Bayesian nonparametrics. arXiv preprint math/0205093
2002
Cited alongside, same era.
[author] Pitman, JimJ. (2006). Combinatorial Stochastic Processes. In Ecole d’Eté de Probabilités de Saint-Flour XXXII–2002. Lecture Notes in Mathematics. Springer
2002
Cited alongside, same era.
[author] Prünster, I.I. (2002). Random probability measures derived from increasing additive processes and their application to Bayesian statistics PhD thesis, University of Pavia
2002
Cited alongside, same era.
[author] Bu, D.D., Zhao, Y.Y., Cai, L.L., Xue, H.H., Zhu, X.X., Lu, H.H., Zhang, J.J., Sun, S.S., Ling, L.L. and Zhang, N.N. (2003). Topological structure analysis of the protein–protein interaction network in budding yeast. Nucleic acids research 31 2443–2450
2003
Cited alongside, same era.
[author] Newman, M. E. J.M. E. J. (2003). The structure and function of complex networks. SIAM review 167–256
2003
Cited alongside, same era.
[author] Penrose, M.M. (2003). Random geometric graphs 5. Oxford University Press
2003
Cited alongside, same era.
[author] Pitman, J.J. (2003). Poisson-Kingman partitions. Lecture Notes-Monograph Series 1–34
2003
Cited alongside, same era.
2010
Later among the works it cites.
[author] Lijoi, A.A. and Prünster, I.I. (2010). Models beyond the Dirichlet process. In Bayesian Nonparametrics (P. Muller S. G. WalkerP. M. S. G. W. N. L. Hjort C. Holmes, ed.) Cambridge University Press
2010
Later among the works it cites.
[author] Bickel, P. J.P. J., Chen, A.A. and Levina, E.E. (2011). The method of moments and degree distributions for network models. The Annals of Statistics 39 2280–2301
2011
Later among the works it cites.
[author] Hofert, MariusM. (2011). Sampling exponentially tilted stable distributions. ACM Transactions on Modeling and Computer Simulation (TOMACS) 22 3
2011
Later among the works it cites.
2011
Later among the works it cites.
[author] Karrer, BrianB. and Newman, Mark EJM. E. (2011). Stochastic blockmodels and community structure in networks. Physical Review E 83 016107
2011
Later among the works it cites.
[author] Neal, R. M.R. M. (2011). MCMC using Hamiltonian dynamics. In Handbook of Markov Chain Monte Carlo, (S.S. Brooks, A.A. Gelman, G.G. Jones and X. L.X. L. Meng, eds.) 2 Chapman & Hall / CRC Press
2011
Later among the works it cites.
[author] Fienberg, S. ES. E. (2012). A brief history of statistical models for network analysis and open challenges. Journal of Computational and Graphical Statistics 21 825–839
2012
Later among the works it cites.
[author] Kim, M.M. and Leskovec, J.J. (2012). Multiplicative attribute graph model of real-world networks. Internet Mathematics 8 113–160
2012
Later among the works it cites.
Lloyd, J
2012
Later among the works it cites.
McAuley, J
2012
Later among the works it cites.
[author] Nešetřil, J.J. and Ossona de Mendez, P.P. (2012). Sparsity (Graphs, Structures, and Algorithms). Springer
2012
Later among the works it cites.
Palla, K
2012
Later among the works it cites.
[author] Zhao, Y.Y., Levina, E.E. and Zhu, J.J. (2012). Consistency of community detection in networks under degree-corrected stochastic block models. The Annals of Statistics 40 2266–2292
2012
Later among the works it cites.
[author] Favaro, S.S. and Teh, Y. W.Y. W. (2013). MCMC for normalized random measure mixture models. Statistical Science 28 335-359
2013
Later among the works it cites.
2013
Later among the works it cites.
Airoldi, E. M
2014
Closest in time.
[author] Airoldi, E. ME. M., Blei, D.D., Fienberg, S. ES. E. and Xing, E.E. (2008). Mixed membership stochastic blockmodels. The Journal of Machine Learning Research 9 1981–2014
2014
Closest in time.
2014
Closest in time.
[author] Caron, F.F., Teh, Y. W.Y. W. and Murphy, T. B.T. B. (2014). Bayesian nonparametric Plackett-Luce models for the analysis of preferences for college degree programmes. The Annals of Applied Statistics 8 1145-1181
2014
Closest in time.
[author] Gelman, A.A., Carlin, J. B.J. B., Stern, H. S.H. S., Dunson, D. B.D. B., Vehtari, A.A. and Rubin, D. B.D. B. (2014). Bayesian Data Analysis. Chapman and Hall/CRC
2014
Closest in time.
[author] Herlau, T.T., Schmidt, M. N.M. N. and Mørup, M.M. (2014). Infinite-degree-corrected stochastic block model. Physical Review E 90 032819
2014
Closest in time.
2014
Closest in time.
[author] van der Hofstad, RemcoR. (2014). Random graphs and complex networks. Vol. I. Technical Report, Department of Mathematics and Computer Science. Eindhoven University of Technology
2014
Closest in time.
[author] Wolfe, P.P. and Choi, D. S.D. S. (2014). Co-clustering separately exchangeable network data. Annals of Statistics 42 29–63
2014
Closest in time.
2014
Closest in time.
[author] Orbanz, P.P. and Roy, D. M.D. M. (2015). Bayesian Models of Graphs, Arrays and Other Exchangeable Random Structures. IEEE Trans. Pattern Anal. Mach. Intelligence (PAMI) 37 437-461
2015
Closest in time.
[author] Caron, F.F. (2012). Bayesian nonparametric models for bipartite graphs. In Advances in Neural Information Processing Systems 25 (F.F. Pereira, C. J. C.C. J. C. Burges, L.L. Bottou and K. Q.K. Q. Weinberger, eds.) 2051–2059. Curran Associates, Inc
2059
Closest in time.