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A known failing of many popular random graph models is that the Aldous-Hoover Theorem guarantees these graphs are dense with probability one; that is, the number of edges grows quadratically with the number of nodes.
The representation of partition structures
J. F. C. Kingman · 1978
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Relations on probability spaces and arrays of random variables
D. N. Hoover · 1979
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Exchangeability and related topics
D. J. Aldous · 1985
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Survival models for heterogeneous populations derived from stable distributions
P. Hougaard · 1986
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Exchangeable and partially exchangeable random partitions
J. Pitman · 1995
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Survival analysis: techniques for censored and truncated data
J. P. Klein and M. L. Moeschberger · 2003
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Power laws, Pareto distributions and Zipf’s law
M. E. J. Newman · 2005
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Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws
A. Gnedin, B. Hansen, and J. Pitman · 2007
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Beta processes, stick-breaking, and power laws
T. Broderick, M. I. Jordan, and J. Pitman · 2012
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Cluster and feature modeling from combinatorial stochastic processes
T. Broderick, M. I. Jordan, and J. Pitman
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Feature allocations, probability functions, and paintboxes
T. Broderick, J. Pitman, and M. I. Jordan
Cited in the paper.
Posteriors, conjugacy, and exponential families for completely random measures
T. Broderick, A. C. Wilson, and M. I. Jordan · 2014
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Combinatorial clustering and the beta negative binomial process
T. Broderick, L. Mackey, J. Paisley, and M. I. Jordan · 2015
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Bayesian nonparametric models of sparse and exchangeable random graphs
F. Caron and E. B. Fox · 2015
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Bayesian models of graphs, arrays and other exchangeable random structures
P. Orbanz and D. M. Roy · 2015
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