Entropies of tailored random graph ensembles: bipartite graphs, generalized degrees, and node neighbourhoods

Ensembles of tailored random graphs allow us to reason quantitatively about the complexity of system.

Journal of Physics A 47, 435101 (2014)

E. Roberts, A. Coolen

LQ placeholderEnsembles of tailored random graphs allow us to reason quantitatively about the complexity of system.

We calculate explicit formulae for the Shannon entropies of several families of tailored random graph ensembles for which no such formulae were as yet available, in leading orders in the system size. These include bipartite graph ensembles with imposed (and possibly distinct) degree distributions for the two node sets, graph ensembles constrained by specified node neigh- bourhood distributions, and graph ensembles constrained by specified gen- eralized degree distributions.

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The space of functions computed by deep layered machines

A. Mozeika, B. Li, D. Saad

Sub. to Physical Review Letters

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Replica analysis of overfitting in generalized linear models

T. Coolen, M. Sheikh, A. Mozeika, F. Aguirre-Lopez, F. Antenucci

Sub. to Journal of Physics A

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Taming complexity

M. Reeves, S. Levin, T. Fink, A. Levina

Harvard Business Review

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Replica analysis of Bayesian data clustering

A. Mozeika, T. Coolen

Journal of Physics A

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Degree-correlations in a bursting dynamic network model

F. Vanni, P. Barucca

Journal of Economic Interaction and Coordination

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Scale of non-locality for a system of n particles

S. Talaganis, I. Teimouri

Sub. to Physical Review D

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