Tailored graph ensembles as proxies or null models for real networks II: results on directed graphs
Our approach gives a rigorous quantitative method for prioritising network properties.
Journal of Physics A 44, 275002 (2011)
E. Roberts, T. Schlitt, A. Coolen
We generate new mathematical tools with which to quantify the macroscopic topological structure of large directed networks. This is achieved via a statistical mechanical analysis of constrained maximum entropy ensembles of directed random graphs with prescribed joint distributions for in- and out-degrees and prescribed degree–degree correlation functions. We calculate exact and explicit formulae for the leading orders in the system size of the Shannon entropies and complexities of these ensembles, and for information-theoretic distances. The results are applied to data on gene regulation networks.
The space of functions computed by deep layered machines
A. Mozeika, B. Li, D. Saad
Sub. to Physical Review Letters
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
Degree-correlations in a bursting dynamic network model
F. Vanni, P. Barucca
Journal of Economic Interaction and Coordination
Phase transition creates the geometry of the continuum from discrete space
R. Farr, T. Fink
Physical Review E
Intelligently chosen interventions have potential to outperform the diode bridge in power conditioning
F. Liu, Y. Zhang, O. Dahlsten, F. Wang
Scientific Reports
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