Statistical mechanics of community detection

Statistical mechanics of community detection.

Starting from a general ansatz, we show how community detection can be interpreted as finding the ground state of an infinite range spin glass. Our approach applies to weighted and directed networks alike. It contains the ad hoc introduced quality function from [J. Reichardt and S. Bornholdt, Phys. Rev. Lett. 93, 218701 (2004)] and the modularity Q as defined by Newman and Girvan [Phys. Rev. E ...

The statistical mechanics of community assembly

Theoretically, communities at or near their equilibrium species number resist 34 entry of new species. Such ‘biotic resistance’ recently has been questioned because of successful 35 entry of alien species into diverse natural communities. Data on 10,409 naturalizations of 5350 36 plant species over 16 sites dispersed globally show exponential distributions for both species over 37 sites and sit...

Multiuser Detection and Statistical Mechanics

We present a framework for analyzing multiuser detectors in the context of statistical mechanics. A multiuser detector is shown to be equivalent to a conditional mean estimator which finds the mean value of the stochastic output of a so-called Bayes retrochannel. The Bayes retrochannel is equivalent to a spin glass in the sense that the distribution of its stochastic output conditioned on the r...

The statistical mechanics of community assembly and species distribution.

• Theoretically, communities at or near their equilibrium species number resist entry of new species. Such 'biotic resistance' recently has been questioned because of successful entry of alien species into diverse natural communities. • Data on 10,409 naturalizations of 5350 plant species over 16 sites dispersed globally show exponential distributions both for species over sites and for sites o...

Statistical Mechanics