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A neural cost function for BIBD generation is proposed with connections of arity four, and its continuous counterpart is derived, as required by the mean field formulation.
By approximating the population process with a closely related Ornstein Uhlenbeck process we effectively linearized the system about a fixed point given by the mean field behavior.
Clusters are considered as single objects that emit monomers close to them, at higher rates than predicted by the mean field cluster dynamics method.
Graphene zigzag edges are known to show the spin polarized ferromagnetic states, which are well described by the mean field treatment of Hubbard model.
Besides incoherent fluctuations (due to, e.g., quenched randomness in the neurons' connectivity and/or to external input), which are properly taken into account by the mean field approach through the variance of the input [17], corrections arise because for finite N the population spiking activity fluctuates around the infinite-N, mean field value.
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With the calculated exchange interactions, TC is estimated by using the mean field approximation, the random phase approximation and the Monte Carlo simulation.
The dependence of γ on the reduced critical temperature can be described within experimental error by both the mean field theory and the Ising-3D theory.
Analysis of the miscibility map by using the mean field theory showed that the intramolecular repulsion between styrene and acrylonitrile units in SAN gives a large contribution to the miscibility of PAr-co-TMPAr and SAN.
By running the mean field equations many times with different random realizations of vector ϕ, we obtain an empirical replay success rate ϱ t as the fraction of runs with successful retrieval Γ t > 0.5.
The Ornstein Uhlenbeck process is obtained by linearizing about the mean field steady state distribution of the tau-leaping model (see Appendix B).
The mean OS thickness is close to zero by the time the mean field loss is −8 dB.
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