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The mean field approximation

Applying Mean-field Approximation to Continuous Time Markov Chains

Applying Mean-field Approximation to Continuous Time Markov Chains

... of mean-field approximation is to approximate the mean dy- namics of a Markov population process through a system of differential equa- tions ...reliable approximation if the considered ...

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Applying Mean-Field Approximation to Continuous Time Markov Chains

Applying Mean-Field Approximation to Continuous Time Markov Chains

... A second extension we present in this section concerns the application of the deterministic approximation theorem to uncountable domains. In Section 4 we il- lustrated an application of mean-field ...

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Failure of mean-field approximation in weakly coupled dilaton gravity

Failure of mean-field approximation in weakly coupled dilaton gravity

... 2 Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny 141700, Moscow Re- gion, Russia Abstract. We investigate black hole evaporation in a weakly coupled model of two-dimensional dilaton gravity ...

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Ferrimagnetism in the Mean-field Approximation of a Mixed Spin Ising Nanowire System

Ferrimagnetism in the Mean-field Approximation of a Mixed Spin Ising Nanowire System

... the mean-field approximation (MFA), in order to clarify the physical background for the characteristic phenomena observed in the ferrimagnetic mixed nanowire ...the mean-field theory ...

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Estimation of Software Reliability by Sequential Testing with Simulated Annealing of Mean Field Approximation

Estimation of Software Reliability by Sequential Testing with Simulated Annealing of Mean Field Approximation

... of mean field approximation for finding the possible minimum number of failed components in the sequential ...the mean field approximation is also ...

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The diffusion equation method of global optimization is a mean field approximation to simulated annealing

The diffusion equation method of global optimization is a mean field approximation to simulated annealing

... We show that the diffusion equation method of global minimization of Kostrowicki and Piela is equivalent to mean field annealing, a previously reported deterministic approximation to.. t[r] ...

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Conditional mean field

Conditional mean field

... conditionally-specified mean field approximations, and use sequential Monte Carlo (SMC) [7] to obtain samples from ...(naive mean field) to a difficult-to-sample one (the distribution of ...

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Inspection games in a mean field setting

Inspection games in a mean field setting

... V. Kolokoltsov, H. Passi and W. Yang (2013). Inspection and crime prevention: an evolutionary perspective. ArXiv/e-prints/math.OC/1306.4219. V. Kolokoltsov, M. Troeva and W. Yang (2014). On the rate of convergence for ...

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On the Approximation Error of Mean-Field Models

On the Approximation Error of Mean-Field Models

... Then the macroscopic behaviors of the stochastic system can be approximated using the mean-field model, e.g., the stationary distribution of the stochastic system may be ap- Permission to make digital or ...

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Mean Field Variational Approximation for Continuous-Time Bayesian Networks

Mean Field Variational Approximation for Continuous-Time Bayesian Networks

... Our approach is motivated by results of Opper and Sanguinetti (2007) who developed a varia- tional principle for a related model. Their model is similar to an HMM, in which the hidden chain is a continuous-time Markov ...

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Crowd-Averse Robust Mean-Field Games: Approximation via State Space Extension

Crowd-Averse Robust Mean-Field Games: Approximation via State Space Extension

... robust mean-field games: approximation via state space extension ...coupling mean-field term measuring the congestion resulting from the collective behavior, which motivates the term ...

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Crowd-averse robust mean-field games: approximation via state space extension

Crowd-averse robust mean-field games: approximation via state space extension

... robust mean-field games: approximation via state space extension ...coupling mean-field term measuring the congestion resulting from the collective behavior, which motivates the term ...

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Inspection games in a mean field setting

Inspection games in a mean field setting

... a mean field ...the mean field game methodology, we present a solution as an ǫ-equilibrium to this type of inspection games, where ǫ goes to 0 as N tends to ...an approximation ...

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Probabilistic Analysis of Mean-Field Games

Probabilistic Analysis of Mean-Field Games

... OF MEAN-FIELD GAMES REN ´ E CARMONA ∗ AND FRANC ¸ OIS DELARUE † ...with mean field interactions. We implement the Mean-Field Game strategy developed analytically by Lasry and ...

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Binding and Selectivity in L-Type Calcium Channels: A Mean Spherical Approximation

Binding and Selectivity in L-Type Calcium Channels: A Mean Spherical Approximation

... electric field that emanates from the carboxylate/Ca 2⫹ mixture ...electric field in the fluorophore varies with the concen- tration of free Ca 2⫹ in the solution, much as does the electric field of ...

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On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results

On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results

... THE APPROXIMATION OF THE INTEGRAL MEAN DIVERGENCE AND f −DIVERGENCE VIA MEAN RESULTS ...the approximation of the difference between two integral means are utilised to obtain bounds on the ...

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Invariant mean and a Korovkin type approximation theorem

Invariant mean and a Korovkin type approximation theorem

... invariant mean; σ -convergence; Korovkin-type approximation theorem 1 Introduction and preliminaries Let c and ∞ denote the spaces of all convergent and bounded sequences, respectively, and note that c ⊂ ∞ ...

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The Approximation of Hermite Interpolation on the Weighted Mean Norm

The Approximation of Hermite Interpolation on the Weighted Mean Norm

... simultaneous approximation by Hermite interpolation ...simultaneous approximation problem of the lower-order Hermite interpolation based on the zeros of Chebyshev polynomials under weighted Lp-norm in ...

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A Galerkin approximation scheme for the mean correction in a mean-reversion stochastic differential equation

A Galerkin approximation scheme for the mean correction in a mean-reversion stochastic differential equation

... the mean correction function α : R × [0, ∞ ) 7→ α(x, t) ∈ R is twice continuously differentiable in x and continuously differentiable in ...the mean correction function α sat- isfies a non-linear partial ...

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Mean-field games for marriage.

Mean-field games for marriage.

... Conclusion In this paper we have proposed a mean-field game model for marriage, cohabitation, divorce and remarriage. Our study suggests that the optimal effort may help in sustaining marriage and ...

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