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Local Stability Analysis in the Mean Field

Mean Field Analysis of Personalized PageRank with Implications for Local Graph Clustering

Mean Field Analysis of Personalized PageRank with Implications for Local Graph Clustering

... a mean-field model of Personalized PageRank on the Erd˝ os-R´ enyi random graph containing a denser planted Erd˝ os-R´ enyi ...quality local clustering when the number of seed nodes is ...for ...

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Probabilistic Analysis of Mean-Field Games

Probabilistic Analysis of Mean-Field Games

... 1. Introduction. In a trailblazing contribution, Lasry and Lions [19, 20, 21] proposed a methodology to produce approximate Nash equilibriums for stochastic differential games with symmetric interactions and a large ...

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Mean field analysis for Continuous Time Bayesian Networks

Mean field analysis for Continuous Time Bayesian Networks

... - compute from transient, r = P r{Q}; - output r; Fig. 3. The prediction inference procedure. state S at time 0. In Fig. 4 the results computed by solving the GSPN are compared with the MFM for two configurations of the ...

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Conditional mean field

Conditional mean field

... pairwise interactions, so it is expected that rudimentary MCMC methods such as Gibbs sampling will get “stuck” in local modes [9]. Our algorithm settings are as follows. We use 1000 particles (as with most ...

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On the stability of the mean-field spin glass broken phase under non-Hamiltonian perturbations

On the stability of the mean-field spin glass broken phase under non-Hamiltonian perturbations

... In fig. 3 we plot the same data as a function of t t w (again in double log scale). This is the usual search for an aging-like scaling. Here the scaling of the data is reasonable but obviously not perfect: scaling ...

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Mean square stability analysis of impulsive stochastic differential equations with delays

Mean square stability analysis of impulsive stochastic differential equations with delays

... the stability investigation of stochastic systems with delays is interesting to many authors, and a large number of stability criteria of these systems have been reported (see [14,8–10,5,1,4,15,7] and ...

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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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Notes on Mean Field Games

Notes on Mean Field Games

... As for the second part of the program, the limiting behavior of differential games when the number of players tend to infinity has been understood only for ergodic differential games [45]. The general case remains ...

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Heterogenous mean-field analysis of a generalized voter-like model on networks

Heterogenous mean-field analysis of a generalized voter-like model on networks

... heterogeneous mean-field (HMF) level that (i) yields a unified picture for existing copy/invasion processes and (ii) allows for the introduction of further heterogeneity through degree-selectivity ...

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Mean field analysis of a spatial stochastic model of a gene regulatory network

Mean field analysis of a spatial stochastic model of a gene regulatory network

... The mean behaviour for the positive feedback case is perhaps less surprising than the negative feedback ...the mean of 1000 trajectories appears to simply smooth out the noise in the time ...the mean ...

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Mean-Field-Analysis of Coding versus Replication in Cloud Storage Systems

Mean-Field-Analysis of Coding versus Replication in Cloud Storage Systems

... queueing analysis of such systems is, in general, quite difficult except for the trivial case when the system load asymptotically tends to ...a mean-field limit for the steady-state distribution of ...

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Estimation of Local Microcanonical Averages in Two Lattice Mean-Field Models Using Coupling Techniques

Estimation of Local Microcanonical Averages in Two Lattice Mean-Field Models Using Coupling Techniques

... Since many of these auxiliary measures can be written in the same form as standard thermodynamic ensembles, it will be helpful to extend the standard terminology also there, leading, for[r] ...

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Distribution of Diffusion Measures from a Local Mean-Square Displacement Analysis

Distribution of Diffusion Measures from a Local Mean-Square Displacement Analysis

... the local MSD algorithm will be statistically ...the local MSD analysis to the characteristics of subdiffusion as seen in the long-time MSD ...the local MSD analysis as it is used by ...

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Polluting Productions and Sustainable Economic Growth: A Local Stability Analysis

Polluting Productions and Sustainable Economic Growth: A Local Stability Analysis

... During the last three decades, this counterposition en- couraged many economists to develop models in which economic growth depends on the extractive use of the environment. Inspired by the work of the Club of Rome and ...

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Time Stability and Coherence Analysis of Multiunit, Single-Unit and Local Field Potential Neuronal Signals in Chronically Implanted Brain Electrodes

Time Stability and Coherence Analysis of Multiunit, Single-Unit and Local Field Potential Neuronal Signals in Chronically Implanted Brain Electrodes

... We also monitored electrode imped- ance during the course of the study. Elec- trode impedance not only reveals impor- tant information regarding the electrical properties of chronic implants, including integrity of ...

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Finite mean field games: fictitious play and convergence to a first order continuous mean field game

Finite mean field games: fictitious play and convergence to a first order continuous mean field game

... This analysis has then been extended in [20], by assuming that the MFG is monotone, which means that agents have aversion to imitate the strategies of other ...

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Bandwagon effect in mean-field games

Bandwagon effect in mean-field games

... in mean-field games Leonardo Stella, Fabio Bagagiolo, Dario Bauso, Raffaele Pesenti Abstract— This paper provides a mean-field game theoretic model of the bandwagon effect in social ...a ...

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Dynamic demand and mean-field games

Dynamic demand and mean-field games

... and mean-field games Dario Bauso Abstract—Within the realm of smart buildings and smart cities, dynamic response management is playing an ever-increasing role thus attracting the attention of scientists ...

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Inspection games in a mean field setting

Inspection games in a mean field setting

... The mean field game theory is a new branch of game theory and it has become a powerful tool to study complex games with a large number of ...a mean field game in a finite state space ...the ...

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Bursts in brainactivity   a mean field reduction

Bursts in brainactivity a mean field reduction

... 5.1 Qualitative approach 5 METHODS 5.1 Q UALITATIVE APPROACH The desired neuronal behaviour is bursting. Therefore one may also look at what exactly makes a neuron burst and more importantly, what makes a neuron stop ...

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