Notation, mean field and pairwise models
Mean field and propagation of chaos in multi class heterogeneous loss models
... EAN FIELD ANALYSIS In this section we provide detailed proofs of the main results discussed in Section ...the mean field limit [7], [15], [16]. We first introduce the notation and mathematical ...
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The full replica symmetry breaking solution in mean-field spin glass models
... Note that the auxiliary variational representation turns out to be a powerful tool in getting the continuous limit of replica symmetry breaking free energy functional. The extension to the continuous case of the ...
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Biologically realistic mean-field models of conductance-based networks of spiking neurons with adaptation
... Appendix Master equation formulation in presence of slow vari- able. We extend here the framework discussed in (El Boustani and Destexhe, 2009) using a consistent notation. Let us consider a network with K ...
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Probabilistic Analysis of Mean-Field Games
... standard notation (α ∗−i , α i ) for the set of strategies (α ∗1 , · · · , α ∗N ) where α ∗i has been replaced by α i ...The Mean-Field ...The Mean-Field Game (MFG) philosophy of Lasry ...
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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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Asymptotic Behaviour and Derivation of Mean Field Models
... (1.2.7) where the repulsive and attractive cases are the + and − cases respectively. The Vlasov-Poisson system is widely used in the modelling of both plasmas and galax- ies as it captures kinetic effects such as Landau ...
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The Four Levels of Fixed-Points in Mean-Field Models
... the mean-field type, the evolution of the state of a particle depends on the states of the other particles only through the empirical measure, ...Such mean-field models arise in the ...
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Nonextensive critical effects in relativistic nuclear mean field models
... nuclear mean field models ⋆ Jacek Ro˙zynek a and Grzegorz Wilk b The Andrzej Sołtan Institute for Nuclear Studies, Ho˙za 69, 00681 Warsaw, Poland ...nuclear mean field models ...
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Long time behaviour and mean-field limit of Atlas models
... The term Atlas model was originally introduced in Fernholz’ monograph on Stochastic Portfolio Theory [13] to describe a stock market in which the asset prices evolve according to independent and identically distributed ...
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Translation of biological models to an SBML notation
... biologic models to SBML format Systems biology is one of the important fields of study that is helping medicine with its ...the field of systems biology and its related ...
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On the early epidemic dynamics for pairwise models
... the mean number of susceptible, recovered, and infectious individuals around an infectious individ- ual, ...so-called mean-field models, like the deterministic SIS, SIR, and SEIR (E for Exposed) ...
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Generative pairwise models for speaker recognition
... The models have been tested on the female part of the tel-tel ex- tended NIST 2010 evaluation trials [10] using a front–end based on 60-dimensional cepstral ...2–HT models do not explicitly allow ...
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Particle Based gpc Methods for Mean-Field Models of Swarming with Uncertainty
... stochastic mean-field models, the right branch describe the MC-gPC ...stochastic mean-field ...the mean-field type, then through a deterministic solver we tackle the cou- ...
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Eigenvalues of magnetohydrodynamic mean-field dynamo models : bounds and reliable computation.
... 1. Introduction. The existence of magnetic fields of astrophysical bodies like planets, stars and galaxies gives rise to linear stability problems in magnetohydrodyna- mic (MHD) dynamo theory. They are governed by ...
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Computing the skewness of the phylogenetic mean pairwise distance in linear time
... other method relies in calculating the mean, variance, and skewness of the MPD for the given tree. Description of the problem and basic concepts Definitions and notation Let T be a phylogenetic tree, and ...
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Conditional mean field
... graphical models with arbitrary potentials. Conditional mean field raises many questions, and since we can only hope to answer some in this study, the Ising model represents a respectable first ...
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Pairwise Comparison Estimation of Censored Transformation Models
... statistics mean bias, median bias. root mean squared error (RMSE) and median absolute deviation (MAD) are reported for 100,200, and 400 observations, with 401 ...
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An introduction to mathematical models of coagulation fragmentation processes: a discrete deterministic mean field approach
... deterministic mean field equations lies in their wide range of ...tation models, see for example [11–17]. A common feature of many models is self-similar ...
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Propagation of chaos and large deviations in mean-field models with jumps on block-structured networks
... The goal of the current work is the development of limiting results for interacting finite-state pure-jump processes on a class of block-structured networks. Our first main result, Theorem 3.2 and its Corollary 3.1, ...
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Bayesian Learning in Sparse Graphical Factor Models via Variational Mean-Field Annealing
... factor models, called graphical factor models (GFMs), and relevant sparse learning algorithms for posterior mode ...the models and their use for robust estimation of sparse latent factor structure ...
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