[PDF] Top 20 The mean-field limit of a network of Hopfield neurons with correlated synaptic weights
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The mean-field limit of a network of Hopfield neurons with correlated synaptic weights
... ]. A recent revisit of this work can be found in [ 7 ]. Using the same formalism the authors established the self-consistent mean-field equations of the ... Voir le document complet
103
Large Deviations of a Spatially-Stationary Network of Interacting Neurons
... appears a little ad hoc. One might expect that the strength of the synaptic connections is independent of the population size, and rather the system does not ... Voir le document complet
41
Exponential stability of the stationary distribution of a mean field of spiking neural network
... Masi, A. Galves, E. Löcherbach, and E. Presutti. Hydrodynamic Limit for Interacting ...Journal of Statistical Physics, 158(4):866–902, ...systems with a singular ... Voir le document complet
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Mean-field limit of generalized Hawkes processes
... Part of our analysis finds its motivation in the use of Hawkes processes for the mod- elling in ...First of all, at a microscopic scale, Hawkes processes are commonly used in ... Voir le document complet
42
Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons.
... in the area are based on the definition of a Markov chain governing the fir- ing dynamics of the neurons in the network, where the transition ... Voir le document complet
51
Asymptotic behaviour of a network of neurons with random linear interactions
... a network of spins interacting linearly with ...Gaussian weights. The intrinsic spin dynamics (without interactions) is a stochastic differential ...that the ... Voir le document complet
19
Distributed synaptic weights in a LIF neural network and learning rules
... propose a way to circumvent this difficulty by introducing a mathematical model describing a macroscopic population of leaky integrate-and-fire neurons (LIF in short), which are ... Voir le document complet
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Asymptotic description of neural networks with correlated synaptic weights
... in the direction of understanding the spin glass dynamics when more general correlations are ...class of approaches toward the description of very large populations of ... Voir le document complet
48
A large deviation principle for networks of rate neurons with correlated synaptic weights
... combination of the firing rate function and the ...its mean, the same time-varying function for each neuron, and its covariance ...operator. The covariance operator describes ... Voir le document complet
3
Network of interacting neurons with random synaptic weights
... Since the pioneering works of Lapicque [17] and of Hodgkin and Huxley [16], several types of models have been addressed to describe the evolution in time of the potential ... Voir le document complet
25
A Mean Field Theory of Nonlinear Filtering
... concerned with the regularity and the stability properties of the evolution semigroup of the measure valued process introduced in ...From the signal processing ... Voir le document complet
40
The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states
... over the past few years [ 11 , 17 , 33 , 38 , 39 ...concerned with measure solutions to the mean- field description of a LIF neural network given by Equation ( 1 ... Voir le document complet
33
A mean field game model for the evolution of cities
... variety of patterns that appear in simulations highlights that for all its sparsity, the model can provide intuitive and somehow realistic city dy- namics for a rich array of ...underlines ... Voir le document complet
40
Symmetric ground states for a stationary relativistic mean-field model for nucleons in the nonrelativistic limit
... problems of fermions interacting by a nonrelativistic interaction (see for instance [7]), and as explained in [6], this interaction is understood to have its origin in the exchange of mesons ... Voir le document complet
26
Dynamics of Polymers: a Mean-Field Theory
... In the present paper, we show how a dynamical mean-field theory can be rigorously derived for a simple model of flexible homopolymers in an implicit good ...solvent. The ... Voir le document complet
16
MEAN FIELD GAMES WITH CONGESTION
... kinds of models, which may also include congestion, are obtained by assuming that all the agents use the same distributed feedback strategy and by passing to the limit as N → ∞ before ... Voir le document complet
37
A mean-field approach to the dynamics of networks of complex neurons, from nonlinear Integrate-and-Fire to Hodgkin-Huxley models
... show the raster plot for excitatory (green dots) and inhibitory (red dots) neurons in response to an external excitatory stimulus (black dashed line in lower ...show the corresponding population rate ... Voir le document complet
20
Analog VLSI implementation of synaptic modification in realistic neurons
... This leakage conductance can be implemented using a transconductance amplifier connected in a follower-integrator configuration, with the output voltage being the mem-[r] ... Voir le document complet
81
Deterministic mean field games with control on the acceleration
... that a similar type of mean field games has been studied in [10], inde- pendently, at the same time, and with different ...To the best of our knowledge, these ... Voir le document complet
30
Mean field games with common noise
... While mean field games have been around for quite some time in one form or another, especially in economics, the theoretical framework underlying the present work goes back to the ... Voir le document complet
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