Stochastic Ising model with plastic interactions

We propose a new model based on the Ising model with the aim to study synaptic plasticity phenomena in neural networks. It is today well established in biology that the synapses or connections between certain types of neurons are strengthened when the neurons are co-active, a form of the so called s...

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Bibliographic Details
Published in:arXiv.org 2016-07
Main Authors: Pechersky, Eugene, Via, Guillem, Yambartsev, Anatoly
Format: Article
Language:English
Subjects:
Ising model
Markov chains
Neural networks
Neurons
Spin dynamics
Synapses
Online Access:Get full text
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Summary:We propose a new model based on the Ising model with the aim to study synaptic plasticity phenomena in neural networks. It is today well established in biology that the synapses or connections between certain types of neurons are strengthened when the neurons are co-active, a form of the so called synaptic plasticity. Such mechanism is believed to mediate the formation and maintenance of memories. The proposed model describes some features from that phenomenon. Together with the spin-flip dynamics, in our model the coupling constants are also subject to stochastic dynamics, so that they interact with each other. The evolution of the system is described by a continuous-time Markov jump process. Keyword Markov chain, Stochastic Ising model, synaptic plasticity, neural networks, transience
ISSN:2331-8422