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math.PR2024
Universality of the mean-field equations of networks of Hopfield-like neurons
Olivier Faugeras, Etienne Tanré
We revisit the problem of characterising the mean-field limit of a network of Hopfield-like neurons. Building on the previous works of Ben Arous and Guionnet we establish for a lar…
math.PR2020
Asymptotic behavior of a network of neurons with random linear interactions
Olivier Faugeras, Émilie Soret, Etienne Tanré
We study the asymptotic behavior for asymmetric neuronal dynamics in a network of linear Hopfield neurons. The interaction between the neurons is modeled by random couplings which…