Universality for Langevin like spin glass dynamics

Amir Dembo
Amir Dembo
Ofer Zeitouni
Ofer Zeitouni

arXiv, pp. arXiv: 1911.080012019.

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Abstract:

We study dynamics for asymmetric spin glass models, proposed by Hertz et al. and Sompolinsky et al. in the 1980's in the context of neural networks: particles evolve via a modified Langevin dynamics for the Sherrington--Kirkpatrick model with soft spins, whereby the disorder is iid standard Gaussian rather than symmetric. Ben Arous and Gu...More

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