11 citations · 12 across the 4 of their papers we have counts for
4 papers
Multisymplectic Formulation of Deep Learning Using Mean--Field Type Control and Nonlinear Stability of Training Algorithm
Nader Ganaba
As it stands, a robust mathematical framework to analyse and study various topics in deep learning is yet to come to the fore. Nonetheless, viewing deep learning as a dynamical sys…
Deep Learning: Hydrodynamics, and Lie-Poisson Hamilton-Jacobi Theory
Nader Ganaba
The interpretation of deep learning as a dynamical system has gained a considerable attention in recent years as it provides a promising framework. It allows for the use of existin…
Convolutional Normalization
Massimiliano Esposito, Nader Ganaba
As the deep neural networks are being applied to complex tasks, the size of the networks and architecture increases and their topology becomes more complicated too. At the same tim…
The Stochastic Energy-Casimir Method
Alexis Arnaudon, Nader Ganaba, Darryl Holm
In this paper, we extend the energy-Casimir stability method for deterministic Lie-Poisson Hamiltonian systems to provide sufficient conditions for the stability in probability of…