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cs.LG2021★ 1 cited
Limiting fluctuation and trajectorial stability of multilayer neural networks with mean field training
Huy Tuan Pham, Phan-Minh Nguyen
The mean field (MF) theory of multilayer neural networks centers around a particular infinite-width scaling, where the learning dynamics is closely tracked by the MF limit. A rando…
cs.LG2021
Global Convergence of Three-layer Neural Networks in the Mean Field Regime
Huy Tuan Pham, Phan-Minh Nguyen
In the mean field regime, neural networks are appropriately scaled so that as the width tends to infinity, the learning dynamics tends to a nonlinear and nontrivial dynamical limit…
cs.LG2020★ 1 cited
A Note on the Global Convergence of Multilayer Neural Networks in the Mean Field Regime
Huy Tuan Pham, Phan-Minh Nguyen
In a recent work, we introduced a rigorous framework to describe the mean field limit of the gradient-based learning dynamics of multilayer neural networks, based on the idea of a…