A Rigorous Framework for the Mean Field Limit of Multilayer Neural Networks

30 Jan 2020Phan-Minh NguyenHuy Tuan Pham

We develop a mathematically rigorous framework for multilayer neural networks in the mean field regime. As the network's width increases, the network's learning trajectory is shown to be well captured by a meaningful and dynamically nonlinear limit (the \textit{mean field} limit), which is characterized by a system of ODEs... (read more)

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