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10/29/2021
Limiting fluctuation and trajectorial stability of multilayer neural networks with mean field training
The mean field (MF) theory of multilayer neural networks centers around ...
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05/11/2021
Global Convergence of Three-layer Neural Networks in the Mean Field Regime
In the mean field regime, neural networks are appropriately scaled so th...
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02/16/2021
Analysis of feature learning in weight-tied autoencoders via the mean field lens
Autoencoders are among the earliest introduced nonlinear models for unsu...
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06/16/2020
A Note on the Global Convergence of Multilayer Neural Networks in the Mean Field Regime
In a recent work, we introduced a rigorous framework to describe the mea...
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01/30/2020
A Rigorous Framework for the Mean Field Limit of Multilayer Neural Networks
We develop a mathematically rigorous framework for multilayer neural net...
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02/07/2019
Mean Field Limit of the Learning Dynamics of Multilayer Neural Networks
Can multilayer neural networks -- typically constructed as highly comple...
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04/18/2018