On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

27 May 2020Stephan Wojtowytsch

We describe a necessary and sufficient condition for the convergence to minimum Bayes risk when training two-layer ReLU-networks by gradient descent in the mean field regime with omni-directional initial parameter distribution. This article extends recent results of Chizat and Bach to ReLU-activated networks and to the situation in which there are no parameters which exactly achieve MBR... (read more)

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