Complexity Control by Gradient Descent in Deep Networks

TitleComplexity Control by Gradient Descent in Deep Networks
Publication TypeJournal Article
Year of Publication2020
AuthorsPoggio, T, Liao, Q, Banburski, A
JournalNature Communications
Date Published02/2020

Overparametrized deep network predict well despite the lack of an explicit complexity control during training such as an explicit regularization term. For exponential-type loss functions, we solve this puzzle by showing an effective regularization effect of gradient descent in terms of the normalized weights that are relevant for classification.


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