Search Results for author: Alain Rossier

Found 3 papers, 1 papers with code

Asymptotic Analysis of Deep Residual Networks

no code implementations15 Dec 2022 Rama Cont, Alain Rossier, Renyuan Xu

We investigate the asymptotic properties of deep Residual networks (ResNets) as the number of layers increases.

Convergence and Implicit Regularization Properties of Gradient Descent for Deep Residual Networks

no code implementations14 Apr 2022 Rama Cont, Alain Rossier, Renyuan Xu

We prove linear convergence of gradient descent to a global optimum for the training of deep residual networks with constant layer width and smooth activation function.

Scaling Properties of Deep Residual Networks

1 code implementation25 May 2021 Alain-Sam Cohen, Rama Cont, Alain Rossier, Renyuan Xu

Residual networks (ResNets) have displayed impressive results in pattern recognition and, recently, have garnered considerable theoretical interest due to a perceived link with neural ordinary differential equations (neural ODEs).

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