Time regularization in optimal time variable learning

Author:

Herberg Evelyn1ORCID,Herzog Roland1ORCID,Köhne Frederik2

Affiliation:

1. Interdisciplinary Center for Scientific Computing Heidelberg University Heidelberg Germany

2. Department of Mathematics University of Bayreuth Bayreuth Germany

Abstract

AbstractRecently, optimal time variable learning in deep neural networks was introduced in Antil et al. In this manuscript we extend the concept by introducing a regularization term that directly relates to the time horizon in discrete dynamical systems. Furthermore, we propose an adaptive pruning approach for Residual Neural Networks (ResNets), which reduces network complexity without compromising expressiveness, while simultaneously decreasing training time. The results are illustrated by applying the proposed concepts to classification tasks on the well known MNIST and Fashion MNIST data sets. Our PyTorch code is available on https://github.com/frederikkoehne/time_variable_learning.

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

Reference17 articles.

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