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Time Regularization in Optimal Time Variable Learning

Title data

Herberg, Evelyn ; Herzog, Roland ; Köhne, Frederik:
Time Regularization in Optimal Time Variable Learning.
Heidelberg , 2023 . - 9 p.
DOI: https://doi.org/10.48550/arXiv.2306.16111

Official URL: Volltext

Project information

Project title:
Project's official title
Project's id
Multilevel Architectures and Algorithms in Deep Learning
464103607

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

Recently, optimal time variable learning in deep neural networks (DNNs) was introduced in Antil, Díaz, Herberg, 2022. 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, Köhne, 2023.

Further data

Item Type: Preprint, postprint
Refereed: Yes
Keywords: deep learning; deep neural networks; network architecture; PyTorch
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics > Chair Applied Mathematics - Univ.-Prof. Dr. Anton Schiela
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 03 Jul 2023 09:18
Last Modified: 03 Jul 2023 10:11
URI: https://eref.uni-bayreuth.de/id/eprint/85900