Point classification with Runge-Kutta networks and feature space augmentation
In this paper we combine an approach based on Runge-Kutta Nets considered in [Benning et al., J. Comput. Dynamics, 9, 2019] and a technique on augmenting the input space in [Dupont et al., NeurIPS, 2019] to obtain network architectures which show a better numerical performance for deep neural networks in point classification problems. The approach is illustrated with several examples implemented in PyTorch.
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