<p style='text-indent:20px;'>In this paper we combine an approach based on Runge-Kutta Nets considered in [<i>Benning et al., J. Comput. Dynamics, 9, 2019</i>] and a technique augmenting the input space [<i>Dupont NeurIPS</i>, 2019] to obtain network architectures which show better numerical performance for deep neural networks point image classification problems. ...