99 citations · 349 across the 28 of their papers we have counts for
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Trainable and Explainable Simplicial Map Neural Networks
Eduardo Paluzo-Hidalgo, Miguel A. Gutiérrez-Naranjo, Rocio Gonzalez-Diaz
Simplicial map neural networks (SMNNs) are topology-based neural networks with interesting properties such as universal approximation ability and robustness to adversarial examples…
Two-hidden-layer Feedforward Neural Networks are Universal Approximators: A Constructive Approach
Rocio Gonzalez-Diaz, Miguel A. Gutiérrez-Naranjo, Eduardo Paluzo-Hidalgo
It is well known that Artificial Neural Networks are universal approximators. The classical result proves that, given a continuous function on a compact set on an n-dimensional spa…
Topology-based Representative Datasets to Reduce Neural Network Training Resources
Rocio Gonzalez-Diaz, Miguel A. Gutiérrez-Naranjo, Eduardo Paluzo-Hidalgo
One of the main drawbacks of the practical use of neural networks is the long time required in the training process. Such a training process consists of an iterative change of para…