Artificial neural networks with uniform norm-based loss functions
Vinesha Peiris, Vera Roshchina, Nadezda Sukhorukova · Advances in Computational Mathematics · 2024
Abstract We explore the potential for using a nonsmooth loss function based on the max-norm in the training of an artificial neural network without hidden layers. We hypothesise that this may lead to superior classification results in some special cases where the training data are either very small or the class size is disproportional. Our numerical experiments performed on a simple artificial neural network with no hidden layer appear to confirm our hypothesis.