English

MorphoActivation: Generalizing ReLU activation function by mathematical morphology

Machine Learning 2022-07-15 v1 Discrete Mathematics Image and Video Processing Signal Processing Applications

Abstract

This paper analyses both nonlinear activation functions and spatial max-pooling for Deep Convolutional Neural Networks (DCNNs) by means of the algebraic basis of mathematical morphology. Additionally, a general family of activation functions is proposed by considering both max-pooling and nonlinear operators in the context of morphological representations. Experimental section validates the goodness of our approach on classical benchmarks for supervised learning by DCNN.

Keywords

Cite

@article{arxiv.2207.06413,
  title  = {MorphoActivation: Generalizing ReLU activation function by mathematical morphology},
  author = {Santiago Velasco-Forero and Jesús Angulo},
  journal= {arXiv preprint arXiv:2207.06413},
  year   = {2022}
}
R2 v1 2026-06-25T00:53:30.324Z