MorphoActivation: Generalizing ReLU activation function by mathematical morphology

Santiago Velasco-Forero, Jesús Angulo
7/13/2022
cs.LGcs.DMeess.IV

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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.

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@article{velascoforero2022morphoactivation,
  title  = {MorphoActivation: Generalizing ReLU activation function by mathematical morphology},
  author = {Santiago Velasco-Forero and Jesús Angulo},
  year   = {2022},
  eprint = {2207.06413},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2207.06413v1}
}

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