English

Linear Dilation-Erosion Perceptron for Binary Classification

Machine Learning 2020-11-13 v1

Abstract

In this work, we briefly revise the reduced dilation-erosion perceptron (r-DEP) models for binary classification tasks. Then, we present the so-called linear dilation-erosion perceptron (l-DEP), in which a linear transformation is applied before the application of the morphological operators. Furthermore, we propose to train the l-DEP classifier by minimizing a regularized hinge-loss function subject to concave-convex restrictions. A simple example is given for illustrative purposes.

Cite

@article{arxiv.2011.05989,
  title  = {Linear Dilation-Erosion Perceptron for Binary Classification},
  author = {Angelica Lourenço Oliveira and Marcos Eduardo Valle},
  journal= {arXiv preprint arXiv:2011.05989},
  year   = {2020}
}

Comments

2 pages, 1 figure, XV Encontro Cient\'ifico de P\'os-Graduandos do IMECC

R2 v1 2026-06-23T20:06:23.129Z