51 citations · 191 across the 15 of their papers we have counts for
15 papers
Shortest Length Total Orders Do Not Minimize Irregularity in Vector-Valued Mathematical Morphology
Samuel Francisco, Marcos Eduardo Valle
Mathematical morphology is a theory concerned with non-linear operators for image processing and analysis. The underlying framework for mathematical morphology is a partially order…
Extending the Universal Approximation Theorem for a Broad Class of Hypercomplex-Valued Neural Networks
Wington L. Vital, Guilherme Vieira, Marcos Eduardo Valle
The universal approximation theorem asserts that a single hidden layer neural network approximates continuous functions with any desired precision on compact sets. As an existentia…
Quaternion-Valued Convolutional Neural Network Applied for Acute Lymphoblastic Leukemia Diagnosis
Marco Aurélio Granero, Cristhian Xavier Hernández, Marcos Eduardo Valle
The field of neural networks has seen significant advances in recent years with the development of deep and convolutional neural networks. Although many of the current works addres…
On the Dynamics of Hopfield Neural Networks on Unit Quaternions
Marcos Eduardo Valle, Fidelis Zanetti de Castro
In this paper, we first address the dynamics of the elegant multi-valued quaternionic Hopfield neural network (MV-QHNN) proposed by Minemoto and collaborators. Contrary to what was…
Least-Squares Linear Dilation-Erosion Regressor Trained using a Convex-Concave Procedure
Angelica Lourenço Oliveira, Marcos Eduardo Valle
This paper presents a hybrid morphological neural network for regression tasks called linear dilation-erosion regressor (-DER). An -DER is given by a convex combination…
A General Framework for Hypercomplex-valued Extreme Learning Machines
Guilherme Vieira, Marcos Eduardo Valle
This paper aims to establish a framework for extreme learning machines (ELMs) on general hypercomplex algebras. Hypercomplex neural networks are machine learning models that featur…