51 citations · 69 across the 8 of their papers we have counts for
4 papers
Training Single-Layer Morphological Perceptron Using Convex-Concave Programming
Iara Cunha, Marcos Eduardo Valle
This paper concerns the training of a single-layer morphological perceptron using disciplined convex-concave programming (DCCP). We introduce an algorithm referred to as K-DDCCP, w…
Dual Quaternion Rotational and Translational Equivariance in 3D Rigid Motion Modelling
Guilherme Vieira, Eleonora Grassucci, Marcos Eduardo Valle +1
Objects' rigid motions in 3D space are described by rotations and translations of a highly-correlated set of points, each with associated coordinates that real-valued netwo…
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…