8 citations · 15 across the 4 of their papers we have counts for
4 papers
Dynamics of Structured Complex-Valued Hopfield Neural Networks
Rama Murthy Garimella, Marcos Eduardo Valle, Guilherme Vieira +2
In this paper, we explore the dynamics of structured complex-valued Hopfield neural networks (CvHNNs), which arise when the synaptic weight matrix possesses specific structural pro…
Universal Approximation Theorem for Vector- and Hypercomplex-Valued Neural Networks
Marcos Eduardo Valle, Wington L. Vital, Guilherme Vieira
The universal approximation theorem states that a neural network with one hidden layer can approximate continuous functions on compact sets with any desired precision. This theorem…
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…
Understanding Vector-Valued Neural Networks and Their Relationship with Real and Hypercomplex-Valued Neural Networks
Marcos Eduardo Valle
Despite the many successful applications of deep learning models for multidimensional signal and image processing, most traditional neural networks process data represented by (mul…