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cs.AI2023
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…
cs.LG2023★ 7 cited
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…