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Neural Networks on Symmetric Spaces of Noncompact Type
Xuan Son Nguyen, Shuo Yang, Aymeric Histace
Recent works have demonstrated promising performances of neural networks on hyperbolic spaces and symmetric positive definite (SPD) manifolds. These spaces belong to a family of Ri…
Siegel Neural Networks
Xuan Son Nguyen, Aymeric Histace, Nistor Grozavu
Riemannian symmetric spaces (RSS) such as hyperbolic spaces and symmetric positive definite (SPD) manifolds have become popular spaces for representation learning. In this paper, w…
Matrix Manifold Neural Networks++
Xuan Son Nguyen, Shuo Yang, Aymeric Histace
Deep neural networks (DNNs) on Riemannian manifolds have garnered increasing interest in various applied areas. For instance, DNNs on spherical and hyperbolic manifolds have been d…