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cs.LG2023
Non Commutative Convolutional Signal Models in Neural Networks: Stability to Small Deformations
Alejandro Parada-Mayorga, Landon Butler, Alejandro Ribeiro
In this paper we discuss the results recently published in~[1] about algebraic signal models (ASMs) based on non commutative algebras and their use in convolutional neural networks…
eess.SP2023
Lie Group Algebra Convolutional Filters
Harshat Kumar, Alejandro Parada-Mayorga, Alejandro Ribeiro
In this paper we propose a framework to leverage Lie group symmetries on arbitrary spaces exploiting \textit{algebraic signal processing} (ASP). We show that traditional group conv…