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cs.LG2024
Convolutional Filtering with RKHS Algebras
Alejandro Parada-Mayorga, Leopoldo Agorio, Alejandro Ribeiro +1
In this paper, we develop a generalized theory of convolutional signal processing and neural networks for Reproducing Kernel Hilbert Spaces (RKHS). Leveraging the theory of algebra…
cs.LG2024
Sampling and Uniqueness Sets in Graphon Signal Processing
Alejandro Parada-Mayorga, Alejandro Ribeiro
In this work, we study the properties of sampling sets on families of large graphs by leveraging the theory of graphons and graph limits. To this end, we extend to graphon signals…
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…