26 citations · 61 across the 15 of their papers we have counts for
19 papers
Fundamental Limits of Transferability and Equivariance in Algebraic Signal Models I: Finite Dimensions
Alejandro Parada-Mayorga
We study the fundamental limits of transferability in algebraic signal processing through homomorphisms between algebraic signal models. Homomorphisms are linear maps between the s…
RKHS Representation of Algebraic Convolutional Filters with Integral Operators
Alejandro Parada-Mayorga, Alejandro Ribeiro, Juan Bazerque
Integral operators play a central role in signal processing, underpinning classical convolution, and filtering on continuous network models such as graphons. While these operators…
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…
DiffKillR: Killing and Recreating Diffeomorphisms for Cell Annotation in Dense Microscopy Images
Chen Liu, Danqi Liao, Alejandro Parada-Mayorga +3
The proliferation of digital microscopy images, driven by advances in automated whole slide scanning, presents significant opportunities for biomedical research and clinical diagno…
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…
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…