26 citations · 61 across the 15 of their papers we have counts for
4 papers · 1 filter
Stability of Algebraic Neural Networks to Small Perturbations
Alejandro Parada-Mayorga, Alejandro Ribeiro
Algebraic neural networks (AlgNNs) are composed of a cascade of layers each one associated to and algebraic signal model, and information is mapped between layers by means of a non…
Quiver Signal Processing (QSP)
Alejandro Parada-Mayorga, Hans Riess, Alejandro Ribeiro +1
In this paper we state the basics for a signal processing framework on quiver representations. A quiver is a directed graph and a quiver representation is an assignment of vector s…
Algebraic Neural Networks: Stability to Deformations
Alejandro Parada-Mayorga, Alejandro Ribeiro
We study algebraic neural networks (AlgNNs) with commutative algebras which unify diverse architectures such as Euclidean convolutional neural networks, graph neural networks, and…
Graphon Pooling in Graph Neural Networks
Alejandro Parada-Mayorga, Luana Ruiz, Alejandro Ribeiro
Graph neural networks (GNNs) have been used effectively in different applications involving the processing of signals on irregular structures modeled by graphs. Relying on the use…