Graphon pooling for reducing dimensionality of signals and convolutional operators on graphs
A Parada-Mayorga, Z Wang… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
In this article we propose a pooling approach for convolutional information processing on
graphs relying on the theory of graphons and limits of dense graph sequences. We present …
graphs relying on the theory of graphons and limits of dense graph sequences. We present …
Convolutional filters and neural networks with non commutative algebras
A Parada-Mayorga, L Butler… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
In this paper we introduce and study the algebraic generalization of non commutative
convolutional neural networks. We leverage the theory of algebraic signal processing to …
convolutional neural networks. We leverage the theory of algebraic signal processing to …
Stability of aggregation graph neural networks
In this paper we study the stability properties of aggregation graph neural networks (Agg-
GNNs) considering perturbations of the underlying graph. An Agg-GNN is a hybrid …
GNNs) considering perturbations of the underlying graph. An Agg-GNN is a hybrid …
Convolutional Filtering with RKHS Algebras
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 …
neural networks for Reproducing Kernel Hilbert Spaces (RKHS). Leveraging the theory of …
Non Commutative Convolutional Signal Models in Neural Networks: Stability to Small Deformations
A Parada-Mayorga, L Butler… - ICASSP 2024-2024 IEEE …, 2024 - ieeexplore.ieee.org
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 …
(ASMs) based on non commutative algebras and their use in convolutional neural networks …
Sampling and Uniqueness Sets in Graphon Signal Processing
A Parada-Mayorga, A Ribeiro - arXiv preprint arXiv:2401.06279, 2024 - arxiv.org
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 …
leveraging the theory of graphons and graph limits. To this end, we extend to graphon …