26 citations · 61 across the 15 of their papers we have counts for
5 papers · 1 filter
Graphon Pooling for Reducing Dimensionality of Signals and Convolutional Operators on Graphs
Alejandro Parada-Mayorga, Zhiyang Wang, Alejandro Ribeiro
In this paper 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 thr…
Algebraic Convolutional Filters on Lie Group Algebras
Harshat Kumar, Alejandro Parada-Mayorga, Alejandro Ribeiro
Group convolutional neural networks are a useful tool for utilizing symmetries known to be in a signal; however, they require that the signal is defined on the group itself. Existi…
Learning with Multigraph Convolutional Filters
Landon Butler, Alejandro Parada-Mayorga, Alejandro Ribeiro
In this paper, we introduce a convolutional architecture to perform learning when information is supported on multigraphs. Exploiting algebraic signal processing (ASP), we propose…
Convolutional Learning on Multigraphs
Landon Butler, Alejandro Parada-Mayorga, Alejandro Ribeiro
Graph convolutional learning has led to many exciting discoveries in diverse areas. However, in some applications, traditional graphs are insufficient to capture the structure and…
Stability of Aggregation Graph Neural Networks
Alejandro Parada-Mayorga, Zhiyang Wang, Fernando Gama +1
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 architectu…