36 citations · 206 across the 41 of their papers we have counts for
12 papers · 1 filter
Convolutional Filtering on Sampled Manifolds
Zhiyang Wang, Luana Ruiz, Alejandro Ribeiro
The increasing availability of geometric data has motivated the need for information processing over non-Euclidean domains modeled as manifolds. The building block for information…
Tangent Bundle Filters and Neural Networks: from Manifolds to Cellular Sheaves and Back
Claudio Battiloro, Zhiyang Wang, Hans Riess +2
In this work we introduce a convolution operation over the tangent bundle of Riemannian manifolds exploiting the Connection Laplacian operator. We use the convolution to define tan…
Learning Decentralized Strategies for a Perimeter Defense Game with Graph Neural Networks
Elijah S. Lee, Lifeng Zhou, Alejandro Ribeiro +1
We consider the problem of finding decentralized strategies for multi-agent perimeter defense games. In this work, we design a graph neural network-based learning framework to lear…
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…
Predicting Brain Age using Transferable coVariance Neural Networks
Saurabh Sihag, Gonzalo Mateos, Corey McMillan +1
The deviation between chronological age and biological age is a well-recognized biomarker associated with cognitive decline and neurodegeneration. Age-related and pathology-driven…
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…