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Graph Neural Networks for Community Detection in Graph Signal Analysis
Roberto Cavoretto, Alessandra De Rossi, Enrico Montini
Community detection is a central problem in graph analysis, with applications ranging from network science to graph signal processing. In recent years, Graph Neural Networks (GNNs)…
Nonsingularity of unsymmetric Kansa matrices: random collocation by MultiQuadrics and Inverse MultiQuadrics
R. Cavoretto, F. Dell'Accio, A. De Rossi +2
Unisolvence of unsymmetric Kansa collocation is still a substantially open problem. We prove that Kansa matrices with MultiQuadrics and Inverse MultiQuadrics for the Dirichlet prob…
Node-Bound Communities for Partition of Unity Interpolation on Graphs
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti +1
Graph signal processing benefits significantly from the direct and highly adaptable supplementary techniques offered by partition of unity methods (PUMs) on graphs. In our approach…
Bayesian Approach for Radial Kernel Parameter Tuning
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti
In this paper we present a new fast and accurate method for Radial Basis Function (RBF) approximation, including interpolation as a special case, which enables us to effectively fi…
Node-Binded Communities for Interpolation on Graphs
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti +1
Partition of unity methods (PUMs) on graphs represent straightforward and remarkably adaptable auxiliary techniques for graph signal processing. By relying solely on the intrinsic…
Parameter Tuning in the Radial Kernel-Based Partition of Unity Method by Bayesian Optimization
Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti +1
In this paper, we employ Bayesian optimization to concurrently explore the optimal values for both the shape parameter and the radius in the partition of unity interpolation using…