The application of the Partition of Unity Method (PUM) to signal approximation on graphs represents a recent advancement of this versatile and efficient interpolation technique. Given the novelty of this approach, little is yet known regarding the role of kernel parameters employed in constructing the associated Graph Basis Functions (GBFs). In order to shed light on this aspect, this study proposes several numerical tests obtained using GBFs generated by heat kernels and variational spline kernels.

Exploration of Kernel Parameters in Signal GBF-PUM Approximation on Graphs

Cavoretto, R.;De Rossi, A.;
2024-01-01

Abstract

The application of the Partition of Unity Method (PUM) to signal approximation on graphs represents a recent advancement of this versatile and efficient interpolation technique. Given the novelty of this approach, little is yet known regarding the role of kernel parameters employed in constructing the associated Graph Basis Functions (GBFs). In order to shed light on this aspect, this study proposes several numerical tests obtained using GBFs generated by heat kernels and variational spline kernels.
2024
15
1
66
85
Graph Interpolation; Kernel Methods; Graph Basis Functions; Partition of Unity Methods; Approximation Algorithms
Cavoretto, R.; De Rossi, A.; Mereu, S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/2020191
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