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

R. Cavoretto; A. De Rossi; S. Mereu

doi:10.2478/caim-2024-0004

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

Communications in Applied and Industrial Mathematics

Volume 15 (2024): Issue 1 (January 2024)

By: R. Cavoretto, A. De Rossi and S. Mereu

Open Access

|Jul 2024

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.

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Articles in this issue

DOI: https://doi.org/10.2478/caim-2024-0004 | Journal eISSN: 2038-0909

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Language: English

Page range: 66 - 85

Submitted on: May 31, 2024

Accepted on: Jun 11, 2024

Published on: Jul 17, 2024

Published by: Italian Society for Applied and Industrial Mathemathics

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Graph Interpolation,

Kernel Methods,

Graph Basis Functions,

Partition of Unity Methods,

Approximation Algorithms

Related subjects:

Mathematics,

Numerical and computational mathematics,

Applied mathematics

© 2024 R. Cavoretto, A. De Rossi, S. Mereu, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 15 (2024): Issue 1 (January 2024)