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Smoothing complex-valued signals on Graphs with Monte-Carlo

15 October 2022
Hugo Jaquard
Michaël Fanuel
P. Amblard
Rémi Bardenet
Simon Barthelmé
Nicolas M Tremblay
ArXiv (abs)PDFHTML
Abstract

We introduce new smoothing estimators for complex signals on graphs, based on a recently studied Determinantal Point Process (DPP). These estimators are built from subsets of edges and nodes drawn according to this DPP, making up trees and unicycles, i.e., connected components containing exactly one cycle. We provide a Julia implementation of these estimators and study their performance when applied to a ranking problem.

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