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Datum
2023Typ
- Conference Paper
ETH Bibliographie
yes
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Abstract
We propose a novel definition of total variation (TV) specifically defined for directed acyclic graphs (DAGs). It is a generalization of the classical definition for discrete-time signals (noting that discrete-time is a DAG) and obtained by inverting an integration operator on DAGs, leveraging the theory of Möbius inversion from combinatorics. We demonstrate the performance of our Möbius TV against prior TV definitions when used for denoising a set of real-world DAG signals. Mehr anzeigen
Publikationsstatus
publishedExterne Links
Buchtitel
ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)Seiten / Artikelnummer
Verlag
IEEEKonferenz
Thema
Graph signal processing; Directed acyclic graphs; Möbius inversion; Total variation denoisingOrganisationseinheit
03893 - Püschel, Markus / Püschel, Markus
ETH Bibliographie
yes
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