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Date
2023Type
- Conference Paper
ETH Bibliography
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. Show more
Publication status
publishedExternal links
Book title
ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)Pages / Article No.
Publisher
IEEEEvent
Subject
Graph signal processing; Directed acyclic graphs; Möbius inversion; Total variation denoisingOrganisational unit
03893 - Püschel, Markus / Püschel, Markus
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ETH Bibliography
yes
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