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On the impact of downstream tasks on sampling and reconstructing noisy graph signals

Abstract:
We investigate graph signal reconstruction and sample selection for classification tasks. We present general theoretical characterisations of classification error applicable to multiple commonly used reconstruction methods, and compare that to the classical reconstruction error. We demonstrate the applicability of our results by using them to derive new optimal sampling methods for linearized graph convolutional networks, and show improvement over other graph signal processing based methods.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1109/camsap66162.2025.11423962

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Oxford college:
Lady Margaret Hall
Role:
Author
ORCID:
0000-0002-1143-9786
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author


Publisher:
IEEE
Host title:
2025 IEEE 10th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
Pages:
111-115
Publication date:
2026-03-12
Event title:
10th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP 2025)
Event location:
Dominican Republic
Event website:
https://camsap25.ig.umons.ac.be/
Event start date:
2025-12-14
Event end date:
2025-12-17
DOI:
EISSN:
2994-8983
ISSN:
2994-8991
EISBN:
9798331526696
ISBN:
9798331526702

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