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conference paper

Generalised Implicit Neural Representations

Grattarola, Daniele  
•
Vandergheynst, Pierre  
2022
[Proceedings of NeurIPS 2022]
36th Conference on Neural Information Processing Systems (NeurIPS 2022)

We consider the problem of learning implicit neural representations (INRs) for signals on non-Euclidean domains. In the Euclidean case, INRs are trained on a discrete sampling of a signal over a regular lattice. Here, we assume that the continuous signal exists on some unknown topological space from which we sample a discrete graph. In the absence of a coordinate system to identify the sampled nodes, we propose approximating their location with a spectral embedding of the graph. This allows us to train INRs without knowing the underlying continuous domain, which is the case for most graph signals in nature, while also making the INRs independent of any choice of coordinate system. We show experiments with our method on various real-world signals on non-Euclidean domains.

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Type
conference paper
ArXiv ID

2205.15674

Author(s)
Grattarola, Daniele  
Vandergheynst, Pierre  
Date Issued

2022

Published in
[Proceedings of NeurIPS 2022]
Total of pages

12

Subjects

implicit neural representations

•

neural fields

•

graph theory

•

graph signal processing

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LTS2  
Event nameEvent placeEvent date
36th Conference on Neural Information Processing Systems (NeurIPS 2022)

New Orleans, Louisiana, USA

November 28 - December 9, 2022

Available on Infoscience
January 9, 2023
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/193635
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