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arXiv · 1705.04379

The Network Nullspace Property for Compressed Sensing of Big Data over Networks

Alexander Jung·Madelon Hulsebos
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Abstract

We present a novel condition, which we term the net- work nullspace property, which ensures accurate recovery of graph signals representing massive network-structured datasets from few signal values. The network nullspace property couples the cluster structure of the underlying network-structure with the geometry of the sampling set. Our results can be used to design efficient sampling strategies based on the network topology.

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Alexander Jung, Madelon Hulsebos. 2018-03-13. The Network Nullspace Property for Compressed Sensing of Big Data over Networks. https://arxiv.org/abs/1705.04379

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