The Network Nullspace Property for Compressed Sensing of Big Data Over Networks
Madelon Hulsebos, Alexander Jung · 2018
We present a novel condition, which we term the network 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.