On the Impact of Sample Size in Reconstructing Graph Signals

Baskaran Sripathmanathan, Xiaowen Dong, Michael M. Bronstein

Abstract: Reconstructing a signal on a graph from observations on a subset of the vertices is a fundamental problem in the field of graph signal processing. It is often assumed that adding additional observations to an observation set will reduce the expected reconstruction error. We show that under the setting of noisy observation and least-squares reconstruction this is not always the case, characterising the behaviour both theoretically and experimentally.

Submission Type: Full Paper