Distributed adaptive learning of signals defined over graphs

The goal of this paper is to propose adaptive strategies for distributed learning of signals defined over graphs. Assuming the graph signal to be band-limited, the method enables distributed adaptive reconstruction from a limited number of sampled observations taken from a subset of vertices. A detailed mean square analysis is carried out and illustrates the role played by the sampling strategy on the performance of the proposed method. Finally, a distributed selection strategy for the sampling set is provided. Several numerical results validate our methodology, and illustrate the performance of the proposed algorithm for distributed adaptive learning of graph signals. © 2016 IEEE.