Greedy gossip with eavesdropping

TitleGreedy gossip with eavesdropping
Publication TypeJournal Article
Year of Publication2010
AuthorsÜstebay, D., B. N. Oreshkin, M. J. Coates, and M. G. Rabbat
JournalIEEE Transactions on Signal Processing
Volume58
Issue7
Pagination3765 - 3776
Date PublishedJuly 2010
Accession Number11432901
KeywordsApplications of sensor networks, average consensus, distributed signal processing, gossip algorithms
Abstract

This paper presents greedy gossip with eavesdropping (GGE), a novel randomized gossip algorithm for distributed computation of the average consensus problem. In gossip algorithms, nodes in the network randomly communicate with their neighbors and exchange information iteratively. The algorithms are simple and decentralized, making them attractive for wireless network applications. In general, gossip algorithms are robust to unreliable wireless conditions and time varying network topologies. In this paper, we introduce GGE and demonstrate that greedy updates lead to rapid convergence. We do not require nodes to have any location information. Instead, greedy updates are made possible by exploiting the broadcast nature of wireless communications. During the operation of GGE, when a node decides to gossip, instead of choosing one of its neighbors at random, it makes a greedy selection, choosing the node which has the value most different from its own. In order to make this selection, nodes need to know their neighbors' values. Therefore, we assume that all transmissions are wireless broadcasts and nodes keep track of their neighbors' values by eavesdropping on their communications. We show that the convergence of GGE is guaranteed for connected network topologies. We also study the rates of convergence and illustrate, through theoretical bounds and numerical simulations, that GGE consistently outperforms randomized gossip and performs comparably to geographic gossip on moderate-sized random geometric graph topologies.

DOI10.1109/TSP.2010.2046593
AttachmentSize
GGE_one_column.pdf882.07 KB