Proceedings ArticleDOI
Diffusion networks outperform consensus networks
Sheng-Yuan Tu,Ali H. Sayed +1 more
- pp 313-316
TLDR
Diffusion strategies allow information to diffuse more thoroughly through the network, and this property has a favorable effect on the evolution of the network: diffusion networks reach lower mean-square deviation than consensus networks, and their mean- square stability is insensitive to the choice of the combination weights.Abstract:
Adaptive networks consist of a collection of nodes that interact with each other on a local level and diffuse information across the network to solve estimation and inference tasks in a distributed manner. In this work, we compare the performance of two distributed estimation strategies: diffusion and consensus. Diffusion strategies allow information to diffuse more thoroughly through the network. The analysis in the paper confirms that this property has a favorable effect on the evolution of the network: diffusion networks reach lower mean-square deviation than consensus networks, and their mean-square stability is insensitive to the choice of the combination weights. In contrast, consensus networks can become unstable even if all the individual nodes are mean-square stable; this does not occur for diffusion networks: stability of the individual nodes ensures stability of the diffusion network irrespective of the topology.read more
Citations
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Journal ArticleDOI
Diffusion Adaptation Strategies for Distributed Optimization and Learning Over Networks
Jianshu Chen,Ali H. Sayed +1 more
TL;DR: An adaptive diffusion mechanism to optimize global cost functions in a distributed manner over a network of nodes, which endow networks with adaptation abilities that enable the individual nodes to continue learning even when the cost function changes with time.
Journal ArticleDOI
Diffusion strategies for adaptation and learning over networks: an examination of distributed strategies and network behavior
TL;DR: It is shown that it is an extraordinary property of biological networks that sophisticated behavior is able to emerge from simple interactions among lower-level agents.
Journal ArticleDOI
Diffusion Strategies Outperform Consensus Strategies for Distributed Estimation Over Adaptive Networks
Sheng-Yuan Tu,Ali H. Sayed +1 more
TL;DR: It is confirmed that under constant step-sizes, diffusion strategies allow information to diffuse more thoroughly through the network and this property has a favorable effect on the evolution of the network: diffusion networks are shown to converge faster and reach lower mean-square deviation than consensus networks, and their mean- square stability is insensitive to the choice of the combination weights.
Book ChapterDOI
Diffusion adaptation over networks
TL;DR: Adaptive networks are well suited to perform decentralized information processing and optimization tasks and to model various types of self-organized and complex behavior encountered in nature as discussed by the authors, where agents are linked together through a connection topology, and they cooperate with each other through local interactions to solve distributed optimization, estimation, and inference problems in real-time.
Journal ArticleDOI
Performance Limits for Distributed Estimation Over LMS Adaptive Networks
Xiaochuan Zhao,Ali H. Sayed +1 more
TL;DR: This work analyzes the mean-square performance of different strategies for distributed estimation over least-mean-squares (LMS) adaptive networks and establishes that, for sufficiently small step-sizes, diffusion strategies can outperform centralized block or incremental LMS strategies by optimizing over left-stochastic combination weighting matrices.
References
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Ali Jadbabaie,Jie Lin,A.S. Morse +2 more
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Distributed asynchronous deterministic and stochastic gradient optimization algorithms
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