English

Analysis of a Reduced-Communication Diffusion LMS Algorithm

Distributed, Parallel, and Cluster Computing 2014-12-08 v2 Machine Learning Systems and Control Optimization and Control

Abstract

In diffusion-based algorithms for adaptive distributed estimation, each node of an adaptive network estimates a target parameter vector by creating an intermediate estimate and then combining the intermediate estimates available within its closed neighborhood. We analyze the performance of a reduced-communication diffusion least mean-square (RC-DLMS) algorithm, which allows each node to receive the intermediate estimates of only a subset of its neighbors at each iteration. This algorithm eases the usage of network communication resources and delivers a trade-off between estimation performance and communication cost. We show analytically that the RC-DLMS algorithm is stable and convergent in both mean and mean-square senses. We also calculate its theoretical steady-state mean-square deviation. Simulation results demonstrate a good match between theory and experiment.

Keywords

Cite

@article{arxiv.1408.5845,
  title  = {Analysis of a Reduced-Communication Diffusion LMS Algorithm},
  author = {Reza Arablouei and Stefan Werner and Kutluyıl Doğançay and Yih-Fang Huang},
  journal= {arXiv preprint arXiv:1408.5845},
  year   = {2014}
}
R2 v1 2026-06-22T05:39:01.673Z