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arXiv · 2502.19821

Constructing Stochastic Matrices for Weighted Averaging in Gossip Networks

Erkan Bayram·Mohamed-Ali Belabbas
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Abstract

The convergence of the gossip process has been extensively studied; however, algorithms that generate a set of stochastic matrices, the infinite product of which converges to a rank-one matrix determined by a given weight vector, have been less explored. In this work, we propose an algorithm for constructing (local) stochastic matrices based on a given gossip network topology and a set of weights for averaging across different consensus clusters, ensuring that the gossip process converges to a finite limit set.

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Erkan Bayram, Mohamed-Ali Belabbas. 2025-02-27. Constructing Stochastic Matrices for Weighted Averaging in Gossip Networks. https://arxiv.org/abs/2502.19821

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