Non asymptotic bounds in asynchronous sum-weight gossip protocols

David Picard; Jérôme Fellus; Stéphane Garnier

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arXiv · 2111.10248

Non asymptotic bounds in asynchronous sum-weight gossip protocols

David Picard·Jérôme Fellus·Stéphane Garnier

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Abstract

This paper focuses on non-asymptotic diffusion time in asynchronous gossip protocols. Asynchronous gossip protocols are designed to perform distributed computation in a network of nodes by randomly exchanging messages on the associated graph. To achieve consensus among nodes, a minimal number of messages has to be exchanged. We provides a probabilistic bound to such number for the general case. We provide a explicit formula for fully connected graphs depending only on the number of nodes and an approximation for any graph depending on the spectrum of the graph.

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BibTeX RIS

David Picard, Jérôme Fellus, Stéphane Garnier. 2021-11-19. Non asymptotic bounds in asynchronous sum-weight gossip protocols. https://arxiv.org/abs/2111.10248

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