A Formal Characterization of Uniform Peer Sampling based on View Shuffling
Résumé
Consider a group of peers, an ideal random peer sampling service should return a peer, which is an unbiased independent random sample of the group. This paper focuses on peer sampling service based on view shuffling (aka gossip-based peer sampling), where each peer is equipped with a local view of size c. This view should correspond to a uniform random sample of size c of the whole system in order to implement correctly a uniform peer sampling service. To this aim, pairs of peers regularly and continuously swap a part of their local views (shuf?ing operation). The paper provides a proof that (i) starting from any non-uniform distribution of peers in the peers? local views, after a sequence of pairwise shuf?e operations, each local view eventually represents a uniform sample of size c and (ii) once previous property holds, any successive sequence of shuffle operations does not modify this uniformity property
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