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Cited by 52 publications
(55 citation statements)
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“…where ξ, η : Z ≥0 → R n are the sequences of messages and perturbations, respectively, and a I : R n × R n → R n depends on the agents' sensitive information set I with associated optimizer x * I . This formulation is quite general and can also encode algorithmic solutions for optimization problems other than the one in Section III, such as the ones studied in [18], [19]. In the problem of interest here, I = F = {f i } n i=1 .…”
Section: A Limitations Of Message-perturbing Strategiesmentioning
confidence: 99%
“…where ξ, η : Z ≥0 → R n are the sequences of messages and perturbations, respectively, and a I : R n × R n → R n depends on the agents' sensitive information set I with associated optimizer x * I . This formulation is quite general and can also encode algorithmic solutions for optimization problems other than the one in Section III, such as the ones studied in [18], [19]. In the problem of interest here, I = F = {f i } n i=1 .…”
Section: A Limitations Of Message-perturbing Strategiesmentioning
confidence: 99%
“…[22], [23]. However, those results require the assistance of a third party such as a cloud [22], [23], and therefore cannot be applied to the completely decentralized setting where no third parties exist. Encryption-based approaches are also commonly used to enable privacy-preservation [24]- [26].…”
Section: Introductionmentioning
confidence: 99%
“…Some algorithms [28][29][30] insert noise having a geometrically decreasing variance over iterations and guarantee that the inserted noise adds up to zero. Some other algorithms [31][32][33] rely on a trusted third party to obtain the zero-sum property. However, a trusted third party is hard to implement in ad hoc networks including also many WSNs.…”
Section: Introductionmentioning
confidence: 99%