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Private Rank Aggregation in Central and Local Models

AAAI 2022 · Federated learning and privacy › Differential privacy · approach: Differentially private clustering · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use KwikSort's O(m log m) pairwise queries rather than noising all pairwise entriesCentral pure-DP rank aggregation · Kemeny rank aggregationadditive error: \frac{m^4}{\epsilon n} -> \frac{m^3\log m}{\epsilon n}Helped
Use KwikSort's O(m log m) pairwise queries rather than noising all pairwise entriesCentral approximate-DP rank aggregation · Kemeny rank aggregationadditive error: \frac{m^3}{\epsilon n}\sqrt{\log \frac{1}{\delta}} -> \frac{m^{2.5}\sqrt{\log m}}{\epsilon n}\sqrt{\log \frac{1}{\delta}Helped
Use KwikSort's O(m log m) pairwise queries rather than estimating all pairwise weightsLocal pure-DP rank aggregation · Kemeny rank aggregationadditive error: \frac{m^3}{\epsilon\sqrt{n}} -> \frac{m^{2.5}\log m}{\epsilon\sqrt{n}}Helped
Trade the near-optimal approximation ratio for query-efficient KwikSortCentral pure-DP rank aggregation · Kemeny rank aggregationapproximation ratio: 1 + ξ -> 5 + ξHurt
Trade the near-optimal approximation ratio for query-efficient KwikSortCentral approximate-DP rank aggregation · Kemeny rank aggregationapproximation ratio: 1 + ξ -> 5 + ξHurt
Trade the near-optimal approximation ratio for query-efficient KwikSortLocal pure-DP rank aggregation · Kemeny rank aggregationapproximation ratio: 1 + ξ -> 5 + ξHurt

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