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Optimal Differentially Private Ranking from Pairwise Comparisons

math.ST · 2025-07-12 · conditional · novelty 7.0

Differentially private top-k ranking from pairwise comparisons is minimax optimal, with exact rates sqrt(log n/(np)) + log n/(npε) under edge DP and sqrt(n log n/m) + n log n/(mε) under individual DP.

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  • Optimal Differentially Private Ranking from Pairwise Comparisons math.ST · 2025-07-12 · conditional · none · ref 6

    Differentially private top-k ranking from pairwise comparisons is minimax optimal, with exact rates sqrt(log n/(np)) + log n/(npε) under edge DP and sqrt(n log n/m) + n log n/(mε) under individual DP.