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Differentially Private Set Union

ICML 2020 · Federated learning and privacy › Differential privacy · approach: Differentially private clustering · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace count-based histogram (each item +1 per user) with dependent update policy (l1-DESCENT) plus Laplace noise (POLICY LAPLACE)DPSU histogram construction · Reddit unigrams, eps=3, delta=exp(-10)unigrams released: about 2-4x larger output than count/weighted baselinesHelped
Use l2-DESCENT update policy with Gaussian noise (POLICY GAUSSIAN) instead of baselinesDPSU histogram construction · Reddit unigrams, eps=3, delta=exp(-10)unigrams released: up to 17113 vs 8996 for best weighted GaussianHelped
Increase user contribution bound Delta0 from 1 to 50 for POLICY LAPLACE (ablation)POLICY LAPLACE · Reddit unigrams, eps=3unigrams released: 4482 at Delta0=1 to 15268 at Delta0=50Helped
Increase Delta0 beyond 50 for POLICY LAPLACE (ablation)POLICY LAPLACE · Reddit unigrams, eps=3unigrams released: 15268 at Delta0=50 down to 13870 at Delta0=300Hurt
Increase Delta0 from 1 to 100 for POLICY GAUSSIAN (ablation)POLICY GAUSSIAN · Reddit unigrams, eps=3unigrams released: 3169 at Delta0=1 to 16954 at Delta0=100Helped
Increase Delta0 for WEIGHTED GAUSSIAN from 1 to 100 (ablation)WEIGHTED GAUSSIAN baseline · Reddit unigrams, eps=3unigrams released: 3194 at Delta0=1 to 8996 at Delta0=100Helped
Increase Delta0 for WEIGHTED LAPLACE from 1 to 300 (ablation)WEIGHTED LAPLACE baseline · Reddit unigrams, eps=3unigrams released: 4479 at Delta0=1 declines to 3648 at Delta0=300Mixed
Increase Delta0 for COUNT LAPLACE from 1 to 300 (ablation)COUNT LAPLACE baseline · Reddit unigrams, eps=3unigrams released: 4484 at Delta0=1 to 647 at Delta0=300Hurt
Use l1 vs l2 contractive policy: POLICY GAUSSIAN outperforms POLICY LAPLACE at the best Delta0 (ablation)DPSU update policy and noise type · Reddit unigrams, eps=3, delta=exp(-10)unigrams released: 16954 (Gaussian, Delta0=100) vs 15268 (Laplace, Delta0=50)Helped

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