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Discrete Distribution Estimation under Local Privacy

ICML 2016 · Federated learning and privacy › Differential privacy · approach: Local-DP and private estimation · 210 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use projected decoder instead of ML/normalized decoder for k-RR (ablation)k-RR · geometric distribution simulationl1 decoding errorHelped
use projected decoder instead of standard/normalized decoder for k-Rappor (ablation)k-Rappor · geometric distribution simulationl1 decoding errorHelped
use normalized decoder instead of projected decoder on a flat Dirichlet distribution (ablation)k-RR and k-Rappor · Dirichlet distribution simulationl1 decoding errorHelped
k-RR versus k-Rappor when k < e^epsilonk-RR · simulations over k and epsilonl1 decoding errorHelped
k-RR versus k-Rappor for large k and low epsilonk-RR · simulations over k and epsilonl1 decoding errorHurt
increase number of usersk-RR advantage over k-Rappor · low privacy simulationsl1 decoding error gapHurt
use more cohorts C (C=1 vs larger) (ablation)O-RR · S=256, n=10^6 geometricmedian l1 lossHelped
use more than one cohort (C>=2) (ablation)O-Rappor · S=256, n=10^6 geometricmedian l1 lossHelped
increase C beyond 2 (ablation)O-Rappor · S=256, n=10^6 geometricmedian l1 lossNo clear effect
increase hash block size k (ablation)O-Rappor · S=256, n=10^6 geometricmedian l1 lossHelped
use more Bloom filter hash functions h (h>1) (ablation)O-Rappor · S=256, n=10^6 geometricmedian l1 lossNo clear effect
replace generic hashes with minimal perfect hash functions for closed alphabets (ablation)O-RR · closed alphabet simulationl1 utilityHelped

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