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On Sparse Linear Regression in the Local Differential Privacy Model

ICML 2019 · Federated learning and privacy › Differential privacy · approach: Local-DP and private estimation · 44 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Keep labels-only privacy (Label-LDP-IHT) instead of whole-dataset LDPSparse linear regression under LDP · Synthetic data, varying dimensionality prelative error ||θ_T-θ*||/||θ*||No clear effect
Increase privacy parameter epsilon (weaker privacy)Label-LDP-IHT · Synthetic data, varying privacy levelrelative errorHelped
Increase sparsity level s*l0-constrained logistic regression DP-IHT · Covertypeoptimality gapHurt
Decrease privacy parameter epsilon (stronger privacy)DP-IHT logistic regression · Covertypeoptimality gapHurt
Increase dimensionality p with fixed s and epsilonDP-IHT logistic regression · Covertypeoptimality gapNo clear effect
Label-privacy version (Label-LDP-IHT) vs whole-dataset privacy: error logarithmic vs polynomial in pSparse linear regression under LDP · theoryestimation error dependence on pHelped

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