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Improving the Gaussian Mechanism for Differential Privacy: Analytical Calibration and Optimal Denoising

ICML 2018 · Federated learning and privacy › Differential privacy · approach: Privacy accounting and mechanisms · 77 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace classical Gaussian tail-bound calibration with numerical calibration using the Gaussian CDFGaussian mechanism · Gaussian noise calibrationnoise variance: 1.4Helped
Use analytic calibration instead of classical calibrationGaussian mechanism · Gaussian noise calibrationnoise varianceHelped
Add James-Stein denoisingAnalytic Gaussian mechanism · Private mean estimationL2 errorHelped
Add soft-thresholding denoisingAnalytic Gaussian mechanism · Private mean estimationL2 errorHelped
Use James-Stein denoising rather than soft-thresholdingAnalytic Gaussian mechanism for mean estimation · High-dimensional private mean estimationL2 errorHelped
Add denoising to the analytic Gaussian mechanismAnalytic Gaussian mechanism · Private histogram releaseL1 errorHelped
Use Laplace noise rather than analytic Gaussian noisePrivate histogram release · ε = 1L1 errorHelped
Use analytic Gaussian noise rather than Laplace noisePrivate histogram release · Lower ε valuesL1 errorHelped
Use soft-thresholding rather than James-Stein shrinkingAnalytic Gaussian mechanism for histogram release · Sparse private histogram releaseL1 errorHelped
Apply graph trend filtering rather than wavelet smoothingAnalytic Gaussian mechanism for NYC Taxi heat maps · NYC Taxi heat mapsMSEHelped
Apply denoising as post-processingAnalytic Gaussian mechanism for NYC Taxi heat maps · NYC Taxi heat mapsMSEHelped
Use analytic calibration rather than classical calibrationGaussian mechanism for NYC Taxi heat maps · NYC Taxi heat mapsMSEHelped

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