Research map / Federated learning and privacy / Differential privacy
Improving the Gaussian Mechanism for Differential Privacy: Analytical Calibration and Optimal Denoising
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace classical Gaussian tail-bound calibration with numerical calibration using the Gaussian CDF | Gaussian mechanism · Gaussian noise calibration | noise variance: 1.4 | Helped |
| Use analytic calibration instead of classical calibration | Gaussian mechanism · Gaussian noise calibration | noise variance | Helped |
| Add James-Stein denoising | Analytic Gaussian mechanism · Private mean estimation | L2 error | Helped |
| Add soft-thresholding denoising | Analytic Gaussian mechanism · Private mean estimation | L2 error | Helped |
| Use James-Stein denoising rather than soft-thresholding | Analytic Gaussian mechanism for mean estimation · High-dimensional private mean estimation | L2 error | Helped |
| Add denoising to the analytic Gaussian mechanism | Analytic Gaussian mechanism · Private histogram release | L1 error | Helped |
| Use Laplace noise rather than analytic Gaussian noise | Private histogram release · ε = 1 | L1 error | Helped |
| Use analytic Gaussian noise rather than Laplace noise | Private histogram release · Lower ε values | L1 error | Helped |
| Use soft-thresholding rather than James-Stein shrinking | Analytic Gaussian mechanism for histogram release · Sparse private histogram release | L1 error | Helped |
| Apply graph trend filtering rather than wavelet smoothing | Analytic Gaussian mechanism for NYC Taxi heat maps · NYC Taxi heat maps | MSE | Helped |
| Apply denoising as post-processing | Analytic Gaussian mechanism for NYC Taxi heat maps · NYC Taxi heat maps | MSE | Helped |
| Use analytic calibration rather than classical calibration | Gaussian mechanism for NYC Taxi heat maps · NYC Taxi heat maps | MSE | Helped |
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