A closed form scale bound for the $(\epsilon ,\delta )$-differentially private Gaussian Mechanism valid for all privacy regimes

Staal A. Vinterbo

The standard closed form lower bound on $\sigma$ for providing $(\epsilon ,\delta )$-differential privacy by adding zero mean Gaussian noise with variance ${\sigma }^2$ is $σ> Δ\sqrt {2}(ε^{-1}) \sqrt {\log…