Preprint Open access
Differential Privacy of Gradient Descent on Perturbed Objectives
Objective perturbation adds a random linear term to a regularized empirical risk and releases the exact perturbed minimizer. We study the finite computation obtained by releasing the $N$-th iterate of deterministic gradient descent on $w\mapsto F(w;S)+\langle z,w\rangle$, where $z\sim\mathcal N(0,σ^2I_d)$ is drawn once …