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Differential Privacy of Noisy (S)GD under Heavy-Tailed Perturbations
March 5, 2024, 3:12 p.m. | Umut \c{S}im\c{s}ekli, Mert G\"urb\"uzbalaban, Sinan Y{\i}ld{\i}r{\i}m, Lingjiong Zhu
cs.CR updates on arXiv.org arxiv.org
Abstract: Injecting heavy-tailed noise to the iterates of stochastic gradient descent (SGD) has received increasing attention over the past few years. While various theoretical properties of the resulting algorithm have been analyzed mainly from learning theory and optimization perspectives, their privacy preservation properties have not yet been established. Aiming to bridge this gap, we provide differential privacy (DP) guarantees for noisy SGD, when the injected noise follows an $\alpha$-stable distribution, which includes a spectrum of heavy-tailed …
algorithm arxiv attention cs.cr cs.lg differential privacy math.st noise noisy optimization perspectives preservation privacy stat.ml stat.th theory under
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