Optimal Differentially Private Sampling of Unbounded Gaussians

March 03, 2025 Β· Declared Dead Β· πŸ› Annual Conference Computational Learning Theory

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Authors Valentio Iverson, Gautam Kamath, Argyris Mouzakis arXiv ID 2503.01766 Category cs.DS: Data Structures & Algorithms Cross-listed cs.CR, cs.IT, cs.LG, stat.ML Citations 1 Venue Annual Conference Computational Learning Theory Last Checked 4 months ago
Abstract
We provide the first $\widetilde{\mathcal{O}}\left(d\right)$-sample algorithm for sampling from unbounded Gaussian distributions under the constraint of $\left(\varepsilon, Ξ΄\right)$-differential privacy. This is a quadratic improvement over previous results for the same problem, settling an open question of Ghazi, Hu, Kumar, and Manurangsi.
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