Differentially private algorithms can generate multiple samples from a distribution with sample complexity that improves over repeated single-sampling, including the first pure-DP Gaussian samplers.
Differentially private clustering: Tight approximation ratios
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Differentially Private Multi-Sampling from Distributions
Differentially private algorithms can generate multiple samples from a distribution with sample complexity that improves over repeated single-sampling, including the first pure-DP Gaussian samplers.