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Lydia Zakynthinou

7 accepted papers

2024

Dimension-free Private Mean Estimation for Anisotropic Distributions

NeurIPS 2024poster

We present differentially private algorithms for high-dimensional mean estimation. Previous private estimators on distributions over $\mathbb{R}^d$ suffer from a curse of dimensionality, as they require $\Omega(d^{1/2})$ samples to achieve non-trivial error, even in cases where $O(1)$ samples suffic…

Cited by 2SourcePDFScholar
2021

Covariance-Aware Private Mean Estimation Without Private Covariance Estimation

NeurIPS 2021spotlight

We present two sample-efficient differentially private mean estimators for $d$-dimensional (sub)Gaussian distributions with unknown covariance. Informally, given $n \gtrsim d/\alpha^2$ samples from such a distribution with mean $\mu$ and covariance $\Sigma$, our estimators output $\tilde\mu$ such th…

Cited by 75SourcePDFScholar
2021

Differentially Private Decomposable Submodular Maximization

AAAI 2021technical

We study the problem of differentially private constrained maximization of decomposable submodular functions. A submodular function is decomposable if it takes the form of a sum of submodular functions. The special case of maximizing a monotone, decomposable submodular function under cardinality con…

2020

Private Identity Testing for High-Dimensional Distributions

NeurIPS 2020spotlight

In this work we present novel differentially private identity (goodness-of-fit) testers for natural and widely studied classes of multivariate product distributions: Gaussians in R^d with known covariance and product distributions over {\pm 1}^d. Our testers have improved sample complexity compared…

Cited by 51SourcePDFScholar