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Gavin R Brown

2 accepted papers

2024

Private Gradient Descent for Linear Regression: Tighter Error Bounds and Instance-Specific Uncertainty Estimation

ICML 2024poster

We provide an improved analysis of standard differentially private gradient descent for linear regression under the squared error loss. Under modest assumptions on the input, we characterize the distribution of the iterate at each time step. Our analysis leads to new results on the algorithm's accur…

Cited by 5SourcePDFScholar
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