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cs.DS2023
Near-Optimal Algorithms for Gaussians with Huber Contamination: Mean Estimation and Linear Regression
Ilias Diakonikolas, Daniel M. Kane, Ankit Pensia +1
We study the fundamental problems of Gaussian mean estimation and linear regression with Gaussian covariates in the presence of Huber contamination. Our main contribution is the de…
cs.DS2023
Testing Closeness of Multivariate Distributions via Ramsey Theory
Ilias Diakonikolas, Daniel M. Kane, Sihan Liu
We investigate the statistical task of closeness (or equivalence) testing for multidimensional distributions. Specifically, given sample access to two unknown distributions $\mathb…