Daniel M. Kane

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cs.DS2025

Efficient Multivariate Robust Mean Estimation Under Mean-Shift Contamination

Ilias Diakonikolas, Giannis Iakovidis, Daniel M. Kane +1

We study the algorithmic problem of robust mean estimation of an identity covariance Gaussian in the presence of mean-shift contamination. In this contamination model, we are given…

cs.DS2025

Entangled Mean Estimation in High-Dimensions

Ilias Diakonikolas, Daniel M. Kane, Sihan Liu +1

We study the task of high-dimensional entangled mean estimation in the subset-of-signals model. Specifically, given $N$ independent random points $x_{1}, \dots, x_{N}$ in $R^{D}$ …

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…