no code implementations • 16 Jun 2021 • Ilias Diakonikolas, Daniel M. Kane, Daniel Kongsgaard, Jerry Li, Kevin Tian
We leverage this result, together with additional techniques, to obtain the first almost-linear time algorithms for clustering mixtures of $k$ separated well-behaved distributions, nearly-matching the statistical guarantees of spectral methods.
no code implementations • NeurIPS 2021 • Ilias Diakonikolas, Daniel M. Kane, Daniel Kongsgaard, Jerry Li, Kevin Tian
Our algorithm runs in time $\widetilde{O}(ndk)$ for all $k = O(\sqrt{d}) \cup \Omega(d)$, where $n$ is the size of the dataset.
no code implementations • NeurIPS 2020 • Ilias Diakonikolas, Daniel M. Kane, Daniel Kongsgaard
We study the problem of {\em list-decodable mean estimation} for bounded covariance distributions.