Search Results for author: Daniel Kongsgaard

Found 3 papers, 0 papers with code

Clustering Mixture Models in Almost-Linear Time via List-Decodable Mean Estimation

no code implementations16 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.

Clustering

List-Decodable Mean Estimation in Nearly-PCA Time

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.

Clustering

List-Decodable Mean Estimation via Iterative Multi-Filtering

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.

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