Alexey Kroshnin

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20182025

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math.ST2020

Robust $k$ -means Clustering for Distributions with Two Moments

Yegor Klochkov, Alexey Kroshnin, Nikita Zhivotovskiy

We consider the robust algorithms for the $k$ -means clustering problem where a quantizer is constructed based on $N$ independent observations. Our main results are median of means…

math.ST2019

Statistical inference for Bures-Wasserstein barycenters

Alexey Kroshnin, Vladimir Spokoiny, Alexandra Suvorikova

In this work we introduce the concept of Bures-Wasserstein barycenter $Q_{*}$ , that is essentially a Fréchet mean of some distribution $P$ supported on a subspace of positiv…

Robust k-means Clustering for Distributions with Two Moments

Statistical inference for Bures-Wasserstein barycenters

Robust $k$ -means Clustering for Distributions with Two Moments