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math.ST2024
Dimension-free Structured Covariance Estimation
Nikita Puchkin, Maxim Rakhuba
Given a sample of i.i.d. high-dimensional centered random vectors, we consider a problem of estimation of their covariance matrix with an additional assumption that can be…
math.ST2021★ 8 cited
Rates of convergence for density estimation with generative adversarial networks
Nikita Puchkin, Sergey Samsonov, Denis Belomestny +2
In this work we undertake a thorough study of the non-asymptotic properties of the vanilla generative adversarial networks (GANs). We prove an oracle inequality for the Jensen-Shan…