Search Results for author: Arshak Minasyan

Found 6 papers, 0 papers with code

Guaranteed Optimal Generative Modeling with Maximum Deviation from the Empirical Distribution

no code implementations31 Jul 2023 Elen Vardanyan, Arshak Minasyan, Sona Hunanyan, Tigran Galstyan, Arnak Dalalyan

Generative modeling is a widely-used machine learning method with various applications in scientific and industrial fields.

Statistically Optimal Robust Mean and Covariance Estimation for Anisotropic Gaussians

no code implementations21 Jan 2023 Arshak Minasyan, Nikita Zhivotovskiy

Assume that $X_{1}, \ldots, X_{N}$ is an $\varepsilon$-contaminated sample of $N$ independent Gaussian vectors in $\mathbb{R}^d$ with mean $\mu$ and covariance $\Sigma$.

Matching Map Recovery with an Unknown Number of Outliers

no code implementations24 Oct 2022 Arshak Minasyan, Tigran Galstyan, Sona Hunanyan, Arnak Dalalyan

If $n$ and $m$ are the sizes of these two sets, we assume that the matching map that should be recovered is defined on a subset of unknown cardinality $k^*\le \min(n, m)$.

Optimal detection of the feature matching map in presence of noise and outliers

no code implementations NeurIPS 2021 Tigran Galstyan, Arshak Minasyan, Arnak Dalalyan

The matching map is then an injection, which can be consistently estimated only if the vectors of the second set are well separated.

All-In-One Robust Estimator of the Gaussian Mean

no code implementations4 Feb 2020 Arnak S. Dalalyan, Arshak Minasyan

It is the first result of this kind in the literature and involves only the effective rank of the covariance matrix.

Statistics Theory Statistics Theory

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