no code implementations • 31 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.
no code implementations • 21 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 $\Sigma$.
no code implementations • 24 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 $k^*\le \min(n, m)$.
no code implementations • 5 Apr 2022 • Amir-Hossein Bateni, Arshak Minasyan, Arnak S. Dalalyan
We study the problem of robust estimation of the mean vector of a sub-Gaussian distribution.
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.
no code implementations • 4 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