13 citations · 19 across the 7 of their papers we have counts for
7 papers · 1 filter
Exact Permutation Recovery Under Unknown Scalar Affine Transformation
Tigran Galstyan, Avetik Karagulyan, Arshak Minasyan
We study the problem of matching two sets of noisy feature vectors when underlying true features are related by an unknown scalar affine transformation. Our method comprises two pr…
Statistically Optimal Generative Modeling with Maximum Deviation from the Empirical Distribution
Elen Vardanyan, Sona Hunanyan, Tigran Galstyan +2
This paper explores the problem of generative modeling, aiming to simulate diverse examples from an unknown distribution based on observed examples. While recent studies have focus…
Statistically Optimal Robust Mean and Covariance Estimation for Anisotropic Gaussians
Arshak Minasyan, Nikita Zhivotovskiy
Assume that is an -contaminated sample of independent Gaussian vectors in with mean and covariance . In the strong $\v…
Matching Map Recovery with an Unknown Number of Outliers
Arshak Minasyan, Tigran Galstyan, Sona Hunanyan +1
We consider the problem of finding the matching map between two sets of -dimensional noisy feature-vectors. The distinctive feature of our setting is that we do not assume that…
Nearly minimax robust estimator of the mean vector by iterative spectral dimension reduction
Amir-Hossein Bateni, Arshak Minasyan, Arnak S. Dalalyan
We study the problem of robust estimation of the mean vector of a sub-Gaussian distribution. We introduce an estimator based on spectral dimension reduction (SDR) and establish a f…
Optimal detection of the feature matching map in presence of noise and outliers
Tigran Galstyan, Arshak Minasyan, Arnak Dalalyan
We consider the problem of finding the matching map between two sets of dimensional vectors from noisy observations, where the second set contains outliers. The matching map is…
All-In-One Robust Estimator of the Gaussian Mean
Arnak S. Dalalyan, Arshak Minasyan
The goal of this paper is to show that a single robust estimator of the mean of a multivariate Gaussian distribution can enjoy five desirable properties. First, it is computational…