192 citations · 1.1k across the 46 of their papers we have counts for
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math.ST2020★ 13 cited
Statistical guarantees for generative models without domination
Nicolas Schreuder, Victor-Emmanuel Brunel, Arnak Dalalyan
In this paper, we introduce a convenient framework for studying (adversarial) generative models from a statistical perspective. It consists in modeling the generative device as a s…
math.ST2020★ 1 cited
Penalized Langevin dynamics with vanishing penalty for smooth and log-concave targets
Avetik Karagulyan, Arnak S. Dalalyan
We study the problem of sampling from a probability distribution on defined via a convex and smooth potential function. We consider a continuous-time diffusion-type p…
math.ST2020★ 13 cited
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…