Yury Polyanskiy

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math.ST2025

Testing and estimation in orthosymmetric Gaussian sequence model

Zeyu Jia, Yury Polyanskiy

We study the Gaussian sequence model, i.e. $X \sim N (θ, I_{\infty})$ , where $θ \in Γ \subset ℓ_{2}$ is assumed to be convex and compact. We show that goodness-of-fit te…

math.ST2025

Nonparametric MLE for Gaussian Location Mixtures: Certified Computation and Generic Behavior

Yury Polyanskiy, Mark Sellke

We study the nonparametric maximum likelihood estimator $π$ for Gaussian location mixtures in one dimension. It has been known since (Lindsay, 1983) that given an $n$ -point…