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math.ST2018
Singularity, Misspecification, and the Convergence Rate of EM
Raaz Dwivedi, Nhat Ho, Koulik Khamaru +3
A line of recent work has analyzed the behavior of the Expectation-Maximization (EM) algorithm in the well-specified setting, in which the population likelihood is locally strongly…
math.ST2018
From Gauss to Kolmogorov: Localized Measures of Complexity for Ellipses
Yuting Wei, Billy Fang, Martin J. Wainwright
The Gaussian width is a fundamental quantity in probability, statistics and geometry, known to underlie the intrinsic difficulty of estimation and hypothesis testing. In this work,…
math.ST2018★ 2 cited
The local geometry of testing in ellipses: Tight control via localized Kolmogorov widths
Yuting Wei, Martin J. Wainwright
We study the local geometry of testing a mean vector within a high-dimensional ellipse against a compound alternative. Given samples of a Gaussian random vector, the goal is to dis…