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math.ST2026
Sharp Inequalities between Total Variation and Hellinger Distances for Gaussian Mixtures
Joonhyuk Jung, Chao Gao
We study the relation between the total variation (TV) and Hellinger distances between two Gaussian location mixtures. Our first result establishes a general upper bound: for any t…
math.ST2021
Optimal Orthogonal Group Synchronization and Rotation Group Synchronization
Chao Gao, Anderson Y. Zhang
We study the statistical estimation problem of orthogonal group synchronization and rotation group synchronization. The model is $Y_{ij} = Z_i^* Z_j^{*T} + σW_{ij}\in\mathbb{R}^{d\…