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math.ST2026
Curvature-driven manifold fitting under unbounded isotropic noise
Ruowei Li, Zhigang Yao
Manifold fitting aims to reconstruct a low-dimensional manifold from high-dimensional data, whose framework is established by Fefferman et al. \cite{fefferman2020reconstruction,fef…
math.ST2021
High Dimensional Quadratic Discriminant Analysis: Optimality and Phase Transitions
Wanjie Wang, Jingjing Wu, Zhigang Yao
Consider a two-class classification problem where we observe samples for i = 1, ..., n, and in {0, 1}. Given , is assumed to follow…