4 papers
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…
A Principal Submanifold-based Approach for Clustering and Multiscale RNA Correction
Menghao Wu, Zhigang Yao
RNA structure determination is essential for understanding its biological functions. However, the reconstruction process often faces challenges, such as atomic clashes, which can l…
Generalized space-time fractional stochastic kinetic equation
Junfeng Liu
In this paper, we study a class of nonlinear space-time fractional stochastic kinetic equations in with Gaussian noise which is white in time and homogeneous in spac…
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…