27 citations · 40 across the 14 of their papers we have counts for
4 papers · 1 filter
Manifold Fitting in Ambient Space
Zhigang Yao, Bingjie Li, Wee Chin Tan
Modern sample points in many applications no longer comprise real vectors in a real vector space but sample points of much more complex structures, which may be represented as poin…
Manifold Fitting under Unbounded Noise
Zhigang Yao, Yuqing Xia
There has been an emerging trend in non-Euclidean statistical analysis of aiming to recover a low dimensional structure, namely a manifold, underlying the high dimensional data. Re…
Principal Boundary on Riemannian Manifolds
Zhigang Yao, Zhenyue Zhang
We consider the classification problem and focus on nonlinear methods for classification on manifolds. For multivariate datasets lying on an embedded nonlinear Riemannian manifold…
Optimal classification in sparse Gaussian graphic model
Yingying Fan, Jiashun Jin, Zhigang Yao
Consider a two-class classification problem where the number of features is much larger than the sample size. The features are masked by Gaussian noise with mean zero and covarianc…