27 citations · 40 across the 14 of their papers we have counts for
5 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…
Quantifying Time-Varying Sources in Magnetoencephalography -- A Discrete Approach
Zhigang Yao, Zengyan Fan, Masahito Hayashi +1
We study the distribution of brain source from the most advanced brain imaging technique, Magnetoencephalography (MEG), which measures the magnetic fields outside the human head pr…
Community Detection Based on the convergence of eigenvectors in DCBM
Yan Liu, Zhiqiang Hou, Zhigang Yao +3
Spectral clustering is one of the most popular algorithms for community detection in network analysis. Based on this rationale, in this paper we give the convergence rate of eigenv…
Random Fixed Boundary Flows
Zhigang Yao, Yuqing Xia, Zengyan Fan
We consider fixed boundary flow with canonical interpretability as principal components extended on non-linear Riemannian manifolds. We aim to find a flow with fixed starting and e…