4 papers
A spectral inference method for determining the number of communities in networks
Yujia Wu, Xiucai Ding, Jingfei Zhang +2
To characterize the community structure in network data, researchers have developed various block-type models, including the stochastic block model, the degree-corrected stochastic…
On the edge eigenvalues of sparse random geometric graphs
Xiucai Ding, Yichen Hu
In this paper, we study the edge eigenvalues of random geometric graphs (RGGs) generated by multivariate Gaussian samples in the sparse regime under a broad class of distance metri…
Kernel spectral joint embeddings for high-dimensional noisy datasets using duo-landmark integral operators
Xiucai Ding, Rong Ma
Integrative analysis of multiple heterogeneous datasets has become standard practice in many research fields, especially in single-cell genomics and medical informatics. Existing a…
Two sample test for covariance matrices in ultra-high dimension
Xiucai Ding, Yichen Hu, Zhenggang Wang
In this paper, we propose a new test for testing the equality of two population covariance matrices in the ultra-high dimensional setting that the dimension is much larger than the…