27 citations · 38 across the 5 of their papers we have counts for
11 papers
Intrinsic Wasserstein Correlation Analysis
Hang Zhou, Zhenhua Lin, Fang Yao
We develop a framework of canonical correlation analysis for distribution-valued functional data within the geometry of Wasserstein spaces. Specifically, we formulate an intrinsic…
Additive Models for Symmetric Positive-Definite Matrices, Riemannian Manifolds and Lie groups
Zhenhua Lin, Hans-Georg Müller, Byeong U. Park
In this paper an additive regression model for a symmetric positive-definite matrix valued response and multiple scalar predictors is proposed. The model exploits the abelian group…
High-dimensional MANOVA via Bootstrapping and its Application to Functional and Sparse Count Data
Zhenhua Lin, Miles E. Lopes, Hans-Georg Müller
We propose a new approach to the problem of high-dimensional multivariate ANOVA via bootstrapping max statistics that involve the differences of sample mean vectors. The proposed m…
Mean and Covariance Estimation for Functional Snippets
Zhenhua Lin, Jane-Ling Wang
We consider estimation of mean and covariance functions of functional snippets, which are short segments of functions possibly observed irregularly on an individual specific subint…
Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition
Zhenhua Lin
We present a new Riemannian metric, termed Log-Cholesky metric, on the manifold of symmetric positive definite (SPD) matrices via Cholesky decomposition. We first construct a Lie g…
Modeling Symmetric Positive Definite Matrices with An Application to Functional Brain Connectivity
Zhenhua Lin, Dehan Kong, Qiang Sun
In neuroscience, functional brain connectivity describes the connectivity between brain regions that share functional properties. Neuroscientists often characterize it by a time se…