110 citations · 269 across the 19 of their papers we have counts for
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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…
Basis Expansions for Functional Snippets
Zhenhua Lin, Jane-Ling Wang, Qixian Zhong
Estimation of mean and covariance functions is fundamental for functional data analysis. While this topic has been studied extensively in the literature, a key assumption is that t…
Total Variation Regularized Fréchet Regression for Metric-Space Valued Data
Zhenhua Lin, Hans-Georg Müller
Non-Euclidean data that are indexed with a scalar predictor such as time are increasingly encountered in data applications, while statistical methodology and theory for such random…