3 papers
stat.ME2025
Online Learning of Functional Principal Component Analysis for Multidimensional Functional Data
Muye Nanshan, Nan Zhang, Jiguo Cao
Multidimensional functional data streams arise in diverse scientific fields, yet their analysis poses significant challenges. We propose a novel online framework for functional pri…
stat.ME2022
A Joint Estimation Approach to Sparse Additive Ordinary Differential Equations
Nan Zhang, Muye Nanshan, Jiguo Cao
Ordinary differential equations (ODEs) are widely used to characterize the dynamics of complex systems in real applications. In this article, we propose a novel joint estimation ap…
stat.ME2022
Dynamical Modeling for non-Gaussian Data with High-dimensional Sparse Ordinary Differential Equations
Muye Nanshan, Nan Zhang, Xiaolei Xun +1
Ordinary differential equations (ODE) have been widely used for modeling dynamical complex systems. For high-dimensional ODE models where the number of differential equations is la…