4 papers
Convergence analysis of Parametric Probabilistic Manifold Decomposition
Jiaming Guo, Dunhui Xiao
This paper presents a convergence analysis for a newly developed nonlinear model reduction method: parametric probabilistic manifold decomposition (PPMD)~\cite{guo2026parametric}.…
Gappy probabilistic manifold decomposition for nonlinear field reconstruction
Qihan Feng, Jiaming Guo, Jiarun Meng +1
This paper proposes gappy probabilistic manifold decomposition (Gappy PMD), a nonlinear method for reconstructing high-dimensional fields from extremely sparse measurements. Gappy…
Parametric Probabilistic Manifold Decomposition for Nonlinear Model Reduction
Jiaming Guo, Dunhui Xiao
Probabilistic Manifold Decomposition (PMD)\cite{doi:10.1137/25M1738863}, developed in our earlier work, provides a nonlinear model reduction by embedding high-dimensional dynamics…
Nonlinear Model Reduction by Probabilistic Manifold Decomposition
Jiaming Guo, Dunhui Xiao
This paper presents a novel non-linear model reduction method: Probabilistic Manifold Decomposition (PMD), which provides a powerful framework for constructing non-intrusive reduce…