2 papers
math.NA2026
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}.…
math.NA2026
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…