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math.NA2026
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…
math.NA2025
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…