Author

Jia-Ming Guo

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Preprint Aug 2026

Gappy probabilistic manifold decomposition for nonlinear field reconstruction

Gappy PMD reconstructs the field on the nonlinear manifold learned by probabilistic manifold decomposition, and a differentiable point selection method for reduced-order model (ROM)-based field reconstruction (DPS) makes the full-field reconstruction error differentiable with respect to the sampling locations and direc...

Qi-Han Feng, Jia-Ming Guo, Jia-Run Meng et al. · 0 citations

Preprint Aug 2026

Convergence analysis of Parametric Probabilistic Manifold Decomposition

A coupled perturbation analysis for the entire PPMD procedure identifies how the principal errors interact and which components limit the accuracy of the nonlinear reduced order model.

Jia-Ming Guo, Dun-Hui Xiao · 0 citations