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POD-NN

Non-intrusive reduced-order models: POD modes with neural-network coefficients

Paper title Non-intrusive reduced order modeling of nonlinear problems using neural networks

Hesthaven and Ubbiali (EPFL) · Aero & CFD · General PDEs

Paper doi.org⁠

Compresses a set of high-fidelity solutions into a few POD modes, then trains a small two-hidden-layer MLP to map the input parameters (physical or geometric) straight to the mode coefficients. A new case is the network's output times the modes, with no call to the solver; network size and number of training samples are chosen automatically offline using Latin hypercube sampling.

Published
JCP

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