Autoencoders vs. Numerical Analysis--Informed Manifold Learning for Navier--Stokes Flows
Autoencoders (AEs) have become a dominant approach to nonlinear latent-space construction in data-driven reduced-order modelling (ROM), with their decoders lifting latent representations back to the ambient state space. Their prominence, however, has overshadowed an established alternative: manifold-learning methods gr...