Meshless Latent Dynamics Models for Model Order Reduction of time-dependent Partial Differential Equations
A unified mathematical framework for mesh-agnostic LDMs based on conditioning in Neural Fields (NeFs) is introduced, establishing a Universal Approximation Theorem (UAT) for this class of models and analyzing their stability by deriving Lipschitz bounds for different conditioning mechanisms.
Lorenzo Tomada, F. Pichi, G. Rozza
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