On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields - Franco, Nicola Rares; Fraulin, Daniel; Manzoni, Andrea; Zunino, Paolo (Advances in computational mathematics, 2024)
Keywords: Computational Mathematics and Numerical Analysis; Computational Science and Engineering; Deep learning; Error analysis; Fields (mathematics); Impact analysis; Machine learning; Mathematical and Computational Biology; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Neural networks; Parameterization; Partial differential equations; Reduced order models; Stochastic processes; Visualization; Deep learning; Random fields; Autoencoders; Reduced order modeling; 35A35; 35B30; 68T07; Parametrized PDEs; 65N30