ECLEIRS embeds exact conservation laws into a neural reduced-order model by representing solution and flux as divergences of a skew-symmetric matrix field, improving robustness to sparse and noisy data and accuracy for unseen parameters.
A survey of projection-based model reduction methods for parametric dynamical systems.SIAM Review, 57(4):483–531, 2015
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ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data
ECLEIRS embeds exact conservation laws into a neural reduced-order model by representing solution and flux as divergences of a skew-symmetric matrix field, improving robustness to sparse and noisy data and accuracy for unseen parameters.