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math.DS2022★ 48 cited
Derivative-based SINDy (DSINDy): Addressing the challenge of discovering governing equations from noisy data
Jacqueline Wentz, Alireza Doostan
Recent advances in the field of data-driven dynamics allow for the discovery of ODE systems using state measurements. One approach, known as Sparse Identification of Nonlinear Dyna…
stat.ML2022
GenMod: A generative modeling approach for spectral representation of PDEs with random inputs
Jacqueline Wentz, Alireza Doostan
We propose a method for quantifying uncertainty in high-dimensional PDE systems with random parameters, where the number of solution evaluations is small. Parametric PDE solutions…