Fourier Weak SINDy selects orthogonal sinusoidal test functions using multitaper spectral estimation to make weak-form SINDy robust and derivative-free for equation discovery in dynamical systems.
and Champion, Kathleen and Quade, Markus and Loiseau, Jean-Christophe and Kutz, J
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BG-SINDy reformulates l0-constrained regression as term-level l2,0 regularization and uses progressive pruning guided by balance contributions to recover small-coefficient terms in multiscale PDEs.
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Fourier Weak SINDy: Spectral Test Function Selection for Robust Model Identification
Fourier Weak SINDy selects orthogonal sinusoidal test functions using multitaper spectral estimation to make weak-form SINDy robust and derivative-free for equation discovery in dynamical systems.
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Balance-Guided Sparse Identification of Multiscale Nonlinear PDEs with Small-coefficient Terms
BG-SINDy reformulates l0-constrained regression as term-level l2,0 regularization and uses progressive pruning guided by balance contributions to recover small-coefficient terms in multiscale PDEs.