Stoch-IDENT identifies linear and nonlinear SPDEs from data by using sample means for the drift and a quadratic sparse regression solved via a new greedy algorithm QSP for the diffusion term, supported by identifiability analysis on mean-covariance spectra and solution-space dimensions.
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Stoch-IDENT: New Method and Mathematical Analysis for Identifying SPDEs from Data
Stoch-IDENT identifies linear and nonlinear SPDEs from data by using sample means for the drift and a quadratic sparse regression solved via a new greedy algorithm QSP for the diffusion term, supported by identifiability analysis on mean-covariance spectra and solution-space dimensions.