Filtered EDMD projects the Koopman action onto forward-intersection subspaces that need not be invariant, provably preserving every represented nonzero Koopman eigenpair while suppressing spectral pollution.
Analysis of fluid flows via spectral properties of the
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Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition
Filtered EDMD projects the Koopman action onto forward-intersection subspaces that need not be invariant, provably preserving every represented nonzero Koopman eigenpair while suppressing spectral pollution.