Personalized PageRank on row-normalized EDMD matrices detects Koopman-invariant sub-dictionaries with O(1/sqrt(M)) finite-sample guarantees and is tested on standard chaotic systems.
Finite-data error bounds for Koopman-based prediction and control.Journal of Nonlinear Science, 33(1):14, 2023
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Finding Koopman Invariant Subspaces via Personalized PageRank
Personalized PageRank on row-normalized EDMD matrices detects Koopman-invariant sub-dictionaries with O(1/sqrt(M)) finite-sample guarantees and is tested on standard chaotic systems.