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.
A data-driven approximation of the Koopman operator: Extending dynamic mode decomposition.Journal of Nonlinear Science, 25(6):1307–1346, 2015
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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.