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.
Sharp spectral rates for Koopman operator learning.Advances in Neural Information Processing Systems, 36:32328–32339, 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.