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Koopman Operator, Geometry, and Learning of Dynamical Systems

Igor Mezić

2021Notices of the American Mathematical Society48 citationsDOIOpen Access PDF

Abstract

Koopman operator theory has recently emerged as one of the main candidates for machine learning of dynamical processes. In this article, we briefly describe its history and the current focus, setting it within the new concept of dynamic process representation.

Topics & Concepts

Operator (biology)GeometryDynamical systems theoryComputer scienceMathematicsPhysicsQuantum mechanicsBiochemistryTranscription factorRepressorChemistryGeneModel Reduction and Neural NetworksNeural Networks and Applications