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Learning Invariant Subspaces of Koopman Operators--Part 2: Heterogeneous Dictionary Mixing to Approximate Subspace Invariance
Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
This work builds on the models and concepts presented in part 1 to learn approximate dictionary representations of Koopman operators from data. Part I of this paper presented a met…
Learning Invariant Subspaces of Koopman Operators--Part 1: A Methodology for Demonstrating a Dictionary's Approximate Subspace Invariance
Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
Koopman operators model nonlinear dynamics as a linear dynamic system acting on a nonlinear function as the state. This nonstandard state is often called a Koopman observable and i…
Heterogeneous mixtures of dictionary functions to approximate subspace invariance in Koopman operators
Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
Koopman operators model nonlinear dynamics as a linear dynamic system acting on a nonlinear function as the state. This nonstandard state is often called a Koopman observable and i…