Online Estimation of the Koopman Operator Using Fourier Features
- URL: http://arxiv.org/abs/2212.01503v2
- Date: Fri, 11 Aug 2023 21:57:07 GMT
- Title: Online Estimation of the Koopman Operator Using Fourier Features
- Authors: Tahiya Salam, Alice Kate Li, M. Ani Hsieh
- Abstract summary: We offer an optimization scheme to allow joint learning of the observables and Koopman operator with online data.
Our results show we are able to reconstruct the evolution and represent the global features of complex dynamical systems.
- Score: 9.422860826278788
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Transfer operators offer linear representations and global, physically
meaningful features of nonlinear dynamical systems. Discovering transfer
operators, such as the Koopman operator, require careful crafted dictionaries
of observables, acting on states of the dynamical system. This is ad hoc and
requires the full dataset for evaluation. In this paper, we offer an
optimization scheme to allow joint learning of the observables and Koopman
operator with online data. Our results show we are able to reconstruct the
evolution and represent the global features of complex dynamical systems.
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