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Operator is the Model
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Koopman operator based models emerged as the leading methodology for machine learning of dynamical systems. But their scope is much larger. In fact they present a new take on modeling of physical systems, and even language. In this article I present some of the underlying mathematical structures, applications, connections to other methodologies such as transformer architectures
Forward citations
Cited by 2 Pith papers
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Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems
The authors learn a Koopman model of a Duffing-oscillator virtual environment and show it matches the nonlinear model in simulation, hardware, and user perception, while claiming simplified and less conservative stabi...
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Lightweight and Self-Evolving Channel Twinning: An Ensemble DMD-Assisted Approach
An ensemble of compressed and extended dynamic mode decomposition, plus a median mask, reconstructs and predicts dynamic channel gain maps from as few as 20 noisy snapshots.
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