10 citations · 18 across the 5 of their papers we have counts for
5 papers · 1 filter
Koopman Operator, Geometry, and Learning
Igor Mezic
We provide a framework for learning of dynamical systems rooted in the concept of representations and Koopman operators. The interplay between the two leads to the full description…
On Numerical Approximations of the Koopman Operator
Igor Mezic
We study numerical approaches to computation of spectral properties of composition operators. We provide a characterization of Koopman Modes in Banach spaces using Generalized Lapl…
Exponentially decaying modes and long-term prediction of sea ice concentration using Koopman Mode Decomposition
James Hogg, Maria Fonoberova, Igor Mezic
Sea ice cover in the Arctic and Antarctic is an important indicator of changes in the climate, with important environmental, economic and security consequences. The complexity of t…
Global computation of phase-amplitude reduction for limit-cycle dynamics
A. Mauroy, I. Mezic
Recent years have witnessed increasing interest to phase-amplitude reduction of limit-cycle dynamics. Adding an amplitude coordinate to the phase coordinate allows to take into acc…
On the approximation of Koopman spectra for measure preserving transformations
Nithin Govindarajan, Ryan Mohr, Shivkumar Chandrasekaran +1
For the class of continuous, measure-preserving automorphisms on compact metric spaces, a procedure is proposed for constructing a sequence of finite-dimensional approximations to…