6 citations · 6 across the 2 of their papers we have counts for
7 papers
Learning Dynamical Systems with the Spectral Exterior Calculus
Suddhasattwa Das, Dimitrios Giannakis, Yanbing Gu +1
We present a data-driven framework for learning dynamical systems on compact Riemannian manifolds based on the spectral exterior calculus (SEC). This approach represents vector fie…
Second quantization for classical nonlinear dynamics
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli, Michael Montgomerry +3
Using techniques from many-body quantum theory, we propose a framework for representing the evolution of observables of measure-preserving ergodic flows through infinite-dimensiona…
Extended-range statistical ENSO prediction through operator-theoretic techniques for nonlinear dynamics
Xinyang Wang, Joanna Slawinska, Dimitrios Giannakis
Forecasting the El Nino-Southern Oscillation (ENSO) has been a subject of vigorous research due to the important role of the phenomenon in climate dynamics and its worldwide socioe…
Reproducing kernel Hilbert space compactification of unitary evolution groups
Dimitrios Giannakis, Suddhasattwa Das, Joanna Slawinska
A framework for coherent pattern extraction and prediction of observables of measure-preserving, ergodic dynamical systems with both atomic and continuous spectral components is de…
The Antarctic circumpolar wave and its seasonality: Intrinsic traveling modes and ENSO teleconnections
Xinyang Wang, Dimitrios Giannakis, Joanna Slawinska
Interannual variability in the Southern Ocean is investigated via nonlinear Laplacian spectral analysis (NLSA), an objective eigendecomposition technique for nonlinear dynamical sy…
Vector-Valued Spectral Analysis of Space-Time Data
Dimitrios Giannakis, Joanna Slawinska, Abbas Ourmazd +1
Identifying coherent spatiotemporal patterns generated by complex dynamical systems is a central problem in many science and engineering disciplines. Here, we combine ideas from th…