324 citations · 471 across the 17 of their papers we have counts for
24 papers
On residual bounds of the EDMD solution to the eigenvalue problem for the Koopman operator and backward shadowing stability of the EDMD/KMD
Zlatko Drmač
This paper introduces shadowing theory based backward stability assessment of data driven computational analysis of discrete dynamical systems in the framework of the Koopman compo…
New Robust Streaming DMD with Forecasting
Zlatko Drmač, Ela Đimoti
The Dynamic Mode Decomposition (DMD) and the more general Extended DMD (EDMD) are powerful tools for computational analysis of dynamical systems in data-driven scenarios. They are…
An Introductory Guide to Koopman Learning
Matthew J. Colbrook, Zlatko Drmač, Andrew Horning
Koopman operators provide a linear framework for data-driven analyses of nonlinear dynamical systems, but their infinite-dimensional nature presents major computational challenges.…
A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics
Zlatko Drmač, Igor Mezić
This paper introduces a new theoretical and computational framework for a data driven Koopman mode analysis of nonlinear dynamics. To alleviate the potential problem of ill-conditi…
IRKA is a Riemannian Gradient Descent Method
Petar Mlinarić, Christopher A. Beattie, Zlatko Drmač +1
The iterative rational Krylov algorithm (IRKA) is a commonly used fixed-point iteration developed to minimize the model order reduction error. In this work, IRKA is…
A Koopman Operator-Based Prediction Algorithm and its Application to COVID-19 Pandemic
Igor Mezic, Zlatko Drmac, Nelida Crnjaric-Zic +6
The problem of prediction of behavior of dynamical systems has undergone a paradigm shift in the second half of the 20th century with the discovery of the possibility of chaotic dy…