Koopman Operator Theory Workshop 2, Cres, Croatia

The second international workshop, “Koopman Operator Theory: Fundamentals, Approximations and Applications,” was held from September 10 to 12, 2025, at the historic Moise Palace on the island of Cres, Croatia. Sponsored by the University of Rijeka, the University of Rijeka, Faculty of Engineering, and Moise Palace, the workshop was organized by Igor Mezić (UC Santa Barbara) and Ervin Kamenar (Faculty of Engineering, Rijeka). The scientific committee included distinguished experts Prof. Zlatko Drmač (University of Zagreb), Prof. Yoshi Susuki (Kyoto University), and Prof. Alexandre Mauroy (University of Namur).

The workshop focused on the cutting-edge integration of machine learning and artificial intelligence within Koopman operator theory, highlighting its theoretical developments and diverse applications across robotics, climate science, biology, healthcare, and AI. Approximately 30 scientists from prestigious institutions worldwide participated, representing:

USA: UC Santa Barbara, Caltech, MIT, Johns Hopkins, University of Colorado (Colorado Springs), Rensselaer Polytechnic Institute, Dartmouth, University of Maryland
Italy: University of Bologna
Croatia: University of Zagreb, University of Rijeka
Belgium: University of Namur
Japan: Kyoto University, Institute of Science Tokyo
Germany: Technical University of Munich, Ilmenau University of Technology
United Kingdom: University of Leicester
Scotland: Heriot-Watt University, Edinburgh
Australia: University of Sydney
Netherlands: Eindhoven University of Technology

Over the three-day event, participants engaged in lectures, collaborative discussions, and strategic planning sessions aimed at interdisciplinary cooperation and defining future research directions. A standout moment was a special session on a boat anchored near Valun, where young researchers exchanged ideas, shared perspectives on research challenges, and proposed innovative directions and applications for further advancing Koopman operator theory. The scenic maritime setting fostered a uniquely inspiring and informal environment for dialogue.

Looking ahead, the third edition of the workshop is planned for 2026 in Kyoto, Japan, promising further enhancement of this vibrant international research community.

For more detailed information, visit the official workshop website.

Presentations & Speakers

Igor Mezić (University of California, Santa Barbara, USA)
Koopman Operator Theory in Dynamical Systems, Neural Networks and Control
Dimitrios Giannakis (Department of Mathematics, Dartmouth College, USA)
Quantum mechanical closure of partial differential equations with symmetries
Yoshihiko Susuki (Kyoto University, Japan)
Koopman Operators for Singular Systems: Construction, Spectral Properties, and Data-Driven Methods
Mircea Lazar (Eindhoven University of Technology, Netherlands)
From Product Hilbert Spaces to the Generalized Koopman Operator and the Nonlinear Fundamental Lemma
Hiroya Nakao (Institute of Science Tokyo, Japan)
Koopman Global Linearization of Contact-Rich Dynamics Enables Robots to Discover Elaborate Control Strategies for Locomotion and Manipulation
Karl Worthmann (Ilmenau University of Technology, Germany)
Kernel approximations of the Koopman operator and their use in predictive control
Caroline Wormell (School of Mathematics and Statistics, University of Sydney, Australia)
Probabilistic eigenspectrum in multivariable location for operators sampled from data
Zlatko Drmač (University of Zagreb, Faculty of Science, Croatia)
Advances in DMD – using the residuals and the Koopman–Schur decomposition
Ela Đimoti (University of Zagreb, Faculty of Science, Croatia)
Streaming DMD and online forecasting
Nelida Črnjarić (University of Rijeka, Faculty of Engineering, Croatia)
Approximations and estimations of the Koopman operator
Alexandre Mauroy (University of Namur, Belgium)
Identification, spectral analysis, and state estimation in spaces of analytic functions
John Moroney (University of Leicester, UK)
Koopman Operators in Coupled Fluid Dynamics: A Data-Driven Exploration
Giulia Libero (University of Bologna, Italy)
Koopman-based generalization of spatial lagged correlation dynamics to world water storage anomalies using DMD
Paula Sanchez (University of Bologna, Italy)
Residual Ordering of Koopman Spectra for the Identification of Tropical SST Fundamental Modes
Harry Asada (MIT, USA)
Koopman operator approach to limit cycles in quantum dissipative systems
Jeff Moehlis (University of California, Santa Barbara, USA)
Phase Reduction, For The Win!
Petar Bevanda (Technical University of Munich, Germany)
Operator Learning for Reliable, Efficient Prediction and Control
Matthew Kvalheim (University of Maryland, Baltimore County, USA)
When do Koopman Embeddings Exist?
Joel Burdick (California Institute of Technology, USA)
Real-time Koopman-based dynamical prediction (from noisy signals) for safety-critical control of autonomous systems
Ervin Kamenar (University of Rijeka, Faculty of Engineering, Croatia)
Koopman-Based Prediction of Hand Grip Force Using sEMG
Tomislav Bazina (University of Rijeka, Faculty of Engineering, Croatia)
Koopman-Based Prediction of Hand Grip Force Using sEMG – Demonstration & Outlook
Stefan Klus (Heriot-Watt University, Edinburgh, Scotland)
Data-driven system identification using quadratic embeddings of nonlinear dynamics
William T. Redman (Johns Hopkins Applied Physics Lab, USA)
Koopman Learning with Episodic Memory
Andrew Horning (Rensselaer Polytechnic Institute, USA)
Higher-Order Mixtures of Dictionary Functions for Finite, Approximate Koopman Closure: Why Deep Koopman Operators Work and Implicit Tradeoffs Between Bias and Variance
Xin C. Yee (University of Colorado, Colorado Springs, USA)
Koopman Linear Quadratic regulator control of microbubble oscillations for biomedical applications
David Liović (University of Rijeka, Faculty of Engineering, Croatia)
Blood Glucose Level Prediction Using Koopman Operator Theory