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math.NA2025
When do World Models Successfully Learn Dynamical Systems?
Edmund Ross, Claudia Drygala, Leonhard Schwarz +4
In this work, we explore the use of compact latent representations with learned time dynamics ('World Models') to simulate physical systems. Drawing on concepts from control theory…
math.NA2025
Data-driven optimal approximation on Hardy spaces in simply connected domains
Alessandro Borghi, Tobias Breiten
We consider optimal interpolation of functions analytic in simply connected domains in the complex plane. By choosing a specific structure for the approximant, we show that the res…
math.NA2025
Balanced truncation with conformal maps
Alessandro Borghi, Tobias Breiten, Serkan Gugercin
We consider the problem of constructing reduced models for large scale systems with poles in general domains in the complex plane (as opposed to, e.g., the open left-half plane or…