11 papers
-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation
Sean Reiter, Ion Victor Gosea, Igor Pontes Duff +1
This paper addresses the -optimal approximation of linear dynamical systems with quadratic-output functions, also known as linear quadratic-output systems. Our major…
optimal model reduction of linear systems with multiple quadratic outputs
Sean Reiter, Igor Pontes Duff, Ion Victor Gosea +1
In this work, we consider the optimal model reduction of dynamical systems that are linear in the state equation and up to quadratic nonlinearity in the output equation. As o…
Variable decoupling and the Kolmogorov Superposition Theorem for rational functions
A. C. Antoulas, I. V. Gosea, C. Poussot-Vassal
This work shows that for rational multivariate functions, the Kolmogorov Superposition Theorem (KST) involves several single-variable functions, which can be written down by inspec…
Tensor-based multivariate function approximation: methods benchmarking and comparison
Charles Poussot-Vassal, Ion Victor Gosea, Pierre Vuillemin +1
We evaluate some methods designed for tensor- (or data-) based multivariate model construction (approximation and compression). To this aim, a collection of multivariate functions…
Barycentric rational approximation for learning the index of a dynamical system from limited data
Davide Pradovera, Ion Victor Gosea, Jan Heiland
We consider the task of data-driven identification of dynamical systems, specifically for systems whose behavior at large frequencies is non-standard, as encoded by a non-trivial r…
The Loewner framework applied to Zolotarev sign and ratio problems
Athanasios C. Antoulas, Ion Victor Gosea, Charles Poussot-Vassal
In this work, we propose a numerical study concerning the approximation of functions associated with the 3rd and 4th Zolotarev problems. We compare various methods, in particular t…