activity
20172025
most citedRational approximation of the absolute value function from measurements: a numerical study of recent methods

9 citations · 47 across the 37 of their papers we have counts for

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Showing 2024Show all

7 papers · 1 filter

math.NA2024

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…

math.NA2024

A non-intrusive data-based reformulation of a hybrid projection-based model reduction method

Ion Victor Gosea, Serkan Gugercin, Christopher Beattie

We present a novel data-driven reformulation of the iterative SVD-rational Krylov algorithm (ISRK), in its original formulation a Petrov-Galerkin (two-sided) projection-based itera…

math.DS2024

Snapshot-driven Rational Interpolation of Parametric Systems

Art J. R. Pelling, Karim Cherifi, Ion Victor Gosea +1

Parametric data-driven modeling is relevant for many applications in which the model depends on parameters that can potentially vary in both space and time. In this paper, we prese…

math.NA2024★ 2 cited

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…

math.NA2024

On the Loewner framework, the Kolmogorov superposition theorem, and the curse of dimensionality

Athanasios C. Antoulas, Ion Victor Gosea, Charles Poussot-Vassal

The Loewner framework is an interpolatory approach for the approximation of linear and nonlinear systems. The purpose here is to extend this framework to linear parametric systems…

math.NA2024★ 2 cited

Learning reduced-order Quadratic-Linear models in Process Engineering using Operator Inference

Ion Victor Gosea, Luisa Peterson, Pawan Goyal +3

In this work, we address the challenge of efficiently modeling dynamical systems in process engineering. We use reduced-order model learning, specifically operator inference. This…

math.NA2024★ 1 cited

A modified AAA algorithm for learning stable reduced-order models from data

Tommaso Bradde, Stefano Grivet-Talocia, Quirin Aumann +1

In recent years, the Adaptive Antoulas-Anderson AAA algorithm has established itself as the method of choice for solving rational approximation problems. Data-driven Model Order Re…