activity
20212024
most citedPractical challenges in data-driven interpolation: dealing with noise, enforcing stability, and computing realizations

3 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

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.NA20241 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…

math.DS2023

Implicit and explicit matching of non-proper transfer functions in the Loewner framework

Ion Victor Gosea, Jan Heiland

The reduced-order modeling of a system from data (also known as system identification) is a classical task in system and control theory and well understood for standard linear syst…

math.NA2023

Data-driven and low-rank implementations of Balanced Singular Perturbation Approximation

Björn Liljegren-Sailer, Ion Victor Gosea

Balanced Singular Perturbation Approximation (SPA) is a model order reduction method for linear time-invariant systems that guarantees asymptotic stability and for which there exis…

math.NA20233 cited

Practical challenges in data-driven interpolation: dealing with noise, enforcing stability, and computing realizations

Quirin Aumann, Ion Victor Gosea

In this contribution, we propose a detailed study of interpolation-based data-driven methods that are of relevance in the model reduction and also in the systems and control commun…

math.DS2022

Bilinear realization from input-output data with neural networks

Dimitrios S. Karachalios, Ion Victor Gosea, Kirandeep Kour +1

We present a method that connects a well-established nonlinear (bilinear) identification method from time-domain data with neural network (NNs) advantages. The main challenge for f…