Publications of Dimitrios Karachalios

Karachalios, D.; Gosea, I. V.; Gkimisis, L.; Antoulas, A. C.: Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements. SIAM Journal on Applied Dynamical Systems 24 (1), pp. 457 - 500 (2025)

Benner, P.; Filanova, Y.; Karachalios, D.; Monem Abdelhafez, S.; Przybilla, J.; Werner, S. W. R.: Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme. Mitteilungen der Deutschen Mathematiker-Vereinigung 29 (4), pp. 198 - 204 (2022)

Karachalios, D.; Gosea, I. V.; Kour, K.; Antoulas, A. C.: Bilinear realization from input-output data with neural networks. In: Scientific Computing in Electrical Engineering: SCEE 2022, Amsterdam, The Netherlands, July 2022, pp. 184 - 192 (Eds. van Beurden, M.; Budko, N. V.; Ciuprina, G.; Schilders, W.; Bansal, H. et al.). Springer, Cham (2024)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: On Bilinear Time Domain Identification and Reduction in the Loewner Framework. In: Model Reduction of Complex Dynamical Systems, pp. 3 - 30 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (2021)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: The Loewner Framework for System Identification and Reduction. In: Model Order Reduction: Volume I: System- and Data-Driven Methods and Algorithms, pp. 181 - 228 (Eds. Benner, P.; Schilders, W.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G. et al.). De Gruyter, Berlin, Boston (2021)

Gosea, I. V.; Živković, L. A.; Karachalios, D.; Vidaković-Koch, T.; Antoulas, A. C.: A data-driven nonlinear frequency response approach based on the Loewner framework: preliminary analysis. IFAC-PapersOnLine 56 (1), pp. 234 - 239 (2023)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: A framework for fitting quadratic-bilinear systems with applications to models of electrical circuits. 10th Vienna International Conference on Mathematical Modelling - MATHMOD 2022 , Vienna, Austria, July 27, 2022 - July 29, 2022. IFAC-PapersOnLine 55 (20), pp. 7 - 12 (2022)

Gosea, I. V.; Karachalios, D.; Antoulas, A. C.: On computing reduced-order bilinear models from time-domain data. 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Kassel, March 15, 2021 - March 19, 2021. Proceedings in Applied Mathematics & Mechanics 21 (1), e202100254, (2021)

Gosea, I. V.; Karachalios, D.; Antoulas, A. C.: Learning reduced-order models of quadratic control systems from input-output data. In: 2021 European Control Conference (ECC), pp. 1426 - 1431. 2021 European Control Conference (ECC), Rotterdam, Netherlands/virtual, June 29, 2021 - July 02, 2021. (2021)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: The Loewner framework for nonlinear identification and reduction of Hammerstein cascaded dynamical systems. 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Kassel, March 16, 2020 - March 20, 2020. Proceedings in Applied Mathematics & Mechanics 20 (1), e202000337, (2021)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: A Bilinear Identification-Modeling Framework from Time Domain Data. 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Vienna, Austria, February 18, 2019 - February 22, 2019. Proceedings in Applied Mathematics and Mechanics 19 (1), e201900246, (2019)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: Data‐driven approximation methods applied to non‐rational functions. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics 18 (1), pp. 1 - 2 (2018)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: Data-driven (Bilinear) identification and reduction. 7th GAMM Juniors' Summer School on Applied Mathematics and Mechanics (SAMM), Magdeburg, Germany (2021)

Karachalios, D.; Gosea, I. V.; Antoulas, A. C.: The Loewner frame-work between compression, iteration and optimal selection. Model Order Reduction Summer School, Hamburg, Germany (2018)

Karachalios, D.: Data-driven System Reduction and Identification from Input-Output Time-Domain Data with the Loewner Framework. Dissertation, Otto-von-Guericke-Universität, Magdeburg (2023)

Karachalios, D.; Gosea, I. V.; Zhang, Q.; Antoulas, A. C.: Case study: Approximations of the Bessel Function. (2017)