Dimitrios Karachalios, M. Sc.


Institute for Electrical Engineering in Medicine
Universität zu Lübeck
Moislinger Allee 53-55
23558 Lübeck
Gebäude Geb. 19,

Email:dimitrios.karachalios(at)uni-luebeck.de
Phone:+49 451 3101 6235
Fax:

 

Research

Research Interests

  • Data-Driven modeling
  • Nonlinear system identification
  • Model order reduction
  • Model predictive control
  • Linear parameter-varying control systems

Current Projects

  • Practical model predictive control for nonlinear/time-varying systems using linear-parameter varying models (DFG Proj. No. 419290163)

 

Curriculum Vitae

Dimitrios S. Karachalios completed his diploma in applied mathematics and physical sciences from the National Technical University of Athens (NTUA) with statistics and computer science directions, including one year M.Sc. in 2012. Continuously he received a second M.Sc. degree in computational mechanics in fluid flow from the NTUA in 2015. After working experience and army obligations, he joined the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg, Germany, for his doctoral studies on data-driven nonlinear system reduction and identification. Since October 2022, he has been a research scientist with the Institute for Electrical Engineering in Medicine, working on nonlinear model predictive control.


 

Teaching (Assistant)

  • Advanced numerical linear algebra (Otto von Guericke University, Magdeburg, summer semester 2022)

Conferences, Workshops and Talks

  • (Poster) September 19-23, 2022, Model Reduction and Surrogate Modeling (MORE), Berlin, Germany
  • (Contributed talk) August 15-19, 2022, 92nd GAMM Annual Meeting, Aachen, Germany
  • (Contributed paper) July 27-29, 2022, 10th International Conference on Mathematical Modelling, Vienna, Austria
  • (Contributed paper and talk) July 11-14, 14th International Conference on Scientific Computing in Electrical Engineering (SCEE), Amsterdam, The Netherlands
  • (Invited talk) June 20 - 26, 2021, 8th European Congress of Mathematics, Portoroz, Slovenia (virtual conference)
  • (Contributed talk and paper) March 15-19, 2021, 91st  GAMM Annual Meeting, Kassel, Germany (virtual conference)
  • March 1-5, 2021, SIAM Conference on Computational Science and Engineering (CSE21), Texas, U.S. (virtual conference)
  • (Poster) July 27-31, 2020, GAMM Summer School: Learning Models from Data: Model Reduction, System Identification, and Machine Learning
  • (Contributed talk and paper) August 28-30, 2019, Model Reduction of Complex Dynamical Systems, Graz, Austria
  • December 10-11, 2019, MathCoRe social skills course: Presentation skills by K. Raabe, NaWik
  • November 6, 2019, MathCoRe lecture: Good Scientific Practice by B. Witter, OVGU Graduate Academy
  • (Contributed talk) September 23-27, 2019, Model Order Reduction Summer School, Eindhoven, The Netherlands
  • (Poster presentation) May 13-14, 2019, MathCoRe annual colloquium in Wernigerode, Germany
  • (Contributed talk and paper) February 18-22, 2019, 90th  GAMM Annual Meeting, Vienna, Austria
  • (Contributed talk and paper) March 19-23, 2018, 89th  GAMM Annual Meeting, Munich, Germany
  • (Contributed talk) February 26- March 1, 2018, 12th Elgersburg Workshop on control, Elgersburg, Germany

 

Publications

Conference Publications

2023

  • Maryam Nezami and Dimitrios S. Karachalios and Georg Schildbach and Hossam S. Abbas: On the Design of Nonlinear MPC and LPVMPC for Obstacle Avoidance in Autonomous Driving. in International Conference on Control, Decision and Information Technologies (CoDIT)(accepted), Italy, July, 2023
    BibTeX
    @Inproceedings{Nezami2023,
    author = {Maryam Nezami and Dimitrios S. Karachalios and Georg Schildbach and Hossam S. Abbas},
    title = {On the Design of Nonlinear MPC and LPVMPC for Obstacle Avoidance in Autonomous Driving},
    booktitle = {International Conference on Control, Decision and Information Technologies (CoDIT)(accepted)},
    year = {2023},
    month = {July},
    organization = {IEEE},
    address = {Italy}
    }
    

2021

  • Gosea, Ion Victor and Karachalios, Dimitrios S. and Antoulas, Athanasios C.: Learning reduced-order models of quadratic dynamical systems from input-output data. in 2021 European Control Conference (ECC), pp. 1426-1431, 2021
    BibTeX
    @INPROCEEDINGS{9654993,
      author={Gosea, Ion Victor and Karachalios, Dimitrios S. and Antoulas, Athanasios C.},
      booktitle={2021 European Control Conference (ECC)}, 
      title={Learning reduced-order models of quadratic dynamical systems from input-output data}, 
      year={2021},
      volume={},
      number={},
      pages={1426-1431},
      doi={10.23919/ECC54610.2021.9654993}
    }
    

Journal Publications

2023

  • Ion Victor Gosea and Luka A. Živković and Dimitrios S. Karachalios and Tanja Vidaković-Koch and Athanasios C. Antoulas: A data-driven nonlinear frequency response approach based on the Loewner framework: preliminary analysis. IFAC-PapersOnLine, no. 56, pp. 234-239, 2023
    BibTeX Link
    @article{GOSEA2023234,
    title = {A data-driven nonlinear frequency response approach based on the Loewner framework: preliminary analysis},
    journal = {IFAC-PapersOnLine},
    volume = {56},
    number = {1},
    pages = {234-239},
    year = {2023},
    note = {12th IFAC Symposium on Nonlinear Control Systems NOLCOS 2022},
    issn = {2405-8963},
    doi = {https://doi.org/10.1016/j.ifacol.2023.02.040},
    url = {https://www.sciencedirect.com/science/article/pii/S2405896323002288},
    author = {Ion Victor Gosea and Luka A. Živković and Dimitrios S. Karachalios and Tanja Vidaković-Koch and Athanasios C. Antoulas},
    keywords = {Data-Driven Methods, Nonlinear Dynamics, Nonlinear Frequency Response, Transfer Functions, Frequency Response Functions, Model Reduction, Non-intrusive Approach}
    }
    

2022

  • Dimitrios S. Karachalios and Ion Victor Gosea and Athanasios C. Antoulas: A framework for fitting quadratic-bilinear systems with applications to models of electrical circuits. IFAC-PapersOnLine, no. 55, pp. 7-12, 2022
    BibTeX Link
    @article{KARACHALIOS20227,
    title = {A framework for fitting quadratic-bilinear systems with applications to models of electrical circuits},
    journal = {IFAC-PapersOnLine},
    volume = {55},
    number = {20},
    pages = {7-12},
    year = {2022},
    note = {10th Vienna International Conference on Mathematical Modelling MATHMOD 2022},
    issn = {2405-8963},
    doi = {https://doi.org/10.1016/j.ifacol.2022.09.064},
    url = {https://www.sciencedirect.com/science/article/pii/S2405896322012459},
    author = {Dimitrios S. Karachalios and Ion Victor Gosea and Athanasios C. Antoulas},
    keywords = {Data-Driven, Non-Intrusive Modeling, Model Order Reduction, Nonlinear Dynamics, Quadratic-Bilinear Systems, System Identification, Lift, Learn Approach}
    }
    

2021

  • Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.: The Loewner framework for nonlinear identification and reduction of Hammerstein cascaded dynamical systems. PAMM, no. 20, pp. e202000337, 2021
    BibTeX Link
    @article{https://doi.org/10.1002/pamm.202000337,
    author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.},
    title = {The Loewner framework for nonlinear identification and reduction of Hammerstein cascaded dynamical systems},
    journal = {PAMM},
    volume = {20},
    number = {1},
    pages = {e202000337},
    doi = {https://doi.org/10.1002/pamm.202000337},
    url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202000337},
    eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202000337},
    year = {2021}
    }
    
  • Gosea, Ion Victor and Karachalios, Dimitrios S. and Antoulas, Athanasios C.: On computing reduced-order bilinear models from time-domain data. PAMM, no. 21, pp. e202100254, 2021
    BibTeX Link
    @article{https://doi.org/10.1002/pamm.202100254,
    author = {Gosea, Ion Victor and Karachalios, Dimitrios S. and Antoulas, Athanasios C.},
    title = {On computing reduced-order bilinear models from time-domain data},
    journal = {PAMM},
    volume = {21},
    number = {1},
    pages = {e202100254},
    doi = {https://doi.org/10.1002/pamm.202100254},
    url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202100254},
    eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202100254},
    year = {2021}
    }
    
  • Peter Benner and Yevgeniya Filanova and Dimitrios Karachalios and Shaimaa Monem Abdelhafez and Jennifer Przybilla and Steffen W. R. Werner: Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme. Mitteilungen der Deutschen Mathematiker-Vereinigung, no. 29, pp. 198-204, 2021
    BibTeX Link
    @article{BennerFilanovaKarachaliosMonemAbdelhafezPrzybillaWerner+2021+198+204,
    url = {https://doi.org/10.1515/dmvm-2021-0075},
    title = {Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme},
    author = {Peter Benner and Yevgeniya Filanova and Dimitrios Karachalios and Shaimaa Monem Abdelhafez and Jennifer Przybilla and Steffen W. R. Werner},
    pages = {198--204},
    volume = {29},
    number = {4},
    journal = {Mitteilungen der Deutschen Mathematiker-Vereinigung},
    doi = {doi:10.1515/dmvm-2021-0075},
    year = {2021},
    lastchecked = {2023-04-17}
    }
    
  • Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.: Data-driven (Bilinear) identification and reduction. PAMM, no. 20, pp. e202000346, 2021
    BibTeX Link
    @article{https://doi.org/10.1002/pamm.202000346,
    author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.},
    title = {Data-driven (Bilinear) identification and reduction},
    journal = {PAMM},
    volume = {20},
    number = {S1},
    pages = {e202000346},
    doi = {https://doi.org/10.1002/pamm.202000346},
    url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202000346},
    eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202000346},
    year = {2021}
    }
    

2019

  • Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.: A bilinear identification-modeling framework from time domain data. PAMM, no. 19, pp. e201900246, 2019
    BibTeX Link
    @article{https://doi.org/10.1002/pamm.201900246,
    author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.},
    title = {A bilinear identification-modeling framework from time domain data},
    journal = {PAMM},
    volume = {19},
    number = {1},
    pages = {e201900246},
    doi = {https://doi.org/10.1002/pamm.201900246},
    url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201900246},
    eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.201900246},
    year = {2019}
    }
    

2018

  • Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.: Data-driven approximation methods applied to non-rational functions. PAMM, no. 18, pp. e201800368, 2018
    BibTeX Link
    @article{https://doi.org/10.1002/pamm.201800368,
    author = {Karachalios, Dimitrios S. and Gosea, Ion Victor and Antoulas, Athanasios C.},
    title = {Data-driven approximation methods applied to non-rational functions},
    journal = {PAMM},
    volume = {18},
    number = {1},
    pages = {e201800368},
    doi = {https://doi.org/10.1002/pamm.201800368},
    url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201800368},
    eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.201800368},
    year = {2018}
    }
    

Book Chapters

2021

  • Karachalios, D. S. 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, Springer International Publishing,, Cham,, 2021
    BibTeX Link
    @Inbook{Karachalios2021,
    author="Karachalios, D. S.
    and Gosea, I. V.
    and Antoulas, A. C.",
    editor="Benner, Peter
    and Breiten, Tobias
    and Fa{\ss}bender, Heike
    and Hinze, Michael
    and Stykel, Tatjana
    and Zimmermann, Ralf",
    title="On Bilinear Time-Domain Identification and Reduction in the Loewner Framework",
    bookTitle="Model Reduction of Complex Dynamical Systems",
    year={2021},
    publisher="Springer International Publishing",
    address="Cham",
    pages={3-30},
    doi="10.1007/978-3-030-72983-7_1",
    url="https://doi.org/10.1007/978-3-030-72983-7_1"
    }
    
  • Dimitrios S. Karachalios and Ion Victor Gosea and Athanasios C. Antoulas: 6 The Loewner framework for system identification and reduction. in Volume 1 System- and Data-Driven Methods and Algorithms, pp. 181-228, De Gruyter, Berlin, Boston, 2021
    BibTeX Link
    @inbook{KarachaliosGoseaAntoulas+2021+181+228,
    url = {https://doi.org/10.1515/9783110498967-006},
    title = {6 The Loewner framework for system identification and reduction},
    booktitle = {Volume 1 System- and Data-Driven Methods and Algorithms},
    author = {Dimitrios S. Karachalios and Ion Victor Gosea and Athanasios C. Antoulas},
    editor = {Peter Benner and Stefano Grivet-Talocia and Alfio Quarteroni and Gianluigi Rozza and Wil Schilders and Luís Miguel Silveira},
    publisher = {De Gruyter},
    address = {Berlin, Boston},
    pages = {181--228},
    doi = {doi:10.1515/9783110498967-006},
    isbn = {9783110498967},
    year = {2021},
    lastchecked = {2023-04-17}
    }
    

Presentations

2022

  • Karachalios, D. S. and Gosea, I. V. and Gkimisis, L. and Antoulas, A. C.: Data-driven quadratic modeling in the Loewner framework. arXiv, 2022
    BibTeX Link
    @misc{KGGA2022,
      doi = {10.48550/ARXIV.2211.10635},
      url = {https://arxiv.org/abs/2211.10635},
      author = {Karachalios, D. S. and Gosea, I. V. and Gkimisis, L. and Antoulas, A. C.},
      keywords = {Dynamical Systems (math.DS), FOS: Mathematics, FOS: Mathematics, 93B15, 93C15, 93C10, 65F45},
      title = {Data-driven quadratic modeling in the Loewner framework},
      publisher = {arXiv},
      note = {Submitted to SIADS Journal 17.11.2022, status: In Review},
      year = {2022},
      copyright = {arXiv.org perpetual, non-exclusive license}
    }
    
  • Dimitrios S. Karachalios and Ion Victor Gosea and Kirandeep Kour and Athanasios C. Antoulas: Bilinear realization from input-output data with neural networks. 2022
    BibTeX
    @misc{karachalios2022bilinear,
          title={Bilinear realization from input-output data with neural networks}, 
          author={Dimitrios S. Karachalios and Ion Victor Gosea and Kirandeep Kour and Athanasios C. Antoulas},
          year={2022},
          eprint={2208.10124},
          archivePrefix={arXiv},
          primaryClass={math.DS}
    }
    

2017

  • D. S. Karachalios and I. V. Gosea and Q. Zhang and A. C. Antoulas: Case study: Approximations of the Bessel Function. 2017
    BibTeX
    @misc{karachalios2017case,
          title={Case study: Approximations of the Bessel Function}, 
          author={D. S. Karachalios and I. V. Gosea and Q. Zhang and A. C. Antoulas},
          year={2017},
          eprint={1801.03390},
          archivePrefix={arXiv},
          primaryClass={math.NA}
    }