Current Group Member

M.Sc. Viktor Martinek

PhD Student

Current and Upcoming Projects

Recent Completed Projects

Publications

  • Machine learning for thermodynamic property modeling Proceedings
    Roland Herzog and Viktor Martinek
    Oberwolfach Reports 23(2) · 2026
    doi:10.4171/owr/2026/26
    BibLaTeX 
    @ARTICLE{HerzogMartinek:2026:1,
  AUTHOR = {Herzog, Roland and Martinek, Viktor},
  EDITOR = {Ghattas, Omar and Heinkenschloss, Matthias and Reich, Sebastian and Schillings, Claudia},
  PUBLISHER = {European Mathematical Society Publishing House},
  BOOKTITLE = {Workshop: Mathematical Foundation of Digital Twins},
  DATE = {2026-10},
  DOI = {10.4171/owr/2026/26},
  JOURNALTITLE = {Oberwolfach Reports},
  NUMBER = {2},
  TITLE = {Machine learning for thermodynamic property modeling},
  VOLUME = {23},
}
  • Symbolic regression for shared expressions – introducing partial parameter sharing Proceedings
    Viktor Martinek and Roland Herzog
    Parallel Problem Solving from Nature – PPSN XIX, p.251-266 · 2026
    arXiv:2601.04051 doi:10.1007/978-3-032-36229-2_16
    BibLaTeX 
    @INPROCEEDINGS{MartinekHerzog:2026:2,
  AUTHOR = {Martinek, Viktor and Herzog, Roland},
  PUBLISHER = {Springer Nature Switzerland},
  BOOKTITLE = {Parallel Problem Solving from Nature -- PPSN XIX},
  DATE = {2026-08},
  DOI = {10.1007/978-3-032-36229-2_16},
  EPRINT = {2601.04051},
  EPRINTTYPE = {arXiv},
  PAGES = {251--266},
  TITLE = {Symbolic regression for shared expressions -- introducing partial parameter sharing},
}
  • A shared expression to predict monomer consumption in itaconate–acrylate radical copolymerizations developed with symbolic regression Preprint
    Viktor Martinek, Marco Drache, Frederic Matussek, Moritz Baumert, Lennart Arendes, Jelena Fiosina, Ophelia Frotscher, Roland Herzog and Sabine Beuermann
    2026
    doi:10.26434/chemrxiv.15005769/v1
    BibLaTeX 
    @ONLINE{MartinekDracheMatussekBaumertArendesFiosinaFrotscherHerzogBeuermann:2026:1,
  AUTHOR = {Martinek, Viktor and Drache, Marco and Matussek, Frederic and Baumert, Moritz and Arendes, Lennart and Fiosina, Jelena and Frotscher, Ophelia and Herzog, Roland and Beuermann, Sabine},
  PUBLISHER = {American Chemical Society (ACS)},
  DATE = {2026-07},
  DOI = {10.26434/chemrxiv.15005769/v1},
  TITLE = {A shared expression to predict monomer consumption in itaconate--acrylate radical copolymerizations developed with symbolic regression},
}
  • Shape constraints in symbolic regression using penalized least squares Chapter
    Viktor Martinek, Julia Reuter, Ophelia Frotscher, Sanaz Mostaghim, Markus Richter and Roland Herzog
    Machine Learning and Principles and Practice of Knowledge Discovery in Databases, p.224-239 · 2026
    arXiv:2405.20800 doi:10.1007/978-3-032-25305-7_16
    BibLaTeX 
    @INBOOK{MartinekReuterFrotscherMostaghimRichterHerzog:2026:1,
  AUTHOR = {Martinek, Viktor and Reuter, Julia and Frotscher, Ophelia and Mostaghim, Sanaz and Richter, Markus and Herzog, Roland},
  EDITOR = {Cerrato, Mattia and Kalinauskaitė, Danguolė and Lukoševičius, Mantas and Pechenizkiy, Mykola and Šutienė, Kristina},
  PUBLISHER = {Springer Nature Switzerland},
  BOOKTITLE = {Machine Learning and Principles and Practice of Knowledge Discovery in Databases},
  DATE = {2026-05},
  DOI = {10.1007/978-3-032-25305-7_16},
  EPRINT = {2405.20800},
  EPRINTTYPE = {arXiv},
  PAGES = {224--239},
  TITLE = {Shape constraints in symbolic regression using penalized least squares},
}
  • Reference correlation of the viscosity of neon Article
    Sofia Sotiriadou, Konstantinos D. Antoniadis, Marc J. Assael, Viktor Martinek, Monika Thol and Marcia L. Huber
    International Journal of Thermophysics 47(5) · 2026
    doi:10.1007/s10765-026-03745-3
    BibLaTeX 
    @ARTICLE{SotiriadouAntoniadisAssaelMartinekTholHuber:2026:1,
  AUTHOR = {Sotiriadou, Sofia and Antoniadis, Konstantinos D. and Assael, Marc J. and Martinek, Viktor and Thol, Monika and Huber, Marcia L.},
  PUBLISHER = {Springer Science and Business Media LLC},
  DATE = {2026-04},
  DOI = {10.1007/s10765-026-03745-3},
  JOURNALTITLE = {International Journal of Thermophysics},
  NUMBER = {5},
  TITLE = {Reference correlation of the viscosity of neon},
  VOLUME = {47},
}
  • Fast symbolic regression benchmarking Chapter
    Viktor Martinek
    Advances in Swarm Intelligence, p.307-317 · 2026
    arXiv:2508.14481 doi:10.1007/978-981-95-0985-0_25
    BibLaTeX 
    @INBOOK{Martinek:2025:3,
  AUTHOR = {Martinek, Viktor},
  PUBLISHER = {Springer Nature Singapore},
  BOOKTITLE = {Advances in Swarm Intelligence},
  DATE = {2026},
  DOI = {10.1007/978-981-95-0985-0_25},
  EPRINT = {2508.14481},
  EPRINTTYPE = {arXiv},
  PAGES = {307--317},
  TITLE = {Fast symbolic regression benchmarking},
}
  • Correlation for the viscosity of methane (CH4) from the triple point to 625 K and pressures to 1000 MPa Article
    Sofia G. Sotiriadou, Konstantinos D. Antoniadis, Marc J. Assael, Viktor Martinek and Marcia L. Huber
    International Journal of Thermophysics 47(1) · 2026
    doi:10.1007/s10765-025-03690-7
    BibLaTeX 
    @ARTICLE{SotiriadouAntoniadisAssaelMartinekHuber:2025:1,
  AUTHOR = {Sotiriadou, Sofia G. and Antoniadis, Konstantinos D. and Assael, Marc J. and Martinek, Viktor and Huber, Marcia L.},
  PUBLISHER = {Springer Science and Business Media LLC},
  DATE = {2026-01},
  DOI = {10.1007/s10765-025-03690-7},
  JOURNALTITLE = {International Journal of Thermophysics},
  NUMBER = {1},
  TITLE = {Correlation for the viscosity of methane (CH4) from the triple point to 625~K and pressures to 1000~MPa},
  VOLUME = {47},
}
  • Entropy scaling of viscosity IV—application to 124 industrially important fluids Article
    Viktor Martinek, Ian Bell, Roland Herzog, Markus Richter and Xiaoxian Yang
    Journal of Chemical & Engineering Data 70(2), p.727-742 · 2025
    doi:10.1021/acs.jced.4c00451
    BibLaTeX 
    @ARTICLE{MartinekBellHerzogRichterYang:2025:1,
  AUTHOR = {Martinek, Viktor and Bell, Ian and Herzog, Roland and Richter, Markus and Yang, Xiaoxian},
  PUBLISHER = {American Chemical Society (ACS)},
  DATE = {2025-01},
  DOI = {10.1021/acs.jced.4c00451},
  JOURNALTITLE = {Journal of Chemical \& Engineering Data},
  NUMBER = {2},
  PAGES = {727--742},
  TITLE = {Entropy scaling of viscosity IV---application to 124 industrially important fluids},
  VOLUME = {70},
}
  • Unit-aware genetic programming for the development of empirical equations Proceedings
    Julia Reuter, Viktor Martinek, Roland Herzog and Sanaz Mostaghim
    Parallel Problem Solving from Nature – PPSN XVIII, p.168-183 · 2024
    arXiv:2405.18896 doi:10.1007/978-3-031-70055-2_11
    BibLaTeX 
    @INPROCEEDINGS{ReuterMartinekHerzogMostaghim:2024:2,
  AUTHOR = {Reuter, Julia and Martinek, Viktor and Herzog, Roland and Mostaghim, Sanaz},
  PUBLISHER = {Springer Nature Switzerland},
  BOOKTITLE = {Parallel Problem Solving from Nature -- PPSN XVIII},
  DATE = {2024-09},
  DOI = {10.1007/978-3-031-70055-2_11},
  EPRINT = {2405.18896},
  EPRINTTYPE = {arXiv},
  PAGES = {168--183},
  TITLE = {Unit-aware genetic programming for the development of empirical equations},
}
  • Introducing thermodynamics-informed symbolic regression – a tool for thermodynamic equations of state development Other
    Viktor Martinek, Ophelia Frotscher, Markus Richter and Roland Herzog
    2023
    arXiv:2309.02805
    BibLaTeX 
    @ONLINE{MartinekFrotscherRichterHerzog:2023:1,
  AUTHOR = {Martinek, Viktor and Frotscher, Ophelia and Richter, Markus and Herzog, Roland},
  DATE = {2023-09},
  EPRINT = {2309.02805},
  EPRINTTYPE = {arXiv},
  TITLE = {Introducing thermodynamics-informed symbolic regression -- a tool for thermodynamic equations of state development},
}
  • Proof of concept for fast equation of state development using an integrated experimental-computational approach Article
    Ophelia Frotscher, Viktor Martinek, Robin Fingerhut, Xiaoxian Yang, Jadran Vrabec, Roland Herzog and Markus Richter
    International Journal of Thermophysics 44(7) · 2023
    doi:10.1007/s10765-023-03197-z
    BibLaTeX 
    @ARTICLE{FrotscherMartinekFingerhutYangVrabecHerzogRichter:2023:1,
  AUTHOR = {Frotscher, Ophelia and Martinek, Viktor and Fingerhut, Robin and Yang, Xiaoxian and Vrabec, Jadran and Herzog, Roland and Richter, Markus},
  PUBLISHER = {Springer Science and Business Media LLC},
  DATE = {2023-05},
  DOI = {10.1007/s10765-023-03197-z},
  JOURNALTITLE = {International Journal of Thermophysics},
  NUMBER = {7},
  TITLE = {Proof of concept for fast equation of state development using an integrated experimental-computational approach},
  VOLUME = {44},
}

Software

  • Fast symbolic regression benchmarking
    Viktor Martinek
    2025
    doi:10.5281/zenodo.15469873 GitHub
    BibLaTeX 
    @SOFTWARE{Martinek:2025:1,
  AUTHOR = {Martinek, Viktor},
  URL = {https://github.com/viktmar/FastSRB/},
  DATE = {2025},
  DOI = {10.5281/zenodo.15469873},
  TITLE = {Fast symbolic regression benchmarking},
}
  • Thermodynamics-informed symbolic regression (TiSR). A tool for the thermodynamic equation of state development
    Viktor Martinek
    2023
    doi:10.5281/zenodo.8317546 GitHub
    BibLaTeX 
    @SOFTWARE{Martinek:2023:1,
  AUTHOR = {Martinek, Viktor},
  URL = {https://github.com/scoop-group/TiSR/},
  DATE = {2023},
  DOI = {10.5281/zenodo.8317546},
  TITLE = {Thermodynamics-informed symbolic regression (TiSR). A tool for the thermodynamic equation of state development},
}

Teaching

Currently Supervising

  • Denoising Equations: Continuous and Discrete Diffusion Models for Symbolic Regression M.Sc.
    Mara-Eliana Popescu · M.Sc. Data and Computer Science, Heidelberg University
    Supervision: Ullrich Köthe, Roland Herzog, Paul Sägert and Viktor Martinek