Konrad Mundinger

I currently work on (approximately) solving large-scale PDE-constrained optimization problems using dynamic programming and physics-informed neural networks. This brings together many of my research interests, which include but are not limited to: Continuous (convex) optimization, Stochastics, Control Theory, Numerics of PDEs, and (Scientific) machine learning.

📬 Contact

office
Room 3027 at ZIB
e-mail
languages
German, English, Polish, and Spanish

🎓 Curriculum vitae

since 2023
Researcher at TUB
Dec 2020
M.Sc. in Mathematics at TUB
Mar 2017
B.Sc. in Business Mathematics at TUB

📝 Publications and preprints

Preprints

  1. Mundinger, K., Zimmer, M., and Pokutta, S. (2024). Neural Parameter Regression for Explicit Representations of PDE Solution Operators. [arXiv]
    [BibTeX]
    @misc{NeuralRegressionPDE2024,
      archiveprefix = {arXiv},
      eprint = {2403.12764},
      primaryclass = {cs.LG},
      year = {2024},
      author = {Mundinger, Konrad and Zimmer, Max and Pokutta, Sebastian},
      title = {Neural Parameter Regression for Explicit Representations of PDE Solution Operators}
    }

Conference proceedings

  1. Mundinger, K., Pokutta, S., Spiegel, C., and Zimmer, M. (2024). Extending the Continuum of Six-Colorings. Proceedings of Discrete Mathematics Days. [URL] [arXiv]
    [BibTeX]
    @inproceedings{mpsz_hadwigernelsonspectrum_24:1,
      year = {2024},
      booktitle = {Proceedings of Discrete Mathematics Days},
      url = {https://dmd2024.web.uah.es/files/abstracts/paper_27.pdf},
      archiveprefix = {arXiv},
      eprint = {2404.05509},
      author = {Mundinger, Konrad and Pokutta, Sebastian and Spiegel, Christoph and Zimmer, Max},
      title = {Extending the Continuum of Six-Colorings}
    }

Full articles

  1. Mundinger, K., Pokutta, S., Spiegel, C., and Zimmer, M. (2024). Extending the Continuum of Six-Colorings. Geombinatorics Quarterly, XXXIV. [URL] [arXiv]
    [BibTeX]
    @article{mpsz_hadwigernelsonspectrum_24,
      year = {2024},
      journal = {Geombinatorics Quarterly},
      volume = {XXXIV},
      url = {https://geombina.uccs.edu/past-issues/volume-xxxiv},
      archiveprefix = {arXiv},
      eprint = {2404.05509},
      author = {Mundinger, Konrad and Pokutta, Sebastian and Spiegel, Christoph and Zimmer, Max},
      title = {Extending the Continuum of Six-Colorings}
    }

🔬 Projects

Decomposition Methods for Mixed-integer Optimal Control

In this project, we study domain decomposition approaches for optimal control in gas transport networks. Our goal is to couple space-time-domain decomposition with machine learning and mixed-integer programming. We will develop NeTI (Network Tearing and Interconnection), a data-driven and physics-informed algorithm combining mixed-integer nonlinear programming, surrogate model learning, and graph decomposition strategies.

TRR-154 A05
Jan 2022 to Jun 2026
3
2

💬 Talks and posters

Conference and workshop talks

May 2024
Neural Parameter Regression for Explicit Representations of PDE Solution Operators
Workshop on AI4DifferentialEquations in Science @ ICLR 2024, Vienna

Research seminar talks

May 2024
Learning Operators Via Hypernetworks
Research Seminar Numerical Analysis of Stochastic and Deterministic Partial Differential Equations, Berlin

👨‍🏫Teaching

summer 2024
Assistant for Analysis 1 and Linear Algebra for Engineers at TUB
winter 2020
Tutor for Analysis II for Engineers at TUB
summer 2020
Tutor for Probability Theory at TUB
winter 2019
Tutor for Analysis and Linear Algebra for Engineers at TUB
summer 2019
Tutor for Probability Theory at TUB
winter 2018
Tutor for Analysis II for Engineers at TUB
summer 2018
Tutor for Analysis I for Engineers at TUB

📝 Organization and outreach

2023
Assisted in the organization of workshop for MATH+ Thematic Einstein Semester in Berlin