# 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
- mundinger (at) zib.de

mundinger (at) math.tu-berlin.de - 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

- Mundinger, K., Zimmer, M., and Pokutta, S. (2024).
*Neural Parameter Regression for Explicit Representations of PDE Solution Operators*. [arXiv]## [BibTeX]

### Conference proceedings

- Mundinger, K., Pokutta, S., Spiegel, C., and Zimmer, M. (2024). Extending the Continuum of Six-Colorings.
*Proceedings of Discrete Mathematics Days*. [URL] [arXiv]## [BibTeX]

### Full articles

## 🔬 Projects

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.

## 💬 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