Research - Mathematical Algorithmic Optimization

We are implementing modern mathematical algorithms in open source packages. Below is a selection of our work.

We are also the main maintainers of the benchmark library mintoc.de for mixed-integer optimal control problems, including optimal experimental design problems and inverse optimal control problems.

Selected publications

2025

software

Hahn, M.

mirhahn/pycoimset

BibTeX

DOI Web

@software{Hahn2025,
    author = {Hahn, Mirko},
    title = {mirhahn/pycoimset},
    publisher = {Zenodo},
    year = {2025},
    url = {https://github.com/mirhahn/pycoimset},
    doi = {10.5281/zenodo.14726148}
}

2024

misc

Martensen, C., Plate, C., Sager, S.

dynamicOED.jl

GitHub repository

BibTeX

Web

@misc{Martensen2024b,
    author = {Martensen, C.J. and Plate, C. and Sager, S.},
    title = {dynamicOED.jl},
    journal = {GitHub repository},
    publisher = {GitHub},
    year = {2024},
    url = {https://github.com/mathopt/DynamicOED.jl}
}

2024

article

Martensen, C. J., Plate, C., Sager, S.

DynamicOED.jl: A Julia package for solving optimum experimental design problems

Journal of Open Source Software

BibTeX

DOI

@article{Martensen2024c,
    author = {Martensen, Carl Julius and Plate, Christoph and Sager, Sebastian},
    title = {DynamicOED.jl: A Julia package for solving optimum experimental design problems},
    journal = {Journal of Open Source Software},
    publisher = {The Open Journal},
    year = {2024},
    volume = {9},
    number = {98},
    pages = {6605},
    doi = {10.21105/joss.06605}
}

2024

misc

Plate, C., Sager, S., Tetschke, M.

SecondOrderPOC.jl

GitHub repository

BibTeX

Web

@misc{secondorderpoc,
    author = {Plate, C. and Sager, S. and Tetschke, M.},
    title = {SecondOrderPOC.jl},
    journal = {GitHub repository},
    publisher = {GitHub},
    year = {2024},
    url = {https://github.com/chplate/SecondOrderPOC.jl}
}

2020

article

Bürger, A., Zeile, C., Hahn, M., Altmann-Dieses, A., Sager, S., Diehl, M.

pycombina: An Open-Source Tool for Solving Combinatorial Approximation Problems arising in Mixed-Integer Optimal Control

IFAC-PapersOnLine

BibTeX

DOI

@article{Buerger2020,
    author = {B\"urger, Adrian and Zeile, Clemens and Hahn, Mirko and Altmann-Dieses, Angelika and Sager, Sebastian and Diehl, Moritz},
    title = {pycombina: An Open-Source Tool for Solving Combinatorial Approximation Problems arising in Mixed-Integer Optimal Control},
    journal = {IFAC-PapersOnLine},
    publisher = {Elsevier BV},
    year = {2020},
    volume = {53},
    number = {2},
    pages = {6502--6508},
    doi = {10.1016/j.ifacol.2020.12.1799}
}

2016

article

Janka, D., Kirches, C., Sager, S., Wächter, A.

An SR1/BFGS SQP algorithm for nonconvex nonlinear programs with block-diagonal Hessian matrix

Mathematical Programming Computation

BibTeX

DOI

@article{Janka2016,
    author = {Janka, Dennis and Kirches, Christian and Sager, Sebastian and W\"achter, Andreas},
    title = {An {SR1/BFGS SQP} algorithm for nonconvex nonlinear programs with block-diagonal {H}essian matrix},
    journal = {Mathematical Programming Computation},
    publisher = {Springer Science and Business Media LLC},
    year = {2016},
    volume = {8},
    number = {4},
    pages = {435--459},
    doi = {10.1007/s12532-016-0101-2}
}