Empirical sparse regression on quadratic manifolds

Code for recreating the experiments in

@article{SchwerdtnerGP2024Empirical,
    authors = {P. Schwerdtner and S. Gugercin and B. Peherstorfer},
    title = {Empirical sparse regression on quadratic manifolds},
    year = {2024}
}

Installation

1. Download this repo git clone https://github.com/Algopaul/qmsr_demo.git
2. In the repository, run bash configure.sh
3. run make install

First steps

To get an understanding of the method, you can run make vlasov_example to compute a sparse quadratic manifold reconstruction of the Vlasov example we present in our paper.

To rerun our experiments you can run make run.sh; investigate and run the commands within run.sh and then run make analysis, which generates tables in data/results_tables. We report the errors in these tables in our paper.