Accompanying sourcecode for the article
C.Offen
Machine learning of continuous and discrete variational ODEs with guaranteed convergence and uncertainty quantifications (2024)
Status: Preprint arXiv:2404.19626
Preprint on ResearchGate, ArXiv author page, Research Information System
To reproduce the experiments of the artcile (and more), run
continuous/L_Learning_CertifiedGP_RUN.jl
discrete/Ld_Learning_CertifiedGP_RUN.jl
convergence/L_Learning_CertifiedGP_oscillator_1d_convergence_DoubleFloat.jl
Further experiments to learn discrete Lagrangians may be viewed in
discrete/Ld_Learning_CertifiedGP.ipynb
Code was run in Julia Version 1.10.2
Please refer to .toml files for package versions. The convergence test was run in a different environment. For .toml files refer to the subfolder convergence
.