kooplearn: A Scikit-Learn Compatible Library of Algorithms for Evolution Operator Learning
Abstract
kooplearn is a machine-learning library that implements linear, kernel, and deep-learning estimators of dynamical operators and their spectral decompositions. kooplearn can model both discrete-time evolution operators (Koopman/Transfer) and continuous-time infinitesimal generators. By learning these operators, users can analyze dynamical systems via spectral methods, derive data-driven reduced-order models, and forecast future states and observables. kooplearn's interface is compliant with the scikit-learn API, facilitating its integration into existing machine learning and data science workflows. Additionally, kooplearn includes curated benchmark datasets to support experimentation, reproducibility, and the fair comparison of learning algorithms. The software is available at https://github.com/Machine-Learning-Dynamical-Systems/kooplearn.
Cite
@article{arxiv.2512.21409,
title = {kooplearn: A Scikit-Learn Compatible Library of Algorithms for Evolution Operator Learning},
author = {Giacomo Turri and Grégoire Pacreau and Giacomo Meanti and Timothée Devergne and Daniel Ordonez and Erfan Mirzaei and Bruno Belucci and Karim Lounici and Vladimir Kostic and Massimiliano Pontil and Pietro Novelli},
journal= {arXiv preprint arXiv:2512.21409},
year = {2026}
}