Integration-by-parts reductions of Feynman integrals pose a frequent bottle-neck in state-of-the-art calculations in theoretical particle and gravitational-wave physics, and rely on heuristic approaches for selecting integration-by-parts identities, whose quality heavily influences the performance. In this paper, we investigate the use of machine-learning techniques to find improved heuristics. We use funsearch, a genetic programming variant based on code generation by a Large Language Model, in order to explore possible approaches, then use strongly typed genetic programming to zero in on useful solutions. Both approaches manage to re-discover the state-of-the-art heuristics recently incorporated into integration-by-parts solvers, and in one example find a small advance on this state of the art.
@article{arxiv.2502.05121,
title = {Refining Integration-by-Parts Reduction of Feynman Integrals with Machine Learning},
author = {Matt von Hippel and Matthias Wilhelm},
journal= {arXiv preprint arXiv:2502.05121},
year = {2025}
}