A new method for the reconstruction of rational functions

by Dr Xiao Liu (University of Oxford)

Thursday 18 Apr 2024, 14:00 → 15:00 Europe/Zurich

Aula Caldirola (Università degli Studi di Milano)

In this talk, I will present a new method for the reconstruction of rational functions through finite-fields sampling that can significantly reduce the number of samples required. The method works by exploiting all the independent linear relations among target functions. Subsequently, the explicit solutions of the functions can be efficiently obtained by solving the linear system. I will also present some explicit examples in the context of Feynman integrals reduction  to illustrate the efficiency improvement achieved by the method.