Speaker
Xiao Liu
(Oxford)
Description
In this talk, I present a new method for the reconstruction of
rational functions through finite-field 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. As a first application, I utilize
the method to address various examples within the context of Feynman
integrals reduction. These examples demonstrate that the method
can substantially improve the computational efficiency, making it useful
for future computations in particle physics.
Primary author
Xiao Liu
(Oxford)
