3 papers
math.AC2025
Comprehensive Restriction Algorithm for Hypergeometric Systems
Hiromasa Nakayama, Nobuki Takayama
An algorithm computing the restriction of a holonomic D-module to a linear subspace was given by T.Oaku in 1997. We consider a problem of computing the restriction for a given holo…
hep-th2025
Differential Space of Feynman Integrals: Annihilators and -module
Vsevolod Chestnov, Wojciech Flieger, Pierpaolo Mastrolia +3
We present a novel algorithm for constructing differential operators with respect to external variables that annihilate Feynman-like integrals and give rise to the associated $\mat…
cs.LG2024
An Application of the Holonomic Gradient Method to the Neural Tangent Kernel
Akihiro Sakoda, Nobuki Takayama
A holonomic system of linear partial differential equations is, roughly speaking, a system whose solution space is finite dimensional. A distribution that is a solution of a holono…