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SUMMARY:Evaluating Feynman integrals through differential equations: two o
pposite approaches
DTSTART:20231127T130000Z
DTEND:20231127T143000Z
DTSTAMP:20240221T193100Z
UID:indico-event-1347582@indico.cern.ch
DESCRIPTION:Speakers: Simone Zoia\n\nThe computation of Feynman integrals
is a crucial problem in high-energy physics. One of the most powerful appr
oaches is the method of differential equations\, where the integration is
traded for the solution of a system of partial differential equations. In
this talk\, I present two opposite approaches for the solution of these di
fferential equations. The first approach allows us to express the solution
in terms of a basis of special functions which can be evaluated efficient
ly. This method relies on a certain canonical form of the differential equ
ations\, which enables the use of sophisticated mathematical tools. The se
cond approach is instead aimed at differential equations of general form.
This novel method is based on the framework of physics-informed deep learn
ing\, and allows us to train a deep neural network to approximate the solu
tion using the differential equations themselves as constraints\, rather t
han relying on a large database of reference values\n\nhttps://indico.cern
.ch/event/1347582/\n\nQCD seminars: https://cern.zoom.us/j/62752332519?pwd
=cVNpK2kySnJDOCs2cVdseXZpTktTdz09
LOCATION:4/3-006 - TH Conference Room (CERN)
URL:https://indico.cern.ch/event/1347582/
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