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SUMMARY:Machine Learning Solutions to the Yang Baxter Equation - Shailesh 
 Lal (Beijing Institute of Mathematical Sciences and Applications)
DTSTART:20231106T113000Z
DTEND:20231106T123000Z
UID:TALK201790@talks.cam.ac.uk
DESCRIPTION:We develop a novel neural network architecture\, inspired in p
 art by Siamese Networks\, that learns solutions to the Yang Baxter equatio
 n for R matrices of difference form. This method already enables us to lea
 rn all solution classes of the 2d Yang Baxter equation. We propose and tes
 t paradigms for exploring the landscape of Yang Baxter equation solution s
 pace aided by these methods. Further\, we shall also comment on the applic
 ation of these methods to generating new solutions of the Yang Baxter equa
 tion. The talk is based on joint work with Suvajit Majumder and Evgeny Sob
 ko available in part in arXiv:2304.07247.
LOCATION:External
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