Asymmetric Hopfield neural network and twisted tetrahedron equation

Autor:	Talalaev, Dmitry V.
Rok vydání:	2018
Předmět:	Mathematical Physics Computer Science - Information Theory Mathematics - Quantum Algebra 82Bxx 16Txx 82C32
Druh dokumentu:	Working Paper
Popis:	We generalize the approach of arXiv:1805.04138 for the case of the Hopfield neural network in the recall stage on a triangular lattice with isotropic weights. It appears that some properties of this model, in particular the probability of passing a trajectory in time dynamics, obeys the Gibbs distribution with a partition function having a vertex realization. Moreover the corresponding weight matrix satisfies the TTE - some deformation of the Zamolodchikov tetrahedron equation, the latter playing the role analogous to the Yang-Baxter equation in 3-dimensional statistical models. Comment: 11 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1806.06680 Zobrazit plný text záznamu View this record from Arxiv