Neural network architectures based on the classical XY model

Nikita Stroev, Natalia G. Berloff

Research output: Contribution to journalArticlepeer-review


Classical XY model is a lattice model of statistical mechanics notable for its universality in the rich hierarchy of the optical, laser, and condensed matter systems. We show how to build complex structures for machine learning based on the XY model's nonlinear blocks. The final target is to reproduce the deep learning architectures, which can perform complicated tasks usually attributed to such architectures: speech recognition, visual processing, or other complex classification types with high quality. We developed a robust and transparent approach for the construction of such models, which has universal applicability (i.e., does not strongly connect to any particular physical system) and allows many possible extensions, while at the same time preserving the simplicity of the methodology.

Original languageEnglish
Article number205435
JournalPhysical Review B
Issue number20
Publication statusPublished - 15 Nov 2021


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