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June 5, 2026
Neural Network Maps as a Method for Constructing Mathematical Models
Scientists from HSE University–Nizhny Novgorod and the Institute of Physics Belgrade, Serbia, are jointly exploring the application of machine learning techniques and neural networks to the study of nonlinear dynamics. Natalya Stankevich, Leading Research Fellow at the Laboratory of Topological Methods in Dynamics of the Faculty of Informatics, Mathematics, and Computer Science at HSE University–Nizhny Novgorod, spoke to the HSE News Service about this international project.
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Researchers from the AI and Digital Science Institute at the HSE Faculty of Computer Science have developed a new compression method for large language models such as GPT and LLaMA that reduces their size by 25–36% without additional training or significant loss of accuracy. This is the first approach to use mathematical transformations—specifically, rotations of model weights—to make models more amenable to compression with structured matrices. The study results have been published in ACL Findings 2025. The code is available on GitHub.

 

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On β-function of N = 2 supersymmetric integrable sigma-models

Journal of High Energy Physics. 2024. Vol. 5. Article 297.
Alfimov M., Kalinichenko I., Litvinov A.

We study the regularization scheme dependence of Kähler (N=2) supersymmetric sigma models. At the one-loop order the metric beta-function is the same as in the non-supersymmetric case and it coincides with the Ricci tensor. The first correction in the MS scheme is known to appear in the fourth loop. We show that for certain integrable Kähler backgrounds, such as the complete T-dual of eta-deformed CP(n) sigma models, there is a scheme in which the fourth loop contribution vanishes.

Research target: Physics
Language: English
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Keywords: ренормгруппаIntegrable Field TheoriesSigma ModelsRenormalization Groupинтегрируемые теории полясигма-модели
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