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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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Non-Arrhenius diffusion in bcc titanium: vacancy-interstitialcy model

Physical Review B: Condensed Matter and Materials Physics. 2020. Vol. 102. P. 184110-1–184110-8.
Smirnov G.

Anomalous diffusion in some bcc metals is the long-standing topic in material science. In this work, I obtain the temperature dependence of the self-diffusion coefficient in bcc titanium directly from molecular dynamics (MD) calculation. MD simulations indicate that both vacancies and self-interstitials contribute to diffusivity in bcc Ti. The resultant self-diffusion coefficient is non-Arrhenius, but shows less curvature than observed in most experiments.

Research target: Physics
Language: English
DOI
Keywords: anomalous diffusion molecular dynamics
Publication based on the results of:
Methods for the analysis of the supercomputer efficiency, novel parallel algorithms for molecular dynamics calculations and modeling of transport processes in liquids and biomembranes (2020)
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