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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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В поле гравитации: структура и элементы публичной власти

Правоприменение. 2024. Т. 8. № 2. С. 43–52.
Larichev A., Кожевников О. А.

The subject of this study includes the approaches to the definition of the category of public power, as well as variants of its structure and elements.

The goal of the article is to compare the experience of various jurisdictions, including Russia, in the construction of public power, and to establish contemporary determinants of its structure and consequences of its expansion. Comparative and formal legal methods are mainly used to produce the results of the research.

Main results. The authors notice, that in most jurisdictions legislative attempts to give a definition of the structure of public power and to indicate the circle of its subjects entail indeterminacy and the inevitable expansion of the corresponding subject composition. That, apparently, is caused by the dynamics of the functions of public power, which determines the institutional evolution. It is not a secret that since the beginning of the 20th century the volume of functions entrusted to the state, and accordingly, to its bodies of power and management, has grown significantly. Since there are plenty of tasks and functions that correspond to the public interest, the state involves in the process not only its structural units the bodies of state power, but also private subjects. Private entities, mobile and adapted to competition and social-economic changes, are capable of more effective implementation of tasks, performance of functions and provision of services that can be administratively outsourced. In the USA, for example, this phenomenon becomes so large-scale that it sometimes referred to as "mixed administration" in academic literature. In Russia, the possible forms and limits of the involvement of private subjects in the implementation of public tasks continue to remain under question, both from a theoretical and a practical point of view.

Conclusions. Formation of the structure of public power is influenced by historical, sociocultural, and legal features of the development of states. In most jurisdictions the basis ("locus of gravity") of public power is comprised of the authorities (both of state and municipal level), in the orbit of which, depending on the need for the implementation of public functions, other subjects of law – public and private companies and even NGO’s – are included. Therefore, functional unity is the main determinant of the structure of public power mechanism.

Research target: Law Political Science, International Relations, and Public Administration
Language: Russian
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Keywords: публичная властьpublic interestпубличный интересpublic powerstructural elementsструктурные элементыprivate subjectsчастные субъекты
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