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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.
June 5, 2026
‘In the Age of Technology, It Is Interesting to Look into the Past and Think about What We Can Take from It
Polina Tabakova decided to apply for a Philology degree at HSE in Nizhny Novgorod because she grew up in Mari El and did not want to move far away from the Russian forests. In an interview for the Young Scientists of HSE University project, she spoke about the genre of the campus novel, the existential drama of Kolobok, and a blackout version of Eugene Onegin.
June 5, 2026
HSE Scientists Develop Method to Compress Large Language Models Without Losing Quality
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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Стабильность и выживание демократий: от гипотезы Липсета к производительности экономики

Полития: Анализ. Хроника. Прогноз. 2018. № 3. С. 87–112.
Akhremenko A. S., Petrov A., Philippov I.

This article is focused upon the survival of democratic regimes and successfulness of democratization. The dynamical mathematical model is presented in the paper. The model’s departing point is the hypothesis of S.M. Lipset  and A. Przeworski that the growth of the welfare leads to a mitigation of the interest groups` conflict over the redistribution of resources. This mitigation is met as a result of interrelated processes of broadening of a «compromise space», which is a range of mutually accepted policies, and of a convergence of different groups` preferences over the redistribution in an area of moderate policies.

The presented model illustrates how social capital (more precisely – its component responsible for trust between strangers) and institutional quality favor the stabilization of democratic regimes through the increase of economic productivity and welfare. According to the predictions of the model, total factor productivity (TFP) – understood as the opportunity of individuals and/or firms to cooperate efficiently – increases the overall wealth of the society  given the same stock of human capital. It fosters the consolidation of democracy due to reduction of social tensions and improvement of functioning of democratic mechanism of economic policy elaboration. Following these results the hypothesis of positive impact of TFP on the survival of democracy is formulated.

The hypothesis was tested by means of survival analysis on the quantitative database on episodes of democratization («Regimes in the World»). The survival analysis showed that TFP is a significant and important predictor that lowers the risk of unsuccessful ending of the democratization episode (of the return back to more autocratic regime). The increase in TFP on 10 percentage points is ceteris paribus associated to the decrease of risk of leaving the track of democratization in 1.2-1.4 times. The obtained results are robust to the changes in the model specification or in a list of control variables.

Research target: Mathematics Political Science, International Relations, and Public Administration
Priority areas: humanitarian mathematics
Language: Russian
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DOI
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Keywords: социальный капиталполитический режимдемократизацияsocial capitaldemocratizationpolitical regimeполитическая стабильностьtotal factor productivityсовокупная производительность факторов производстваpolitical stabilitydemocratic survivalLipset hypothesisвыживание демократийгипотеза Липсета
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