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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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Implementation Challenges and Strategies for Hebbian Learning in Convolutional Neural Networks

Optical Memory and Neural Networks (Information Optics). 2023. Vol. 32. P. S252–S264.
A. V. Demidovskij, M. S. Kazyulina, Salnikov I. G., A. M. Tugaryov, A. I. Trutnev, S. V. Pavlov

Given the unprecedented growth of deep learning applications, training acceleration is becoming a subject of strong academic interest. Hebbian learning as a training strategy alternative to backpropagation presents a promising optimization approach due to its locality, lower computational complexity and parallelization potential. Nevertheless, due to the challenging optimization of Hebbian learning, there is no widely accepted approach to the implementation of such mixed strategies. The current paper overviews the 4 main strategies for updating weights using the Hebbian rule, including its widely used modifications—Oja’s and Instar rules. Additionally, the paper analyses 21 industrial implementations of Hebbian learning, discusses merits and shortcomings of Hebbian rules, as well as presents the results of computational experiments on 4 convolutional networks. Experiments show that the most efficient implementation strategy of Hebbian learning allows for acceleration and memory consumption when updating DenseNet121 weights compared to backpropagation. Finally, a comparative analysis of the implementation strategies is carried out and grounded recommendations for Hebbian learning application are formulated.

Research target: Computer Science Mathematics
Language: English
DOI
Text on another site
Keywords: hebbian learninglocalized learning
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