?
Universal gradient methods for convex optimization problems
Nesterov Y.
Research Article
Language:
English
Keywords: gradient methods
Sergei P. Zhdanov, Contemporary Educational Technology 2026 No. 18(4) Article 701
Generative artificial intelligence (GenAI) recently appeared as an issue of its time which has been
changing the educational landscape at a considerable rate and opening new pathways and
challenges for educators and learners. Therefore, in terms of GenAI for education this
bibliometric analysis will characterize the change and development by mapping trends and
patterns, examining prevalent subject areas in ...
Added: October 22, 2026
Pobedonostsev A., Third World Quarterly 2026 P. 1–20
Venezuela is widely regarded as one of the most politically divided nations in Latin America. However, the mechanisms through which political polarisation facilitated the emergence of authoritarian rule under Hugo Chávez and later Nicolás Maduro remain insufficiently specified. This article develops an account of polarisation-driven autocratisation in Venezuela and examines how elite and mass polarisation ...
Added: October 21, 2026
Chepurenko A., Вестник Российского университета дружбы народов. Серия: Социология 2026 Т. 26 № 3 С. 867–887
Since the early 2020s, Russian society has undergone significant transformations driven by digitalization, foreign policy and economic shocks, and shifts in employment structures and forms of inequality. All these factors affect social stratification and, ultimately, social structure. The article is based on the analysis of publications in specialized Russian academic journals and shows how Russian ...
Added: October 20, 2026
Lev Pyatko, Sergey Aksenov, Regular and Chaotic Dynamics 2026 Vol. 31 No. 5 P. 794–813
In the circular restricted three-body problem, families of periodic and quasi-periodic orbits exist in the vicinity of the libration points and are of significant interest for practical applications. This work presents a neural network-based algorithm for orbit construction and station-keeping, applicable to both periodic and quasi-periodic orbits near collinear libration points. The method employs a ...
Added: October 19, 2026
Vorontsova T., М.: Академия, 2025.
The textbook has been prepared in accordance with the requirements of the federal state educational standards for secondary vocational education and is intended for studying the professional modules “Information Security in Information and Telecommunication Systems and Networks Using Software and Hardware‑Software Tools, Including Cryptographic Protection Tools” and “Information Security in Automated Systems Using Software and ...
Added: October 19, 2026
Naumov A., Рубцов А. С., Samsonov S. et al., Успехи математических наук 2026 Т. 81 № 4 (490) С. 161–162
Краткое сообщение рассматривает Моментные оценки для стохастической аппроксимации ...
Added: October 17, 2026
Roman Avdeev, Yulia Zaitseva, Mediterranean Journal of Mathematics 2026 Vol. 23 No. 7 Article 224
We provide an infinite series of commutative finite-dimensional Gorenstein local algebras A_n for n ≥ 2. We give an elementary proof that the maximal ideal of every algebra A_n possesses a one-dimensional subspace that is different from the socle and invariant under the automorphism group of A_n. The latter implies that the algebras A_n fail ...
Added: October 17, 2026
Gordin V. A., Efremenko D., Boundary-Layer Meteorology 2026 Vol. 192 No. 51
An inverse problem of reconstructing the turbulent exchange tensor from large archives of observed wind profiles within the Åkerblom–Ekman (A-E) model framework is investigated using high-vertical-resolution radiosonde observations. The reconstructed tensor provides improved agreement between modeled and observed wind profiles compared to classical formulations based on real turbulent exchange coefficient. Instead of the classical A-E ...
Added: October 16, 2026
Kuznetsov A. P., Sedova Y. V., Stankevich N., Chaos, Solitons and Fractals 2026 Vol. 213 No. 12 Article 119309
We analyze the interaction of a quasi-periodic subsystem, in which two-, three-, and four- frequency quasi-periodic oscillations are possible, with a chaotic subsystem. A discrete version is obtained via the Euler scheme from the corresponding flow model. The dynamics of individual subsystems are discussed, including quasi-periodic bifurcations of invariant tori and the occur rence of ...
Added: October 16, 2026
Tikhonova N. E., Дудин И. В., Вестник Российского университета дружбы народов. Серия: Социология 2026 Т. 26 № 3 С. 830–846
На данных общероссийского опроса, проведенного Институтом социологии ФНИСЦ РАН в октябре 2025 года (N = 2000), показано, что реальная адаптированность к внешним условиям и объективные показатели адаптированности к ним - разные феномены. Объективные индикаторы адаптированности обладают меньшим эвристическим потенциалом, чем те, которые учитывают восприятие человеком соотношения своих потребностей и возможностей их удовлетворения. Адаптационный потенциал россиян ...
Added: October 16, 2026
Sakevich V. I., Демографическое обозрение 2026 Т. 13 № 3 С. 4–28
The article analyzes modern legislation regarding artificial termination of pregnancy in countries around the world. Depending on the grounds on which abortion is permitted, five groups of countries are distinguished. Estimates have shown that about 60% of women of reproductive age live in countries with liberal legislation, where abortion is allowed at the request of ...
Added: October 15, 2026
Lungu M. M., Davitadze A., Frontiers in Public Health 2026 Vol. 14 Article 1919768
Malaria control in Malawi relies primarily on long-lasting insecticide-treated nets (LLITNs) and indoor residual spraying (IRS), but transmission remains heterogeneous across districts. Previous research indicates that community-based environmental management strategies, such as routine drainage maintenance, vegetation removal, and effective household waste disposal, may reduce environmental conditions conducive to malaria vector proliferation. This study investigated the ...
Added: October 15, 2026
Kasprzhak A. G., Образовательная политика 2026 Т. 26 № 3 С. 98–102
Статья посвящена вкладу педагога Анатолия Пинского в реформу российского образования начала 2000-х годов. Автор анализирует, как результаты исследования PISA-2000 и «Концепция модернизации до 2010 года» привели к запуску федерального эксперимента по профильному обучению (2003–2007). В тексте раскрываются ключевые механизмы реформы - внедрение индивидуальных учебных планов, разделение профильного и углубленного обучения, создание опорных школ. Показано, как ...
Added: October 15, 2026
Aleksei Samarin, Nazarenko A., Nazarenko D. et al., Machine Learning and Knowledge Extraction 2026 Vol. 8 No. 10 Article 330
Automated microscopic image analysis is essential for quantitative microbiology, yet manual acquisition and generic recognition models struggle with morphological variability and scene artifacts. We address both ends of this pipeline. First, we present a low-cost, open-source acquisition system, based on an Arduino UNO R3 microcontroller and NEMA 17 stepper motors, that automates focusing, magnification, and ...
Added: October 14, 2026
Parkhomenko V., Kulikova S., Buzmakov A. V., Lobachevskii Journal of Mathematics 2026 Vol. 47 No. 6 P. 2979–2992
The stability of formal concepts and its generalization as robustness are considered in the paper. We use an approximation of stability in the form of Δ-measure for fast calculations. A computationally efficient method for calculating robustness based on subcontexts is presented. We also present a new method to analytically evaluate the number of preimages for ...
Added: October 14, 2026
Nikulina Y., / Высшая школа экономики. Серия EC "Economics". 2026. № 1.
This paper estimates the impact of the international sanctions of 2014 and 2022, as well as the food embargo, on the technical efficiency of agricultural enterprises. The assessment was carried out using panel data from agricultural enterprises specializing in dairy production in the Leningrad Region for the period 2010–2023, employing stochastic frontier analysis. It is ...
Added: October 11, 2026
Nikulina Y., Jamali Jaghdani T., Götz L. et al., / Series "Working Papers". 2026.
The impact of state subsidies on Russia's post-Soviet dairy output remains controversial; this study provides an empirical analysis of that relationship. Using an unbalanced panel dataset of 123 dairy enterprises in the Leningrad Region spanning the period from 2010 to 2023, we employ stochastic frontier analysis to assess these relationships. The results indicate that subsidies ...
Added: September 30, 2026
Kapeliushnikov R., / Высшая школа экономики. Серия WP3 "Проблемы рынка труда". 2026. № WP3/2026/02.
The paper is the first attempt in the Russian literature to assess returns to platform employment in the Russian labor market. The theory offers no clear predictions regarding its impact on workers’ earnings: there might be both a premium and a penalty. We distinguish three groups of workers: employees; self-employed using internet-platforms; self-employed not using ...
Added: September 28, 2026
Levashev V., / Series arXiv "math". 2026. No. 2609.06010.
We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
Added: September 24, 2026
Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter.
By analyzing the ...
Added: September 24, 2026
Usvitskiy A., Mizyakov V., / Series "SSRN Working Paper Series". 2026.
Added: September 24, 2026
Medvedev V., / Series arXiv "math". 2026.
We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
Added: September 19, 2026
Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
Added: September 15, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026