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  • Вероятность и статистика в примерах и задачах: в 3-х т.: новое издание. Основные понятия теории вероятностей и математической статистики. В 2 ч. Ч. 2.
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Subject
News
August 25, 2026
Scientists Develop Algorithm for More Reliable Processors in Data Centres
Researchers from HSE MIEM and Samara University have developed the LRF-3D algorithm to automatically bypass idle nodes in three-dimensional networks-on-chip. Thanks to its hierarchical architecture, the algorithm outperforms existing solutions in both speed and path accuracy, improving processor reliability for use in data centres, supercomputers, and AI computing. The source code and test results are publicly available.
August 24, 2026
Researchers Develop Method for Direct Generation of Regulatory DNA
Researchers at HSE University have developed a model for generating promoters and enhancers—DNA sequences that regulate gene activity. The model works directly with DNA nucleotides, without first transforming them into a continuous numerical representation. This solution could be useful for applications in synthetic biology and gene therapy. The study results were presented at the ICLR 2026 Workshop ‘Generative AI in Genomics (Gen^2): Barriers and Frontiers.’
August 21, 2026
Social Integration: At the Crossroads of Knowledge and Values
The International Laboratory for Social Integration Research (ILSIR) at HSE University studies the challenges faced by vulnerable groups and explores ways to help them participate fully in everyday life. To develop effective solutions, the laboratory’s researchers combine cutting-edge methods with practical fieldwork. In this interview with the HSE News Service, Laboratory Head Elena Iarskaia-Smirnova discusses the laboratory’s work.

 

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Вероятность и статистика в примерах и задачах: в 3-х т.: новое издание. Основные понятия теории вероятностей и математической статистики. В 2 ч. Ч. 2.

M. : MCCME, 2024.
Kelbert M., Сухов Ю. М.
Research target: Mathematics
Language: Russian
Keywords: статистические моделиметод главных компонентпроверка гипотез
Publication based on the results of:
Nonstationary random environments and their applications (2023)
Вероятность и статистика в примерах и задачах: в 3-х т.: новое издание. Основные понятия теории вероятностей и математической статистики. В 2 ч. Ч. 2.
Similar publications
Orbifold Saito theory of A and D type singularities
Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...
Added: September 1, 2026
Non-axiomatizability of modal predicate logics of Dedekind-complete linear orders with constant domains
Rybakov M., Shkatov D., Journal of Logic and Computation 2026 Vol. 36 No. 6 Article exag026
We prove Pi-1-1-hardness, and thus lack of recursive axiomatizability, of constant-domain modal predicate logics defined by a class of Dedekind complete linear Kripke frames containing a frame with an infinitely increasing chain of worlds. The result holds even for the language with one unary predicate letter, one propositional letter, and two individual variables. ...
Added: September 1, 2026
Semi-Interlaced Polytopes
Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187
Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems. Motivated by relaxing the bound dim(F)+1 to dim(F), we ...
Added: August 31, 2026
A new spin on polynomial relations among kappa classes
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146
We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...
Added: August 31, 2026
Any Topological Recursion on a Rational Spectral Curveis KP Integrable
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Communications in Mathematical Physics 2026 Vol. 407 No. 69
We prove that for any initial data on a genus zero spectral curve the cor responding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles ...
Added: August 31, 2026
Сплетенный мир: кошка перевернулась. Доклад Римскому клубу
Gromov V., Переслегин С. Б., Переслегина Е. Б. et al., СПб.: Полакс, 2026.
Механизм происходящих в мире изменений носит эволюционный, а не экологический характер. Иначе говоря, Человечество столкнулось с кризисом развития, который имеет три независимые составляющие: кризис индустриального общества (фазовый кризис), кризис научного мышления (эпистемный кризис) и кризис формата существования разума (социосистемный кризис). Доклад посвящён аспектам этого триединого кризиса и возможным путям его преодоления, не сводящимся к первичному ...
Added: August 31, 2026
Multiplicity-free products of Schubert divisors
Devyatov R. A., Mathematical notes 2026 Vol. 119 No. 3 P. 782–786
Let G/B be a flag variety over ℂ, where G is a simple algebraic group with a simply laced Dynkin diagram, and B is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it is possible to multiply it by a Schubert class ...
Added: August 30, 2026
Mukai models of Fano varieties
Bayer A., Kuznetsov A., Macrì E., Journal fuer die reine und angewandte Mathematik 2026 Vol. 2026 No. 836 P. 111–162
We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6 with at most factorial terminal singularities, and of its extension to higher dimension. ...
Added: August 30, 2026
Mukai bundles on Fano threefolds
Bayer A., Kuznetsov A., Macrì E., Compositio Mathematica 2026 Vol. 162 No. 1 P. 59–99
We give a proof of Mukai’s theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai’s biregular classification of prime Fano threefolds, and for the existence of semiorthogonal decompositions in their derived categories. Our ...
Added: August 30, 2026
Full exceptional collections on the symplectic isotropic Grassmannians
Guseva L., Novikov A., Advances in Mathematics 2026 Vol. 503 Article 111211
We prove that the Kuznetsov–Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups Sp(2n,C) are full and consist of vector bundles. To achieve this, we construct several classes of complexes, which we call generalized staircase complexes, symplectic staircase complexes and secondary staircase complexes — each of which may be of independent interest. ...
Added: August 30, 2026
Exceptional pairs on del Pezzo surfaces and spaces of compatible Feigin-Odesskii brackets
Polishchuk A., Rains E., Journal of the Institute of Mathematics of Jussieu 2026 Vol. 25 No. 1 P. 339–373
We prove that for every relatively prime pair of integers (d,r) with r>0, there exists an exceptional pair (O,V) on any del Pezzo surface of degree 4, such that V is a bundle of rank r and degree d. As an application, we prove that every Feigin-Odesskii Poisson bracket on a projective space can be ...
Added: August 30, 2026
Analog of theta-lifting for a curve over dual numbers over a finite field
Kazhdan D., Polishchuk A., Pure and Applied Mathematics Quarterly 2026 Vol. 22 No. 3 P. 1115–1166
We continue the study of automorphic functions associated with a curve C over the ring k[ε]/(ε²), where k is a finite field, begun in arXiv:2303.16259. Namely, we study an example of theta-lifting in this framework and show that it can be understood in terms of the orbit decomposition of the space of automorphic functions S(SL₂(F)\SL₂(A_C)) ...
Added: August 30, 2026
Quasi-periodic structures and "shrimps" in chaos on the example a two-mode van der Pol generator
Kuznetsov A. P., Sataev I. R., Stankevich N., Chaos 2026 Vol. 36 No. 8 Article 083131
A radio-physical system, namely, a two-mode van der Pol generator, is considered. It is shown that this system demonstrates two types of chaos: with one and two zero Lyapunov exponents. The regions of the second type of chaos are surrounded by bifurcation lines of invariant tori doubling. Quasi-periodic structures of various shapes are embedded within ...
Added: August 30, 2026
Approximation of continuous functions on a compact set by solutions of elliptic equations. Quantitative results.
Shirokov N. A., Rozenblum G., Israel Journal of Mathematics 2026 P. 1–30
We establish that a generalized H\¨older continuous function on an (m−2)-Ahlfors regular compact set in Rm can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function ...
Added: August 29, 2026
Contribution of attentional mechanisms to verbal and nonverbal communication in boys with ASD
Minnigulova A., Dragoy O., Arutiunian V., European Child and Adolescent Psychiatry 2026
Communication deficits in Autism Spectrum Disorder (ASD) involve impairments in both verbal and nonverbal domains, potentially associated with altered brain network connectivity related to language, attention, and social cognition systems. This study investigated functional connectivity patterns among the Default Mode Network (DMN), Salience Network (SN), Dorsal Attention Network (DAN), and Language Network (LN) in male children ...
Added: June 18, 2026
Оценка эффективности экспорта жидких энергоресурсов РФ
Strimovskaya A., Китцман Х., Рюмкина К. А., Контроллинг 2024 № 3(93) С. 60–70
В статье дано обоснование значимости оценки эффективности транспортно-логистической деятельности на примере компании-экспортера жидких энергоресурсов России с учетом организации продаж, логистики, инновационной деятельности, а также достижения целей и задач устойчивого развития. Подробно рассмотрены ключевые особенности оценки эффективности, отмечены «узкие» места и возможные способы их оптимизации. Предложенный перечень показателей эффективности логистических операций, характерных для экспорта жидких энергоресурсов, ...
Added: January 16, 2026
Invariants of Sochava’s Geosystem as a Basis for Landscape Mapping
A. S. Baybar, M. Yu. Puzachenko, R. B. Sandlersky, Geography and Natural Resources 2025 Vol. 46 No. S1 P. S15–S22
This article presents a methodology for landscape mapping based on the integration of long-term series of multispectral data and morphometric characteristics of the relief for various hierarchical levels. Using the example of the Central Forest Reserve and its adjacent territory, where both indigenous and anthropogenically modified geosystems are combined, it is shown that the identification ...
Added: January 14, 2026
Исследование межрегиональной дифференциации в России в контексте устойчивого развития на основе метода главных компонент
Aladyshkina A. S., Leonova L., Ушакова Е. А., Псковский регионологический журнал 2025 Т. 21 № 2 С. 35–51
В статье представлен анализ дифференциации регионов в контексте устойчивого развития. В качестве объекта исследования использовались субъекты Российской Федерации. На основе данных официальной статистики составлен авторский перечень показателей, отражающих экономическое, социальное и экологическое развитие региона с учетом оценки эффективности управления. Для выявления дифференциации территорий по выбранным характеристикам был выбран кластерный анализ с использованием метода главных компонент. ...
Added: September 4, 2025
Интегральный индикатор медиакоммуникационной индустрии: инструмент анализа новой социально-экономической категории
Vartanov S., Nefedova Y., Nefedov S., Вестник Московского университета. Серия 10: Журналистика 2025 Т. 50 № 1 С. 3–32
The paper presents a methodological framework for developing a quantitative analytical tool for a new socio-economic category – the media communication industry (MCI). The proposed tool, the integral indicator of the MCI, enables the assessment of the industry’s development level across various aspects and manifestations based on statistical data from national media communication industry databases. ...
Added: April 20, 2025
Оценка цифровой подключенности регионов России
Arkhipova M., Sirotin V., В кн.: Управление развитием крупномасштабных систем MLSD'2024 . Труды Семнадцатой международной конференции, 24–26 сентября 2024 г., Москва.: ИПУ РАН, 2024. С. 1151–1158.
Измерение универсальной цифровой подключенности на субнациональном уровне позволяет позиционировать регионы относительно других стран и их регионов и построить границы эффективности цифровизации. Результаты могут быть использованы для измерения цифрового неравенства и выявления факторов, определяющих уровень эффективного регионального цифрового развития. ...
Added: December 28, 2024
Статистические методы снижения размерности и кластеризации в экономике: учебное пособие для вузов
Т.А. Дуброва, М.А.Есенин, М.: Издательско-торговая корпорация «Дашков и Ко», 2024.
В учебном пособии представлены теоретические основы статистических методов снижения размерности и кластеризации, востребованных в экономических исследованиях. Рассмотрены метод главных компонент, методы кластерного анализа (иерархические агломеративные процедуры и различные модификации метода k-средних), позволяющие проводить многомерный статистический анализ сложных наборов данных. Приведены примеры практического применения обсуждаемых методов в экономических задачах, большое внимание уделено интерпретации результатов. Каждую главу завершают ...
Added: October 25, 2024
Композитные индексы для управления цифровизацией: Методы формирования
Makarov I., Вопросы государственного и муниципального управления 2024 № 3 С. 81–109
In the circumstances of digital transformation of the state and society, the indicative approach to analyzing and governing digitalization finds active usage. However, the characteristics of relevant data cause methodological problems, including statistical duplication. The article considers various methods for constructing composite digitalization indices based on secondary aggregation of principal components in order to overcome ...
Added: October 11, 2024
Валидность индексов «мягкой силы»: от вызовов к решениям
Гриневич П. А., Bocharova A., Stukal D., Политическая наука 2024 № 2 С. 262–281
The potential of a state in developing its “soft power” is an important component in assessing its state capacity. A nation’s “soft power” not only refers to its external attractiveness and informal influence on decisions made by other international actors, but also serves as an important indicator of a country's potential to affect the formation ...
Added: June 14, 2024
Эмпирические вызовы и методологические подходы в сравнительной политологии (сквозь призму “Политического атласа современного мира 2.0”)
Melville A. Y., Мальгин А. В., Mironyuk M. et al., Полис. Политические исследования 2023 № 5 С. 153–171
In recent decades, the expanding volume, diversity and coverage of data have created new or have transformed existing areas of research. They have also turned data into a key element of politics today. In this context, the status of empirical research that became the political science mainstream at the turn of the 20th - 21st ...
Added: September 29, 2023
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