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Анализ паттернов: диффузионно-инвариантная паттерн-кластеризация
Проблемы управления. 2016. № 4. С. 2–9.
The paper presents a modification of the pattern analysis method that allows allocating separate clusters of objects with similar structure as well as with close values of their parameters. A description of the method and its algorithm realization are given.
Селянин Ф. И., Journal of Dynamical and Control Systems 2026 Vol. 32 No. 2 P. 1–16
A B-facet is a lattice -dimensional polytope in the positive octant with a positive normal covector, such that every -dimensional simplex with vertices in it is a B-simplex (i.e., a pyramid of height one with base on a coordinate hyperplane). B-facets were introduced in [2] in the context of the monodromy conjecture. In this paper, we complete the ...
Added: May 21, 2026
Denis Seliutskii, Russian Journal of Mathematical Physics 2025 Vol. 32 No. 2 P. 399–407
In this paper, we find an upper bound for the first Steklov eigenvalue for a surface of revolution with boundary consisting of two spheres of different radii. Moreover, we prove that, in some cases, this boundary is sharp. ...
Added: May 19, 2026
Жакупов О. Б., European Journal of Mathematics 2025 Vol. 11 Article 84
We provide examples of smooth three-dimensional Fano complete intersections of degree 2, 4, 6, and 8 that have absolute coregularity 0. Considering the main theorem of Avilov, Loginov, and Przyjalkowski (CNTP 18:506–577, 2024) on the remaining 101 families of smooth Fano threefolds, our result implies that each family of smooth Fano threefolds has an element of absolute ...
Added: May 18, 2026
Gonchenko S., Lerman L., Turaev D., Regular and Chaotic Dynamics 2026 Vol. 31 No. 3 P. 349–369
We show that bifurcations of four-dimensional symplectic diffeomorphisms with a quadratic homoclinic tangency to a saddle periodic orbit with real multipliers produce 2-elliptic periodic orbits if the tangency is not partially hyperbolic. We show that a normal form for the rescaled first-return maps near such tangency is given by a four-dimensional symplectic H´enonlike map and study bifurcations of the ...
Added: May 15, 2026
Aleskerov F. T., Khutorskaya O., Stepochkina A. et al., Springer, 2026.
The book contains new models of bibliometric analysis based on centrality measures in network analysis, pattern analysis and stability analysis. A distinctive feature of these centrality measures is that they account for the parameters of vertices and group influence of vertices to a vertex. This reveals specific groups of publications, authors, terms, journals and affiliations ...
Added: May 15, 2026
Kuptsov P., Panyushev A., Stankevich N., Chaos 2026 Vol. 36 No. 5 Article 053138
We develop a machine-learning approach to reproduce the behavior of two versions of the van der Pol oscillator exhibiting a subcritical Andronov–Hopf bifurcation, with or without a codimension-2 Bautin point. We construct a neural-network model that functions as a recur rent map and train it on short segments of oscillator trajectories. The results show that, ...
Added: May 15, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Lebedev V., Journal of Mathematical Analysis and Applications 2026 Vol. 563 No. 2 Article 130787
It is known that for every continuous real-valued
function $f$ on the circle $\mathbb T=\mathbb R/2\pi\mathbb Z$ there exists a
change of variable, i.e., a self-homeomorphism $h$ of $\mathbb T$, such that
the superposition $f\circ h$ is in the Sobolev space $W_2^{1/2}(\mathbb T)$.
We obtain new results on simultaneous improvement of functions by a single
change of variable in relation ...
Added: May 14, 2026
Blokh A., Oversteegen L., Selinger N. et al., Arnold Mathematical Journal 2026 Vol. 12 No. 1 P. 60–110
We describe a model for the boundary of the connectedness locus of the parameter space of cubic symmetric polynomials. We show that there exists a monotone continuous function from the connectedness locus to the model which is a homeomorphism if the former is locally connected. ...
Added: May 13, 2026
Petrov I., Автоматика и телемеханика 2026 № 6 С. 82–118
Системам связанных агентов и сетевому управлению посвящено большое число отечественных и зарубежных исследований. Исторически, наибольший интерес в теории управления возникал к усредняющим системам и, в частности, к задаче консенсуса. Однако сетевое взаимодействие может характеризоваться более специфическими функциями, отражающими зависимость от действий соседей по сети, что особенно явно проявляется в моделях стратегического взаимодействия на сети, которое ...
Added: May 12, 2026
М.: ООО «Макс Пресс», 2026.
В настоящем сборнике представлены тезисы докладов участников семинара "Интеграция основного и дополнительного физико-математического образования", проходившего 11 февраля 2026 года в ГБОУ Школа №2007 ФМШ г. москвы, а также другие публикации, посвящённые вопросам дополнительного физико-математического образования. ...
Added: May 11, 2026
Novikov R., V. N. Sivkin, Inverse Problems 2026 Vol. 42 No. 4 Article 045009
We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for
the Helmholtz equation in an exterior region in Rd, d ⩾ 2. In this region, we consider a hyperplane X with sufficiently large distance s from the origin in Rd. We give two-point local formulas
for approximate recovering the radiation ...
Added: May 11, 2026
Hecht M., Hofmann P., Wicaksono D. et al., IMA Journal of Numerical Analysis 2026 Vol. 00 P. 1–30
Recent advances in Bernstein—Walsh theory have extended Bernstein’s Theorem to multiple dimensions, stating that a multivariate function can be approximated with a geometric rate in a downward-closed polynomial space if and only if it is analytic in a generalized Bernstein polyellipse. To compute approximations of this class of functions—which we term Bos–Levenberg–Trefethen–(BLT) functions—we extend the ...
Added: May 11, 2026
Kelbert M., Kalimulina E. Y., Entropy 2026 Vol. 28 Article 536
We study binary hypothesis testing for i.i.d. observations under a multiplicative context
weight. For the optimal weighted total loss, defined as the sum of weighted type-I and typeII losses, we prove the logarithmic asymptotic L∗n = exp{−nDwC (P,Q) + o(n)}, n →∞, where Dw
C is the weighted Chernoff information. The single-letter form of the exponent
relies on ...
Added: May 7, 2026
Porosenkov G., Цепелевич М. М., Кизяков Д. А. et al., Информатика и образование 2025 Т. 40 № 2 С. 57–65
Research on learner engagement in massive open online courses (MOOCs) has predominantly focused on those developed by educational and non-profit organizations. However, the significance of MOOCs offered by IT service providers (vendors), particularly in the field of cloud computing, has gained prominence in recent years. These vendor-led courses facilitate interaction between learners and vendors, underscoring the ...
Added: January 18, 2026
Dávila Bolliger R., Brandão Fischer B., Ferreira de Faria A. et al., The Journal of Technology Transfer 2025 Vol. 50 P. 1461–1490
Science and Technology Parks (STPs) have become popular instruments among policymakers worldwide. Yet, empirical studies have questioned the effectiveness of STPs in generating the desired impacts on tenant companies and in regional development. Recent literature attributes these conditions to a lack of focus on the inherent heterogeneity of STPs and their respective tenants. This research ...
Added: November 12, 2025
Сурова К. В., Aleskerov F. T., Solodkov V. M. et al., Журнал Новой экономической ассоциации 2025 № 1(66) С. 76–96
В работе предлагается метод анализа данных в применении к исследо- ванию моделей поведения банков России в период до и во время пандемии коронавирус- ной инфекции. Исследование включает в себя источники данных с временными рядами показателей по модели CAMEL в период 2017–2021 гг. Система CAMEL является наибо- лее авторитетной и используется регуляторами для оценки и управления ...
Added: November 11, 2025
Alexey Myachin, Studies in Systems, Decision and Control 2025 Vol. 615 P. 12–20
In this paper, we introduce a refined and rigorous methodological framework for the validation and quality assessment of pattern analysis outcomes. Our approach synergistically integrates a formal algorithmic model with novel conceptual constructs - specifically, the notions of the empty pattern and pattern complexity. A comprehensive array of metric approaches is employed to evaluate pattern analysis ...
Added: November 5, 2025
Кулеш А. А., Мехряков С. А., Демин Д. А. et al., Неврология и нейрохирургия Восточная Европа 2025 Т. 15 № 3 С. 436–445
The etiology of ischemic stroke is extremely diverse. According to the SSS-TOAST classification, ischemic stroke can be caused by atherosclerotic lesions of large arteries, cardiogenic thromboembolism, occlusion of small arteries (lacunar), other established (dissection, cerebral venous thrombosis, migraine, reversible cerebral vasoconstriction syndrome, antiphospholipid syndrome, etc.), and unspecified causes. Strokes of unknown etiology may be caused ...
Added: October 20, 2025
Gabdukaev E., Naidenova I. N., Parshakov P., Общество и экономика 2025 № 10 С. 39–55
This study presents a systematic analysis of 7,566 articles from international peer-reviewed journals on transport infrastructure and economic development. Using machine-learning and cluster-analysis techniques, it identifies the field’s key research directions. The results reveal four dominant thematic clusters: sustainable transport, digitalisation, regional corridors and decarbonisation. Topic-trend analysis shows a rapid surge of interest in the ...
Added: October 10, 2025
Storchevoy M., Mylnikov L., Чернышев В. В. et al., / SSRN. Серия "Working Papers". 2025.
Внимание к охране природы принимает все большую значимость для бизнеса с одной стороны в связи с ужесточением в природоохранном законодательстве, а с другой в связи с использованием ESG рейтингов при принятии решений о коммерческой деятельности компаний. Составление рейтинга LLM систем, способных оказывать консультационные услуги в области природоохраны и ESG, позволяет осуществить выбор такой системы для ...
Added: September 18, 2025
Бураков Н. А., Якобсон Л. И., Вопросы экономики 2025 № 9 С. 27–42
The paper justifies the need to address sustainable characteristics of both individual and collective participants in the processes economic development strategic planning (EDSP), while extant research mostly focuses on structural and organizational issues. Our study shows the relevance of applying the concept of strategic culture with regard to EDSP, although currently it is used by ...
Added: September 11, 2025
Boboshko D., Treistar D., Kulapova A., Lecture Notes in Networks and Systems 2024 No. 1092
The article presents the results of a study of the conceptual apparatus used in describing the processes of formation and functioning of banking ecosystems. Advanced search filters were applied to select the most relevant scientific literature, which made it possible to objectively narrow and clarify the scope of bibliometric research. The content of more than ...
Added: May 26, 2025
Sokolov B., / Series OSF "SocArXiv". 2025.
This paper reviews various estimands used in modern scientific and applied research to operationalize causal inquiries within the Rubin Causal Model framework. I first introduce the most widely utilized average treatment effects, such as ATE, ATT, and ATC. I then describe their popular extensions, including those targeting local and conditional treatment effects; causal interactions and mediation; effects ...
Added: May 6, 2025