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Схема перестановок с заданным разбросом ее фиксированных элементов
Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии. 2024. № 4. С. 55–60.
Enatskaya N.
A given range of fixed elements of a permutation means a certain number of elements between the elements located at the extremes in the permutation in each sequence. The proposed scheme is analyzed in the pre-asymptotic region of feasible parameter values using the enumerative method designed by the author, i. e., the enumerative combinatorics problems of finding the number of its outcomes, their non-repeated numbered enumeration, finding one-to-one correspondence between the types of outcomes and their numbers, determining the probabilities of outcomes are solved and a procedure for their universal modelingis proposed.
K e y w o r d s: permutation scheme; range of fixed elements of permutation; numbering problem; modeling
Tyukin I., Tyukina T., van Helden D. P. et al., Information Sciences 2024 Vol. 678 Article 120856
AI errors pose a significant challenge, hindering real-world applications. This work introduces a novel approach to cope with AI errors using weakly supervised error correctors that guarantee a specific level of error reduction. Our correctors have low computational cost and can be used to decide whether to abstain from making an unsafe classification. We provide ...
Added: May 23, 2026
Zaikin A., Sviridov I., Sosedka A. et al., Technologies 2026 Vol. 14 No. 2 Article 84
High-dimensional tabular data are common in biomedical and clinical research, yet conventional machine learning methods often struggle in such settings due to data scarcity, feature redundancy, and limited generalization. In this study, we systematically evaluate Synolitic Graph Neural Networks (SGNNs), a framework that transforms high-dimensional samples into sample-specific graphs by training ensembles of low-dimensional pairwise ...
Added: May 23, 2026
Kibkalo Vladislav, Chertopolokhov V., Mukhamedov A. et al., IEEE Access 2026 Vol. 14 P. 14369–14392
This study presents on-the-fly identification and multi-step prediction of nonlinear systems with delayed inputs using a dynamic neural network combined with a smooth projection onto ellipsoids. The projection enforces parameter constraints that guarantee stability, while a Lyapunov–Krasovskii analysis yields computable ultimate error bounds. Riccati-type matrix inequalities are derived, providing an efficient vectorization–projection–devectorization implementation suitable for ...
Added: May 22, 2026
Морозов С. В., Calcolo 2026 Vol. 63 No. 2 Article 23
The approximation of tensors in a low-para metric format is a crucial component in many mathematical modelling and data analysis tasks. Among the widely used low-parametric representations, the canonical polyadic (CP) decomposition is known to be very efficient. Nowadays, most algorithms for CP approximation aim to construct the approximation in the Frobenius norm; however, some ...
Added: May 22, 2026
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
Ausubel L., Baranov O., Journal of Economic Theory 2026 Vol. 235 No. 106192
The Vickrey-Clarke-Groves (VCG) mechanism is one of the most compelling constructs in mechanism design, but the presence of complementary goods creates the possibility of non-core and even zero-revenue outcomes. In this article, we show that joint feasibility constraints on allocations offer a second pathway to ill-behaved outcomes in the VCG mechanism, even when all bidders ...
Added: May 20, 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
Zanko G., Nazarova V., MULTIDISCIPLINARY SCIENCE JOURNAL 2026 Vol. 8 No. 10 P. e2026780
The corporate cash management problem (CMP) constitutes a critical operational challenge focused on determining the optimal sequence of transactions between liquid cash holdings and alternative investment assets. The primary objective is to maintain sufficient liquidity to meet obligations while simultaneously minimizing the aggregate costs associated with idle capital and transaction execution. Despite profound theoretical advancements ...
Added: May 10, 2026
Беляев Н. Д., Лебедев В. В., Нуднер И. С. et al., Гидротехническое строительство 2025 № 11 С. 50–58
This paper presents a description of the experimental methodology and the results of experiments on the physical modeling of the interaction of long tsunami-type waves with an anchored structure. The forces in the mooring system connections under wave action are assessed. The obtained results are analyzed. Conclusions are drawn regarding the nature of the force ...
Added: March 25, 2026
Gabdrahmanov R., Tsoy T., Martinez-Garcia E. et al., , in: Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - (Volume 1) ICINCO 2024.: SciTePress, 2024. P. 511–518.
Computer simulations are growing in popularity in robotics research due to their near-zero cost of error and lower labor intensity. One of necessary components of a simulation, in addition to a robot model, is a model of a world in which the robot operates. While it is always possible to construct a world model manually, ...
Added: March 17, 2026
Khabibullin A., A. S. Pozanenko, Lobachevskii Journal of Mathematics 2025 Vol. 46 No. 4 P. 1459–1470
It is known that the light curve of a prompt emission of cosmic gamma-ray bursts consists of separate pulses. Moreover, in a real light curve these pulses often overlap so that it becomes impossible to study separately the pulses in each light curve. However, spectral analysis, in particular, the power spectral density (PSD) of light ...
Added: February 20, 2026
Ilyanova D. S., Nazarov I., Yelizarov (Elizarov) A. A. et al., , in: 2025 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO).: IEEE, 2025. P. 1–6.
Added: December 6, 2025
Magid E., Abbyasov B., Lavrenov R. et al., Lobachevskii Journal of Mathematics 2025 Vol. 46 No. 5 P. 2382–2395
Urban Search and Rescue (USAR) robotics deals with emergent situations that occur in urban environments due to natural and human-made disasters. To support early stages of algorithms’ testing and evaluation, we developed an easy to use USAR simulation tool (LIRS-USim) that models typical USAR missions within the Gazebo simulator. The proposed robot operating system based ...
Added: November 25, 2025
Enatskaya N., Вестник Самарского государственного технического университета. Серия: Физико-математические науки 2025 Т. 29 № 3 С. 538–553
This study investigates combinatorial substitution schemes with various constraints on cycle sizes: lower bounds, upper bounds, and two-sided bounds. For the proposed schemes, we solve several enumerative combinatorics problems: determining the number of possible outcomes, constructing direct numbered enumerations, solving numbering problems (establishing bijective correspondences between indices and types of outcomes), deriving probability distributions over ...
Added: October 26, 2025
Туханова В. Ю., Kankulov A., Костюмология 2025 Т. 9 № 4
The article presents the study focused on the development of a conceptual scientific and methodological model for designing products in the apparel and footwear industries within a digital environment. It examines the specific features of the design stages of light industry products, considering the integration of innovative technologies into higher education programs for training specialists ...
Added: October 3, 2025