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Applying models of imprecise probabilities in the mathematical theory of criteria importance
Automation and Remote Control. 2017. Vol. 78. No. 8. P. 1460–1473.
Bronevich A., Rozenberg I.
We show that if preferences can be defined with an additive utility function then decision making models based on the theory of criteria importance can be defined with imprecise probabilities. With this idea, we analyze new approaches to decision making in the theory of criteria importance.
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.
Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer: original packets are encoded into coded packets, and the message is reconstructed after the first successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...
Added: December 24, 2025
Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset
Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.
Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...
Added: December 1, 2025
Chernyshov D., Satanin A., Shchur L., / Series arXiv "math". 2025.
We investigate the boundary separating regular and chaotic dynamics in the generalized Chirikov map, an extension of the standard map with phase-shifted secondary kicks. Lyapunov maps were computed across the parameter space (K,K(α, τ)) and used to train a convolutional neural network (ResNet18) for binary classification of dynamical regimes. The model reproduces the known critical ...
Added: November 21, 2025
Rubchinskiy A., Chubarova D., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2025. No. WP7/2025/01.
The article examines one of the most famous examples of socio-economic systems, characterized by significant uncertainty – the S&P-500 stock market, where shares of 500 largest US companies are traded. No assumptions are made about the probabilistic characteristics of the stock market. A flexible algorithm for daily trading has been developed, based on both known fixed data ...
Added: November 9, 2025
Meshchaninov V., Strashnov, P., Shevtsov A. et al., / Cornell University. Серия CoRR, arXiv:2403.03726 "Computing Research Repository,". 2025.
Protein design requires a deep understanding of the inherent complexities of the protein universe. While many efforts lean towards conditional generation or focus on specific families of proteins, the foundational task of unconditional generation remains underexplored and undervalued. Here, we explore this pivotal domain, introducing DiMA, a model that leverages continuous diffusion on embeddings derived ...
Added: October 5, 2025
Shabalin A., Meshchaninov V., Vetrov D., / Series cs.CL, arXiv:2505.18853 "Computation and Language". 2025.
Diffusion models have achieved state-of-the-art performance in generating images, audio, and video, but their adaptation to text remains challenging due to its discrete nature. Prior approaches either apply Gaussian diffusion in continuous latent spaces, which inherits semantic structure but struggles with token decoding, or operate in categorical simplex space, which respect discreteness but disregard semantic ...
Added: October 5, 2025
Абрамов А. С., Chernyshev V. L., Mikhaylets E. et al., / Series Social Science Research Network "Social Science Research Network". 2025.
Computer vision is one of the most relevant modern research areas with broad practical applications. However, traditional solutions based on deep learning have signicant limitations and can be misleading. Topological data analysis, on the other hand, is a modern approach to solving similar problems using mathematically deterministic methods of algebraic topology that reduce the risk ...
Added: September 23, 2025
Kochetkov Y., / Series arXiv.org e-print archive "arXiv.math". 2025. No. 07600.
We demonstrate in an elementary way how to construct a frieze pattern of width m-3 from a partition of a convex m-gon
by not intersecting diagonals. ...
Added: September 17, 2025
Kochetkov Y., / Series arXiv.org e-print archive "arXiv.math". 2025. No. 20584.
We give a new proof of the following statement: the Catalan number C_n is divisible
by n+2, if n is odd and n<> 3k+1. ...
Added: September 9, 2025
Nelyubin A. P., Podinovskiy V. V., Computational Mathematics and Mathematical Physics 2025 Vol. 65 No. 4 P. 689–697
This paper continues the development of a new approach to estimating approximation
parameters in which the distance of the approximating function from a given finite set of points is estimated
by a vector criterion whose components are the moduli of the residuals at all points. Using this
vector criterion, a preference relation in terms of distance is defined, ...
Added: July 1, 2025
Нелюбин А. П., Podinovskiy V. V., Журнал вычислительной математики и математической физики 2025 Т. 65 № 4 С. 426–433
Статья продолжает развитие нового подхода к оцениванию параметров аппроксимации, при котором удаленность аппроксимирующей функции от заданного конечного множества точек оценивается векторным критерием, компонентами которого являются модули невязок во всех точках. При помощи этого векторного критерия задается отношение предпочтения в удаленности и лучшей считается аппроксимирующая функция, недоминируемая по такому отношению. В отличие от первой статьи авторов ...
Added: July 1, 2025
Nelyubin A. P., Podinovskiy V. V., Control Sciences 2024 No. 1 P. 13–17
A new approach to defining mean values based on the ideas of multicriteria optimiza-tion was proposed and developed previously; see the papers [4] and [5]. The distances between the current point and the sample points were treated as components of a vector estimate. The con-ventional approach to defining mean values involves the scalarization of vector ...
Added: March 30, 2024
Нелюбин А. П., Podinovskiy V. V., Проблемы управления 2024 № 1 С. 17–22
В статьях авторов («Проблемы управления» 2020, № 5 и 2001, № 2) предложен и развит новый подход к определению средних величин, исследованы свойства введенных средних предложены методы их построения. В данной статье, которая является непосредственным их продолжением, представлен точный численный метод построения множества одного из видов таких средних Он проиллюстрирован расчетным примером. ...
Added: March 13, 2024
Nelyubin A. P., Podinovskiy V. V., Журнал вычислительной математики и математической физики 2023 Т. 63 № 5 С. 717–730
Развит новый подход к оцениванию параметров аппроксимации, при котором удаленность аппроксимирующей функции от заданного конечного множества точек оценивается векторным критерием, компонентами которого являются модули невязок во всех точках. При помощи этого критерия задается отношение предпочтения в удаленности и лучшей считается аппроксимирующая функция, недоминируемая по такому отношению. Изучена аппроксимация для нескольких отношений предпочтения, в том числе ...
Added: July 3, 2023
A. P. Nelyubin, V. V. Podinovski, Computational Mathematics and Mathematical Physics 2023 Vol. 63 No. 5 P. 730–742
A new approach to estimating approximation parameters is developed. In this approach, the
distance of the approximating function from a given finite set of points is estimated by a vector criterion
the components of which are the absolute values of residuals at all points. Using this criterion, the
remoteness preference relation is defined, and the nondominated function with ...
Added: June 9, 2023
A. P. Nelyubin, V. V. Podinovski, Automation and Remote Control 2022 Vol. 83 No. 7 P. 1108–1122
We develop a statement of the decision-making problem in the presence of information about the importance of criteria groups, give definitions of the relationships of the importance of criteria groups, and introduce coefficients of importance and preference relations based on such information. Methods for checking the consistency of information about importance are indicated, and ways of constructing the ...
Added: July 21, 2022
Нелюбин А. П., В.В. Подиновский, Автоматика и телемеханика 2022 № 7 С. 119–136
Разработана постановка задачи принятия решений при наличии информации о важности групп критериев: введены определения отношения важности групп критериев и коэффициентов важности, введены отношения предпочтения на основе такой информации. Указаны способы проверки непротиворечивости информации о важности, указаны пути построения введенных отношений предпочтения. Раскрыта взаимосвязь качественной важности и качественной вероятности. ...
Added: July 20, 2022
Podinovskiy V. V., Нелюбин А. П., Проблемы управления 2021 № 2 С. 33–41
В недавней статье авторов («Проблемы управления», 2020, № 5) предложен новый подход к определению средних величин и исследованы свойства введенных средних. В данной статье, которая является непосредственным её продолжением, представлены новые свойства таких средних. Изучен вопрос об устойчивости средних к малым изменениям исходных данных и выяснено, какие из них являются устойчивыми. Рассмотрены случаи, когда имеются ...
Added: April 21, 2021
Podinovskiy V. V., Нелюбин А. П., Проблемы управления 2020 № 5 С. 3–16
Предлагается новый подход к определению понятия средней величины для конечного множества X чисел x1, x2, …, xn: удаленность произвольной точки x от каждой отдельной точки xi оценивается расстоянием fi(x) между ними, а удаленность точки x от всего множества X характеризуется векторным критерием (f1(x), f2(x), …, fn(x)); при помощи этого критерия задается отношение предпочтения в удаленности; ...
Added: July 24, 2020