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Обратные задачи моделирования на основе регуляризации и распределенных вычислений в среде Everest
С. 132–140.
Afanasiev A., Волошинов В. В., Соколов А. В.
Problem in the Modeling on the Basis of Regularization and Distributed Computing in the Everest Environment
A method for estimating mathematical models of physical spatial phenomena is presented. Estimating is based on the series of experimental data. The objective function in the inverse optimization problem of identification of model parameters includes a regularizing term with unknown weight coefficients for the 2nd derivatives of the spatial function describing the phenomenon. Successive cross-validation procedure is used to choose values of weight coefficients. This cross-validation consists in approximation of one subset of experimental data by processing of a complementary subset. The better accuracy of the “crossapproximation”, the better set of weight coefficients. Choosing direction of the possible improvement requires solving a number of subsidiary optimization problems. For that it is proposed to use distributed computing environment of optimization services deployed via Everest toolkit.
In book
М.: Федеральный исследовательский центр "Информатика и управление" Российской академии наук, 2017.
Гуревич А. М., Пьянкова М. В., Skorobogatov A. et al., Экономический журнал Высшей школы экономики 2025 Т. 29 № 4 С. 691–716
Forecasting and analyzing the volatility of financial instruments is one of the fundamental tasks in stock market operations. The literature most often employs linear models for predicting market volatility. However, this tool may not be the most suitable for the stated objective, as the market is inherently non-constant, with its volatility exhibiting distinct periods of ...
Added: December 24, 2025
Akindinov G., Матюхин В. В., Криворотько О. И., Компьютерные исследования и моделирование 2024 Т. 15 № 2 С. 245–258
В данной работе приведен алгоритм численного решения обратной начально-краевой задачи для гиперболического уравнения с малым параметром перед второй производной по времени, которая состоит в нахождении начального распределения по заданному конечному. Данный алгоритм позволяет для заданной наперед точности получить решение задачи (в допустимых пределах точности). Данный алгоритм позволяет избежать сложностей, аналогичных случаю с уравнением теплопроводности с ...
Added: October 24, 2024
Alexandrov A. E., S. P. Borisov, Bunina L. V. et al., Российский технологический журнал 2023 Vol. 11 No. 3 P. 56–69
Objectives. The wear monitoring of metal structural elements of power plants-in particular, pipelines of nuclear power plants-is an essential means of ensuring safety during their operation. Monitoring the state of the pipeline by direct inspection requires a considerable amount of labor, as well as, in some cases, the suspension of power plant operation. In order ...
Added: March 21, 2024
ИДСТУ СО РАН, 2023.
Материалы научного сборника включают избранные статьи и тезисы V Международного семинара по информационным, вычислительным и управляющим системам для распределенные сред (ICCS-DЕ 2023), проведенного Институтом динамики систем и теории управления имени В.М. Матросова Сибирского отделения Российской академии наук (Иркутск, Россия) совместно с Центром научных исследований и высшего образования (CICESE Research Center, Энсенада, Мексика) 3-7 июля, 2023 ...
Added: September 7, 2023
Dubnov Y. A., Bulychev A., Информационные технологии и вычислительные системы 2023 № 1 С. 71–81
In this paper, we investigate a method of approximate entropy estimation, designed to speed up the classical method of maximum entropy estimation due to the use of regularization in the optimization problem. This method is compared with the method of maximum likelihood and Bayesian estimation, both experimentally and in terms of theoretical calculations for some ...
Added: June 16, 2023
Dubnov Y. A., Bulychev A., Информационные технологии и вычислительные системы 2022 № 4 С. 69–80
The work is devoted to the development of an entropy estimation method with “soft” randomization for restoring the parameters of probabilistic mathematical models from the available observations. Soft randomization refers to the technique of adding regularization to the information entropy functional to simplify the optimization problem and speed up learning process compared to the traditional ...
Added: June 16, 2023
Сальников А. М., Степанова И. Э., Гудкова Т. В. et al., Доклады Российской академии наук. Науки о Земле 2021 Т. 499 № 1 С. 54–59
Построена аналитическая модель магнитного поля над участком поверхности Марса в юго-западной части равнины Элизий по спутниковым данным с помощью модифицированных S-аппроксимаций в рамках структурно-параметрического подхода. Представлены аналитические продолжения магнитного поля Марса вниз на различные расстояния, в том числе на поверхность планеты. ...
Added: October 29, 2022
Korotyaev E., Леонова Е. О., / Series arXie "Statistical mechanics". 2022.
We solve the inverse problem for Jacobi operators on the half lattice with finitely supported perturbations, in particular, in terms of resonances. Our proof is based on the results for the inverse eigenvalue problem for specific finite Jacobi matrices and theory of polynomials. We determine forbidden domains for resonances and maximal possible multiplicities of real ...
Added: September 26, 2022
А. А. Злотник, Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика) 2022 Т. 506 № 1 С. 89–94
Выполняется регуляризация двух типов и агрегирование системы уравнений движения многоскоростной смеси вязких несжимаемых жидкостей и строятся новые многоскоростные и односкоростные системы. Для всех них выводятся эллиптические уравнения для давления и диссипативные уравнения баланса полной энергии смеси (суммы кинетической и потенциальной энергий смеси). ...
Added: September 15, 2022
Zlotnik A., Lomonosov T., Журнал вычислительной математики и математической физики 2022 Т. 62 № 12 С. 1981–2001
Изучается явная двухслойная симметричная по пространству схема на разнесенных сетках с квазигидродинамической регуляризацией для 1D баротропных систем уравнений движения газа.
Выводятся как необходимые условия, так и близкие к ним достаточные условия L²-диссипативности решений задачи Коши для ее линеаризации на постоянном решении при произвольном фоновом числе Маха M.
Применяется спектральный подход и анализируются матричные неравенства, содержащие символы симметричных ...
Added: May 14, 2022
Zlotnik A., Lomonosov T., / Институт прикладной математики им. М.В. Келдыша Российской академии наук. Серия "Препринты ИПМ им. М.В. Келдыша". 2021. № 72.
Added: October 22, 2021
Evgeny Korotyaev, Mokeev D., Analysis and Mathematical Physics 2021 Vol. 11 Article 32
We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function and scattering matrix (including characterization). We study resonances as zeros of Jost function and prove that a potential is uniquely determined by its resonances. Moreover, we prove the following: (1) resonances are free ...
Added: April 18, 2021
E. L. Korotyaev, Functional Analysis and Its Applications 2019 Vol. 53 No. 3 P. 174–181
We give a complete solution to the inverse problem for finite Jacobi operators with matrix-valued coefficients. ...
Added: February 5, 2021
Raikov A., Информатизация и связь 2020 № 1 С. 81–88
It is proposed to distinguish between the traditional, so-called, weak, artificial intelligence (AI) and strong artificial intelligence, or artificial general intelligence (AGI). The latter is not considered as the evolutionary stage of the development of AI, but something else related to the construction of an informal and non-causal phenomenological space, as a kind of opposite ...
Added: December 7, 2020
Koltsov S., Ignatenko V., Boukhers Z. et al., Entropy 2020 Vol. 22 No. 4 P. 1–13
Topic modeling is a popular technique for clustering large collections of text documents. A variety of different types of regularization is implemented in topic modeling. In this paper, we propose a novel approach for analyzing the influence of different regularization types on results of topic modeling. Based on Renyi entropy, this approach is inspired by ...
Added: April 1, 2020
Ingacheva A., Кохан В. В., Ershov E. et al., Сенсорные системы 2018 Т. 32 № 4 С. 332–341
In this paper we consider the task of inner objects mapping for the building with a bunch of moving around it autonomous agents which use narrow beam of radio waves using WiFi frequency (2.4 GHz). Linear model of pixel-wise radio waves attenuation is considered. SIRT algorithm with TV and Tikhonov regularizations is used for the ...
Added: February 9, 2020
Protasov V., Calcolo 2019 Vol. 56 No. 2 P. 1–11
Multiple Perron eigenvectors of non-negative matrices occur in applications, where
they often become a source of trouble. A usual way to avoid it and to make the
Perron eigenvector simple is a regularization of matrix: an initial non-negative matrix
A is replaced by A + "M, where M is a strictly positive matrix and " > 0 is ...
Added: June 12, 2019
Lapshin V. A., Studies in Economics and Finance 2019 Vol. 36 No. 4 P. 600–615
The article shows how the Bayesian approach to income adjustment can be implemented in a non-parametric structure with automatic smoothing obtained from data. It also briefly illustrates the benefits of this approach using real data.
The article uses an infinite-dimensional (functional space) approach to reverse problems. Numerical calculations are performed using the Markov-Monte Carlo chain algorithm ...
Added: January 11, 2019
Agaev R., Chebotarev P. Y., , in: Proceedings of The 6th International Conference on Control and Optimization with Industrial ApplicationsVol. 1.: [б.и.], 2018. Ch. 1 P. 26–28.
In this paper, we propose several consensus protocols of the first and second order for networked multi-agent systems and provide explicit representations for their asymptotic states. These representations involve the eigenprojection of the Laplacian matrix of the dependency digraph.In particular, we study regularization models for the problem of coordination when the dependency digraph does not ...
Added: October 31, 2018
Agaev R., Chebotarev P. Y., В кн.: Материалы 10-й Всероссийской мультиконференции. В 3-х томах. Ответственный редактор: И.А. Каляев. 2017Т. 1.: , 2017. Гл. 1 С. 168–170.
The problem of reaching consensus in a MAC where there is no spanning tree in the dependency digraph is Considered. ...
Added: October 31, 2018
Toporkov V., Anna Toporkova, Yemelyanov D., , in: Intelligent Distributed Computing XIIVol. 798: Intelligent Distributed Computing XII.: Cham, Switzerland: Springer, 2018. P. 40–49.
In this work, we introduce slot selection and co-allocation algorithms for parallel jobs in distributed computing with non-dedicated and heterogeneous resources. A single slot is a time span that can be assigned to a task, which is a part of a parallel job. The job launch requires a co-allocation of a specified number of slots ...
Added: October 26, 2018