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Cubic Spline Interpolation Approach to Solve Multi-Choice Programming Problem
International Journal of Applied and Computational Mathematics. 2022. Vol. 9. No. 1. Article 6.
Dutta S., Kaur A.
Multi-choice has become a significant part of the real-life decision-making process. Most
of the problems involve more than one parameter as a choice, and among those different
choices only one choice is to be made, which will optimize the objective function. The
difficulty in making such a choice can be at ease with the help of mathematical techniques.
In this paper, we propose a novel solution procedure to handle the multi-choice parameters
in the constraint using cubic spline interpolation method. After analyzing the results, we
observed that the proposed method yields better results as compared to existing methods.
Two numerical examples are presented to explain the method and validate the fact of complete
utilization of the resources
Shekova E., Коваленко Б. Б., Екатерининская А. А. et al., СПб.: Академия Русского Балета имени А. Я. Вагановой, 2026.
Сборник статей посвящен актуальным проблемам управления творческими коллективами, финансированию государственных балетных театров, особенностям современных проектов и бизнес-планированию в сфере хореографического искусства. ...
Added: July 21, 2026
Tyurkin M., Azamat A., Springer Nature Switzerland, Cham , 2025.
This chapter explores the role of tokenization in blockchain technologies. Tokenization is a key enabler of the smart circular economy and organizational sustainability. Tokenization involves converting assets or value into digital tokens on a blockchain. This process offers new opportunities to enhance resource efficiency, transparency, and accountability within circular economy initiatives. By leveraging blockchain’s immutable ...
Added: July 20, 2026
Lola I. S., Asoskov D., Зинина Т. С., ИСИЭЗ НИУ ВШЭ, 2026.
Центр конъюнктурных исследований Института статистических исследований и экономики знаний НИУ ВШЭ представляет результаты ежегодного специализированного конъюнктурного мониторинга деловой активности ИТ-отрасли, проведенного в 2025 году. Выборка – около 700 организаций ИТ-отрасли (виды экономической деятельности 62, 63 согласно ОКВЭД2) из 30 субъектов Российской Федерации.
Программа обследования запущена с 2010 г. и основана на международном опыте измерения деловых тенденций ...
Added: July 20, 2026
Шаркова А. В., Новоселова И. Ю., Харитонова Н. А. et al., Издательско-торговая корпорация Дашков и К, 2025.
This monograph presents the author's research findings on improving the effectiveness of entrepreneurial activity. The relevance of the monograph's topic stems from the practical demand for applied research in the field of entrepreneurship development among Russian enterprises operating in the face of new challenges.
The monograph is intended for a wide range of readers, including representatives ...
Added: July 20, 2026
Abankina I., Зиньковский К. В., Креативные индустрии 2025 Т. 1 № 1 С. 53–66
The article presents an analysis of the demand for higher education in various fields of study in the context of public policy, the study is based on data from the HSE research “Monitoring of reception quality” for 2018–2024. The article proves that higher education in the creative industries sector directly depends on the income level ...
Added: July 20, 2026
Abankina I., Зиньковский К. В., Журнал Новой экономической ассоциации 2025 Т. 3 № 68 С. 299–308
The article presents an analysis of the demand and supply in higher education in various fi elds in the context of public policy. By studying the demand from families for various higher education programs, three areas of public policy are identifi ed that directly affect the supply and demand in higher education. The fi rst ...
Added: July 20, 2026
Degterev D. A., Морозенская Е. В., Азия и Африка сегодня 2026 № 7 С. 73–77
Abstract
The International Scientific Conference “Strategies for Industrial Development of African Countries,” attended by representatives of the domestic and international (primarily African) academic community, as well as representatives of Russian government agencies and business circles, was held at the Institute for African Studies of the Russian Academy of Sciences by the Center for Transition Economy Studies ...
Added: July 18, 2026
Springer Singapore (Singapore), 2024.
Included in the following conference series:
INdAM: INdAM Meeting: Kolmogorov Operators and their Applications Workshop
Conference proceedings info: INdAM 2022
Kolmogorov equations are a fundamental bridge between the theory of partial differential equations and that of stochastic differential equations that arise in several research fields.
This volume collects a selection of the talks given at the Cortona meeting by ...
Added: July 17, 2026
Veretennikov A., Pascucci A., Rondelli A., Stochastic Processes and their Applications 2026 Vol. 199 Article 104978
We present existence results for weak solutions to a broad class of degenerate McKean-Vlasov equations with rough coefficients, expanding upon and refining the techniques recently introduced by the third author. Under certain structural conditions, we also establish results concerning both weak and strong well-posedness. ...
Added: July 17, 2026
Veretennikov A., Ляппиева А. А., Теория вероятностей и ее применения 2026 Т. 71 № 2 С. 295–304
Установлен новый результат о сильной единственности для многомерного СДУ с невырожденной диффузией и частично нерегулярным сносом. Его можно рассматривать как комбинированный вариант на темы Ямада и Ватанабэ (1971), Звонкина (1974) и первого автора настоящей статьи (1980). ...
Added: July 17, 2026
Veretennikov A., Нуриева А. И., Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика) 2025 Т. 525 С. 24–30
Предложено новое достаточное условие в задаче о центральной предельной теореме в схеме серий для неоднородных цепей Маркова, с возможностью того, что минимум эргодического коэффициента Маркова–Добрушина может быть ближе к нулю, чем в основном условии Добрушина. ...
Added: July 17, 2026
О частных производных модифицированных полиномов Бернштейна–Станку для функций нескольких переменных
Veretennikov A., Мазутский Н. М., Математический сборник 2025 Т. 216 № 7 С. 3–27
Целью работы является доказательство аппроксимации смешанных производных второго порядка для функции нескольких переменных в норме L1 такими же производными модифицированных полиномов Бернштейна–Станку при минимальной возможной регулярности. ...
Added: July 17, 2026
Ахмярова А. Т., Veretennikov A., Теория вероятностей и ее применения 2025 Т. 70 № 2 С. 211–227
В работе предложены новые версии слабого закона больших чисел (ЗБЧ) для слабо зависимых слагаемых (вообще говоря, разнораспределенных) как при наличии математического ожидания каждого из них, так и без такового. Одним из основных условий в первом из трех рассматриваемых случаев, в котором развиваются идеи из статьи Ю. Ш. Чау 1971 г., является равномерная интегрируемость слагаемых по Чезаро в духе работ по ЗБЧ для ...
Added: July 17, 2026
Veretennikov A., Stochastics and Dynamics 2024
A new weak existence result for degenerate multi-dimensional stochastic McKean–Vlasov equation is established under relaxed regularity conditions. ...
Added: July 17, 2026
Ахмярова А. Т., Veretennikov A., Теория вероятностей и ее применения 2024 Т. 69 № 3 С. 427–438
Предложен новый вариант усиленного закона больших чисел для попарно независимых случайных величин. Основная цель — ослабить требование существования математического ожидания каждого из слагаемых. Предположение о попарной независимости также ослаблено. ...
Added: July 17, 2026
Veretennikov A., Moscow Mathematical Journal 2024 Vol. 24 No. 1 P. 107–124
Second order recurrence are established for a d-dimensional diffusion with an additive Wiener process, with switching, and with one recurrent and one transient regime and constant switching intensities, under suitable conditions. As a corollary, the rate of convergence towards the invariant regime of order t^{−2} is claimed. The approach is based on embedded Markov chains ...
Added: July 16, 2026
Veretennikov A., Mathematics 2023 Vol. 11 No. 21 Article 4514
Positive recurrence for a single-server queueing system is established under generalized service intensity conditions, without the assumption of the existence of a service density distribution function, but with a certain integral type lower bound as a sufficient condition. Positive recurrence implies the existence of the invariant distribution and a guaranteed slow convergence to it in ...
Added: July 16, 2026
Veretennikov A., Markov Processes and Related Fields 2023 Vol. 23 No. 2 P. 259–294
The ergodic Bellman's (HJB) equation is proved for a one-dimensional controlled diffusion with switching with variable diffusion and drift coefficients both depending on control; the intensities of transitions of the discrete component are constant. Its existence and uniqueness is established. Also, the convergence of the reward iteration improvement algorithm is established to the cost constant ...
Added: July 16, 2026
Михайлов И. А., М.: ФГБУ "Издательство "Наука", 2023.
Предложены основные направления совершенствования планирования, организации и оплаты медицинской помощи, лекарственного обеспечения, информатизации и оценки технологий здравоохранения. Рекомендованы такие мероприятия, как конкретизация программы государственных гарантий бесплатного оказания гражданам медицинской помощи, создание системы общедоступного лекарственного обеспечения, использование клинико-статистических групп для оплаты медицинской помощи при ряде хронических неинфекционных заболеваний в амбулаторных условиях, формирование механизма привлечения соплатежей при ...
Added: July 16, 2026
Михайлов И. А., Machine Learning and Knowledge Extraction 2026 Vol. 8 No. 1 Article 8
Whole-slide histology images (WSIs) can exceed 100 k × 100 k pixels, making direct pixel-level segmentation infeasible and requiring patch-level classification as a practical alternative for downstream WSI segmentation. However, most approaches either treat patches independently, ignoring spatial and biological context, or rely on deep graph models prone to oversmoothing and loss of local tissue ...
Added: July 16, 2026
Shishkina E., Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria 2025
This article investigates the problem of approximating the generalized
Erdélyi-Kober fractional operator (often referred to as the Lowndes operator)
using cubic splines. A method based on cubic spline interpolation
is proposed for approximating the operator on a non-uniform grid. The
convergence rate of the proposed method is proven, and its stability is
analyzed. Error bounds are established for functions in ...
Added: March 2, 2026
Enatskaya N., Вестник Южно-Уральского государственного университета, серия «Математическое моделирование и программирование» 2020 Т. 13 № 3 С. 103–111
An enumerative method is proposed for the analysis of combinatorial schemes in the
pre-asymptotic region of variation of their parameters based on the construction of their
probabilistic mathematical model, which represents for each scheme an iterative
random process of sequential non-repeated formation of all its outcomes with a certain
discipline of their numbering by unitary addition of certain elements ...
Added: October 17, 2020
Vorontsov K. V., Kochedykov D., Apishev M. et al., IEEE Computer Society, 2017.
Topic modelling is an area of text mining that has been actively developed in the last 15 years. A probabilistic topic model extracts a set of hidden topics from a collection of text documents. It defines each topic by a probability distribution over words and describes each document with a probability distribution over topics. In ...
Added: December 6, 2019
Figurnov M., Sobolev A., Vetrov D., Bulletin of the Polish Academy of Sciences: Technical Sciences 2018 Vol. 66 No. 6 P. 811–820
We present a probabilistic model with discrete latent variables that control the computation time in deep learning models such as ResNets and LSTMs. A prior on the latent variables expresses the preference for faster computation. The amount of computation for an input is determined via amortized maximum a posteriori (MAP) inference. MAP inference is performed ...
Added: February 27, 2019