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Least squares consensus clustering: criteria, methods, experiments
P. 764–768.
Mirkin B., Shestakoff A.
We develop a consensus clustering framework developed three decades ago in Russia and experimentally demonstrate that our least squares consensus clustering algorithm consistently outperforms several recent consensus clustering methods.
In book
Kuznetsov S., Serdyukov P., Segalovich I., Pavel B., Kamps J., Rüger S., Agichtein E., Yilmaz E. L.: Springer, 2013.
Mirkin B., Parinov A., Автоматика и телемеханика 2024 № 3 С. 6–22
This paper reports of theoretical and computational results related to an original concept of consensus clustering involving what we call the projective distance between partitions. This distance is defined as the squared difference between a partition incidence matrix and its image over the orthogonal projection in the linear space spanning the other partition incidence matrix. ...
Added: February 24, 2025
Высшее образование как дифференцированный "товар": анализ структурных различий в формировании спроса
Telezhkina M., Ганьшина А. В., Вестник Воронежского государственного университета. Серия: Экономика и управление 2020 № 4 С. 92–101
В работе изучается структура рынка высшего образования в России на основе данных о ВУЗах Москвы и МО за 2019 год путем оценки функции спроса и тестирования ее на наличие структурных изменений. Анализ модели включает в себя оценивание уравнений регрессии с использованием метода наименьших квадратов и метода инструментальных переменных. Заимствуя идеи оценки функции спроса на рынке ...
Added: November 28, 2020
Kurmukov A., Mussabaeva A., Denisova Y. et al., Brain Connectivity 2020 Vol. 10 No. 4 P. 183–194
This work addresses the problem of constructing a unified, topologically optimal connectivity-based brain atlas. The proposed approach aggregates an ensemble partition from individual parcellations without label agreement, providing a balance between sufficiently flexible individual parcellations and intuitive representation of the average topological structure of the connectome. The methods exploit a previously proposed dense connectivity representation, ...
Added: September 16, 2020
Bulgakov S. A., В кн.: Современные проблемы математического моделирования, обработки изображений и параллельных вычисленийТ. 2.: Ростов н/Д: ООО "ДГТУ-Принт", 2017. С. 36–44.
The paper covers mathematical and heuristic approaches for solution the image restoration problem. Attention is paid to the least squares method, least absolute deviations, Tikhonov regularization, total variation, Wiener and Kalman filters, as well as matched filter. A description of a new method for constructing the maximum likelihood estimate is given. Such heuristic approaches as ...
Added: September 24, 2018
Akimov P. A., Matasov A. I., IEEE Transactions on Automatic Control 2015 Vol. 60 No. 4 P. 1050–1063
The mixed-norm cost functions arise in many applied optimization problems. As an important example, we consider the state estimation problem for a linear dynamic system under a nonclassical assumption that some entries of state vector admit jumps in their trajectories. The estimation problem is solved by means of mixed l1/l2-norm approximation. This approach combines the ...
Added: November 5, 2017
Чирухин В. А., Записки Горного института 2014 Т. 208 С. 197–202
In the article the methods of processing of statistical data about periodic process by the least squares method with usage of Bessel functions and Fourie numbers are analyzed. The simple method for approximation with a choice of the fluctuation period, proceeding from a minimum of the estimated error is offered. ...
Added: October 31, 2017
Svetunkov S., В кн.: Методологические проблемы многоуровневой теории конкуренции.: СПб.: Левша-Санкт-Петербург, 2016. Гл. 9 С. 73–78.
A new approach to the analysis of the competitive situation on the market. It uses a Gaussian model. ...
Added: February 14, 2017
Бочаров А. А., Gnatyshak D. V., Ignatov D. I. et al., , in: CLA 2016: Proceedings of the Thirteenth International Conference on Concept Lattices and Their Applications. CEUR Workshop ProceedingsVol. 1624.: M.: Higher School of Economics, National Research University, 2016. P. 45–56.
We propose a new algorithm for consensus clustering, FCA-Consensus, based on Formal Concept Analysis. As the input, the algorithm takes T partitions of a certain set of objects obtained by k-means algorithm after T runs from different initialisations. The resulting consensus partition is extracted from an antichain of the concept lattice built on a formal ...
Added: October 24, 2016
Lakshina V. V., Лапшина К. А., Финансы: теория и практика 2016 Т. 20 № 5 С. 105–114
Hedging is one of the most popular strategies for market risk management. Hedging is aimed at decreasing the volatility, or variability, of portfolio returns. The portfolio usually consists of the spot assets and hedging instruments. The latter can be represented by futures, options and over-the-counter assets such as forwards and swaps. While futures’ hedging is ...
Added: October 5, 2016
Gordin V. A., Сахарова Е. А., Профилактическая и клиническая медицина 2016 № 2(59) С. 14–20
The heatwave of July-August 2010 with an escort of noticeable air pollution (including smoke from peat fires) greatly affected the lives and health of the metropolis' residents. That is easily confirmed by mortality data and information about daily emergency calls. During this period strong peak may be observed both on general graphs and on particular ...
Added: March 9, 2016
Ватутин В. А., Ivchenko G., Медведев Ю. И. et al., М.: ЛЕНАНД, 2014.
Материал пособия соответствует программе курса по теории вероятностей и математической статистике для студентов высших учебных заведений и отвечает современному уровню этих дисциплин. Изложение ведется последовательно в соответствии с рядом основных вероятностных моделей, причем различные главы можно использовать практически изолированно. Такой подход позволяет задавать в данной модели вероятность в явном виде, не излагая аксиоматические основы теории ...
Added: March 15, 2015
Mirkin B., Shestakoff A., , in: Clusters, orders, trees: methods and applications. In Honor of Boris Mirkin's 70th BirthdayVol. 92.: Berlin: Springer, 2014.
We develop a consensus clustering framework proposed three decades ago in Russia and experimentally demonstrate that our least squares consensus clustering algorithm consistently outperforms several recent consensus clustering methods. ...
Added: January 23, 2015
Гришунина Ю.Б., Контаров Н. А., Архарова Г. В. et al., Эпидемиология и вакцинопрофилактика 2014 № 5(78) С. 61–66
In this paper we propose a method of mathematical modeling of the epidemiological situation, taking into account external factors. An algorithm for finding the parameters of the model based on the results of observations, based on the method of least squares. Investigated the dependence of the epidemiological situation of the various parameters and external factors, ...
Added: October 29, 2014
Chebotarev A., Долгопрудный: Физтех-полиграф, 2010.
Предисловие.
Теория вероятностей возникла в XVI--XVII веках как раздел математики, объясняющий причины выигрыша или проигрыша в азартных играх. Участие знаменитых ученых потребовалось для анализа игровых стратегий и объяснения ряда фактов отнюдь не очевидных с точки зрения здравого смысла. Вероятностные методы описания окружающей реальности остаются актуальными и сейчас, более того, сложность рассматриваемых систем достигла планетарного масштаба. Стохастические ...
Added: December 28, 2013
Ivchenko G., Медведев Ю. И., М.: Либроком, 2013.
В основу книги положены материалы курса лекций и спецкурсов, читавшихся авторами в течение ряда лет на факультете «Прикладной математики» в Московском институте электроники и математики и в Институте криптографии, связи и информатики Академии ФСБ России. Представленный в ней материал полностью обеспечивает программу по математической статистике учебного плана ГОС по специальности «Прикладная математика». Изложение материала ведется ...
Added: November 25, 2013
Mirkin B., , in: Models, Algorithms, and Technologies for Network AnalysisVol. 59.: NY: Springer, 2013. P. 101–126.
There exists much prejudice against the within-cluster summary similarity criterion which supposedly leads to collecting all the entities in one cluster. This is not so if the similarity matrix is pre-processed by subtraction of ``noise'', of which two ways, the uniform and modularity, are mentioned in the paper. Another criterion under consideration is the semi-average ...
Added: November 22, 2013
Постановка задачи и разработка математической модели жидкостного охлаждения для подсистемы АСОНИКА-Т
Semenenko A. N., Динамика сложных систем 2013 Т. 7 № 4 С. 64–70
In this article a problem of the development of the liquid cooling mathematical model in radio-electronic means of any design is justified and assigned. A mathematical model of liquid cooling for introduction to the subsystem ASONIKA-T is represented. ...
Added: November 20, 2013