?
О некоторых подходах к восстановлению графических изображений
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 the non-local means, block-matching and 3D filtering, K-SVD were also considered.
Keywords: метод наименьших квадратовleast squaresметод максимального правдоподобияметод наименьших модулейleast absolute deviations (LAD) methodTikhonov regularizationtotal variation denoisingWiener filteringKalman filteringmatched filtermaximum likelihood estimationnon-local meansblock-matching and 3D filteringK-SVDрегуляризация по Тихоновуметод полной вариацииметод Винера-Хопфаметод Калмана-Бьюсисогласованная фильтрацияNL-meansBM3DK-SVD
In book
Т. 2. , Ростов н/Д: ООО "ДГТУ-Принт", 2017.
Tiraspolsky S., Rubtsov A., Pudeyev A. et al., Proceedings of the 2006 3rd International Symposium on Wireless Communication Systems, IEEE 2006 P. 21–24
In present paper we have investigated a co-channel interference cancellation technique based on the tracking a limited number of strongest interferers only. With the assumption of synchronous base stations operation with overlapping but different training signals (pilots). Kalman filtering may be used for interfering channels estimation and further calculation of interference correlation matrix. This correlation ...
Added: February 10, 2026
Алкзир Н., Nikolaev I., Nikolaev D., Proceedings of SPIE - The International Society for Optical Engineering 2024 Vol. 13072
Added: June 11, 2024
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
Kornilov M., IEEE Signal Processing Letters 2020 Vol. 27 P. 1480–1484
We present a novel technique for estimating disk parameters (the center and the radius) from its 2D image. It is based on the maximal likelihood approach utilizing both edge pixels coordinates and the image intensity gradients. We emphasize the following advantages of our likelihood model. It has closed-form formulae for estimating the parameters, therefore, requiring ...
Added: November 2, 2020
Anufrienko A., Computing, Telecommunications and Control 2020 Vol. 13 No. 2 P. 7–13
This paper presents a correlation method for processing data on end devices and reducing
the amount of data transmitted over the network. Instead of expensive and complex network
devices, developers can use cheap and proven low-speed Internet of Things (ZigBee, NB IoT,
BLE) solutions for data transfer. The novelty lies in one of the features of this approach: ...
Added: August 27, 2020
Shevgunov T., Efimov E., , in: Artificial Intelligence and Algorithms in Intelligent Systems* 2. Vol. 764: Proceedings of 7th Computer Science On-line Conference 2018.: Springer, 2019. P. 144–153.
This paper introduces the maximum likelihood estimator (MLE) based on artificial neural network (ANN) for a fast computation of the bearing that indicates the direction to the source of the electromagnetic wave received by a passive radar system equipped with an array antenna. Authors propose the cascade scheme for ANN training phase where the network ...
Added: February 5, 2019
Shevgunov T., Ефимов Е. Н., Филимонова Д. В. et al., Цифровая обработка сигналов 2017 № 2 С. 59–64
Feedforward artificial neural network based approach to implementing maximum likelihood direction-of-arrival estimator for passive radar systems is proposed. Comparison of the proposed estimator, optimal numerical solution and referenced Cramer-Rao lower bound was carried out; absence of significant dependency of the estimator accuracy in wide angle range is shown. ...
Added: June 25, 2018
Savchenko A., Belova N. S., Expert Systems with Applications 2018 Vol. 108 P. 170–182
The paper deals with unconstrained face recognition task for the small sample size problem based on computation of distances between high-dimensional off-the-shelf features extracted by deep convolution neural network. We present the novel statistical recognition method, which maximizes the likelihood (joint probabilistic density) of the distances to all reference images from the gallery set. This ...
Added: May 17, 2018
Lapina M., В кн.: Материалы Всероссийской конференции "Вторые чтения памяти профессора Б.Л. Овсиевича "Экономико-математические исследования: математические модели и информационные технологии".: СПб.: Издательство Нестор-История, 2015. С. 145–148.
Прогноз спроса является неотъемлемой и весьма важной составляющей многих математических моделей, используемых в системах управления доходами в авиаиндустрии, гостиничном бизнесе и индустрии проката автомобилей. Очевидно, что неточный прогноз спроса может привести к неэффективным или даже негативным результатам использования этих моделей. Именно поэтому одной из самых важных задач, с которыми сталкиваются исследователи, работающие в сфере управления ...
Added: February 7, 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
Savchenko A., Компьютерная оптика 2017 Т. 41 № 3 С. 422–430
In this paper we focus on the image recognition problem in the case of small sample size based on the nearest neighbor rule and matching of high-dimensional feature vectors extracted with the deep convolutional neural network. We propose the novel recognition algorithm based on the maximum likelihood method for the joint density of dissimilarities between ...
Added: July 8, 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
Goryainov A. V., Goryainova E. R., Automation and Remote Control 2016 Vol. 77 No. 9 P. 1579–1588
For the model of autoregression with a random coefficient, the estimate by the least absolute deviations (LAD) method was proved to be consistent and asymptotically normal. For the asymptotic relative efficiency of the estimate by the LAD method as compared to the least squares method, an analytical expression was obtained. For the case where the ...
Added: November 13, 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
Филимонова Д. В., Shevgunov T., Ефимов Е. Н., Наукоемкие технологии 2015 № 8 С. 42–47
This paper introduces an approach for implementing maximum likelihood parameter estimators using feedforward artificial neural network of multilayer perceptron architecture. A theoretical foundation of the proposed approach is presented in the assumption that the model of observation is known as well as the values of its vector of parameters. For a practical example the implementation ...
Added: July 6, 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
Goryainova E. R., Шалимова Ю. А., Бизнес-информатика 2015 № 3(33) С. 24–33
To solve the problem of reduction of the multidimensional vector of indicators methods of factor analysis are used. One of them is the maximum likelihood method (MLM). It allows to identify uncorrelated common factors among the set of correlated quantitative indicators. The uncorrelated common factors can represent initial indicators without significant loss of information. Detection ...
Added: December 1, 2015
Ефимов Е. Н., Shevgunov T., Труды МАИ 2015 Т. 82
В работе рассмотрено применение искусственных нейронных сетей (ИНС) для решения задачи формирования оценки направления прихода сигнала в пассивных системах радиолокации. Оптимальным методом решения данной задачи является построение оценки по методу максимального правдоподобия, состоящее в максимизации целевой функции, зависящей от направления прихода и данных, вычисленных на основе принятых сигналов. Оптимальный метод обладает высокой точностью получаемой оценки, ...
Added: August 3, 2015
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
Goryainova E. R., Шалимова Ю. А., / Издательский дом ВШЭ. Серия WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2014. № WP7/2014/08.
To solve the problem of reduction of the multidimensional vector of indicators methods of factor analysis are used. One of them is the maximum likelihood method (MLM). It allows to identify uncorrelated common factors among the set of correlated quantitative indicators. The uncorrelated common factors can represent initial indicators without significant loss of information. Detection ...
Added: December 18, 2014