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    Wyświetlanie 1-7 z 7
    Tytuł:
    Fitting a Gaussian mixture model through the Gini index
    Autorzy:
    López-Lobato, Adriana Laura
    Avendaño-Garrido, Martha Lorena
    Powiązania:
    https://bibliotekanauki.pl/articles/2055144.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    Gini index problem
    Gaussian mixture model
    clustering
    indeks Giniego
    model mieszaniny Gaussa
    grupowanie
    Opis:
    A linear combination of Gaussian components is known as a Gaussian mixture model. It is widely used in data mining and pattern recognition. In this paper, we propose a method to estimate the parameters of the density function given by a Gaussian mixture model. Our proposal is based on the Gini index, a methodology to measure the inequality degree between two probability distributions, and consists in minimizing the Gini index between an empirical distribution for the data and a Gaussian mixture model. We will show several simulated examples and real data examples, observing some of the properties of the proposed method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 3; 487--500
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Assessment of the GPC control quality using non-Gaussian statistical measures
    Autorzy:
    Domański, P. D.
    Ławryńczuk, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/331090.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    control performance assessment
    GPC control
    non Gaussian PDF
    Cauchy PDF
    Lévy α-stable PDF
    Opis:
    This paper presents an alternative approach to the task of control performance assessment. Various statistical measures based on Gaussian and non-Gaussian distribution functions are evaluated. The analysis starts with the review of control error histograms followed by their statistical analysis using probability distribution functions. Simulation results obtained for a control system with the generalized predictive controller algorithm are considered. The proposed approach using Cauchy and Lévy α-stable distributions shows robustness against disturbances and enables effective control loop quality evaluation. Tests of the predictive algorithm prove its ability to detect the impact of the main controller parameters, such as the model gain, the dynamics or the prediction horizon.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2017, 27, 2; 291-307
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A survey of subpixel edge detection methods for images of heat-emitting metal specimens
    Autorzy:
    Fabijańska, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/330981.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    dokładność subpikselowa
    wykrywanie krawędzi
    właściwości powierzchni
    funkcja Gaussa
    subpixel accuracy
    edge detection
    surface property
    approximation
    Gaussian function
    Opis:
    In this paper the problem of accurate edge detection in images of heat-emitting specimens of metals is discussed. The images are provided by the computerized system for high temperature measurements of surface properties of metals and alloys. Subpixel edge detection is applied in the system considered in order to improve the accuracy of surface tension determination. A reconstructive method for subpixel edge detection is introduced. The method uses a Gaussian function in order to reconstruct the gradient function in the neighborhood of a coarse edge and to determine its subpixel position. Results of applying the proposed method in the measurement system considered are presented and compared with those obtained using different methods for subpixel edge detection.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 695-710
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stochastic multivariable self-tuning tracker for non-Gaussian systems
    Autorzy:
    Filipovic, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/908532.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model ARMAX
    statystyka odpornościowa
    stabilność globalna
    ARMAX model
    self-tuning tracker
    non-Gaussian noise
    robust statistics
    global stability
    optimality
    Opis:
    This paper considers the properties of a minimum variance self-tuning tracker for MIMO systems described by ARMAX models. It is assumed that the stochastic noise has a non-Gaussian distribution. Such an assumption introduces into a recursive algorithm a nonlinear transformation of the prediction error. The system under consideration is minimum phase with different dimensions for input and output vectors. In the paper the concept of Kronecker’s product is used, which allows us to represent unknown parameters in the form of vectors. For parameter estimation a stochastic approximation algorithm is employed. Using the concept of the stochastic Lyapunov function, global stability and optimality of the feedback system are established.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 351-357
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dynamic Algorithm for Linear Quadratic Gaussian Predictive Control
    Autorzy:
    Ordys, A. W.
    Hangstrup, M. E.
    Grimble, M. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/911167.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    przestrzeń fazowa
    sterowanie wielowymiarowe
    sterowanie predykcyjne
    state-space design
    multivariable control
    linear quadratic Gaussian predictive control
    generalized predictive control
    Opis:
    In this paper, the optimal control law is derived for a multi-variable state-space Linear Quadratic Gaussian Predictive Controller (LQGPC). A dynamic performance index is utilized resulting in an optimal steady-state controller. Knowledge of future reference values is incorporated into the controller design and the solution is derived using the method of Lagrange multipliers. It is shown how the well-known GPC controller can be obtained as a special case of the LQGPC controller design. The important advantage of using the LQGPC framework for designing predictive controllers is that, based on stabilizing properties of LQG control, it enables a systematic approach to selection of the design parameters to yield a stable closed-loop system. The system model considered in this paper can be further extended toalso include direct feed-through and knowledge about future external inputs.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 227-244
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fault monitoring and fault recovery control for position-moored vessels
    Autorzy:
    Fang, S.
    Blanke, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/907618.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    diagnostyka uszkodzeń
    sterowanie tolerujące uszkodzenia
    usuwanie błędu
    wykrywanie zmian
    fault diagnosis
    fault tolerant control
    fault recovery
    position mooring
    non Gaussian change detection
    Opis:
    This paper addresses fault-tolerant control for position mooring of a shuttle or floating production storage and offloading vessels. A complete framework for fault diagnosis is presented. A loss of a sub-sea mooring line buoyancy element and line breakage are given particular attention, since such failures might cause high-risk abortion of an oil-loading operation. With significant drift forces from waves, non-Gaussian elements dominate forces and the residuals designed for fault diagnosis. Hypothesis testing is designed using dedicated change detection for the type of distribution encountered. A new position recovery algorithm is proposed as a means of fault accommodation in order to keep the mooring system in a safe state, despite faults. The position control is shown to be capable of accommodating serious failures and preventing breakage of a mooring line, or a loss of a buoyancy element, from causing subsequent failures. Properties of the detection and fault-tolerant control algorithms are demonstrated by high fidelity simulations.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 467-478
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fault tolerant control using Gaussian processes and model predictive control
    Autorzy:
    Yang, X.
    Maciejowski, J. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/330117.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fault tolerant control
    Gaussian process
    model predictive control
    aircraft control
    probabilistic modelling
    sterowanie tolerujące uszkodzenia
    proces gaussowski
    sterowanie predykcyjne
    sterowanie samolotem
    modelowanie probabilistyczne
    Opis:
    Essential ingredients for fault-tolerant control are the ability to represent system behaviour following the occurrence of a fault, and the ability to exploit this representation for deciding control actions. Gaussian processes seem to be very promising candidates for the first of these, and model predictive control has a proven capability for the second. We therefore propose to use the two together to obtain fault-tolerant control functionality. Our proposal is illustrated by several reasonably realistic examples drawn from flight control.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2015, 25, 1; 133-148
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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