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Wyświetlanie 1-15 z 21
Tytuł:
Inequality-Based Approximation of Matrix Eigenvectors
Autorzy:
Kocsor, A.
Dombi, J.
Balint, I.
Powiązania:
https://bibliotekanauki.pl/articles/908503.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
eigenvectors
eigenvalues
inequalities
error bounds
iterative methods
Opis:
A novel procedure is given here for constructing non-negative functions with zero-valued global minima coinciding with eigenvectors of a general real matrix A. Some of these functions are distinct because all their local minima are also global, offering a new way of determining eigenpairs by local optimization. Apart from describing the framework of the method, the error bounds given separately for the approximation of eigenvectors and eigenvalues provide a deeper insight into the fundamentally different nature of their approximations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 533-538
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the statistical analysis of the harmonic signal autocorrelation function
Autorzy:
Sienkowski, Sergiusz
Krajewski, Mariusz
Powiązania:
https://bibliotekanauki.pl/articles/2055177.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
harmonic signal
autocorrelation function
mean squared error
sygnał harmoniczny
funkcja autokorelacji
błąd średniokwadratowy
Opis:
The article presents new tools for investigating the statistical properties of the harmonic signal autocorrelation function (ACF). These tools enable identification of the ACF estimator errors in measurements in which the triggering of the measurements is non-synchronized. This is important because in many measurement situations the initial phase of the measured signal is random. The developed tools enable testing the ACF estimator of a harmonic signal in the presence of Gaussian noise. These are the formulas on the basis of which the statistical properties of the estimator can be determined, including the bias, the variance and the mean squared error (MSE). For comparison, the article also presents the ACF statistical analysis tools used in the conditions of synchronized measurement triggering, known from the literature. Operation of the new tools is verified by simulation and experimental studies. The conducted research shows that differences between the MSE results obtained with the use of the developed formulas and those attained from simulations and experimental tests are not greater than 1 dB.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 4; 729--744
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Measurements of temperature of CNC machine tool ball screw utilising IR method
Autorzy:
Zapłata, J.
Powiązania:
https://bibliotekanauki.pl/articles/265781.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
thermography
ball screws
CNC machine tools
thermal error
obrabiarka CNC
termografia
czujnik temperatury
Opis:
In numerous papers it is proposed to use IR measurements of feed axis ball screw temperature distribution in order to compensate CNC machine tool thermal errors. The paper aims to validate reliability of the IR measurements in application to the feed axes ball screws. The identification of key factors influencing the accuracy of the IR measurements of ball screw temperature distribution has been conducted. A test-bench utilizing a ball screw assembly with built-in temperature sensors was introduced and the experimental data are presented along with conclusions.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 3; 769-777
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Revisiting the optimal probability estimator from small samples for data mining
Autorzy:
Cestnik, Bojan
Powiązania:
https://bibliotekanauki.pl/articles/330350.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
probability estimation
small sample
minimal error
m-estimate
estymacja prawdopodobieństwa
mała próbka
błąd minimalny
Opis:
Estimation of probabilities from empirical data samples has drawn close attention in the scientific community and has been identified as a crucial phase in many machine learning and knowledge discovery research projects and applications. In addition to trivial and straightforward estimation with relative frequency, more elaborated probability estimation methods from small samples were proposed and applied in practice (e.g., Laplace’s rule, the m-estimate). Piegat and Landowski (2012) proposed a novel probability estimation method from small samples Eph√2 that is optimal according to the mean absolute error of the estimation result. In this paper we show that, even though the articulation of Piegat’s formula seems different, it is in fact a special case of the m-estimate, where pa = 1/2 and m = √2. In the context of an experimental framework, we present an in-depth analysis of several probability estimation methods with respect to their mean absolute errors and demonstrate their potential advantages and disadvantages. We extend the analysis from single instance samples to samples with a moderate number of instances. We define small samples for the purpose of estimating probabilities as samples containing either less than four successes or less than four failures and justify the definition by analysing probability estimation errors on various sample sizes.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 783-796
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Error estimation and adaptivity for nonlinear FE analysis
Autorzy:
Huerta, A.
Rodriguez-Ferran, A.
Diez, P.
Powiązania:
https://bibliotekanauki.pl/articles/907892.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
element skończony
finite elements
error estimation
adaptivity
nonlinearity
quality of FE solutions
damage models
Opis:
An adaptive strategy for nonlinear finite-element analysis, based on the combination of error estimation and h-remeshing, is presented. Its two main ingredients are a residual-type error estimator and an unstructured quadrilateral mesh generator. The error estimator is based on simple local computations over the elements and the so-called patches. In contrast to other residual estimators, no flux splitting is required. The adaptive strategy is illustrated by means of a complex nonlinear problem: the failure analysis of a single-edge notched beam. The quasi-brittle response of concrete is modelled by means of a nonlocal damage model.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 59-70
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Identification of parametric models with a priori knowledge of process properties
Autorzy:
Janiszowski, K. B.
Wnuk, P.
Powiązania:
https://bibliotekanauki.pl/articles/330128.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
absolute error measure
constrained parameters estimation
parametric MISO models
błąd bezwzględny
estymacja parametrów
model parametryczny
Opis:
An approach to estimation of a parametric discrete-time model of a process in the case of some a priori knowledge of the investigated process properties is presented. The knowledge of plant properties is introduced in the form of linear bounds, which can be determined for the coefficient vector of the parametric model studied. The approach yields special biased estimation of model coefficients that preserves demanded properties. A formula for estimation of the model coefficients is derived and combined with a recursive scheme determined for minimization of the sum of absolute model errors. The estimation problem of a model with known static gains of inputs is discussed and proper formulas are derived. This approach can overcome the non-identifiability problem which has been observed during estimation based on measurements recorded in industrial closed-loop control systems. The application of the proposed approach to estimation of a model for an industrial plant (a water injector into the steam flow in a power plant) is presented and discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 4; 767-776
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recursive set membership estimation for output-error fractional models with unknown-but-bounded errors
Autorzy:
Amairi, M.
Powiązania:
https://bibliotekanauki.pl/articles/331145.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fractional calculus
set membership
estimation
unknown but bounded error
układ niecałkowitego rzędu
zbiór estymacyjny
błąd ograniczony
Opis:
This paper presents a new formulation for set-membership parameter estimation of fractional systems. In such a context, the error between the measured data and the output model is supposed to be unknown but bounded with a priori known bounds. The bounded error is specified over measurement noise, rather than over an equation error, which is mainly motivated by experimental considerations. The proposed approach is based on the optimal bounding ellipsoid algorithm for linear output-error fractional models. A numerical example is presented to show effectiveness and discuss results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 543-553
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Regional observation and sensors
Autorzy:
El Jai, A.
Hamzaoui, H.
Powiązania:
https://bibliotekanauki.pl/articles/907859.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ o parametrach rozłożonych
czujnik pomiarowy
obserwowalność
błąd obserwacji
distributed parameter system
sensor
observability
observation error
Opis:
The purpose of this short paper is to provide original results related to the choice of the number of sensors and their supports for general distributed parameter systems. We introduce the notion of extended sensors and we show that the observation error decreases when the support of a sensor is widened. We also show that the observation error decreases when the number of sensors increases.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 5-14
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal erasures in decision-feedback equalization for the Gaussian noise
Autorzy:
Kisilewicz, J. W.
Grzybowski, A.
Powiązania:
https://bibliotekanauki.pl/articles/908464.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
transmisja danych
decyzyjne sprzężenie zwrotne
interferencja międzysymbolowa
data communication
decision feedback equalizer
intersymbol interference
error rate minimization
Opis:
A new method of optimizing decision feedback parameters for intersymbol interference equalizers is described. The coefficient existing in the decision feedback loop depends on risk qualification of the received decision. We prove that bit error probability can be decreased with this method for any channel with a single interference sample and small Gaussian noise. Experimental results are presented for selected channels. The dependences of optimal feedback parameters on channel interference samples and noise power are presented, too.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 1; 147-154
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discretization of singular systems and error estimation
Autorzy:
Karampetakis, N. P.
Karamichalis, R.
Powiązania:
https://bibliotekanauki.pl/articles/330393.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
descriptor system
discretization
truncation error
first order hold
zero order hold
układ deskrypcyjny
dyskretyzacja
błąd obcięcia
szacowanie błędu
Opis:
This paper proposes a discretization technique for a descriptor differential system. The methodology used is both triangular first order hold discretization and zero order hold for the input function. Upper bounds for the error between the continuous and the discrete time solution are produced for both discretization methods and are shown to be better than any other existing method in the literature.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 1; 65-73
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Backpropagation generalized delta rule for the selective attention Sigma-if artificial neural network
Autorzy:
Huk, M.
Powiązania:
https://bibliotekanauki.pl/articles/331310.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sztuczna sieć neuronowa
wsteczna propagacja błędu
artificial neural networks
selective attention
self-consistency
error back-propagation
delta rule
Opis:
In this paper the Sigma-if artificial neural network model is considered, which is a generalization of an MLP network with sigmoidal neurons. It was found to be a potentially universal tool for automatic creation of distributed classification and selective attention systems. To overcome the high nonlinearity of the aggregation function of Sigma-if neurons, the training process of the Sigma-if network combines an error backpropagation algorithm with the self-consistency paradigm widely used in physics. But for the same reason, the classical backpropagation delta rule for the MLP network cannot be used. The general equation for the backpropagation generalized delta rule for the Sigma-if neural network is derived and a selection of experimental results that confirm its usefulness are presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 449-459
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Efficient decision trees for multi-class support vector machines using entropy and generalization error estimation
Autorzy:
Kantavat, P.
Kijsirikul, B.
Songsiri, P.
Fukui, K. I.
Numao, M.
Powiązania:
https://bibliotekanauki.pl/articles/330532.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
support vector machine
multi-class classification
generalization error
decision tree
maszyna wektorów wsparcia
klasyfikacja wieloklasowa
błąd generalizacji
drzewo decyzyjne
Opis:
We propose new methods for support vector machines using a tree architecture for multi-class classification. In each node of the tree, we select an appropriate binary classifier, using entropy and generalization error estimation, then group the examples into positive and negative classes based on the selected classifier, and train a new classifier for use in the classification phase. The proposed methods can work in time complexity between O(log2 N) and O(N), where N is the number of classes. We compare the performance of our methods with traditional techniques on the UCI machine learning repository using 10-fold cross-validation. The experimental results show that the methods are very useful for problems that need fast classification time or those with a large number of classes, since the proposed methods run much faster than the traditional techniques but still provide comparable accuracy.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 4; 705-717
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Scalable PP-1 block cipher
Autorzy:
Bucholc, K.
Chmiel, K.
Grocholewska-Czuryło, A.
Idzikowska, E.
Janicka-Lipska, I.
Stokłosa, J.
Powiązania:
https://bibliotekanauki.pl/articles/907705.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
resistance against cryptanalysis
symmetric cipher
scalable cipher
S-box construction
error detection
szyfrowanie symetryczne
szyfrowanie skalowalne
kryptoanaliza
wykrywanie błędu
Opis:
A totally involutional, highly scalable PP-1 cipher is proposed, evaluated and discussed. Having very low memory requirements and using only simple and fast arithmetic operations, the cipher is aimed at platforms with limited resources, e.g., smartcards. At the core of the cipher's processing is a carefully designed S-box. The paper discusses in detail all aspects of PP-1 cipher design including S-box construction, permutation and round key scheduling. The quality of the PP-1 cipher is also evaluated with respect to linear cryptanalysis and other attacks. PP-1's concurrent error detection is also discussed. Some processing speed test results are given and compared with those of other ciphers.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 2; 401-411
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exploring the Human Handwriting Process
Autorzy:
Bouslama, F.
Benrejeb, M.
Powiązania:
https://bibliotekanauki.pl/articles/911159.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
charakter pisma
model dynamiczny
human handwriting
hand-muscle system
EMG signals
Van der Gon dynamic models
feedback error learning
Opis:
The study of human handwriting movements is of great interest to researchers and biologists. It can lead to an understanding of the properties of the biological system that generates the human handwriting movements. With the identification of a dynamical system that exhibits characteristics similar to the biological one, it is possible to study handwriting movements, to identify their driving motor signals and to try to reproduce by machine the handwriting motion. In this paper, we give an analysis of modeling techniques for the handwriting process proposed in the literature. We show that either mathematical models based on the trajectories of handwritten objects or physical models obtained from the dynamic motion of the human hand can be used for modeling the handwriting process. We study the handwriting movements using these approaches and we give an analysis and synthesis of the driving motor signals. We apply the results to the generation of handwritten Arabic letters. We then propose a new synthesis technique where a more promising and realistic model can be obtained. We present the basic idea and expect that some improvement over the previous techniques can be obtained. The technique is based on Feedback Error Learning neural networks.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 4; 877-904
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of some dual properties in discrete dynamic systems
Autorzy:
Zhirabok, A.
Powiązania:
https://bibliotekanauki.pl/articles/908397.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ liniowy
układ nieliniowy
system dynamiczny
system dyskretny
dwoistość
nonlinear system
linear system
algebraic approach
error correction
reachability
duality
Opis:
The problem of duality in nonlinear and linear systems is considered. In addition to the known duality between controllability and observability, new dual notions and their properties are investigated. A way to refine these properties through an isomorphic transformation of the original systems is suggested.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 3; 297-308
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 21

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