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    Tytuł:
    An approach to identify the interactions between the control factors in a Mahalanobis-Taguchi System
    Autorzy:
    Labidi, Amal
    Tanabe, Ikuo
    Tanabe, Yuko
    Isobe, Hiromi
    Powiązania:
    https://bibliotekanauki.pl/articles/2052189.pdf
    Data publikacji:
    2022
    Wydawca:
    Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
    Tematy:
    MT system
    Mahalanobis-Taguchi system
    RT method
    control
    Mahalanobis distance
    design of experiment
    Opis:
    The Mahalanobis-Taguchi System (MTS) is, today, widely used to define the optimal conditions for the design stage of product development especially, in the field of Artificial Intelligence (AI) considering the non-linear properties and non-digital data. In this paper, an approach to identify the several interactions in a MTS is proposed. The MTS contains four methods; Mahalanobis-Taguchi (MT) method, Mahalanobis Taguchi Adjoint (MTA) method, Recognition Taguchi (RT) method and Taguchi (T) method. The method to use for the analysis is selected based on the system’s properties. For the case of study used in this research, the unit space is created through the RT method and used to calculate the Mahalanobis-Taguchi distances (MTD). For the method proposed in this paper, the relationships between control factors and MTDs were firstly clarified by MTS (RT), then the same relationships were clarified using a modified design of experiments method, and the several interactions between control factors in MTS (RT) were finally identified by comparing the two relationships. Then effectiveness of the proposed method was evaluated by using a mathematical model.
    Źródło:
    Journal of Machine Engineering; 2022, 22, 1; 96-110
    1895-7595
    2391-8071
    Pojawia się w:
    Journal of Machine Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Metoda 4M – nowe zastosowanie spektroskopii mössbauerowskiej w klasyfikacji zrównoważonych chondrytów zwyczajnych
    4M method – the new application of Mössbauer spectroscopy for classification of equilibrated ordinary chondrites
    Autorzy:
    Woźniak, Marek
    Karwowski, Łukasz
    Gałązka-Friedman, Jolanta
    Duda, Przemysław
    Jakubowska, Martyna
    Bogusz, Patrycja
    Powiązania:
    https://bibliotekanauki.pl/articles/1033156.pdf
    Data publikacji:
    2020
    Wydawca:
    Polskie Towarzystwo Meteorytowe
    Tematy:
    4M method
    Cluster Analysis
    Mahalanobis distance
    Multidimensional Discriminant Analysis
    Mössbauer spectroscopy
    Principal Components Analysis
    meteorites
    meteorites classification
    ordinary chondrites
    Opis:
    The 4M method aims to determine the type of equilibrated ordinary chondrite only on the basis of the Mössbauer spectrum of the investigated meteorite. Mössbauer spectrum of non-weathered ordinary chondrite is comprised of four sub-spectra: two doublets and two sextets. One of the doublets consists of a signal from iron present in olivine and the other consists of a signal from iron present in pyroxene. Sextets on the other hand, contain signals from magnetically ordered iron. One sextet is related to the metallic phase (kamacite, taenite), whereas the second is related to troilite. A third of doublets, which emerges in weathered ordinary chondrites, is related to products of the oxidation of iron present in metallic phase. The spectral areas of olivine, pyroxenes, metallic phase and troilite, which were obtained from Mössbauer spectrum are proportional to the number of iron atoms present in relevant mineral phases. Some Mössbauer groups were inspired by this fact to construct different methods to determine the type (H, L, or LL) of investigated meteorites (Gałązka-Friedman et al. 2019, Hyp. Inter. 241(1)). However, these methods, based on subjective criteria, were only qualitative. Our group elaborated a quantitative method, which is based on objective criteria. We called it the "4M method" (where M are derived from meteorites, Mössbauer spectroscopy, multidimensional discriminant analysis (MDA), Mahalanobis distance) (Woźniak et al. 2019). This method was using only the Mössbauer experimental data, to which it applied advanced statistical methods. The base, which was created from Mössbauer data, consisted of three clusters H, L, LL. These clusters were constructed with sets of 4-dimensional vectors. The vectors are comprised of spectral areas of Mössbauer spectrum: ol (value proportional to iron present in olivine), pyr (value proportional to iron present in pyroxene), met (value proportional to iron present in metallic phase), tr (value proportional to iron present in troilite). To determine the type of investigated ordinary chondrite, its ol, pyr, met and tr values with average values of variables obtained for clusters H, L and LL need to be compared. The comparison can be performed with the use of MDA and Mahalanobis distance. Once Mahalanobis distance of the investigated meteoriteis is known, the level of similarity to three types of ordinary chondrites can be calculated. Examples of such calculations were performed for seven ordinary chondrites: Goronyo, Carancas, New Concord, NWA 7733, Leoncin, Sołtmany and Pułtusk. They were made with the use of the new base composed of 62 non-weathered ordinary chondrites. All results obtained with the 4M method yielded results consistent with traditional mineralogical methods.
    Źródło:
    Acta Societatis Metheoriticae Polonorum; 2020, 11; 125-140
    2080-5497
    Pojawia się w:
    Acta Societatis Metheoriticae Polonorum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The definition of the area of felling forests by high resolution satellite images
    Autorzy:
    Burshtynska, K.
    Polishchuk, B.
    Madyar, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/100258.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Rolniczy im. Hugona Kołłątaja w Krakowie
    Tematy:
    remote sensing of the Earth
    space image
    forest monitoring
    classification
    method of maximum probability
    Mahalanobis's method
    method of minimum distance
    deforestation
    teledetekcja Ziemi
    klasyfikacja
    monitoring lasu
    metoda maksymalnego prawdopodobieństwa
    Metoda Mahalanobisa
    wylesienie
    Opis:
    The paper presents a hybrid classification method based on the determination of the optimal number of classes according to uncontrolled classification followed by image processing techniques of controlled classification. A criterion for determining the optimal number of classes is proposed based on the definition of averaged values differences of average spectral brightness among the classes. Space images from satellites Ikonos (2002, 2007) and QuickBird (2010) were used to study different time cuttings in the forests of the Carpathian region. A significant amount of ground observation was held for getting test information. A Hybrid Classification Method is used for different time cuttings by QuickBird satellite images and implemented in a software environment of ERDAS Imagine. In order to obtain acreage of cuttings made for the period of 2002-2007 and 2007-2010, a comparative analysis of cuttings is introduced in these time intervals and their area is determined on the basis of the digital images of polygons in the ArcGIS software environment.
    Źródło:
    Geomatics, Landmanagement and Landscape; 2014, 3; 43-54
    2300-1496
    Pojawia się w:
    Geomatics, Landmanagement and Landscape
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Badanie zmienności fenotypowej genotypów lnu oleistego (Linum usitatissimum L.) za pomocą statystycznych metod wielowymiarowych
    Investigation of phenotypic distance of genotypes of oilseed flax (Linum usitatissimum L.) using multivariate statistical methods
    Autorzy:
    Bocianowski, J.
    Silska, G.
    Praczyk, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/832680.pdf
    Data publikacji:
    2013
    Wydawca:
    Instytut Hodowli i Aklimatyzacji Roślin
    Tematy:
    len oleisty
    Linum usitatissimum
    genotyp
    zmiennosc fenotypowa
    metody statystyczne
    metody statystyczne wielowymiarowe
    wielowymiarowa analiza wariancji
    odleglosc Mahalanobisa
    linseed
    genotype
    phenotypic variability
    statistical method
    multidimensional statistical method
    variance analysis
    Mahalanobis distance
    Opis:
    Celem badań była wielocechowa charakterystyka zmienności dziesięciu cech osiemnastu geno-typów lnu uprawnego (Linum usitatissimum L.). Zastosowano metodę analizy zmiennych kanonicznych opartą na modelu wielowymiarowej analizy wariancji dla obserwowanych cech. Materiałem do badań było: dwanaście rodów hodowlanych i sześć odmian lnu uprawnego. Doświadczenia założono w układzie całkowicie losowym w trzech powtórzeniach, w dwóch sezonach wegetacji (2008, 2009) w Zakładzie Doświadczalnym IWNiRZ w Wojciechowie. Rody i odmiany oceniono pod względem dziesięciu cech ilościowych. Przeprowadzona wielowymiarowa analiza wariancji wykazała istotne zróżnicowanie genotypów, jak również zróżnicowanie ekspresji genotypów w latach. Zastosowana metoda zmiennych kanonicznych wykazała różne zachowanie genotypów w poszczególnych latach. Stwierdzono istotną statystycznie korelację odległości Mahalanobisa otrzymanych w obu latach: r = 0,5942, P < 0,001. Genotypy charakteryzujące się największym zróżnicowaniem genetycznym mogą posłużyć do tworzenia odrębnych pul genetycznych lnu uprawnego.
    The aim of this study was the multivariate characteristics of the variability of ten traits of eighteen flax objects. The multivariate analysis of variance and canonical variate analysis were used. The plant material consisted of 12 breeding lines and 6 registered varieties of flax The experiments were carried out using completely randomized design in three replications during two crop seasons of 2008 and 2009 in an experimental station of Institute of Natural Fibres & Medicinal Plants in Wojciechów. Tested genotypes of flax were evaluated in respect to ten quantitative traits. Multivariate analysis of variance showed significant differences of the investigated genotypes and expression of genotypes in the years of study. The results of canonical variate analysis revealed differences between all the experimental objects in the years of study. Statistically significant correlation of Mahalanobis distance obtained in both years, r = 0.5942, P < 0.001, was found.. Genotypes having the greatest genetic diversity can be used to create a gene pool of flax.
    Źródło:
    Rośliny Oleiste - Oilseed Crops; 2013, 34, 2
    1233-8273
    Pojawia się w:
    Rośliny Oleiste - Oilseed Crops
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Monte Carlo investigation of two distance measures between statistical populations and their application to cluster analysis
    Miary odległości pomiędzy populacjami statystycznymi i ich zastosowanie w analizie skupień - Badanie Monte Carlo
    Autorzy:
    Rossa, Agnieszka
    Powiązania:
    https://bibliotekanauki.pl/articles/904614.pdf
    Data publikacji:
    1997
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    hierarchical cluster analysis methods
    robustness of the nearest neighbour method
    the Mahalanobis distance
    the Kullback-Leibler divergence
    the Marczewski-Steinhaus distance measure
    Opis:
    The paper deals with a simulation study of one of the well-known hierarchical cluster analysis methods applied to classifying the statistical populations. In particular, the problem of clustering the univariate normal populations is studied. Two measures of the distance between statistical populations are considered: the Mahalanobis distance measure which is defined for normally distributed populations under assumption that the covariance matrices are equal and the Kullback-Leibler divergence (the so called Generalized Mahalanobis Distance) the use of which is extended on populations of any distribution. The simulation study is concerned with the set of 15 univariate normal populations, variances of which are chanched during successive steps. The aim is to study robustness of the nearest neighbour method to departure from the variance equality assumption when the Mahalanobis distance formula is applied. The differences between two cluster families, obtained for the same set of populations but with the different distance matrices applied, are studied. The distance between both final cluster sets is measured by means of the Marczewski-Steinhaus distance.
    Źródło:
    Acta Universitatis Lodziensis. Folia Oeconomica; 1997, 141
    0208-6018
    2353-7663
    Pojawia się w:
    Acta Universitatis Lodziensis. Folia Oeconomica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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