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    Automatic classification of lithofacies using fast independent component analysis

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    The problem of automatic classification of facies was addressed using the Fast Independent Component Analysis (FastICA) of a data set of geophysical well logs of the Namorado Field, Campos Basin, Brazil, followed by a k-nearest neighbor (k-NN) classification. The goal of an automatic classification of facies is to produce spatial models of facies that assist the geological characterization of petroleum reservoirs. The FastICA technique provides a new data set that has the most stable and less Gaussian distribution possible. The k-NN classifies this new data set according to its characteristics. The previous application of FastICA improves the accuracy of the k-NN automatic classification and it also provides better results in comparison with the automatic classification by means of the Principal Component Analysis (PCA). © 2015 Sociedade Brasileira de Geofísica.The problem of automatic classification of facies was addressed using the Fast Independent Component Analysis (FastICA) of a data set of geophysical well logs of the Namorado Field, Campos Basin, Brazil, followed by a k-nearest neighbor (k-NN) classification. The goal of an automatic classification of facies is to produce spatial models of facies that assist the geological characterization of petroleum reservoirs. The FastICA technique provides a new data set that has the most stable and less Gaussian distribution possible. The k-NN classifies this new data set according to its characteristics. The previous application of FastICA improves the accuracy of the k-NN automatic classification and it also provides better results in comparison with the automatic classification by means of the Principal Component Analysis (PCA)331119126Barboza, E.G., (2005) Análise Estratigráfica Do Campo De Namorado Com Base Na interpretação Sísmica Tridimensional, 230p. , Doctorate Thesis – UFRGS, BrazilCardoso, J.F., Souloumiac, A., Blind beamforming for non Gaussian signals (1993) IEE Proceedings-F, 140 (6), pp. 362-370Casey, M.A., Method for extracting features from a mixture of signals (2001) Mitsubishi Electric Research Laboratories, , Inc., Cambridge, MA, U.S. Patent n. 6,321,200Comon, P., Independent Component Analysis: A new concept? (1994) Signal Processing, 36 (3), pp. 287-314Cover, T.M., Hart, P.E., Nearest neighbor pattern classification (1967) IEEE Transactions on Information Theory, 13 (1), pp. 21-27Dasarathy, B.V., (1991) Nearest Neighbor (NN) Norms: NN Pattern Classification Techniques, pp. 211-215. , IEEE Computer Society Press, Los Alamitos, Calif. WashingtonFlexa, R.T., Rade, A., Carrasquilla, A., Identificação de litotipos nos perfis de poço do Campo de Namorado (Bacia de Campos, Brasil) e do Lago Maracaibo (Venezuela) aplicando estatística multivariada (2004) Revista Brasileira De Geociências, 34 (4), pp. 571-578Françamm, Análise do uso da terra no município de Viçosa-MG mediado por classificações supervisionadas com Redes Neurais Artificiais e Maxver (2009) Revista Brasileira De Geografia Física, 2 (3), pp. 92-101Giannakopoulos, X., Karhunen, J., Oja, E., A Comparison of neural ICA algorithms using Real-world data (1999) International Joint Conference on Neural Networks, 2, pp. 888-893. , Washington, DCHyvärinen, A., Fast and Robust Fixed-Point Algorithms for IndependentComponentAnalysis (1999) IEEE Transactions on Neural Networks, 10 (3), pp. 626-634Hyvärinen, A., Oja, E., A Fast fixed-point algorithm for Independent Component Analysis (1997) Neural Computation, 9 (7), pp. 1483-1492Hyvärinen, A., Karhunen, J., Oja, E., (2001) Independent Component Analysis, 504p. , Wiley and Sons, New YorkKuhn, H.W., Tucker, A.W., Nonlinear programming (1951) Proceedings of Berkeleysymposium, 2, pp. 481-492. , Berkeley: University of California PressLeite, E.P., Souza Filho, C.R., TEXTNN – A MATLAB program for textural classification using neural networks (2009) Computers& Geosciences, 35 (10), pp. 2084-2094Macleod, A.J., A generalization of Newton-Raphson (1984) Int. J. Math. Educ. Sci. Technol., 15 (1), pp. 117-120Macqueen, J.B., Some Methods for classification and Analysis of Multivariate Observations (1967) Proceedings of Berkeley Symposium on Mathematical Statistics and Probability, 1, pp. 281-297. , 5., Berkeley, University of California PressMarchini, J.L., Heaton, C., Ripley, B.D., (2009) Fastica Algorithms to Perform ICA and Projection Pursuit, 1, pp. 1-11. , R package versionMurata, N., Ikeda, S., Ziehe, A., An approach to blind source separation based on temporal structure of speech signals (2001) Neurocomputing, 41, pp. 1-24Rosa, H., Suslick, S.B., Vidal, A.C., Sakai, G.K., Caracterização de eletrofácies por meio de ferramentas estatísticas multivariadas (2008) Rem: Rev. Esc. Minas, 61 (4), pp. 415-422Sancevero, S.S., Remacre, A.Z., Vidal, A.C., Portugal, R.S., Aplicação de técnicas de estatística multivariada na definição da litologia a partir de perfis geofísicos de poços (2008) Revista Brasileira De Geociências, 38 (1), pp. 61-74Toussaint, G.T., Geometric proximity graphs for improving nearest neighbor methods in instance-based learning and data mining (2005) International Journal of Computational Geometry and Applications, 15 (2), pp. 101-150Vidal, A.C., Sancevero, S.S., Remacre, A.Z., Costanzo, C.P., Modelagem Geoestatística 3D da Impedância Acústica para a Caracterização do Campo de Namorado (2007) Brazilian Journal of Geophysics, 25 (3), pp. 295-305Zhang, K., Chan, L., Dimension reduction as a deflation method in ICA (2006) Signal Processing Letters, IEEE, 13 (1), pp. 45-4

    Matlab

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    This book is a collection of 19 excellent works presenting different applications of several MATLAB tools that can be used for educational, scientific and engineering purposes. Chapters include tips and tricks for programming and developing Graphical User Interfaces (GUIs), power system analysis, control systems design, system modelling and simulations, parallel processing, optimization, signal and image processing, finite different solutions, geosciences and portfolio insurance. Thus, readers from a range of professional fields will benefit from its content
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