Discriminant analysis of binary data following multivariate Bernoulli distribution

Expert Systems with Applications

Volumn 38, Issue 6, 2011, Pages 7795-7802

  Lee, Sang Ho ^a   Jun, Chi Hyuck ^a  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

Binary data; Interaction order; Linear discriminant analysis; Multivariate Bernoulli

Indexed keywords

ARTIFICIAL DATA; BINARY DATA; BINARY VARIABLES; CLASSIFICATION ACCURACY; COMPUTATIONAL TIME; INTERACTION ORDER; JOINT PROBABILITY; LINEAR DISCRIMINANT ANALYSIS; LOGISTIC REGRESSIONS; MISCLASSIFICATION RATES; MULTIVARIATE BERNOULLI;

DISCRIMINANT ANALYSIS; FACE RECOGNITION;

MULTIVARIANT ANALYSIS;

EID: 79951576971     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2010.12.126     Document Type: Article

References (20)

1. J. Aitchison, and C.G.G. Aitken Multivariate binary discrimination by the kernel method Biometrika 63 3 1976 413 420
2. O.K. Asparoukhov, and W.J. Krzanowski A comparison of discriminant procedures for binary variables Computational Statistics and Data Analysis 38 2001 139 160 (Pubitemid 34068248)
3. T.R. Babu, M.N. Murty, and V.K. Agrawal Classification of run-length encoded binary data Pattern Recognition 40 1 2007 321 323 (Pubitemid 44486284)
4. P.J. Bickel, and E. Levina Some theory for Fisher's linear discriminant function, 'naïve Bayes', and some alternatives when there are many more variables than observations Bernoulli 10 6 2004 989 1010 (Pubitemid 44242745)
5. L. Breiman, J.H. Friedman, R.A. Olshen, and C.J. Stone Classification and regression trees 1984 Chapman & Hall Boca Raton, USA
6. I.-G. Chong, and C.-H. Jun Performance of some variable selection methods when multicollinearity is present Chemometrics and Intelligent Laboratory Systems 78 2005 103 112 (Pubitemid 40884382)
7. D.R. Cox The analysis of multivariate binary data Applied Statistics 21 2 1972 113 120
8. L.J. Emrich, and M.R. Piedmonte A method for generating high-dimensional multivariate binary variables The American Statistician 45 1991 302 304
9. D.J. Hand A comparison of two methods of discriminant analysis applied to binary data Biometrics 39 3 1983 683 694
10. T. Hastie, R. Tibshirani, and J. Friedman The elements of statistical learning 2001 Springer New York, USA
11. W.J. Krzanowski Principles of multivariate analysis 1988 Oxford University Press Oxford, UK
12. J.J. Lee Discriminant analysis of binary data with multinomial distribution by using the iterative cross entropy minimization estimation The Korean Communications in Statistics 12 1 2005 125 137
13. J.J. Lee, and J. Hwang Discriminant analysis for binary data by using the maximum entropy distribution The Korean Communications in Statistics 10 3 2003 909 917
14. J.-S. Lee, C.-H. Jun, J. Lee, and S. Kim Classification-based collaborative filtering using market basket data Expert Systems with Applications 29 2005 700 704 (Pubitemid 41230792)
15. J.-S. Lee, C.-H. Jun, J. Lee, and S. Kim A model-based collaborative filtering through regularized discriminant analysis using market basket data International Journal of Management Science 12 2 2006 71 85
16. Leisch, F.; Weingessel, A.; Hornik, K.; 1998. On the generation of correlated artificial binary data. Working paper No. 13, Vienna University of Economics and Business Administration, Austria.
17. P. McCullagh, and J.A. Nelder Generalized linear models 1989 Chapman & Hall London, UK
18. E. Montiel, A.S. Aguado, and M.S. Nixon Texture classification via conditional histograms Pattern Recognition Letters 26 11 2005 1740 1751 (Pubitemid 40752302)
19. B.D. Ripley Pattern recognition and neural networks 1996 Cambridge University Press Cambridge, UK
20. G.A.F. Seber Multivariate observations 1984 Wiley New York, USA