Structurization of the Covariance Matrix by Process Type and Block-Diagonal Models in the Classifier Design

Informatica

Volumn 10, Issue 2, 1999, Pages 245-269

  Saudargiene, Aušra ^a,b  

^a VILNIUS UNIVERSITY   (Lithuania)

^b KAUNAS UNIVERSITY OF TECHNOLOGY   (Lithuania)

Author keywords

Covariance matrix; Dimensionality; Generalization; Learning set size; Regularized discriminant analysis; Single layer perception

Indexed keywords

EID: 0000003678     PISSN: 08684952     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. Box, G.E.P., G.M. Jenkins (1974). Time Series Analysis. Forecasting and Control. Mir, Moscow (in Russian).
2. Bryant, J., and L.E. Jr. Gusseman (1979). Distance preserving linear feature selection. Pattern Recognition. 5/6, 347-352.
3. Deev, A.D. (1970). Representation of statistics of discriminant analysis and asymptotic expansions in dimensionalities comparable with sample size. Reports of Acad. of Sci. of the USSR, 195(4), 756-762 (in Russian).
4. Deev, A.D. (1974). Discriminant function designed on independent blocks of variables. Proc. Acad. of Sci. of USSR, Eng. Cybernetics, USSR J., 12, 153-156 (in Russian).
5. Friedman J.M. (1989). Regularized discriminant analysis. American Statistical Association, 84, 165-175.
6. Fukunaga, K. (1972). Introduction to Statistical Pattern Recognition. Academic Press, New York.
7. Han, C.P. (1970). Distribution of discriminant function in circular models. Ann. Inst. Stat. Mathematics, 22(1), 117-175.
8. Isermann, R. (1981). Digital Control Systems. Springer-Verlag, Berlin.
9. Kligienė, N. (1977). Asymptotic estimate of the probability of misclassification of autoregressive sequences. Statistical Problems of Control, 19, 81-101 (in Russian).
10. Kligys, V. (1981). On the classification of multivariate Markov sequences. Statistical Problems of Control, 50, 57-75 (in Russian).
11. Kligys, V. (1984). Investigation of the algorithms of classification by lots. Statistical Problems of Control, 68, 95-106 (in Russian).
12. Meshalkin, L.D., and V.I. Serdobolskij (1978). Errors in classifying multivariate observations. Theory of Probabilities and Applications, 23(4), 772-781 (in Russian).
13. Morgera, D., and D.B. Cooper (1977). Structurized estimation: Sample size reduction for adaptive pattern classification. IEEE Trans. Information Theory, 23, 728-741.
14. Raudys, Š. (1967). On determining training sample size of linear classificator. Computing Systems, 28, Novosibirsk. 79-87 (in Russian).
15. Raudys, Š. (1972). On the amount of a priori information in the designing the classification algorithm. Proc. Acad. of Sci. of USSR. Eng. Cybernetics, 14, 168-174 (in Russian).
16. Raudys, Š. (1973). Estimation of probability of misclassification. Statistical Problems of Control, 5, 10-45 (in Russian).
17. Raudys, Š. (1976). Limitation of sample size in classification problems. Statistical Problems of Control, 18, 1-186.
18. Raudys, Š. (1991). Methods for overcoming dimensionality problems in statistical pattern recognition. A review. Zavodskaya Laboratory, 57(3), 45-55 (in Russian).
19. Raudys, Š. (1998). Evolution and generalization of a single neurone: I. Single-layer perception as seven statistical classifiers. Neural Networks, 11, 283-296.
20. Raudys, Š., V. Pikelis (1980). On dimensionality, sample size, classification error, and complexity of classification algorithm in pattern recognition. IEEE Trans. on PAMI, PAMI-2(3), 242-252.
21. Raudys, S., and A. Saudargienė (1998). Structures of the covariance matrices in the classifier design. Advances in Pattern Recognition. Springer Lecture notes in computer science. Vol. 1451 (Proc. joint IAPR int. workshops / SSPR'98 and SPR'98. August 11-13, 1998, Sydney, Australia), 583-592.
22. Sammon, J.W. Jr. (1970). An optimal discriminant plane. IEEE Trans. Comput., C-19, 826-829.