Effects of Sample Size in Classifier Design

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 11, Issue 8, 1989, Pages 873-885

  Fukunaga, Keinosuke ^a   Hayes, Raymond R ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

Bhattacharyya distance; classifier degradation; classifier robustness; linear classifier; parameter estimation errors; quadratic classifier

Indexed keywords

IMAGE PROCESSING--IMAGE ANALYSIS; MATHEMATICAL TECHNIQUES--ESTIMATION;

BHATTACHARYYA DISTANCE; PARAMETER ESTIMATION;

PATTERN RECOGNITION;

EID: 0024716579     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/34.31448     Document Type: Article

References (12)

1. T. S. El-Sheikh and A. G. Wacker, “Effect of dimensionality and estimation on the performance of Gaussian classifiers,” Pattern Recognition. vol. 12. pp. 115-126. 1980.
2. A. K. Jain and B. Chandrasekaran, “Dimensionality and sample size considerations in pattern recognition practice,” in Handbook of Statistics, vol. 2, P. R. Krishnaiah and L. N. Kanal, Eds. Amsterdam, The Netherlands: North-Holland, 1982, pp. 835-855.
3. S. Raudys and V. Pikelis, “On dimensionality, sample size, classification error, and complexity of classification algorithm in pattern recognition,” IEEE Trans. Pattern Anal. Machine Intell., vol. PAM1-2, no. 3, pp. 242-252, May 1980.
4. C. P. Han, “Distribution of discriminant function in circular models,” Inst. Stat. Math. Ann., vol. 22, no. 1, pp. 117-125, 1970.
5. G. J. McLachlan, “Some expected values for the error rates of the sample quadratic discriminant function,” Australian J. Stat., vol. 17, no. 3, pp. 161-165, 1975.
6. H. V. Pipberger, “Computer analysis of electrocardiogram,” in Clinical Electrocardiography and Computers. C. A. Caceres and L. S. Dreifus, Eds. New York: Academic, 1970, pp. 109-119.
7. A. K. Jain, “On an estimate of the Bhattacharyya distance,” IEEE Trans. Syst., Man, Cybern., pp. 763-766, Nov. 1976.
8. H. M. Kalayeh and D. A. Landgrebe, “Predicting the required number of training samples,” IEEE Trans. Pattern Anal. Machine Intell., vol. PAM1-5, no. 6, pp. 664-667, Nov. 1983.
9. D. H. Foley, “Considerations of sample and feature size,” IEEE Trans. Inform. Theory, vol. IT-18, no. 5. pp. 618-626, Sept. 1972.
10. K. Fukunaga, Introduction to Statistical Pattern Recognition. New York: Academic. 1972.
11. L. Novak. “On the sensitivity of Bayes and Fisher classifiers in radar target detection,” in Proc. 18th Asilomar Conf. Circuits, Systems, and Computers, Nov, 5-7, 1984.
12. W. Beyer. CRC Standard Mathematical Tables, 26th ed. Boca Raton. FL: CRC Press. 1981, pp. 44-45.