A Theoretical Analysis of the Peaking Phenomenon in Classification
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Abend, K., & Harley, T.J.J. (1969). Comments on the mean accuracy of statistical pattern recognizers. IEEE Transactions on Information Theory, 14, 420–423.
Bowker, A., & Sitgreaves, R. (1961). An asymptotic expansion for the distribution function of the w-classification statistic. In Solomon, H (Ed.) Studies in item analysis and prediction (pp. 292–310): Stanford University Press.
Braga-Neto, U., & Dougherty, E. (2015). Error estimation for pattern recognition. New Jersey: Wiley-IEEE Press.
Campenhout, J.M.V. (1978). On the peaking of the Hughes mean recognition accuracy: the resolution of an apparent paradox. IEEE Transactions on Systems, Man and Cybernetics, 8, 390–395.
Chandrasekaran, B., & Jain, A.K. (1974). Quantization complexity and independent measurements. IEEE Transactions on Computers, 23, 102–106.
Couplet, R., & Debbah, M. (2013). Signal processing in large systems, a new paradigm. IEEE Signal Processing Magazine, 24–39.
Devroye, L., Gyorfi, L., & Lugosi, G. (1996). A probabilistic theory of pattern recognition. New York: Springer.
Duda, R.O., Hart, P.E., & Stork, D.G. (2000). Pattern classification. Wiley.
Efron, B. (2005). Bayesian, frequentists, and scientists. Journal of the American Statistical Association, 100, 1–5.
Girko, V.L. (1995). Statistical analysis of observations of increasing dimension. Dordrecht: Kluwer Academic Publishers.
Hirschhorn, J., & Daly, M.J. (2005). Genome-wide association studies for common diseases and complex traits. Nature Reviews Genetics, 6, 95–108.
Hua, J., Xiong, Z., Lowey, J., Suh, E., & Dougherty, E.R. (2005). Optimal number of features as a function of sample size for various classification rules. Bioinformatics, 21, 1509–1515.
Hughes, G.F. (1968). On the mean accuracy of statistical pattern recognizers. IEEE Transactions on Information Theory, 14, 55–63.
Jain, A., & Waller, W. (1978). On the optimal number of features in the classification of multivariate gaussian data. Pattern Recognition, 10, 365–374.
McLachlan, G. (2004). Discriminant analysis and statistical pattern recognition. New York: Wiley.
Moran, M. (1975). On the expectation of errors of allocation associated with a linear discriminant function. Biometrika, 62, 141–148.
Niu, G. (2017). Data-driven technology for engineering systems health management. Beijing: Science Press-Springer.
Raudys, S. (1967). On determining training sample size of a linear classifier. Computer Systems, 28, 79–87. In Russian.
Raudys, S. (2001). Statistical and neural classifiers an integrated approach to design. London: Springer.
Raudys, S.J., & Jain, A.K. (1991). Small sample size effects in statistical pattern recognition: recommendations for practitioners. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13, 252–264.
Raudys, S., & Young, D.M. (2004). Results in statistical discriminant analysis: a review of the former soviet union literature. Journal of Multivariate Analysis, 89, 1–35.
Rubio, F., Mestre, X., & Palomar, D.P. (2012). Performance analysis and optimal selection of large minimum variance portfolios under estimation risk. IEEE Journal of Selected Topics Signal Process, 6, 337–350.
Serdobolskii, V.I. (1983). On minimum error probability in discriminant analysis. Soviet. Math. Dokl., 27, 720–725.
Serdobolskii, V.I. (2000). Multivariate statistical analysis: a high-dimensional approach. Kluwer Academic Publishers.
Serdobolskii, V. (2008). Multiparametric statistics. Elsevier.
Sitgreaves, R. (1961). Some results on the distribution of the W-classification statistics. In Solomon, H. (Ed.) Studies in item analysis and prediction (pp. 241–251). Stanford: Stanford University Press.
Sorum, M.J. (1973). Estimating the expected probability of misclassification for a rule based on the linear discriminant function: univariate normal case. Technometrics, 15, 329–339.
Waller, W., & Jain, A. (1978). On the monotonicity of the performance of Bayesian classifiers. IEEE Transactions on Information Theory, 24, 392–394.
Wigner, E.P. (1958). On the distribution of the roots of certain symmetric matrices. Annals of Mathematics, 67, 325–327.
Zhang, M., Rubio, F., Palomar, D.P., & Mestre, X. (2013). Finite-sample linear filter optimization in wireless communications and financial systems. IEEE Transactions on Signal Processing, 61, 5014–5025.
Zheng, N., & Xue, J. (2009). Statistical learning and pattern analysis for image and video processing. New York: Springer.
Zondervan, K.T., & Cardon, L.R. (2004). The complex interplay among factors that influence allelic association. Nature Reviews Genetics, 5, 89–100.
Zollanvari, A., & Dougherty, E.R. (2015). Generalized consistent error estimator of linear discriminant analysis. IEEE Transactions on Signal Processing, 63, 2804–2814.