Abstract:A modified K-nearest neighbor based decision boundary analysis (KNN-DBA) method is proposed for improving the classification performance. The decision boundary is determined by K-nearest neighbor classifier which is simple and fast. The extracted feature dimensionality is not limited by class number. Experimental results on the USPS handwritten digit dataset using nearest neighbor and support vector classifiers show that the DBA method outperforms principal component analysis (PCA).
[1] Fukunaga K. Introduction to Statistical Pattern Recognition. 2nd Edition. San Diego, USA: Academic Press, 1990 [2] Fisher R A. The Use of Multiple Measurements in Taxonomic Problems. Annals of Eugenics, 1936, 7(2): 179-188 [3] Duin R P W, Loog M. Linear Dimensionality Reduction via a Heteroscedastic Extension of LDA: the Chernoff Criterion. IEEE Trans on Pattern Analysis and Machine Intelligence, 2004, 26(6): 732-739 [4] Fukunaga K, Mantock J. Nonparametric Discriminant Analysis. IEEE Trans on Pattern Analysis and Machine Intelligence, 1983, 5(6): 671-678 [5] Hastie T J, Tibshirani R J. Discriminant Analysis by Gaussian Mixtures. Journal of the Royal Statistical Society: Series B, 1996, 58(1): 158-176 [6] Zohar H, Aladjem M. Model-Based Mixture Discriminant Analysis-An Experimental Study. Pattern Recognition, 2005, 38(3): 437-440 [7] Lee C, Landgrebe D A. Feature Extraction Based on Decision Boundaries. IEEE Trans on Pattern Analysis and Machine Intelligence, 1993,15(4): 388-400 [8] Lee C, Landgrebe D A. Decision Boundary Feature Extraction for Nonparametric Classification. IEEE Trans on Systems, Man and Cybernetics, 1993, 23(2): 433-444 [9] Yang Jian, Zhang D, Frangi A F, et al. Two-Dimensional PCA: A New Approach to Appearance-Based Face Representation and Recognition. IEEE Trans on Pattern Analysis and Machine Intelligence, 2004, 26(1): 131-137 [10] Yang Jian, Zhang D, Xu Yong, et al. Two-Dimensional Discriminant Transform for Face Recognition. Pattern Recognition, 2005, 38(7): 1125-1129 [11] Xiong H L, Swamy M N S, Ahmad M O. Two-Dimensional FLD for Face Recognition. Pattern Recognition, 2005, 38(7): 1121-1124 [12] Zhang Jiaying, Liu Yanxi. SVM Decision Boundary Based Discriminative Subspace Induction. Pattern Recognition, 2005, 38(10): 1746-1758 [13] Newman D J, Hettich S, Blake C L, et al. UCI Repository of Machine Learning Databases [DB/OL]. [2006-05-10]. http://www.ics.uci.edu/~mlearn/MLRepository.html