Neural network and statistical perspectives of classification

Pattern classification using neural networks and statistical methods is discussed and a taxonomy based on their underlying mathematical principles is presented. Typical neural network and statistical classifiers are then compared in a case study using handwritten digit data.

[1]  R. Chevallier,et al.  Comparative Study of Neural Networks and Non Parametric Statistical Methods for Off-Line Handwritten Character Recognition , 1992 .

[2]  David W. Scott,et al.  Multivariate Density Estimation: Theory, Practice, and Visualization , 1992, Wiley Series in Probability and Statistics.

[3]  Josef Kittler,et al.  Pattern recognition : a statistical approach , 1982 .

[4]  Bill Fulkerson,et al.  Machine Learning, Neural and Statistical Classification , 1995 .

[5]  J. Freidman,et al.  Multivariate adaptive regression splines , 1991 .

[6]  D. W. Scott,et al.  Multivariate Density Estimation, Theory, Practice and Visualization , 1992 .

[7]  Erkki Oja,et al.  Classification with learning k-nearest neighbors , 1996, Proceedings of International Conference on Neural Networks (ICNN'96).

[8]  Lasse Holmström,et al.  The self-organizing reduced kernel density estimator , 1993, IEEE International Conference on Neural Networks.

[9]  Frank Rosenblatt,et al.  PRINCIPLES OF NEURODYNAMICS. PERCEPTRONS AND THE THEORY OF BRAIN MECHANISMS , 1963 .

[10]  Patrick J. Grother,et al.  NIST Form-Based Handprint Recognition System , 1994 .

[11]  W. Cleveland,et al.  Smoothing by Local Regression: Principles and Methods , 1996 .

[12]  Rama Chellappa,et al.  Evaluation of pattern classifiers for fingerprint and OCR applications , 1994, Pattern Recognit..

[13]  W. Pitts,et al.  A Logical Calculus of the Ideas Immanent in Nervous Activity (1943) , 2021, Ideas That Created the Future.

[14]  J. Friedman Regularized Discriminant Analysis , 1989 .

[15]  Isabelle Guyon,et al.  Comparison of classifier methods: a case study in handwritten digit recognition , 1994, Proceedings of the 12th IAPR International Conference on Pattern Recognition, Vol. 3 - Conference C: Signal Processing (Cat. No.94CH3440-5).

[16]  Matthew P. Wand,et al.  Kernel Smoothing , 1995 .

[17]  Trevor Hastie,et al.  Statistical Models in S , 1991 .

[18]  Ching Y. Suen,et al.  Building a new generation of handwriting recognition systems , 1993, Pattern Recognit. Lett..

[19]  M. Garris NIST form-based handprint recognition system , 1994 .

[20]  Sargur N. Srihari,et al.  Recognition of handwritten and machine-printed text for postal address interpretation , 1993, Pattern Recognit. Lett..

[21]  Erkki Oja,et al.  Comparison of Neural and Statistical Classifiers - Theory and Practice , 1996 .

[22]  G. McLachlan Discriminant Analysis and Statistical Pattern Recognition , 1992 .

[23]  Toru Wakahara,et al.  Toward robust handwritten character recognition , 1993, Pattern Recognit. Lett..

[24]  R. Tibshirani,et al.  Flexible Discriminant Analysis by Optimal Scoring , 1994 .

[25]  R. Cox,et al.  Journal of the Royal Statistical Society B , 1972 .

[26]  Heekuck Oh,et al.  Neural Networks for Pattern Recognition , 1993, Adv. Comput..

[27]  Erkki Oja,et al.  Subspace methods of pattern recognition , 1983 .

[28]  M. Stone Cross‐Validatory Choice and Assessment of Statistical Predictions , 1976 .