Multicategorial classification

Kowalski, B. R., Jurs, P. C., Isenhour, T. L., Reilley, C. N. Anal. Chem. 41, 1969b, 690-700. Computerized learning machines applied to chemical problems. Multicategory pattern classification by least squares. 

A great variety of different methods for multivariate classification (pattern recognition) is available (Table 5.6). The conceptually most simply one is fc-NN classification (Section 5.3.3), which is solely based on the fundamental hypothesis of multivariate data analysis, that the distance between objects is related to the similarity of the objects. fc-NN does not assume any model of the object groups, is nonlinear, applicable to multicategory classification, and mathematically very simple furthermore, the method is very similar to spectral similarity search. On the other hand, an example for a rather sophisticated classification method is the SVM (Section 5.6). 

Pattern Recognition by Independent Multicategory Analysis (PRIMA) is another method retaining some characteristics of SIMCA. It has been applied to the classification of brandies... 

This method can be used for muLticategory classifications application to binary encoded infrared spectra gave however poorer results than distance measurements to centres of gravity C3563. 

Application of a.multicategory piecewise-linear classifier to the interpretation of mass spectra was of "varying success" C88, 89, 1173-Recognition of a C=C double bond in a linearly inseparable data set of mass spectra required 3 to 5 weight vectors to obtain 78 to 87 % predictive ability (75 % was obtained with a single weight vector for the same data set). The lack of a satisfactory theory of piecewise-linear classifiers and rather high computational expenses have prevented up to now broader applications of this classification method. 

Ziemer et. al. C3623 utilized the KNN-method for the identification of amino acid sequences in polypeptides. A multicategory classification was applied to identify separately the N- and C-terminal amino acids in dipeptides. 40 structural classes were defined representing the 20 commonly occurring amino acids in both the N- and C-terrainal position. 

Zhn, K.P., Wong, Y.S. and Hong, G.S. (2009a) Multicategory micro-milling tool wear classification with continnons hidden Markov models. Mechanical System and Signal Processing, 23 547-60. 

A Comprehensive Evaluation of Multicategory Classification Methods for Microarray Gene Expression Cancer Diagnosis. 

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