Title :
A sequential approach for multi-class discriminant analysis with kernels
Author :
Abdallah, Fahed ; Richard, Cédric ; Lengelle, Régis
Author_Institution :
Lab. LM2S, Univ. de Technologie de Troyes, France
Abstract :
Linear discriminant analysis (LDA) is a standard statistical tool for data analysis. Recently, a method called generalized discriminant analysis (GDA) has been developed to deal with nonlinear discriminant analysis using kernel functions. Difficulties for the GDA method can arise in the form of both computational complexity and storage requirements. We present a sequential algorithm for GDA avoiding these problems when one deals with large numbers of datapoints.
Keywords :
computational complexity; data analysis; matrix algebra; pattern classification; statistical analysis; computational complexity; data analysis; datapoints; generalized discriminant analysis; gradient descent procedure; kernel functions; linear discriminant analysis; multi-class discriminant analysis; nonlinear discriminant analysis; pattern classification; scatter matrices; sequential algorithm; statistical tool; storage requirements; Classification algorithms; Computational complexity; Data analysis; Eigenvalues and eigenfunctions; Kernel; Linear discriminant analysis; Multi-layer neural network; Partitioning algorithms; Scattering; Vectors;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2004. Proceedings. (ICASSP '04). IEEE International Conference on
Print_ISBN :
0-7803-8484-9
DOI :
10.1109/ICASSP.2004.1327145