Title :
Applications of Clifford support vector machines and Clifford moments for classification
Author :
Bayro-Corrochano, Eduardo ; Arana-Daniel, Nancy ; Vallejo-Gutierrez, Refugio
Author_Institution :
Dept. of Comput. Sci., Centre de Investigation y de Estudios Avanzados, Guadalajara, Mexico
Abstract :
This paper introduces the Clifford support vector machines as a generalization of the real- and complex- valued support vector machines using the Clifford geometric algebra. In this framework we handle the design of kernels involving the Clifford or geometric product for linear and nonlinear classification. We present an interesting application to classify mechanical tools using the concept of Clifford moments which is invariant under affine transformations.
Keywords :
algebra; geometry; support vector machines; Clifford geometric algebra; Clifford moments; Clifford support vector machines; affine transformations; nonlinear classification; Algebra; Application software; Cameras; Computer science; Electronic mail; Kernel; Laboratories; Robustness; Support vector machine classification; Support vector machines;
Conference_Titel :
Neural Networks, 2004. Proceedings. 2004 IEEE International Joint Conference on
Print_ISBN :
0-7803-8359-1
DOI :
10.1109/IJCNN.2004.1381145