New Weighted Support Vector K-means Clustering for Hierarchical Multi-class Classification

We propose a binary hierarchical classification structure to address the multi-class classification problem with a new hierarchical design method, weighted support vector k-means clustering, which automatically separates a set of classes into two smaller groups at each node in the hierarchy. This method is able to visualize and cluster high-dimensional support vector data; therefore, it greatly improves upon prior hierarchical classifier design. At each node in the hierarchy, we apply an SVRDM (support vector representation and discrimination machine) classifier, which offers generalization and good rejection of unseen false objects, which is not achieved by the standard SVM classifier. We provide a new theoretical basis for the good SVRDM rejection obtained, due to its looser constrained optimization problem, compared to that of an SVM. New classification and rejection test results are presented on a real IR (infra-red) database.

[1]  Robert Tibshirani,et al.  Classification by Pairwise Coupling , 1997, NIPS.

[2]  Kohji Fukunaga,et al.  Introduction to Statistical Pattern Recognition-Second Edition , 1990 .

[3]  D. Casasent,et al.  Automatic target recognition using new support vector machine , 2005, Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005..

[4]  David Casasent,et al.  Face recognition and verification with pose and illumination variations and imposter rejection , 2005, SPIE Defense + Commercial Sensing.

[5]  Nello Cristianini,et al.  Large Margin DAGs for Multiclass Classification , 1999, NIPS.

[6]  Kishan G. Mehrotra,et al.  Efficient classification for multiclass problems using modular neural networks , 1995, IEEE Trans. Neural Networks.

[7]  Mohammed Yeasin,et al.  A Progressive Framework for Two-Way Clustering Using Adaptive Subspace Iteration for Functionally Classifying Genes , 2006, The 2006 IEEE International Joint Conference on Neural Network Proceedings.

[8]  Thomas S. Huang,et al.  One-class SVM for learning in image retrieval , 2001, Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205).

[9]  D. Casasent,et al.  Support vector machines for class representation and discrimination , 2003, Proceedings of the International Joint Conference on Neural Networks, 2003..

[10]  David Casasent,et al.  Hierarchical K-means Clustering Using New Support Vector Machines for Multi-class Classification , 2006, The 2006 IEEE International Joint Conference on Neural Network Proceedings.

[11]  Pavel Pudil,et al.  Introduction to Statistical Pattern Recognition , 2006 .

[12]  Joydeep Ghosh,et al.  Hierarchical Fusion of Multiple Classifiers for Hyperspectral Data Analysis , 2002, Pattern Analysis & Applications.

[13]  Shigeo Abe DrEng Pattern Classification , 2001, Springer London.

[14]  Corinna Cortes,et al.  Support-Vector Networks , 1995, Machine Learning.

[15]  Robert P. W. Duin,et al.  Data domain description using support vectors , 1999, ESANN.