American Institute of Mathematical Sciences

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October  2007, 3(4): 701-713. doi: 10.3934/jimo.2007.3.701

An application of the nearest correlation matrix on web document classification

Houduo Qi 1, , ZHonghang Xia 2, and  Guangming Xing 2,

1. 

School of Mathematics, The University of Southampton, Highfield, Southampton SO17 1BJ, UK, Springfield, MO 65801-2604, United States
2. 

Department of Computer Science, Western Kentucky University, 1906 College Heights Blvd, Bowling Green, Kentucky 42101, United States, United States

Received  October 2006 Revised  July 2007 Published  October 2007

The Web document is organized by a set of textual data according to a predefined logical structure. It has been shown that collecting Web documents with similar structures can improve query efficiency. The XML document has no vectorial representation, which is required in most existing classification algorithms. The kernel method has been applied to represent structural data with pairwise similarity. In this case, a set of Web data can be fed into classification algorithms in the format of a kernel matrix. However, since the distance between a pair of Web documents is usually obtained approximately, the derived distance matrix is not a kernel matrix. In this paper, we propose to use the nearest correlation matrix (of the estimated distance matrix) as the kernel matrix, which can be fast computed by a Newton-type method. Experimental studies show that the classification accuracy can be significantly improved.
Keywords: Semidefinite Programming., Classification, Kernel Matrix, Support vector machines.
Mathematics Subject Classification: Primary: 58F15, 58F1.
Citation: Houduo Qi, ZHonghang Xia, Guangming Xing. An application of the nearest correlation matrix on web document classification. Journal of Industrial & Management Optimization, 2007, 3 (4) : 701-713. doi: 10.3934/jimo.2007.3.701
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