PhD Qualifying Examination "Density and Graph Based Clustering Algorithms" Mr. Kai Zhang Abstract: Clustering is a basic and important problem in pattern recognition and machine learning, and has received numerous attention in a variety of application fields. In this paper, we make a brief review on two kinds of clustering paradigms, density based and graph based clustering approaches. The former one focuses on seeking a reliable model of the underlying data distribution, such as the maximum likelihood inference of Gaussian mixture models (parametric), and the mean shift clustering (nonparametric). The latter one, in particular, the spectral clustering method, uses the eigenvectors of the affinity matrix that encodes the local data structure to make a global decision of clustering. These two kinds of methods have been successfully applied in the fields of computer vision, medical imaging, machine learning, data mining, and design automation. We introduce their basic conceptions, related algorithms, and a number of applications. At last we identify some connections between these two kinds of clustering approaches, which provide directions for our future work. Date: Monday, 19 December 2005 Time: 10:00a.m.-12:00noon Venue: Room 1504 lifts 25-26 Committee Members: Dr. James Kwok (Supervisor) Dr. Qiang Yang (Chairperson) Dr. Albert Chung Dr. Dit-Yan Yeung **** ALL are Welcome ****