Gaussian Mixture Model with Local Consistency

Gaussian Mixture Model (GMM) is one of the most popular data clustering methods which can be viewed as a linear combination of different Gaussian components. In GMM, each cluster obeys Gaussian distribution and the task of clustering is to group observations into different components through estimating each cluster's own parameters. The ExpectationMaximization algorithm is always involved in such estimation problem. However, many previous studies have shown naturally occurring data may reside on or close to an underlying submanifold. In this paper, we consider the case where the probability distribution is supported on a submanifold of the ambient space. We take into account the smoothness of the conditional probability distribution along the geodesics of data manifold. That is, if two observations are "close" in intrinsic geometry, their distributions over different Gaussian components are similar. Simply speaking, we introduce a novel method based on manifold structur...

• Type: Conference
• Year: 2010
• Where: AAAI
• Authors: Jialu Liu, Deng Cai, Xiaofei He
• Keywords: AAAI 2010, Data Clustering, Data Clustering Methods, Gaussian Mixture Model, Intelligent Agents