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2010 IEEE International Conference on Data Mining (2010)
Sydney, Australia
Dec. 13, 2010 to Dec. 17, 2010
ISSN: 1550-4786
ISBN: 978-0-7695-4256-0
pp: 791-796
ABSTRACT
Regression problems on massive data sets are ubiquitous in many application domains including the Internet, earth and space sciences, and finances. In many cases, regression algorithms such as linear regression or neural networks attempt to fit the target variable as a function of the input variables without regard to the underlying joint distribution of the variables. As a result, these global models are not sensitive to variations in the local structure of the input space. Several algorithms, including the mixture of experts model, classification and regression trees (CART), and others have been developed, motivated by the fact that a variability in the local distribution of inputs may be reflective of a significant change in the target variable. While these methods can handle the non-stationarity in the relationships to varying degrees, they are often not scalable and, therefore, not used in large scale data mining applications. In this paper we develop Block-GP, a Gaussian Process regression framework for multimodal data, that can be an order of magnitude more scalable than existing state-of-the-art nonlinear regression algorithms. The framework builds local Gaussian Processes on semantically meaningful partitions of the data and provides higher prediction accuracy than a single global model with very high confidence. The method relies on approximating the covariance matrix of the entire input space by smaller covariance matrices that can be modeled independently, and can therefore be parallelized for faster execution. Theoretical analysis and empirical studies on various synthetic and real data sets show high accuracy and scalability of Block-GP compared to existing nonlinear regression techniques.
INDEX TERMS
Gaussian Process, regression, parallel computation
CITATION

K. Das and A. N. Srivastava, "Block-GP: Scalable Gaussian Process Regression for Multimodal Data," 2010 IEEE International Conference on Data Mining(ICDM), Sydney, Australia, 2010, pp. 791-796.
doi:10.1109/ICDM.2010.38
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