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  4. Parallel algorithms for computing all possible subset regression models using the qr decomposition
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Parallel algorithms for computing all possible subset regression models using the qr decomposition

File(s)
Journal
Parallel Computing
Date Issued
April 2003
Author(s)
Gatu, Cristian  
Kontoghiorghes, Erricos John  
DOI
10.1016/S0167-8191(03)00019-X
Abstract
Efficient parallel algorithms for computing all possible subset regression models are proposed. The algorithms are based on the dropping columns method that generates a regression tree. The properties of the tree are exploited in order to provide an efficient load balancing which results in no inter-processor communication. Theoretical measures of complexity suggest linear speedup. The parallel algorithms are extended to deal with the general linear and seemingly unrelated regression models. The case where new variables are added to the regression model is also considered. Experimental results on a shared memory machine are presented and analyzed.
Subjects

Parallel algorithms

Mathematical models

Parallel algorithms

Regression analysis

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