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What is Orthogonal Least Squares (OLS) Algorithm

Chapter 199
Encyclopedia of Artificial Intelligence
Algorithm describing a Gram-Schmidt orthogonalisation process which ensures that each new column added to the result matrix of the growing subset is orthogonal to all previous columns. This considerably simplifies the equation for the change in learning error and results in a more efficient algorithm.
Published in Chapter:
RBF Networks for Power System Topology Verification
Robert Lukomski (Wroclaw University of Technology, Poland) and Kazimierz Wilkosz (Wroclaw University of Technology, Poland)
Copyright: © 2009 |Pages: 7
DOI: 10.4018/978-1-59904-849-9.ch199
Abstract
A necessary condition for monitoring and control of a Power System (PS) is possessing a credible model of this system. The PS model for a need of dispatchers in national control centre is created in real time. An important element of such a model is a topology model. PS Topology Verification (PSTV) is an important problem in PS engineering. Often this problem is solved together with PS state estimation (Lukomski, & Wilkosz, 2000; Mai, Lefebvre, & Xuan, 2003). Methods, that enable such a solution of the problem, are sophisticated and usually time consuming. They require successful state estimation performance but convergence problems may occur in the case of certain Topology Errors (TEs). Thus, a robust method for PSTV before a state estimation is desired.
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