Using an iterative linear solver in an interior‐point method for generating support vector machines

Using an iterative linear solver in an interior‐point method for generating support vector machines

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Article ID: iaor20108950
Volume: 47
Issue: 3
Start Page Number: 431
End Page Number: 453
Publication Date: Nov 2010
Journal: Computational Optimization and Applications
Authors: ,
Keywords: interior point methods, machine learning, object-oriented programming, support vector machines
Abstract:

This paper concerns the generation of support vector machine classifiers for solving the pattern recognition problem in machine learning. A method is proposed based on interior‐point methods for convex quadratic programming. This interior‐point method uses a linear preconditioned conjugate gradient method with a novel preconditioner to compute each iteration from the previous. An implementation is developed by adapting the object‐oriented package OOQP to the problem structure. Numerical results are provided, and computational experience is discussed.

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