Linear Programs for Automatic Accuracy Control in Regression (1999)
| Venue: | IN NINTH INTERNATIONAL CONFERENCE ON ARTIFICIAL NEURAL NETWORKS, CONFERENCE PUBLICATIONS NO. 470 |
| Citations: | 24 - 4 self |
BibTeX
@INPROCEEDINGS{Smola99linearprograms,
author = {Alex Smola and Bernhard Schölkopf and Gunnar Rätsch},
title = {Linear Programs for Automatic Accuracy Control in Regression},
booktitle = {IN NINTH INTERNATIONAL CONFERENCE ON ARTIFICIAL NEURAL NETWORKS, CONFERENCE PUBLICATIONS NO. 470},
year = {1999},
pages = {575--580},
publisher = {Springer}
}
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Abstract
We have recently proposed a new approach to control the number of basis functions and the accuracy in Support Vector Machines. The latter is transferred to a linear programming setting, which inherently enforces sparseness of the solution. The algorithm computes a nonlinear estimate in terms of kernel functions and an ffl ? 0 with the property that at most a fraction of the training set has an error exceeding ffl. The algorithm is robust to local perturbations of these points' target values. We give an explicit formulation of the optimization equations needed to solve the linear program and point out which modifications of the standard optimization setting are necessary to take advantage of the particular structure of the equations in the regression case.
