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arXiv 1507.06802stat.MLcs.LG
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Implicitly Constrained Semi-Supervised Least Squares Classification

Delft University of Technology(代尔夫特理工大学);Leiden University Medical Center(莱顿大学医学中心);University of Copenhagen(哥本哈根大学)

Jesse H. Krijthe, Marco Loog

英文摘要:

We introduce a novel semi-supervised version of the least squares classifier. This implicitly constrained least squares (ICLS) classifier minimizes the squared loss on the labeled data among the set of parameters implied by all possible labelings of the unlabeled data. Unlike other discriminative semi-supervised methods, our approach does not introduce explicit additional assumptions into the objective function, but leverages implicit assumptions already present in the choice of the supervised least squares classifier. We show this approach can be formulated as a quadratic programming problem and its solution can be found using a simple gradient descent procedure. We prove that, in a certain way, our method never leads to performance worse than the supervised classifier. Experimental results corroborate this theoretical result in the multidimensional case on benchmark datasets, also in terms of the error rate.

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