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Semi-Supervised Learning$
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Olivier Chapelle, Bernhard Scholkopf, and Alexander Zien

Print publication date: 2006

Print ISBN-13: 9780262033589

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262033589.001.0001

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Data-Dependent Regularization

Data-Dependent Regularization

(p.169) 10 Data-Dependent Regularization
Semi-Supervised Learning

Corduneanu Adrian

Jaakkola Tommi

The MIT Press

This chapter considers two ways of representing the topology over examples, either based on complete knowledge of the marginal density or by grouping together examples whose labels should be related. The learning algorithms and sample complexity issues that result from each representation is discussed here. Information regularization is a principle for assigning labels to unlabeled data points in a semi-supervised setting. The broader principle is based on finding labels that minimize the information induced between examples and labels relative to a topology over the examples; any label variation within a small local region of examples ties together the identities of examples and their labels. Such variation should be minimized unless supported directly or indirectly by the available labeled examples.

Keywords:   topology over examples, marginal density, learning algorithms, sample complexity issues, information regularization, unlabeled data points

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