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  Covariate Shift by Kernel Mean Matching

Gretton, A., Smola, A., Huang, J., Schmittfull, M., Borgwardt, K., & Schölkopf, B. (2009). Covariate Shift by Kernel Mean Matching. In Dataset Shift in Machine Learning (pp. 131-160). Cambridge, MA, USA: MIT Press.

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Gretton, A1, Autor           
Smola, AJ2, Autor           
Huang, J1, Autor           
Schmittfull, M1, Autor           
Borgwardt, KM2, Autor           
Schölkopf, B1, Autor           
Candela, Quiñonero, Herausgeber
J., Herausgeber
Sugiyama, M., Herausgeber
Schwaighofer, A., Herausgeber
Lawrence, N. D., Herausgeber
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497794              

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 Zusammenfassung: Given sets of observations of training and test data, we consider the problem of re-weighting the training data such that its distribution more closely matches that of the test data. We achieve this goal by matching covariate distributions between training and test sets in a high dimensional feature space (specifically, a reproducing kernel Hilbert space). This approach does not require distribution estimation. Instead, the sample weights are obtained by a simple quadratic programming procedure. We provide a uniform convergence bound on the distance between the reweighted training feature mean and the test feature mean, a transductive bound on the expected loss of an algorithm trained on the reweighted data, and a connection to single class SVMs. While our method is designed to deal with the case of simple covariate shift (in the sense of Chapter ??), we have also found benefits for sample selection bias on the labels. Our correction procedure yields its greatest and most consistent advantages when the learning algorithm returns a classifier/regressor that is simpler" than the data might suggest.

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 Datum: 2009-02
 Publikationsstatus: Erschienen
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 Ort, Verlag, Ausgabe: -
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 Identifikatoren: ISBN: 978-0-262-17005-5
URI: http://mitpress.mit.edu/catalog/item/default.asp?ttype=2amp;amp;tid=11755
BibTex Citekey: 5376
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Titel: Dataset Shift in Machine Learning
Genre der Quelle: Buch
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Ort, Verlag, Ausgabe: Cambridge, MA, USA : MIT Press
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 131 - 160 Identifikator: -