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  Measuring Statistical Dependence with Hilbert-Schmidt Norms

Gretton, A., Bousquet, O., Smola, A., & Schölkopf, B. (2005). Measuring Statistical Dependence with Hilbert-Schmidt Norms. In S. Jain, H. Simon, & E. Tomita (Eds.), Algorithmic Learning Theory: 16th International Conference, ALT 2005, Singapore, October 8-11, 2005 (pp. 63-78). Berlin, Germany: Springer.

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 Urheber:
Gretton, A1, 2, Autor           
Bousquet, O, Autor           
Smola, A, Autor           
Schölkopf, B1, 2, Autor           
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_1497794              

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 Zusammenfassung: We propose an independence criterion based on the eigenspectrum of covariance operators in reproducing kernel Hilbert spaces (RKHSs), consisting of an empirical estimate of the Hilbert-Schmidt norm of the cross-covariance operator (we term this a Hilbert-Schmidt Independence Criterion, or HSIC). This approach has several advantages, compared with previous kernel-based independence criteria. First, the empirical estimate is simpler than any other kernel dependence test, and requires no user-defined regularisation. Second, there is a clearly defined population quantity which the empirical estimate approaches in the large sample limit, with exponential convergence guaranteed between the two: this ensures that independence tests based on methodname do not suffer from slow learning rates.
Finally, we show in the context of independent component analysis (ICA) that the performance of HSIC is competitive with that of previously published kernel-based criteria, and of other recently published ICA methods.

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 Datum: 2005-10
 Publikationsstatus: Erschienen
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 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: BibTex Citekey: 3774
DOI: 10.1007/11564089_7
 Art des Abschluß: -

Veranstaltung

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Titel: 16th International Conference on Algorithmic Learning Theory (ALT 2005)
Veranstaltungsort: Singapore
Start-/Enddatum: 2005-10-08 - 2005-10-11

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Quelle 1

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Titel: Algorithmic Learning Theory: 16th International Conference, ALT 2005, Singapore, October 8-11, 2005
Genre der Quelle: Konferenzband
 Urheber:
Jain, S, Herausgeber
Simon, HU, Herausgeber
Tomita, E, Herausgeber
Affiliations:
-
Ort, Verlag, Ausgabe: Berlin, Germany : Springer
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 63 - 78 Identifikator: ISBN: 978-3-540-29242-5

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Titel: Lecture Notes in Computer Science
Genre der Quelle: Reihe
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Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 3734 Artikelnummer: - Start- / Endseite: - Identifikator: -