دورية أكاديمية
Uniqueness of non-Gaussianity-based dimension reduction.
| العنوان: | Uniqueness of non-Gaussianity-based dimension reduction. |
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| المؤلفون: | Theis, F.J., Kawanabe, M., Müller, K.-R. |
| المصدر: | IEEE Trans. Signal Process. 59, 4478 - 4482 (2011) |
| بيانات النشر: | IEEE |
| سنة النشر: | 2011 |
| المجموعة: | PuSH - Publikationsserver des Helmholtz Zentrums München |
| مصطلحات موضوعية: | Identifiability, Independent subspace analysis, non-Gaussian component analysis, projection pursuit |
| الوصف: | Dimension reduction is a key step in preprocessing large-scale data sets. A recently proposed method named non-Gaussian component analysis searches for a projection onto the non-Gaussian part of a given multivariate recording, which is a generalization of the deflationary projection pursuit model. In this contribution, we discuss the uniqueness of the subspaces of such a projection. We prove that a necessary and sufficient condition for uniqueness is that the non-Gaussian signal subspace is of minimal dimension. Furthermore, we propose a measure for estimating this minimal dimension and illustrate it by numerical simulations. Our result guarantees that projection algorithms uniquely recover the underlying lower dimensional data signals. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 1053-587X 1941-0476 |
| العلاقة: | info:eu-repo/semantics/altIdentifier/wos/undefined; info:eu-repo/semantics/altIdentifier/isbn/1053-587X; info:eu-repo/semantics/altIdentifier/pissn/1053-587X; info:eu-repo/semantics/altIdenti; https://push-zb.helmholtz-muenchen.de/frontdoor.php?source_opus=6790Test; urn:isbn:1053-587X; urn:issn:1053-587X; urn:issn:1941-0476 |
| DOI: | 10.1109/TSP.2011.2159600 |
| الإتاحة: | https://doi.org/10.1109/TSP.2011.2159600Test https://push-zb.helmholtz-muenchen.de/frontdoor.php?source_opus=6790Test |
| حقوق: | info:eu-repo/semantics/closedAccess |
| رقم الانضمام: | edsbas.87F6D459 |
| قاعدة البيانات: | BASE |
| تدمد: | 1053587X 19410476 |
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| DOI: | 10.1109/TSP.2011.2159600 |