Limited Rank Matrix Learning, discriminative dimension reduction and visualization

Bunte K, Schneider P, Hammer B, Schleif F-M, Villmann T, Biehl M (2012)
Neural Networks 26: 159-173.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
Es wurde kein Volltext hochgeladen. Nur Publikationsnachweis!
Autor/in
; ; ; ; ;
Abstract / Bemerkung
We present an extension of the recently introduced Generalized Matrix Learning Vector Quantization algorithm. In the original scheme, adaptive square matrices of relevance factors parameterize a discriminative distance measure. We extend the scheme to matrices of limited rank corresponding to low-dimensional representations of the data. This allows to incorporate prior knowledge of the intrinsic dimension and to reduce the number of adaptive parameters efficiently. In particular, for very large dimensional data, the limitation of the rank can reduce computation time and memory requirements significantly. Furthermore, two- or three-dimensional representations constitute an efficient visualization method for labeled data sets. The identification of a suitable projection is not treated as a pre-processing step but as an integral part of the supervised training. Several real world data sets serve as an illustration and demonstrate the usefulness of the suggested method. (c) 2011 Elsevier Ltd. All rights reserved.
Stichworte
metrics; Classification; Learning Vector Quantization; Adaptive; Visualization; Dimension reduction
Erscheinungsjahr
2012
Zeitschriftentitel
Neural Networks
Band
26
Seite(n)
159-173
ISSN
0893-6080
Page URI
https://pub.uni-bielefeld.de/record/2489405

Zitieren

Bunte K, Schneider P, Hammer B, Schleif F-M, Villmann T, Biehl M. Limited Rank Matrix Learning, discriminative dimension reduction and visualization. Neural Networks. 2012;26:159-173.
Bunte, K., Schneider, P., Hammer, B., Schleif, F. - M., Villmann, T., & Biehl, M. (2012). Limited Rank Matrix Learning, discriminative dimension reduction and visualization. Neural Networks, 26, 159-173. doi:10.1016/j.neunet.2011.10.001
Bunte, K., Schneider, P., Hammer, B., Schleif, F. - M., Villmann, T., and Biehl, M. (2012). Limited Rank Matrix Learning, discriminative dimension reduction and visualization. Neural Networks 26, 159-173.
Bunte, K., et al., 2012. Limited Rank Matrix Learning, discriminative dimension reduction and visualization. Neural Networks, 26, p 159-173.
K. Bunte, et al., “Limited Rank Matrix Learning, discriminative dimension reduction and visualization”, Neural Networks, vol. 26, 2012, pp. 159-173.
Bunte, K., Schneider, P., Hammer, B., Schleif, F.-M., Villmann, T., Biehl, M.: Limited Rank Matrix Learning, discriminative dimension reduction and visualization. Neural Networks. 26, 159-173 (2012).
Bunte, Kerstin, Schneider, Petra, Hammer, Barbara, Schleif, Frank-Michael, Villmann, Thomas, and Biehl, Michael. “Limited Rank Matrix Learning, discriminative dimension reduction and visualization”. Neural Networks 26 (2012): 159-173.

Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®

Quellen

PMID: 22041220
PubMed | Europe PMC

Suchen in

Google Scholar