Coupled Singular Value Decomposition of a Cross Covariance Matrix

Kaiser A, Schenck W, Möller R (2010)
International Journal of Neural Systems 20(04): 293-318.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We derive coupled on-line learning rules for the singular value decomposition (SVD) of a cross-covariance matrix. In coupled SVD rules, the singular value is estimated alongside the singular vectors, and the effective learning rates for the singular vector rules are influenced by the singular value estimates. In addition, we use a first-order approximation of Gram-Schmidt orthonormalization as decorrelation method for the estimation of multiple singular vectors and singular values. Experiments on synthetic data show that coupled learning rules converge faster than Hebbian learning rules and that the first-order approximation of Gram-Schmidt orthonormalization produces more precise estimates and better orthonormality than the standard deflation method.
Stichworte
Newton's method; cross-covariance matrix; Singular value decomposition; coupled learning rule; Hebbian learning
Erscheinungsjahr
2010
Zeitschriftentitel
International Journal of Neural Systems
Band
20
Ausgabe
04
Seite(n)
293-318
ISSN
0129-0657
eISSN
1793-6462
Page URI
https://pub.uni-bielefeld.de/record/1936788

Zitieren

Kaiser A, Schenck W, Möller R. Coupled Singular Value Decomposition of a Cross Covariance Matrix. International Journal of Neural Systems. 2010;20(04):293-318.
Kaiser, A., Schenck, W., & Möller, R. (2010). Coupled Singular Value Decomposition of a Cross Covariance Matrix. International Journal of Neural Systems, 20(04), 293-318. doi:10.1142/S0129065710002437
Kaiser, A., Schenck, W., and Möller, R. (2010). Coupled Singular Value Decomposition of a Cross Covariance Matrix. International Journal of Neural Systems 20, 293-318.
Kaiser, A., Schenck, W., & Möller, R., 2010. Coupled Singular Value Decomposition of a Cross Covariance Matrix. International Journal of Neural Systems, 20(04), p 293-318.
A. Kaiser, W. Schenck, and R. Möller, “Coupled Singular Value Decomposition of a Cross Covariance Matrix”, International Journal of Neural Systems, vol. 20, 2010, pp. 293-318.
Kaiser, A., Schenck, W., Möller, R.: Coupled Singular Value Decomposition of a Cross Covariance Matrix. International Journal of Neural Systems. 20, 293-318 (2010).
Kaiser, Alexander, Schenck, Wolfram, and Möller, Ralf. “Coupled Singular Value Decomposition of a Cross Covariance Matrix”. International Journal of Neural Systems 20.04 (2010): 293-318.

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