IEEE/CAA Journal of Automatica Sinica
Citation:  Xiaowei Feng, Xiangyu Kong and Hongguang Ma, "Coupled Crosscorrelation Neural Network Algorithm for Principal Singular Triplet Extraction of a Crosscovariance Matrix," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 2, pp. 147156, 2016. 
[1] 
Kaiser A, Schenck W, Möoller R. Coupled singular value decomposition of a crosscovariance matrix. International Journal of Neural Systems, 2010, 20(4): 293318

[2] 
Cochocki A, Unbehauen R. Neural Networks for Optimization and Signal Processing. New York: John Wiley, 1993.

[3] 
Yuille A L, Kammen D M, Cohen D S. Quadrature and the development of orientation selective cortical cells by Hebb rules. Biological Cybernetics, 1989, 61(3): 183194

[4] 
Feng D Z, Bao Z, Zhang X D. A crossassociative neural network for SVD of nonsquared data matrix in signal processing. IEEE Transactions on Neural Networks, 2001, 12(5): 12151221

[5] 
Diamantaras K I, Kung S Y. Crosscorrelation neural network models. IEEE Transactions on Signal Processing, 1994, 42(11): 32183223

[6] 
Bunch J R, Nielsen C P. Updating the singular value decomposition. Numerische Mathematik, 1978, 31(2): 111129

[7] 
Comon P, Golub G H. Tracking a few extreme singular values and vectors in signal processing. Proceedings of the IEEE, 1990, 78(8): 13271343

[8] 
Ferzali W, Proakis J G. Adaptive SVD algorithm for covariance matrix eigenstructure computation. In: Proceedings of the 1990 International Conference on Acoustics, Speech, and Signal Processing. Albuquerque, NM: IEEE, 1990. 26152618

[9] 
Moonen M, Van Dooren P, Vandewalle J. A singular value decomposition updating algorithm for subspace tracking. SIAM Journal on Matrix Analysis and Applications, 1992, 13(4): 10151038

[10] 
Helmke U, Moore J B. Singularvalue decomposition via gradient and selfequivalent flows. Linear Algebra and Its Applications, 1992, 169: 223248

[11] 
Moore J B, Mahony R E, Helmke U. Numerical gradient algorithms for eigenvalue and singular value calculations. SIAM Journal on Matrix Analysis and Applications, 1994, 15(3): 881902

[12] 
Hori G. A general framework for SVD flows and joint SVD flows. In: Proceedings of the 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing. Hong Kong: IEEE, 2003. II6936

[13] 
Feng D Z, Bao Z, Shi W X. Crosscorrelation neural network models for the smallest singular component of general matrix. Signal Processing, 1998, 64(3): 333346

[14] 
Feng D Z, Zhang X D, Bao Z. A neural network learning for adaptively extracting crosscorrelation features between two highdimensional data streams. IEEE Transactions on Neural Networks, 2004, 15(6): 15411554

[15] 
Hasan M A. A logarithmic cost function for principal singular component analysis. In: Proceedings of the 2008 IEEE International Conference on Acoustics, Speech, and Signal Processing. Las Vegas, NV: IEEE, 2008. 19331936

[16] 
Kong X Y, Ma H G, An Q S, Zhang Q. An effective neural learning algorithm for extracting crosscorrelation feature between two highdimensional data streams. Neural Processing Letters, 2015, 42(2): 459477

[17] 
Cheng L, Hou Z G, Tan M. A simplified neural network for linear matrix inequality problems. Neural Processing Letters, 2009, 29(3): 213230

[18] 
Cheng L, Hou Z G, Lin Y, Tan M, Zhang W C, Wu F X. Recurrent neural network for nonsmooth convex optimization problems with application to the identification of genetic regulatory networks. IEEE Transactions on Neural Networks, 2011, 22(5): 714726

[19] 
Liu Q S, Huang T W, Wang J. Onelayer continuousand discretetime projection neural networks for solving variational inequalities and related optimization problems. IEEE Transactions on Neural Networks and Learning Systems, 2014, 25(7): 13081318

[20] 
Möoller R, Köonies A. Coupled principal component analysis. IEEE Transactions on Neural Networks, 2004, 15(1): 214222

[21] 
Noble B, Daniel J W. Applied Linear Algebra (Third edition). Englewood Cliffs, NJ: Prentice Hall, 1988.

[22] 
Hotelling H. Some new methods in matrix calculation. The Annals of Mathematical Statistics, 1943, 14(1): 134

[23] 
Hotelling H. Further points on matrix calculation and simultaneous equations. The Annals of Mathematical Statistics, 1943, 14(4): 440441
