Citation Relationships



Xu L (2007) One-bit-matching theorem for ICA, convex-concave programming on polyhedral set, and distribution approximation for combinatorics. Neural Comput 19:546-69 [PubMed]

References and models cited by this paper

References and models that cite this paper

Amari SI, Chen TP (1997) Stability analysis of adaptive blind source separation Neural Networks Letter 10:1345-1351

Amari SL, Cichocki A, Yang HH (1996) A new learning algorithm for blind signal separation. Advances in Neural Information Processing Systems., Touretzky D:Mozer M:Hasselmo M, ed. pp.757

Bazaraa MS, Sherali HD, Shetty CM (1993) Nonlinear programming theory and algorithms (2nd ed)

Bell AJ, Sejnowski TJ (1995) An information-maximization approach to blind separation and blind deconvolution. Neural Comput 7:1129-59 [PubMed]

Cardoso JF (1998) Blind source separation: Statistical principles Proc IEEE 86:2009-2025

Cheung CC, Xu L (2000) Some global and local convergence analysis on the information-theoretic independent component analysis approach Neurocomputing 30:79-102

Comon P (1994) Independent component analysis, a new concept? Signal Processing 36:287-314

Delfosse N, Loubaton P (1995) Adaptive blind separation of independent sources: A deflation approach Signal Processing 45:59-83

Edelman A, Arias TA, Smith ST (1998) The geometry of algorithms with orthogonality constraints SIAM J Matrix Anal Appl 20:303-353

Everson R, Roberts S (1999) Independent component analysis: A flexible nonlinearity and decorrelating manifold approach. Neural Comput 11:1957-83 [PubMed]

Girolami M (1998) An alternative perspective on adaptive independent component analysis algorithms Neural Comput 10:2103-14 [PubMed]

Hopfield JJ, Tank DW (1985) "Neural" computation of decisions in optimization problems. Biol Cybern 52:141-52 [PubMed]

Hyvarinen A, Karunen J, Oja E (2001) Independent component analysis

Lee TW, Girolami M, Sejnowski TJ (1999) Independent component analysis using an extended infomax algorithm for mixed subgaussian and supergaussian sources. Neural Comput 11:417-41 [PubMed]

Liu ZY, Chiu KC, Xu L (2004) One-bit-matching conjecture for independent component analysis. Neural Comput 16:383-99 [Journal] [PubMed]

Moreau E, Macchi O (1996) High-order contrasts for self-adaptive source separation International Journal Of Adaptive Control And Signal Processi 10:19-46

Pearlmutter BA, Parra LC (1996) A context-sensitive generalization of ICA International Conference on Neural Information Processing :151-157

Tong L, Inouye Y, Liu R (1993) Waveform-preserving blind estimation of multiple independent sources Signal Processing 41:2461-2470

Welling M, Weber M (2001) A constrained EM algorithm for independent component analysis. Neural Comput 13:677-89 [PubMed]

Xu L (1994) Combinatorial optimization neural nets based on a hybrid of Lagrange and transformation approaches Proc World Congress on Neural Networks :399-404

Xu L (1995) On the hybrid LT combinatorial optimization: New U-shape barrier, sigmoid activation, least leaking energy and maximum entropy Proc Intl Conf Neural Inform Process :309-312

Xu L (1997) Bayesian ying-yang learning based ICA models Proc. 1997 IEEE Signal Processing Society Workshop on Neural Networks for Signal Processing VII :476-485

Xu L (2003) Distribution approximation, combinatorial optimization, and Lagrange-barrier Proc Intl Joint Conf Neural Networks :2354-2359

Xu L (2005) One-bit-matching ICA theorem, convex-Concave programming, and Combinatorial optimization Advances in neural information processing systems :5-20

Xu L, Cheung C, Yang H, Amari SI (1997) Independent component analysis by the information-theoretic approach with mixture of densities Proc. of 1997 IEEE Intl. Conf on Neural Networks (IEEE-INNS IJCNN97) :1821-1826

Xu L, Cheung CC, Amari SI (1998) Further results on nonlinearity and separtion capability of a liner mixture ICA method and learned lpm Proceedings of the IANN98, Fyfe C, ed. pp.39

Xu L, Cheung CC, Amari SI (1998) Learned parametric mixture based ICA algorithm Neurocomputing 22:69-80

Xu L, Yang HH, Amari SI (1996) Signal source separation by mixtures: accumulative distribution functions or mixture of bell-shape density distribution functions Research proposal presented at FRONTIER FORUM

(28 refs)