A Learning Algorithm for the Blind Separation of Non-zero Skewness Source Signals with No Spurious Equilibria (1997)
| Venue: | in Proc. ESANN |
| Citations: | 1 - 1 self |
BibTeX
@INPROCEEDINGS{Choi97alearning,
author = {Seungjin Choi and Ruey-wen Liu},
title = {A Learning Algorithm for the Blind Separation of Non-zero Skewness Source Signals with No Spurious Equilibria},
booktitle = {in Proc. ESANN},
year = {1997}
}
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Abstract
. Neural computational approach to blind sources separation was first introduced by Jutten and Herault [6], and further developed by others [9, 3, 7, 4]. Necessary and sufficient conditions for the blind sources separation have been proposed by Cardoso [1], Tong et al [10, 11], and Common [5]. There have been difficulties of implementing necessary and sufficient conditions by a neural network with no spurious equilibria. In this paper, we present a necessary and sufficient condition for the blind sources separation, which can be implemented by a neural network with no spurious equilibria. Specifically, if the source signals are independent and each of them has a non-zero skewness (3rd-order cumulant), then the sources are separated by a linear transformation, if and only if all the 2nd- and 3rd-order cross-cumulants of the output are zero. This condition does not require the 3rd-order cumulants among three different variables to be zero. Because the condition requires only pairwise sta...
Citations
| 87 | Indeterminacy and identifiability of blind identification - Tong - 1991 |
| 74 | Source separation using higher order moments - Cardoso - 1989 |
| 58 | Waveform preserving blind estimation of multiple independent sources - Tong, Inouye, et al. - 1993 |
| 23 | A new on-line adaptive learning algorithm for blind separation of source signals - Cichocki, Unbehauen, et al. - 1994 |
| 16 | Self-adaptive neural networks for blind separation of sources - Cichocki, Amari, et al. - 1996 |
| 5 | Two novel architectures for the self adaptive separation of signals - Moreau, Macchi - 1993 |
| 3 | IN.C.A.: An independent component analyser based on an adaptive neuromimetic network - Jutten, Herault, et al. - 1988 |
| 2 | Adaptive blind sources separation based on unsupervised learning - Choi - 1996 |
| 2 | A novel approach to the convergence of unsupervised learning algorithm - Liu, Huang, et al. - 1995 |
| 1 | Independent component analysis - Common - 1991 |
| 1 | A neural network for blind signal processing - Ling, Huang, et al. |
