Abstract
Blind source separation (BSS) tries to transform a mixed random vector in order to recover the original independent sources. We present a new approach to linear BSS by using either a self-organizing map (SOM) or a neural gas (NG). In comparison to other mixture-space analysis (’geometric’) algorithms, these result in a considerable improvement in separation quality, although the computational cost is rather high. One goal of these algorithms is to establish connections between neural networks and BSS that could further be exploited by for example transferring convergence proofs for SOMs to geometric BSS algorithms.
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References
S. Amari, A. Cichocki, and H.H. Yang. A new learning algorithm for blind signal separation. Advances in Neural information Processing Systems, 8:757–763, 1996.
A.J. Bell and T.J. Sejnowski. An information-maximization approach to blind seperation and blind deconvolution. Neural Computation, 7:1129–1159, 1995.
J.-F. Cardoso. Blind signal seperation: Statistical principals. Proc. IEEE, 86:2009–2025, 1998.
P. Comon. Independent component analysis—a new concept? Signal Processing, 36:287–314, 1994.
M. Cottrell and J.-C. Fort. Etude d’un processus d’auto-organisation. Annales de I’Institut Henri Poincare, 23(l):l–20, 1987.
J. Herault and C. Jutten. Space or time adaptive signal processing by neural net-work models. In J.S. Denker, editor, Neural Networks for Computing. Proceedings of the AIP Conference, pages 206–211, New York, 1986. American Institute of Physics.
A. Hyvarinen and E. Oja. A fast fixed-point algorithm for independent component analysis. Neural Computation, 9:1483–1492, 1997.
J. Karhunen, S. Malaroiu, and M. Ilmoniemi. Local linear independent component analysis based on clustering. Int. J. of Neural Systems, 10(6), 2000.
Teuvo Kohonen. Self-organizing formation of topologically correct feature maps. Biol. Cyb., 43(l):59–69, 1982.
T.M. Martinetz, S.G. Berkovich, and K.J. Schulten. ‘neural-gas’ network for vector quantization and its application to time-series prediction. IEEE Transactions on Neural Networks, 4(4):558–569, 1993.
P. Pajunen, A. Hyvarinen,, and J. Karhunen. Nonlinear blind source separation by self-organizing maps. Progress in Neural Information Processing, Proc. of the International Conference on Neural Information Processing (ICONIP’96), Hong Kong, 2:1207–1210, 1996.
C.G. Puntonet and A. Prieto. An adaptive geometrical procedure for blind separation of sources. Neural Processing Letters, 2, 1995.
M. Rodriguez-Alvarez, F. Rojas, C.G. Puntonet, J. Ortega, F.J. Theis, and E.W. Lang. A geometric IC A procedure based on a lattice of the observation space. ICA 2003 submitted, 2003.
F.J. Theis, A. Jung, E.W. Lang, and C.G. Puntonet. A theoretic model for geometric linear ICA. Proc. of ICA 2001, pages 349–354, 2001.
F.J. Theis, A. Jung, C.G. Puntonet, and E.W. Lang. Linear geometric ICA: Fundamentals and algorithms. Neural Computation, 15:1–21, 2002.
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Theis, F.J., Alvarez, M.R., Puntonet, C.G., Lang, E.W. (2003). An Adaptive Approach to Blind Source Separation Using a Self-Organzing Map and a Neural Gas. In: Mira, J., Álvarez, J.R. (eds) Artificial Neural Nets Problem Solving Methods. IWANN 2003. Lecture Notes in Computer Science, vol 2687. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44869-1_88
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DOI: https://doi.org/10.1007/3-540-44869-1_88
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