. Démonstration, On applique simplement (4.44), qui est valable pour toute matrice inversible, Par différence, log | det Q| disparait et J(p x ) = J(? x )

. Démonstration, Par définition de l'information, nous avons I

?. Soit and . Matrice-diagonalerégulì-ere, Le vecteur ?x a pour entropie I(p ?x ) = S(? x i ) ? log ? ii ? S(p x ) + log det ?, ce qui prouve que I

P. Comon, Structured Matrices and Inverses, Linear Algebra for Signal Processing of IMA Volumes in Mathematics and its Applications, pp.1-16, 1995.
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P. Comon, Independent component analysis, A new concept?, Special issue on Higher-Order Statistics, pp.287-314, 1994.
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E. Chaumette, P. Comon, and D. Muller, ICA-based technique for radiating sources estimation: application to airport surveillance, Special issue on Applications of High-Order Statistics, pp.395-401, 1993.
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P. Comon and P. Laurent, Displacement Rank of Generalized Inverses of Persymmetric Matrices, SIAM Journal on Matrix Analysis and Applications, vol.14, issue.3, pp.646-654, 1993.
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P. Comon, MA identification using fourth order cumulants, Signal Processing, vol.26, issue.3, pp.381-388, 1992.
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P. Comon, C. Jutten, and J. Herault, Blind separation of sources, part II: Problems statement, Signal Processing, vol.24, issue.1, pp.11-20, 1991.
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P. Comon and G. H. Golub, Tracking a few extreme singular values and vectors in signal processing, Proceedings of the IEEE, vol.78, issue.8, pp.1327-1343, 1989.
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P. Comon, Y. Robert, and D. Trystram, Systolic implementation of the adaptive solution to normal equations, Computer Vision, Graphics, and Image Processing, vol.52, issue.3, pp.402-408, 1990.
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J. Y. Blanc, P. Comon, and D. Trystram, Using preconditioned conjugate gradient for solving consecutive linear systems, Communications in Applied Numerical Methods, vol.33, issue.3, pp.231-240, 1990.
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P. Comon and D. T. Pham, Estimating the order of a FIR filter for noise cancellation, IEEE Transactions on Information Theory, vol.36, issue.2, pp.429-434, 1990.
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P. Comon and D. T. Pham, An error bound for a noise canceller, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.37, issue.10, pp.1513-1517, 1989.
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P. Comon and L. Kopp, Comments on a real-time high resolution technique for angle of arrival estimation, Proceedings of the IEEE, pp.492-494, 1989.

P. Comon and D. Trystram, An incomplete factorization algorithm for adaptive filtering, Signal Processing, vol.13, issue.4, pp.353-360, 1987.
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P. Comon and Y. Robert, A systolic array for computing B A^-1, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.35, issue.6, pp.717-723, 1987.
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P. Comon and J. L. Lacoume, Noise reduction for an estimated Wiener filter using noise references (Corresp.), IEEE Transactions on Information Theory, vol.32, issue.2, pp.310-313, 1986.
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E. Kazamarande and P. Comon, Stabilit?? num??rique de l'algorithme de Levinson, ESAIM: Mathematical Modelling and Numerical Analysis, vol.29, issue.2, pp.123-170, 1995.
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P. Comon, Circularité et signaux aléatoiresaléatoiresà temps discret, Traitement du Signal, vol.11, issue.5, pp.417-420, 1994.

P. Comon, Classification supervisée par réseaux multicouches, Traitement du Signal, vol.8, issue.6, pp.387-407, 1991.

P. Comon, Performances de la régression linéaire dans le cas gaussien, Traitement du Signal, vol.8, issue.4, pp.281-282, 1991.

P. Comon, Classification bayésienne distribuée, Revue Technique Thomson CSF, vol.22, issue.4, pp.543-561, 1990.

P. Comon, Analyse en Composantes Indépendantes et identification aveugle, Numero special non lineaire et non gaussien, pp.435-450, 1990.

P. Comon, D. Trystram, and Y. Robert, Implementation systolique de systemes adaptatifs, Traitement du Signal, vol.4, issue.4, pp.73-85, 1987.

P. Comon, Estimation multivariable complexe, Traitement du Signal, vol.3, issue.2, pp.97-101, 1986.
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P. Comon and B. Mourrain, Decomposition of quantics in sums of powers of linear forms, Signal Processing, vol.53, issue.2-3, 1995.
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P. Comon and G. Bienvenu, Ultimate performance of QEM classifiers, IEEE Transactions on Neural Networks, vol.7, issue.6, 1995.
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B. Emile and P. Comon, Estimation of time delays between colored sources, IEEE Trans. on Signal Processing, 1995.

B. Emile and P. Comon, Estimation de temps de retard entre signaux colorés Supervised classification with variable kernel estimators, XVieme Colloque Gretsi, Juan les Pins, pp.18-22, 1995.

P. Comon, Supervised classification, a probabilistic approach, ESANN-European Symposium on Artificial Neural Networks, pp.111-128, 1995.

P. Comon and L. Deruaz, Normality tests for coloured samples, IEEE-ATHOS Workshop on Higher-Order Statistics, pp.12-14, 1995.

B. Emile, P. Comon, and J. Le-roux, Estimation of time delays between wide-band sources, IEEE-ATHOS Workshop on Higher- Order Statistics, pp.12-14, 1995.

P. Comon and B. Emile, Estimation of time delays in the blind mixture problem, EUSIPCO 94, pp.482-485, 1994.

P. Comon, J. L. Voz, and M. Verleysen, Estimation of performance bounds in supervised classification, ESANN-European Symposium on Artificial Neural Networks, M. Verleysen, Ed., 45 rue Masui, p.1210

P. Comon and B. Mourrain, Decomposition of quantics in sums of powers, SPIE conference on Advanced Signal Processing V, pp.93-104, 1994.

P. Comon, Tensor diagonalization, a useful tool in signal processing, IFAC-SYSID, 10th IFAC Symposium on System Identification, pp.77-82, 1994.
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P. Comon, Remarques sur la diagonalisation tensorielle par la methode de Jacobi, XIVeme Colloque Gretsi, 13-16 Septembre, pp.125-128, 1993.

P. Comon, G. Bienvenu, and T. Lefebvre, Supervised Design of Optimal Receivers, Acoustic Signal Processing for Ocean Exploration Processing and Ocean Exploration Proceedings of the NATO Advanced Study Institute on Acoustic Signal Processing and Ocean Exploration, pp.547-552, 1992.
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C. Jutten and P. Comon, Neural Bayesian classifier, pp.119-124, 1993.
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P. Comon, Independent component analysis, and the diagonalization of symmetric tensors, European Conference on Circuit Theory and Design ECCTD, H. Dedieu, pp.185-190, 1993.

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P. Comon, Blind identification in presence of noise, Proc. European Signal Processing Conf. EUSIPCO, Brussels, pp.835-838, 1992.

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P. Comon and G. Bienvenu, Detection et estimation supervisees, XVieme Colloque Gretsi, Juan les Pins, pp.16-20, 1991.

J. F. Cardoso and P. Comon, Tensor-based independent component analysis, Proc. European Signal Processing Conf. EUSIPCO, pp.673-676, 1990.

P. Comon, High-order separation, application to detection and localization, Proc. European Signal Processing Conf. EUSIPCO, pp.277-280, 1990.

P. Comon and J. F. Cardoso, Eigenvalue decomposition of a cumulant tensor with applications Separation of stochastic processes, SPIE Conference on Advanced Signal Processing Algorithms Proc. Workshop on Higher-Order Spectral Analysis, pp.361-372, 1989.

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P. Comon, Separation de melanges de signaux, XII Colloque Gretsi, Juan les Pins, pp.12-16, 1989.

P. Comon, Statistical approach to the Jutten-Herault algorithm Republished in: Neurocomputing, Algorithms, Architectures and Applications, F.Fogelman and J. Herault editors, NATO ASI series, NATO Workshop on Neuro-Computing, pp.81-88, 1989.

P. Comon, Fast updating of a low-rank approximate to a varying hermitian matrix, 22nd Asilomar Conference, pp.358-362, 1988.

P. Comon, Fast computation of a restricted subset of eigenpairs of a varying hermitian matrix Republished in: Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, NATO ASI on Num. Linear Algebra , Digital Sig.Proc. and Parallel Algorithms NATO ASI series, pp.457-466, 1988.

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