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Conditions for non-negative independent component analysis

by: M Plumbley
(2002)


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We consider the noiseless linear independent component analysis problem, in the case where the hidden sources s are non-negative. We assume that the random variables s i s are well-grounded in that they have a non-vanishing pdf in the (positive) neighbourhood of zero. For an orthonormal rotation y = Wx of pre-whitened observations x = QAs, under certain reasonable conditions we show that y is a permutation of the s (apart from a scaling factor) if and only if y is non-negative with...


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