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Learning independent components on the orthogonal group of matrices by retractions
Authors:Simone Fiori
Affiliation:(1) Dipartimento di Elettronica, Intelligenza Artificiale e Telecomunicazioni (DEIT), Università Politecnica delle Marche, Via Brecce Bianche, 60131 Ancona, Italy
Abstract:Neural independent component learning algorithms based on optimization on manifolds have attracted interest in the neural network community. In the past years, we have developed learning algorithms specialized for the orthogonal group of matrices as parameters manifold. Here, we sketch a view of these algorithms by the help of ‘retractions’ on manifolds.
Keywords:Independent component analysis  Neural learning theory  Orthogonal group of matrices  Retractions on manifolds
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