Title :
New Riemannian metrics for improvement of convergence speed in ICA based learning algorithms
Author :
Squartini, Stefano ; Piazza, Francesco ; Shawker, Ali
Author_Institution :
Dipt. di Elettronica, Intelligenza Artificiale e Telecomunicazioni, Univ. Politeenica delle Marche, Ancona, Italy
Abstract :
Three different Riemannian metrics are defined in the matrix space, according to various translations defined in the parameter space. Such metrics allowed the authors to derive correspondingly novel learning rules for two ICA based algorithms in blind source separation (BSS). Experimental results in several case studies have shown that a significant improvement of convergence speed can be achieved by employing such a new approach in comparison to the one, based on right and left translations, which has appeared in the literature so far.
Keywords :
blind source separation; convergence of numerical methods; gradient methods; independent component analysis; learning (artificial intelligence); matrix algebra; ICA; Riemannian metrics; blind source separation; convergence speed; learning algorithms; matrix space; natural gradient learning rules; parameter space; Artificial intelligence; Blind source separation; Convergence; Cost function; Independent component analysis; Mathematics; Source separation; Statistics; Telecommunications; Tensile stress;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465409