Joint diagonalization of several scatter matrices for ICA.
In: Proceedings (10th international conference on Latent Variable Analysis and Signal Separation). Heidelberg: Springer, 2012. 172-179 (Lecture Notes in Computer Science ; 7191)
Procedures such as FOBI that jointly diagonalize two matrices with the independence property have a long tradition in ICA. These procedures have well-known statistical properties, for example they are prone to failure if the sources have multiple identical values on the diagonal. In this paper we suggest to diagonalize jointly k ≥ 2 scatter matrices having the independence property. For the joint diagonalization we suggest a novel algorithm which finds the correct direction in an deflation based manner, one after another. The method is demonstrated in a small simulation study.