%0 Journal Article
%T Designing various component analysis at will
%A Akisato Kimura
%A Masashi Sugiyama
%A Sakano Hitoshi
%A Hirokazu Kameoka
%J Computer Science
%D 2012
%I arXiv
%X This paper provides a generic framework of component analysis (CA) methods introducing a new expression for scatter matrices and Gram matrices, called Generalized Pairwise Expression (GPE). This expression is quite compact but highly powerful: The framework includes not only (1) the standard CA methods but also (2) several regularization techniques, (3) weighted extensions, (4) some clustering methods, and (5) their semi-supervised extensions. This paper also presents quite a simple methodology for designing a desired CA method from the proposed framework: Adopting the known GPEs as templates, and generating a new method by combining these templates appropriately.
%U http://arxiv.org/abs/1207.3554v2