Neural Processing Letters

, Volume 13, Issue 3, pp 195-201

First online:

Sequential Extraction of Minor Components

  • Tianping ChenAffiliated withDepartment of Mathematics, Fudan University
  • , Shun-Ichi AmariAffiliated withRIKEN Brain Science Institute
  • , Noboru MurataAffiliated withRIKEN Brain Science Institute

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Principal component analysis (PCA) and Minor component analysis (MCA) are similar but have different dynamical performances. Unexpectedly, a sequential extraction algorithm for MCA proposed by Luo and Unbehauen [11] does not work for MCA, while it works for PCA. We propose a different sequential-addition algorithm which works for MCA. We also show a conversion mechanism by which any PCA algorithms are converted to dynamically equivalent MCA algorithms and vice versa.

minor component sequential algorithm