Figures from: Turk & Pentland, “Eigenfaces for Recognition.” Journal of Cognitive Neuroscience 3 :1, 1991. Chan & Mozurkewich, “Simplified representation of atmospheric aerosol size distributions using absolute principal components analysis.” Atmospheric Chemistry and Physics 7 , 875–886, 2007.
20 signal components 15 1/2 mixed components ( Σ Unused Eigenvalues) noise components 10 5 0 0 5 10 15 20 25 30 Number of Components Retained 5
20 20 signal components 15 1/2 15 mixed components 1/2 ( Σ Unused Eigenvalues) ( Σ Unused Eigenvalues) noise components 10 10 5 5 0 0 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Number of Components Retained Number Components Retained 30 5
Number of Components Retained 20 5 20 signal components 4 15 1/2 15 1/2 mixed components 1/2 ( Σ Unused Eigenvalues) ( Σ Unused Eigenvalues) ( Σ Unused Eigenvalues) noise components 3 10 10 2 5 5 1 0 0 0 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Number of Components Retained Number of Components Retained Number Components Retained 8 30 5
Number of Components Retained Number Components Retained 20 5 30 20 25 signal components 4 15 1/2 15 1/2 mixed components 1/2 1/2 ( Σ Unused Eigenvalues) ( Σ Unused Eigenvalues) ( Σ Unused Eigenvalues) ( Σ Unused Eigenvalues) noise components 20 3 10 10 15 2 10 5 5 1 5 0 0 0 0 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 35 Number of Components Retained Number of Component Retained Number of Components Retained Number Components Retained 8 30 5
Number of Components Retained Number Components Retained 20 8 5 30 20 25 signal components 4 15 6 1/2 1/2 15 1/2 mixed components 1/2 1/2 ( Σ Unused Eigenvalues) ( Σ Unused Eigenvalues) ( Σ Unused Eigenvalues) ( Σ Unused Eigenvalues) ( Σ Unused Eigenvalues) noise components 20 3 4 10 10 15 2 10 2 5 5 1 5 0 0 0 0 0 0 0 5 5 10 10 15 15 20 20 25 25 30 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 35 Number of Components Retained Number of Component Retained Number of Components Retained Number of Components Retained Number Components Retained 8 30 5
4 3 2 1 0 2 3 4 5 6 2 3 4 5 6 10 100 Diameter (nm)
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