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It finds the sets of projection directions for different poses such that the projected images of the same subject in different poses are maximally correlated in the latent space.
While LDA seeks the optimal projection directions that maximize the ratio of between-class scatter and within-class scatter.
Here, D is a set of evenly distributed projection directions and can be generated by SPIDER command VO NEA.
The essence of the PCA is to find the optimal projection directions that maximally preserve the data variance.
This is caused by the fact that the number of available projection directions is lower than the class number.
As reviewed in Section 2.2,, the number of available projection directions, is lower than the class number :.
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In total, 50,000 density maps were generated in this way and each map was projected once with the projection direction randomly selected.
OC is a projection direction (φi, θi) near OB.
Hence, a more reasonable classification plane and projection direction were achieved.
In Fig. 2B, OB is the preliminary projection direction (φ0, θ0).
LDA calculates the optimal projection direction maximizing Fisher's criterion (12).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com