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Term (7) represents the cross-correlation of projections between experimental and pre-determined module B, which is also invariant.
Term (6) represents the cross-correlation of projections between experimental module A and pre-determined module B, which is invariant during optimizing.
As the result, the target CCC defined in term (21) can reach the maxima only if the cross-correlation of projections between experimental and simulated module A defined in term (25) reaches the maxima.
To assess the relationship between laminar projection patterns and structural factors, we used this set of 133 classified projections to calculate rank correlations of projection direction with Δtype as well as Δlevel.
Given the non-significant correlation of relative projection frequencies with |Δlevel| (see " Results"), we did not include |Δlevel| into the LDA.
The two sets of variables can be associated with a pair of linear transforms (projectors) such that the correlation between the projections of the variables in lower dimensional space through these linear transforms are mutually maximized.
To evaluate the impact of technologies on each other the following scale is used: 2. Strict correlation between projections; 1 Projections suit well to each other; 0 Neutral correlation between projections; −1 Minor incompatibility between projections; −2 Projections are incompatible.
In CCA, and denote the two basis vectors, such that the correlation between the projections of the variables – columns in X and Y – onto these basis vectors given by and are mutually maximized:.
10.7554/eLife.10032.014 Figure 5. Correlation between projection-specific populations of dopamine neurons.
We observed an unexpected correlation between structural type and the total number of projections studied for a cortical area (comprising projections found to be absent as well as projections found to be present) (ρ = −0.40, p < 0.01).
This score indicates the importance of each gene in determining the correlation with projection targets.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com