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We confirmed that aDN1 projects more dorsally than aDN2 by examining their relative projections within the aDN-LexA pattern.
First, the weights of experts are determined by the relative projections of individual preference relations on the initial collective one.
The consensus and proximity measures are calculated by using the relative projections of experts' preference relations respectively.
These measures are calculated by using the relative projections of individual preference relations on the collective one, which are obtained by extending the relative projection of vectors.
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The properties of the Bregman projection and the relative projection operators were studied in [16] and [20].
We also computed Spearman's ρ to assess relations between relative projection frequencies and the respective anatomical variables.
Given the non-significant correlation of relative projection frequencies with |Δlevel| (see " Results"), we did not include |Δlevel| into the LDA.
Relative projection frequencies were, thus, calculated as the number of present projections with a specific value for a given anatomical variable, divided by the total number of examined projections (i.e. absent plus present projections) with that specific value.
Relative projection frequencies (i.e., relative proportions of present connections) were maximally negatively correlated with both Δdist (ρ = −1.00, p < 0.01, Fig. 4a) and |Δtype| (ρ = −1.00, p < 0.05, Fig. 4b).
Relative projection frequencies were calculated separately for each value of each anatomical variable by considering all connections between pairs of areas at a particular distance, type difference or hierarchical level difference and assessing how many of them were indeed connected (e.g., determining the frequency of connections among all areas separated by 5 borders).
Accordingly, we labelled this latter behaviour relative self projection, whereas the projection to past, now or future points was labelled absolute self projection (Figure 1A).
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