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Considering proximity to be undirected, we further symmetrize the proximity matrix to obtain D sym t.
The proximity matrix was used for identifying structure in the data (Breiman 2002).
The proximity matrix F corresponds to F i, j = 1 if traded corporation i and j belong to the same sector, 0 otherwise.
We follow a two stage approach to detect moving sub-groups: We first calculate the proximity matrix D t for consecutive time intervals t of length L=5 s.
Since the leading factors from agglomeration schedule have been combined and formed a cluster with others, researchers have to search proximities from the proximity matrix and compare it with correlation factor to check the significance of their relationship.
As shown in the proximity matrix, this factor has not indicated any sign of proximity with others and also significance but it has some positive and negative correlations which makes it a very important factor for the success of small and medium enterprises.
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Hierarchical agglomerative cluster analysis utilized Ward's method with Squared Euclidean Distances in the proximities matrix [ 45].
If the MRF has N trees, then the element [a, b] of the MRF proximity matrix is obtained using the formula ∑ g = 1 N [ a,b ] g / N, where [a, b]g is the value for the gth regression tree.
A linear model taking into account the genomic distance between two loci, as well as their relative distance from the centromere, accounted for 79% of the variation (Extended Data Fig. 4b) in the intrachromosomal proximity matrix at 1 Mb resolution.
Principal component analysis of the intrachromosomal proximity matrix showed that the first three principal components cumulatively explained ~70% of the variation and differentiated (1) distal from proximal regions, (2) interstitial from both distal and proximal regions and (3) the long arms from the short arms (Fig. 2f and Extended Data Fig. 4a).
While the MRF proximity matrix (Proxmatrix) measures the similarity between mRNAs, 1 - Proxmatrix, where 1 denotes a Y×Y matrix with every element equal to 1, measures the dissimilarity between mRNAs.
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