In the MAT model, attention is calculated by summing the inner product between the atom attributes, adjacency matrix, and distance matrix. According to Eq. (1), if the inner product between two atoms is large and these two atoms are far away from each other, information is exchanged between...
Consequently, this study employs linguistic variables to evaluate the relationship matrix, which can display positive and negative relationships simultaneously via the arrangement of the linguistic scale. The correlation between solution schemes can be modeled indirectly in the relationship matrix; hence, ...
Euclidean distance matrix A symmetric matrix, in which each element is computed by estimating the Euclidean distance between the centre coordinates of two brain regions. Network diffusion models (NDMs). Computational models simulating Alzheimer disease progression on brain networks using a network heat eq...
These correlations are, approximately, the summary statistics that are modeled in the variance component analyses. Table 1 Total number of pairs and average of sampled pairs for relationship k Full size table Mixed linear model implementing a numerator relationship matrix based on pedigree information ...
molecular electron correlationsmolecular orbitals calculations/ unitary group generatorspermutationsgeminally antisymmetricN-electron configurationsorbital occupanciesspin factorsThe explicit expressions for the matrix elements of unitary group generators between geminally antisymmetric spin-adapted N -electron ...
On the Relationship Between Squared Canonical Correlation and Matrix NormIn research on approximating factor analysis (FA) by principal component analysis (PCA), FA loadings and PCA loadings are typically compared using some measure of closeness or distance. Previous studies have used the average ...
2.3.2.6 Correlation of values It is possible to examine the correlation between each pair of numerical variables in a dataset using a correlation matrix. It provides a brief summary of the entire dataset. It is more frequently used for exploratory than explanatory purposes. Correlation...
Table 4 presents the correlation matrix. The correlations between LN_SPREAD and COLLAT and the proxies for relationship loans are negative, a finding in line with banking relationships leading to better terms in bank loans. Meanwhile, the correlation of LN_MAT with the measures of relationship loa...
a R2 obtained using SafeGraph’s completely at home metric in place of the first principle component of Google’s mobility trends dataset. Median (solid lines) and 95% quantiles (shaded) are shown. b Rolling median 3-month correlation between SafeGraph’s completely at home mobility metric and...
Suppose there is a correlation between the volume of the central compartment (Central) and the weight of infants. You can define this parameter-covariate relationship using a covariate model that can be described as log(Vi)=θV+θV/WEIGHT∗WEIGHTi+ηV,i, where, for each ith infant, V...