getTopologicalSimilarity(W,g,m)
call:
T = getTopologicalSimilarity(W,g,m)
Compute the Topological Similarity matrix T from the structural network
defined by matrix W. T quantifies how similar are the whole-network influence
received by two distinct nodes through all paths of every length. It is imple-
mented as a quantification of the similarity between all pairs of column vectors of
the communicability matrix Qexp, and as such can be computed using any n-dimen-
sional measure of similarity. The present code allows you to choose to compute
the topological similarity matrix T using either the (1) cosine similarity,
(2) Pearson correlation coefficient or (3) Euclidean distance. Choose the prefer-
red method having in mind their differences, characteristics and limitations.
NOTE: the code calls 'getEucliDist.m'
INPUT
W : n-by-n matrix (cab be weighted, unweighted, directed or undirected)
g : global coupling factor (default is 1)
m : compute T either using:
m = 1, cosine similarity (default)
m = 2, Pearson Ccrrelation coefficient
m = 3, Euclidean distance
OUTPUT
T : Topological Similarity matrix (n-by-n)
Reference:
- Bettinardi, R.G., Deco, G., Karlaftis, V.M., Van Hartevelt, T.J., Fernandes, H.M., Kourtzi, Z., Kringelbach, M.L. & Zamora-López, G.
(2017). “How structure sculpts function: Unveiling the contribution of anatomical connectivity to the brain's spontaneous
correlation structure.” Special Issue: On the relation of dynamics and structure in brain networks. Chaos: An
Interdisciplinary Journal of Nonlinear Science, 27(4), 047409. DOI: http://dx.doi.org/10.1063/1.4980099
引用格式
Ruggero G. Bettinardi (2024). getTopologicalSimilarity(W,g,m) (https://www.mathworks.com/matlabcentral/fileexchange/62988-gettopologicalsimilarity-w-g-m), MATLAB Central File Exchange. 检索来源 .
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