TY - JOUR
T1 - Additive Spectral Method for Fuzzy Cluster Analysis of Similarity Data Including Community Structure and Affinity Matrices
AU - Almeida, Susana Maria dos Santos Nascimento M. de
PY - 2012/1/1
Y1 - 2012/1/1
N2 - An additive spectral method for fuzzy clustering is proposed. The method operates on a clustering model which is an extension of the spectral decomposition of a square matrix. The computation proceeds by extracting clusters one by one, which makes the spectral approach quite natural. The iterative extraction of clusters, also, allows us to draw several stopping rules to the procedure. This applies to several relational data types differently normalized: network structure data (the first eigenvector subtracted), affinity between multidimensional vectors (the pseudo-inverse Laplacian transformation), and conventional relational data including in-house data of similarity between research topics according to working of a research center. The method is experimentally compared with several classic and recent techniques and shown to be competitive.
AB - An additive spectral method for fuzzy clustering is proposed. The method operates on a clustering model which is an extension of the spectral decomposition of a square matrix. The computation proceeds by extracting clusters one by one, which makes the spectral approach quite natural. The iterative extraction of clusters, also, allows us to draw several stopping rules to the procedure. This applies to several relational data types differently normalized: network structure data (the first eigenvector subtracted), affinity between multidimensional vectors (the pseudo-inverse Laplacian transformation), and conventional relational data including in-house data of similarity between research topics according to working of a research center. The method is experimentally compared with several classic and recent techniques and shown to be competitive.
KW - Lapin transformation
KW - One-by-one clustering
KW - Spectral fuzzy clustering
KW - Community structure
KW - Additive fuzzy clustering
KW - Research activity structure
U2 - 10.1016/j.ins.2011.09.009
DO - 10.1016/j.ins.2011.09.009
M3 - Article
VL - 183
SP - 16
EP - 34
JO - Information Sciences
JF - Information Sciences
SN - 0020-0255
IS - 1
ER -