Title :
Entropy based annealing approach to fuzzy c-means clustering and its interpolation
Author_Institution :
Dept. of Electr. & Comput. Eng., Gifu Nat. Coll. of Technol., Motosu, Japan
Abstract :
The deterministic annealing (DA) and simulated annealing (SA) methods are well combined as DASA. By regularizing the fuzzy c-means method with the fuzzy entropy, the Fermi-Dirac distribution function, well known in statistical mechanics, is obtained as a membership function, and, while optimizing its parameters by SA, the minimal of the Helmholtz free energy for fuzzy c-means clustering is searched by DA. Since shapes of membership functions obtained by DASA are very rough, it is important to interpolate them. Thus, interpolation is introduced to DASA and shows its effectiveness by a numerical experiment.
Keywords :
entropy; fuzzy set theory; interpolation; pattern clustering; simulated annealing; statistical mechanics; DASA; Fermi-Dirac distribution function; deterministic annealing method; entropy based annealing approach; fuzzy c-means clustering method; fuzzy entropy; interpolation; membership function; simulated annealing method; statistical mechanics; Annealing; Distribution functions; Entropy; Interpolation; Simulated annealing; Temperature distribution;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-61284-180-9
DOI :
10.1109/FSKD.2011.6019603