Title
Using Global Optimization to Explore Multiple Solutions of Clustering Problems
Abstract
A classical approach to clustering consists in running an algorithm aimed to minimize the distortion. Apart from very limited and simple cases such problem cannot be solved by a local search algorithm because of multiple local minima. In this paper a Global Optimization (GO) algorithm is used to overcome such difficulty. The proposed algorithm (Controlled Random Search) iterates by maintaining a population of solutions which tends to concentrate around the most "promising" areas. From Data Mining point of view such an approach enables to infer deep information about the underlying structure of data. Collecting and presenting such information in a human understandable manner can help the choice between several possible alternatives. Numerical experiments are carried out on a real dataset, showing that GO produces solutions with much better distortion values than the classical approach, while graphical representation of the whole solution set can be useful to data exploration.
Year
DOI
Venue
2008
10.1007/978-3-540-85567-5_90
KES (3)
Keywords
Field
DocType
multiple local minimum,distortion value,local search algorithm,deep information,data mining point,data exploration,clustering problems,global optimization,proposed algorithm,explore multiple solutions,controlled random search,classical approach,local minima,k means,random search,data mining,data collection
Data mining,Population,Random search,k-means clustering,Mathematical optimization,Global optimization,Computer science,Maxima and minima,Local search (optimization),Cluster analysis,Distortion
Conference
Volume
ISSN
Citations 
5179
0302-9743
5
PageRank 
References 
Authors
0.43
13
5
Name
Order
Citations
PageRank
Ida Bifulco1163.54
Loredana Murino2202.91
Francesco Napolitano3615.16
Giancarlo Raiconi411815.08
Roberto Tagliaferri542855.64