Improved Differential Evolution on Optimizing 2-Level Ant Clustering Using of Variation

Ant based Clustering (ANT) is a very powerful tool for automatic detection of relevant clusters. The extended version of ANT, two-level Ant based Clustering (2LANT) was introduced for improving ANT clustering in explorative manner. However, structural methods for efficiently confirming the competent optimization of 2LANT initialization are lacking. Due to the important advantages over other optimization algorithms belonging to differential evolution (DE) approach, this paper investigates the utilization of the original DE as well as the variations, here called VarDE1 and VarDE2 as tools for optimizing the initial cluster weights of 2LANT. Such investigated approaches are respectively so called DE+2LANT, VarDE1+2LANT and VarDE2+2LANT. With respect to the different choices of mutation process, both variant DEs would get better accuracy than the original one. More elitism on mutation process is involved with VarDE2+2LANT rather than with VarDE1+2LANT; whilst the most random mutation is applied by DE+2LANT. 10fold cross validation experiments are taken on real-world and artificial data sets with an identified number of clusters. Within the scope of this paper, the investigation results point out the better clustering performance of the variant DEs, VarDE2+2LANT over the related approaches. 

[1]  Catherine Blake,et al.  UCI Repository of machine learning databases , 1998 .

[2]  Baldo Faieta,et al.  Diversity and adaptation in populations of clustering ants , 1994 .

[3]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[4]  Yancheng He,et al.  A Two-layer Text Clustering Approach for Retrospective News Event Detection , 2010, 2010 International Conference on Artificial Intelligence and Computational Intelligence.

[5]  Thomas Stützle,et al.  The Ant Colony Optimization Metaheuristic: Algorithms, Applications, and Advances , 2003 .

[6]  R. Steele Optimization , 2005 .

[7]  Marco Dorigo,et al.  Ant algorithms and stigmergy , 2000, Future Gener. Comput. Syst..

[8]  Chang-Yong Lee,et al.  Entropy-Boltzmann selection in the genetic algorithms , 2003, IEEE Trans. Syst. Man Cybern. Part B.

[9]  Marco Dorigo,et al.  Swarm intelligence: from natural to artificial systems , 1999 .

[10]  Zhang Ying,et al.  A modified differential evolution algorithm with self-adaptive control parameters , 2008, 2008 3rd International Conference on Intelligent System and Knowledge Engineering.

[11]  Rainer Storn,et al.  Differential Evolution-A simple evolution strategy for fast optimization , 1997 .

[12]  R. Storn,et al.  Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces , 2004 .

[13]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[14]  Gerardo Beni,et al.  A Validity Measure for Fuzzy Clustering , 1991, IEEE Trans. Pattern Anal. Mach. Intell..