Realization of feature description systems for clusters by rule generation based on genetic programming and its applications

SUMMARY This paper deals with the realization of feature description systems for clusters by rule generation based on genetic programming (GP) and its applications. First, the data are divided into several clusters by using conventional clustering algorithms. Then logical variables corresponding to the categorical variables are introduced, and the logical expressions using these logical variables are defined as rules to extract the targeted cluster from the dataset. The rules are improved by GP so that they are valid (become true) only for the targeted cluster. Unlike ordinary GP procedures, the fitness of individuals is defined as proportional to the number of hits inside the targeted cluster, but also to the inverse of the number of hits outside the targeted cluster. In simulation studies, the system is applied first to artificially generated samples and clusters to examine the performance of the system, and then to personal loan assessment problems, after which the evaluation of several kinds of clustering problems is summarized. © 2007 Wiley Periodicals, Inc. Electron Comm Jpn Pt 2, 90(9): 87–97, 2007; Published online in Wiley InterScience (www. interscience.wiley.com). DOI 10.1002/ecjb.20380

[1]  Martin C. Martin,et al.  Genetic programming in C++: implementation issues , 1994 .

[2]  Y. Ikeda Estimation of the Chaotic Ordinary Differential Equations by Co-evolutional Genetic Programming , 2002 .

[3]  Jude W. Shavlik,et al.  in Advances in Neural Information Processing , 1996 .

[4]  Tokinaga Shozo,et al.  Realization of Feature Descriptive Systems for Clusters by Using Rule Generations Based on the Genetic Programming and Its Applications , 2006 .

[5]  Bart Baesens,et al.  Using Neural Network Rule Extraction and Decision Tables for Credit - Risk Evaluation , 2003, Manag. Sci..

[6]  Xiaorong Chen,et al.  Approximation of Chaotic Dynamics for Input Pricing at Service Facilities Based on the GP and the Control of Chaos , 2002, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[7]  J. K. Kinnear,et al.  Advances in Genetic Programming , 1994 .

[8]  Yoshikazu Ikeda,et al.  Approximation of Chaotic Dynamics by Using Smaller Number of Data Based upon the Genetic Programming and Its Applications , 2000 .

[9]  Peter Lehmann,et al.  Data Mining with Microsoft SQL Server 2005 , 2007 .

[10]  Yoshikazu Ikeda,et al.  Explanatory rule extraction based on the trained neural network and the genetic programming , 2006 .

[11]  Kwong-Sak Leung,et al.  Data Mining Using Grammar Based Genetic Programming and Applications , 2000 .

[12]  Dr. Alex A. Freitas Data Mining and Knowledge Discovery with Evolutionary Algorithms , 2002, Natural Computing Series.

[13]  X. Chen Synthesis of multi-agent systems based on the co-evolutionary genetic Programming and its applications to the analysis of artificial markets , 2003 .

[14]  Shozo Tokinaga,et al.  Applying the genetic programming to modeling of diffusion processes by using the CNN and its applications to the synchronization , 2003 .

[15]  Yoshikazu Ikeda,et al.  Neural Network Rule Extraction by Using the Genetic Programming and Its Applications to Explanatory Classifications , 2005, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[16]  Claude Seidman,et al.  Data Mining with Microsoft SQL Server 2000 Technical Reference , 2001 .

[17]  Michael I. Jordan,et al.  Advances in Neural Information Processing Systems 30 , 1995 .

[18]  Yoshikazu Ikeda,et al.  Controlling the chaotic dynamics by using approximated system equations obtained by the genetic programming , 2001 .

[19]  Wen-Hsien Fang,et al.  Decision Aided Hybrid MMSE/SIC Multiuser Detection: Structure and AME Performance Analysis , 2006, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[20]  Una-May O'Reilly,et al.  Genetic Programming II: Automatic Discovery of Reusable Programs. , 1994, Artificial Life.

[21]  Yoshikazu Ikeda,et al.  Chaoticity and Fractality Analysis of an Artificial Stock Market Generated by the Multi-Agent Systems Based on the Co-evolutionary Genetic Programming , 2004 .

[22]  Petra Perner,et al.  Data Mining - Concepts and Techniques , 2002, Künstliche Intell..

[23]  Vidroha Debroy,et al.  Genetic Programming , 1998, Lecture Notes in Computer Science.