Linkage Learning, Rule Representation, and the Χ-Ary Extended Compact Classifier System

  • Authors:
  • Xavier Llorà;Kumara Sastry;Cláudio F. Lima;Fernando G. Lobo;David E. Goldberg

  • Affiliations:
  • National Center for Supercomputer Applications, University of Illinois at Urbana-Champaign, USA IL 61801;Illinois Genetic Algorithms Laboratory, University of Illinois at Urbana-Champaign, USA IL 61801;Informatics Laboratory (UALG-ILAB), Dept. of Electronics and Computer Science Engineering, University of Algarve, Faro, Portugal 8000-117;Informatics Laboratory (UALG-ILAB), Dept. of Electronics and Computer Science Engineering, University of Algarve, Faro, Portugal 8000-117;Illinois Genetic Algorithms Laboratory, University of Illinois at Urbana-Champaign, USA IL 61801

  • Venue:
  • Learning Classifier Systems
  • Year:
  • 2008

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Abstract

This paper reviews a competentPittsburgh LCS that automatically minesimportant substructures of the underlying problems and takes problems that were intractablewith first-generation Pittsburgh LCS and renders them tractable. Specifically, we propose a 茂戮驴-ary extended compact classifier system (茂戮驴eCCS) which uses (1) a competent genetic algorithm (GA) in the form of 茂戮驴-ary extended compact genetic algorithm, and (2) a niching method in the form restricted tournament replacement, to evolve a set of maximally accurate and maximally general rules. Besides showing that linkage exist on the multiplexer problem, and that 茂戮驴eCCS scales exponentially with the number of address bits (building block size) and quadratically with the problem size, this paper also explores non-traditional rule encodings. Gene expression encodings, such as the Karva language, can also be used to build 茂戮驴eCCS probabilistic models. However, results show that the traditional ternary encoding 0,1,#presents a better scalability than the gene expression inspired ones for problems requiring binary conditions.