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  Implicit niching in a learning classifier system: Nature's way (1994) [49 citations — 7 self]

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by Jeffrey Horn, Jeffrey Horn, David E. Goldberg, David E. Goldberg, Kalyanmoy Deb, Kalyanmoy Deb
Evolutionary Computation
ftp://ftp.cs.bham.ac.uk/pub/authors/T.Kovacs/lcs.archive/Horn1994a.ps.gz
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Abstract:

We approach the difficult task of analyzing the complex behavior of even the simplest learning classifier system (LCS) by isolating one crucial subfunction in the LCS learning algorithm: covering through niching. The LCS must maintain a population of diverse rules that together solve a problem (e.g., classify examples). To maintain a diverse population while applying the GA's selection operator, the LCS must incorporate some kind of niching mechanism. The natural way to accomplish niching in an LCS is to force competing rules to share resources (i.e., rewards). This implicit LCS fitness sharing is similar to the explicit fitness sharing used in many niched GAs. Indeed, the LCS implicit sharing algorithm can be mapped onto explicit fitness sharing with a one-to-one correspondence between algorithm components. This mapping is important because several studies of explicit fitness sharing, and of niching in GAs generally, have produced key insights and analytical tools for understanding the interaction of the niching and selection forces. We can now bring those results to bear in understanding the fundamental

Citations

1827 Adaptation in nature and artificial system – Holland - 1992
1364 A theory of the learnable – Valiant - 1984
1082 Genetic algorithms in search optimization and machine learning – Goldberg - 1989
654 An analysis of the behavior of a class of genetic adaptive systems – Jong - 1975
524 Adaptation in Natural and Artificial Systems, Ann Arbor – Holland - 1975
387 Genetic Algorithms with Sharing for Multimodal Function Optimization – Goldberg, Richardson - 1987
233 An Investigation of Niche and Species Formation in Genetic Function Optimization – Deb, Goldberg - 1989
178 Computational limitations on learning from examples – Pitt, Valiant - 1988
157 Modeling genetic algorithms with Markov chains – Nix, Vose - 1992
142 Genetic Algorithms – Holland - 1992
121 Selection in massively parallel genetic algorithms – Collins, Jefferson - 1991
100 Multiobjective optimization using the niched pareto genetic algorithm – Horn, Nafpliotis - 1993
91 Massive multimodality, deception, and genetic algorithms (IlliGAL – Goldberg, Deb, et al. - 1992
91 Finite Markov chain analysis of genetic algorithms – Goldberg, Segrest - 1987
75 A naturally occuring niche & species phenomenon: The model and first results – Davidor - 1991
74 Intelligent behavior as an adaptation to the task environment – Booker - 1982
69 Crowding and preselection revisited – Mahfoud - 1992
62 Genetic and Evolutionary Algorithms come of age – Goldberg - 1994
57 Classifier systems and the animat problem – Wilson - 1987
48 Computer-aided gas pipeline operation using genetic algorithms and rule learning – Goldberg - 1983
48 A note on Boltzmann tournament selection for genetic algorithms and population-oriented simulated annealing – Goldberg - 1990
41 Tournament Selection, Niching, and the Preservation of Diversity – Oei, Goldberg - 1991
40 A Critical Review of Classifier Systems – Wilson, Goldberg - 1989
39 A Markov chain framework for the simple genetic algorithm – Davis, Principe - 1993
31 Making genetic algorithms fly: A lesson from the Wright Brothers. Advanced Technology for Developers – Goldberg - 1993
29 Finite markov chain analysis of genetic algorithms with niching – Horn - 1993
23 On quasi-stationary distributions in absorbing continuous-time finite Markov chains – Darroch, Seneta - 1967
20 Simple analytical models of genetic algorithms for multimodal function optimization – Mahfoud - 1993
13 Processing and Processors for Schemata – Holland - 1971
10 What makes a problem hard for a Classifier System – Goldberg, Horn - 1992
9 A study of rule set development in a learning classifier system – Smith - 1989
8 A simulated annealing-like convergence theory for the simple genetic algorithm – Davis, Principe - 1991
7 An analysis of Boltzmann tournament selection – Mahfoud - 1991
6 Searching for diverse, cooperative subpopulations with genetic algorithms – Smith, Forrest - 1993