Abstract
In XCS classifier fitness is based on the relative accuracy of the classifier prediction [3]. A classifier is more fit if its prediction of the expected payoff is more accurate than the prediction given by the other classifiers that are applied in the same situations. The use of relative accuracy has two major implications. First, because the evaluation of fitness is based on the relevance that classifiers have in some situations, classifiers that are the only ones applying in a certain situation have a high fitness, even if they are inaccurate. As a consequence, inaccurate classifiers might be able to reproduce so to cause reduced performance; as already noted by Wilson (personal communication reported in [1]). In addition, because the computation of classifier fitness is based both (i) on the classifier accuracy and (ii) on the classifier relevance in situations in which it applies, in XCS, classifier fitness does not provide information about the problem solution, but rather an indication of the classifier relevance in the encountered situations. Accordingly, it is not generally possible to tell whether a classifier with a high fitness is accurate or not, just looking at the fitness. To have this kind of information, we need the prediction error ε which provides an indication of the raw classifier accuracy.
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References
Pier Luca Lanzi. An Analysis of Generalization in the XCS Classifier System. Evolutionary Computation, 7(2):125–149, 1999.
Pier Luca Lanzi. A comparison of relative accuracy and raw accuracy in XCS. Technical Report 2003.14, Dipartimento di Elettronica e Informazione. Politecnico di Milano., March 2003.
Stewart W. Wilson. Classifier Fitness Based on Accuracy. Evolutionary Computation, 3(2):149–175, 1995. http://prediction-dynamics.com/.
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Lanzi, P.L. (2003). Using Raw Accuracy to Estimate Classifier Fitness in XCS. In: Cantú-Paz, E., et al. Genetic and Evolutionary Computation — GECCO 2003. GECCO 2003. Lecture Notes in Computer Science, vol 2724. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45110-2_90
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DOI: https://doi.org/10.1007/3-540-45110-2_90
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