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On the design of an ECOC-Compliant Genetic Algorithm
Affiliation:1. Applied Math and Analisis Dept, University of Barcelona, Gran Via de les Corts Catalanes. 585, 08007 Barcelona, Spain;2. Computer Vision Center, Campus UAB, Edifici O, 08193 Bellaterra, Spain;3. Computer Science, Multimedia, and Telecommunications Dept, Universitat Oberta de Catalunya, Rambla del Poblenou 156, 08018 Barcelona, Spain;1. State Key Laboratory of Software Development Environment, Beihang University, Beijing 100191, China;2. Department of Electrical Engineering, Columbia University, New York, NY 10027, USA;3. Facebook, 1601 Willow Rd, Menlo Park, CA 94025, USA;1. Department of Industrial and Management Engineering, POSTECH, 790-784 Pohang, Kyungbuk, South Korea;2. Department of Industrial Engineering, Seoul National University, 151-744 Seoul, Republic of Korea
Abstract:Genetic Algorithms (GA) have been previously applied to Error-Correcting Output Codes (ECOC) in state-of-the-art works in order to find a suitable coding matrix. Nevertheless, none of the presented techniques directly take into account the properties of the ECOC matrix. As a result the considered search space is unnecessarily large. In this paper, a novel Genetic strategy to optimize the ECOC coding step is presented. This novel strategy redefines the usual crossover and mutation operators in order to take into account the theoretical properties of the ECOC framework. Thus, it reduces the search space and lets the algorithm to converge faster. In addition, a novel operator that is able to enlarge the code in a smart way is introduced. The novel methodology is tested on several UCI datasets and four challenging computer vision problems. Furthermore, the analysis of the results done in terms of performance, code length and number of Support Vectors shows that the optimization process is able to find very efficient codes, in terms of the trade-off between classification performance and the number of classifiers. Finally, classification performance per dichotomizer results shows that the novel proposal is able to obtain similar or even better results while defining a more compact number of dichotomies and SVs compared to state-of-the-art approaches.
Keywords:ECOC  Genetic Algorithms  Multi-class classification
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