2006 Sixth International Conference on Hybrid Intelligent Systems (HIS'06) 2006
DOI: 10.1109/his.2006.264917
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Learning Generalized Weighted Relevance Aggregation Operators Using Levenberg-Marquardt Method

Abstract: We previously introduced the generalized Weighted Relevance Aggregation Operators (WRAO) for hierarchical fuzzy signatures. WRAO enhances the ability of the fuzzy signature model to adapt to different applications and simplifies the learning of fuzzy signature models from data. In this paper we overcome the practical issues which occur when learning WRAO from data. This paper discuss an algorithm for learning WRAO using the LevenbergMarquardt (LM) method, which is one of the most sophisticated and widely used … Show more

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Cited by 13 publications
(12 citation statements)
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“…However, the choice of the membership function, the aggregation function, and the number of fuzzy sets are critical for getting accurate results. In this study, we adopted the HFS construction approach based on the Levenberg-Marquardt method ( [23]). The fuzzy signature was constructed using the 16 means of each subject's GMM model mentioned earlier as the branches.…”
Section: Hierarchical Fuzzy Signaturementioning
confidence: 99%
“…However, the choice of the membership function, the aggregation function, and the number of fuzzy sets are critical for getting accurate results. In this study, we adopted the HFS construction approach based on the Levenberg-Marquardt method ( [23]). The fuzzy signature was constructed using the 16 means of each subject's GMM model mentioned earlier as the branches.…”
Section: Hierarchical Fuzzy Signaturementioning
confidence: 99%
“…The two equations (10) and (11) above, together with the chain rule for derivation have been used to calculate the Jacobian, which is used to approximate the Hessian matrix of the LM learning. A detailed discussion of the method of using LM for learning WRAO can be found in [22].…”
Section: A Methods Of Extracting Wrao From Datamentioning
confidence: 99%
“…We learnt the WRAOs for each node in the High Salary Selection fuzzy signature structure in figure 6 automatically [22]. Figures 7 and 8 show training and test results of the experiment.…”
Section: W111mentioning
confidence: 99%
“…We use our LM based method for learning [27,28] of both weights and the parameter p in GOWA operators. First, to avoid the 2 constraints on the weights w i in Definition 3, we replaced it by the following function [10],…”
Section: Aggregation and Weights Learning Of Gowamentioning
confidence: 99%