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Generalized Nonlinear Classification Model Based on Cross-Oriented Choquet Integral
IAPR International Conference on Machine Learning and Data Mining in Pattern Recognition, 2012A generalized nonlinear classification model based on cross-oriented Choquet integrals is presented. A couple of Choquet integrals are used in this model to achieve the classification boundaries which can classify data in such situation as one class surrounding another one in a high dimensional space. The values of unknown parameters in the generalized
Rong Yang, Zhenyuan Wang
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Pseudo gradient search for solving nonlinear multiregression based on the Choquet integral
2009 IEEE International Conference on Granular Computing, 2009In some real optimization problems, the objective function may not be differentiable with respect to the unknown parameters at some points such that the gradient does not exist at those points. Replacing the classical gradient, this paper tries to use pseudo gradient search for solving a nonlinear optimization problem—nonlinear multiregression based on
Bo Guo, Wei Chen, Zhenyuan Wang
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Choquet integral representations of nonlinear filters with applications to ladar image processing
SPIE Proceedings, 1998The paper describes the application of Choquet integral filters to automatic object detection in laser radar (LADAR) imagery. Choquet integrals are nonlinear integrals with respect to non-additive measures. These integrals can be used to represent typical nonlinear filters such as order statistic filters, linear combination of order statistic filters ...
Ali K. Hocaoglu, Paul D. Gader
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2010 IEEE International Conference on Granular Computing, 2010
A detailed discussion on contributions from feature attributes to the classifying attribute in the nonlinear classification model based on the Choquet integral is given in this paper. The work provides a new understanding to the geometric structure of the model with contribution rates from the feature attributes towards the classification, as well as ...
Jing Chu, Zhenyuan Wang, Yong Shi
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A detailed discussion on contributions from feature attributes to the classifying attribute in the nonlinear classification model based on the Choquet integral is given in this paper. The work provides a new understanding to the geometric structure of the model with contribution rates from the feature attributes towards the classification, as well as ...
Jing Chu, Zhenyuan Wang, Yong Shi
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A Nonlinear Multiregression Model Based on the Choquet Integral with a Quadratic Core
2010 IEEE International Conference on Granular Computing, 2010Signed efficiency measures with relevant nonlinear integrals can be used to treat data that have strong interaction among contributions from various attributes towards a certain objective attribute. The Choquet integral is the most common nonlinear integral.
Nian Yan +3 more
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A Nonlinear Multiregression Model Based on the Choquet Integral for Analyzing the Course Records
2012The score of the final examination of a student has some relation to the previous records, such as the average score of quizzes, the scores of tests, the number of incomplete homework, and the number of absent class meetings. The relation is usually nonlinear since there are some interactions among the inherent but covert contributions from these ...
Zhenyuan Wang +3 more
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2010 International Conference on Computer Application and System Modeling (ICCASM 2010), 2010
Multiregression is one of the most common approaches used in data mining. The crux of using a nonlinear multiregression model is how to effectively determine the unknown parameters. In this paper, PSO(Particle Swarm Optimization) is used to solve nonlinear multiregression based on generalized Choquet integrals.
null Tao Xiao +2 more
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Multiregression is one of the most common approaches used in data mining. The crux of using a nonlinear multiregression model is how to effectively determine the unknown parameters. In this paper, PSO(Particle Swarm Optimization) is used to solve nonlinear multiregression based on generalized Choquet integrals.
null Tao Xiao +2 more
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Nonlinear regression model based on Choquet integral with ε -Measure
2007 IEEE International Conference on Industrial Engineering and Engineering Management, 2007H.-C. Liu +3 more
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Fault Diagnosis of ERT System Based on Choquet Integral
International Instrumentation and Measurement Technology Conference, 2023As an advanced visualization technique, electrical resistance tomography (ERT) has been used in dredging engineering in recent years. ERT can be used to measure and compute the solid-phase fraction and flow velocity in the pipe of any dredger in a non ...
Kun Li +3 more
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Fuzzy nonlinear regressions based on fuzzy choquet integrals
Journal of Intelligent & Fuzzy Systems, 2015In this paper, we first introduce two kinds of aggregation tools: fuzzy Choquet integrals, one is the fuzzy Choquet integral of fuzzy-valued functions with respect to fuzzy measure, the another is the fuzzy Choquet integral of real-valued functions with respect to fuzzy-valued fuzzy measure.
Ji, Ai-bing +2 more
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