Results 91 to 100 of about 207 (116)

On pseudo gradient search for solving nonlinear multiregression with the Choquet integral

2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013
The objective function in some real optimization problems 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 search, the method of pseudo gradient search has been proposed and used for solving nonlinear optimization problems, such as ...
Bo Guo 0004, Li Zhang-Westman, Zhenyuan Wang   +2 more
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A Hybrid Nonlinear Classifier Based on Generalized Choquet Integrals

2004
In this new hybrid model ofnonlinear classifier, unlike the classical linear classifier where the feature attributes influence the classifying attribute independently, the interaction among the influences from the feature attributes toward the classifying attribute is described by a signed fuzzy measure. An optimized Choquet integral with respect to an
Zhenyuan Wang, Hai-Feng Guo, Yong Shi 0001, Kwong-Sak Leung   +3 more
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Convergence theorems for sequences of Choquet integrals and the stability of nonlinear integral systems

Proceedings of North American Fuzzy Information Processing, 2002
In the last 20 years, the theoretical as well as practical significance of nonadditive set functions and nonlinear integrals has increasingly been recognized. The Choquet integral with respect to nonadditive monotone set functions is one kind of nonlinear functionals defined on a subspace of all real-valued measurable functions.
G.J. Klir, Z. Wang
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Pseudo gradient search for solving nonlinear multiregression based on the Choquet integral

2009 IEEE International Conference on Granular Computing, 2009
In 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 0004, Wei Chen, Zhenyuan Wang
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Solving nonlinear programming problems based on the Choquet integral by a genetic algorithm

Journal of Intelligent & Fuzzy Systems, 2015
Abstract Nonadditive set functions represent contribution rate of individual feature attributes and combinations of feature attributes toward the target. Their nonadditivity describes the interaction among contributions. The generalized weighted Choquet integral with respect to a nonadditive set function serves as
Naomi Kochi, Zhenyuan Wang
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A new genetic algorithm for nonlinear multiregressions based on generalized Choquet integrals

The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03., 2004
This paper gives a new genetic algorithm for nonlinear multiregression based on generalized Choquet integrals with respect to signed fuzzy measures. Unlike the previous work where the values of the signed fuzzy measure are determined by random search in a genetic algorithm with other regression coefficients together; in this new algorithm, they are ...
Zhenyuan Wang, Hai-Feng Guo
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Forest volume estimation using nonlinear multiregression based on Choquet integrals

2009 International Conference on Machine Learning and Cybernetics, 2009
Nonlinear multiregression based on choquet integrals has been widely researched. In this paper, a new estimation model of the forest volume using nonlinear multiregression based on Choquet integrals was established.
null Dong-Mei Huang, null Jian-Cai Gu, null Tao Xiao, null Ning Zhang, null Xin-Wu Zhen   +4 more
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A new nonlinear classification model based on cross-oriented Choquet integrals

International Conference on Information Science and Technology, 2011
The nonadditive set function defined on the power set of all considered feature attributes can describe the interaction among the contributions from various feature attributes towards classification. The Choquet integral with respect to nonadditive set functions then is a proper aggregation tool in classifications with a nonlinear classifying boundary.
Zhenyuan Wang, Rong Yang, null Yong Shi
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Choquet integral representations of nonlinear filters with applications to ladar image processing

SPIE Proceedings, 1998
The 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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Efficient and Scalable Nonlinear Multiple Kernel Aggregation Using the Choquet Integral

2014
Previously, we investigated the definition and applicability of the fuzzy integral (FI) for nonlinear multiple kernel (MK) aggregation in pattern recognition. Kernel theory provides an elegant way to map multi-source heterogeneous data into a combined homogeneous (implicit) space in which aggregation can be carried out.
Lequn Hu, Derek T. Anderson, Timothy C. Havens, James M. Keller   +3 more
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