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Title: A new minimax probability based classifier using fuzzy hyper-ellipsoid
Authors: Deng, Z
Chung, FL 
Wang, S
Issue Date: 2007
Source: International Joint Conference on Neural Networks, 2007 : IJCNN 2007, 12-17 August 2007, Orlando, FL, p. 2385-2390
Abstract: In this paper, a new classifier called minimax-probability based fuzzy hyper-ellipsoid machine (MP-FHM) is proposed. It offers an alternative implementation of the minimax probability based classification with hyper plane and can be taken as an extended version of the ball-model based classifier. By the theorem proposed by Marshall and Qlkin, the training procedure of MP-FHM can be transformed into solving the corresponding unconstrained optimization problems, and thereby various optimization techniques can easily be adopted to solve them. In addition, the MP-FHM can be kernelized, and therefore it has strong nonlinear classification capabilities like other kernel-based classifiers. Various experiments were conducted and the results demonstrate that the proposed classifier is competitive with the state-of-the-art classifiers and is a very promising classification method.
Keywords: Computational geometry
Fuzzy set theory
Learning (artificial intelligence)
Minimax techniques
Pattern classification
Publisher: IEEE
ISBN: 978-1-4244-1379-9
978-1-4244-1380-5 (E-ISBN)
ISSN: 1098-7576
DOI: 10.1109/IJCNN.2007.4371331
Appears in Collections:Conference Paper

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