The Generalization Error Bound for the Multiclass Analytical Center Classifier

The Generalization Error Bound for the Multiclass Analytical Center Classifier

This paper presents the multiclass classifier based on analytical center of feasible space (MACM). This multiclass classifier is formulated as quadratic constrained linear optimization and does not need repeatedly constructing classifiers to separate a single class from all the others. Its generaliz...

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Main Authors: Zeng Fanzi, Ma Xiaolong
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/574748
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spelling doaj-2338944574f44a27b27293f79101fa332020-11-25T01:00:16ZengHindawi LimitedThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/574748574748The Generalization Error Bound for the Multiclass Analytical Center ClassifierZeng Fanzi0Ma Xiaolong1Key Laboratory for Embedded and Network Computing of Hunan Province, Hunan University, Changsha 410082, ChinaKey Laboratory for Embedded and Network Computing of Hunan Province, Hunan University, Changsha 410082, ChinaThis paper presents the multiclass classifier based on analytical center of feasible space (MACM). This multiclass classifier is formulated as quadratic constrained linear optimization and does not need repeatedly constructing classifiers to separate a single class from all the others. Its generalization error upper bound is proved theoretically. The experiments on benchmark datasets validate the generalization performance of MACM.http://dx.doi.org/10.1155/2013/574748
collection DOAJ
language English
format Article
sources DOAJ
author Zeng Fanzi
Ma Xiaolong
spellingShingle Zeng Fanzi
Ma Xiaolong
The Generalization Error Bound for the Multiclass Analytical Center Classifier
The Scientific World Journal
author_facet Zeng Fanzi
Ma Xiaolong
author_sort Zeng Fanzi
title The Generalization Error Bound for the Multiclass Analytical Center Classifier
title_short The Generalization Error Bound for the Multiclass Analytical Center Classifier
title_full The Generalization Error Bound for the Multiclass Analytical Center Classifier
title_fullStr The Generalization Error Bound for the Multiclass Analytical Center Classifier
title_full_unstemmed The Generalization Error Bound for the Multiclass Analytical Center Classifier
title_sort generalization error bound for the multiclass analytical center classifier
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2013-01-01
description This paper presents the multiclass classifier based on analytical center of feasible space (MACM). This multiclass classifier is formulated as quadratic constrained linear optimization and does not need repeatedly constructing classifiers to separate a single class from all the others. Its generalization error upper bound is proved theoretically. The experiments on benchmark datasets validate the generalization performance of MACM.
url http://dx.doi.org/10.1155/2013/574748
work_keys_str_mv AT zengfanzi thegeneralizationerrorboundforthemulticlassanalyticalcenterclassifier
AT maxiaolong thegeneralizationerrorboundforthemulticlassanalyticalcenterclassifier
AT zengfanzi generalizationerrorboundforthemulticlassanalyticalcenterclassifier
AT maxiaolong generalizationerrorboundforthemulticlassanalyticalcenterclassifier
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