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Posterior probability support vector Machines for unbalanced data Neural Networks
Qing Tao; Gao-Wei Wu; Fei-Yue Wang; Jue Wang; -
Source PublicationIEEE Transactions on Neural Networks
2005-11
Volume16Issue:6Pages:1561-1573
Abstract- ;
This paper proposes a complete framework of posterior
probability support vector machines (PPSVMs) for weighted
training samples using modified concepts of risks, linear separability,
margin, and optimal hyperplane. Within this framework, a
new optimization problem for unbalanced classification problems
is formulated and a new concept of support vectors established.
Furthermore, a soft PPSVM with an interpretable parameter V is
obtained which is similar to the -SVM developed by Schölkopf et
al., and an empirical method for determining the posterior probability
is proposed as a new approach to determine . The main advantage
of anPPSVMclassifier lies in that fact that it is closer to the
Bayes optimal without knowing the distributions. To validate the
proposed method, two synthetic classification examples are used
to illustrate the logical correctness of PPSVMs and their relationship
to regular SVMs and Bayesian methods. Several other classification
experiments are conducted to demonstrate that the performance
of PPSVMs is better than regular SVMs in some cases.
Compared with fuzzy support vector machines (FSVMs), the proposed
PPSVM is a natural and an analytical extension of regular
SVMs based on the statistical learning theory.
KeywordBayesian Decision Theory Classification Margin Maximal Margin Algorithms -svm Posterior Probability Support Vector Machines (Svms) Unbalanced Data.
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/14880
Collection09年以前成果
Corresponding Author-
Recommended Citation
GB/T 7714
Qing Tao,Gao-Wei Wu,Fei-Yue Wang,et al. Posterior probability support vector Machines for unbalanced data Neural Networks[J]. IEEE Transactions on Neural Networks,2005,16(6):1561-1573.
APA Qing Tao,Gao-Wei Wu,Fei-Yue Wang,Jue Wang,&-.(2005).Posterior probability support vector Machines for unbalanced data Neural Networks.IEEE Transactions on Neural Networks,16(6),1561-1573.
MLA Qing Tao,et al."Posterior probability support vector Machines for unbalanced data Neural Networks".IEEE Transactions on Neural Networks 16.6(2005):1561-1573.
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