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Possibilistic support vector machines
Authors:KiYoung Lee  Dae-Won Kim  Doheon Lee
Affiliation:a Department of Electrical Engineering & Computer Science, Korea Advanced Institute of Science and Technology, Guseong-dong, Yuseong-gu, Daejeon 305-701, Republic of Korea
b Department of BioSystems and Advanced Information Technology Research Center, Korea Advanced Institute of Science and Technology, Guseong-dong, Yuseong-gu, Daejeon 305-701, Republic of Korea
Abstract:
We propose new support vector machines (SVMs) that incorporate the geometric distribution of an input data set by associating each data point with a possibilistic membership, which measures the relative strength of the self class membership. By using a possibilistic distance measure based on the possibilistic membership, we reformulate conventional SVMs in three ways. The proposed methods are shown to have better classification performance than conventional SVMs in various tests.
Keywords:Classification   Support vector machines   Possibilistic SVMs   Geometric distribution   Possibilistic distance
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