S. Ghorai, Shaikh Jahangir Hossian, A. Mukherjee, P. Dutta
{"title":"统一范数双支持向量机分类器","authors":"S. Ghorai, Shaikh Jahangir Hossian, A. Mukherjee, P. Dutta","doi":"10.1109/INDCON.2010.5712721","DOIUrl":null,"url":null,"abstract":"In this work we have reformulated the twin support vector machine (TWSVM) classifier by considering unity norm of the normal vector of the hyperplanes as the constraints. TWSVM with unity norm hyperplanes removes the shortcomings of the classical TWSVM formulation. The resulting new formulation is a nonlinear programming problem which is solved by sequential quadratic optimization method. The performance of the modified classifier verified experimentally on synthetic as well as on benchmark data sets.","PeriodicalId":109071,"journal":{"name":"2010 Annual IEEE India Conference (INDICON)","volume":"405 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Unity norm twin support vector machine classifier\",\"authors\":\"S. Ghorai, Shaikh Jahangir Hossian, A. Mukherjee, P. Dutta\",\"doi\":\"10.1109/INDCON.2010.5712721\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work we have reformulated the twin support vector machine (TWSVM) classifier by considering unity norm of the normal vector of the hyperplanes as the constraints. TWSVM with unity norm hyperplanes removes the shortcomings of the classical TWSVM formulation. The resulting new formulation is a nonlinear programming problem which is solved by sequential quadratic optimization method. The performance of the modified classifier verified experimentally on synthetic as well as on benchmark data sets.\",\"PeriodicalId\":109071,\"journal\":{\"name\":\"2010 Annual IEEE India Conference (INDICON)\",\"volume\":\"405 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Annual IEEE India Conference (INDICON)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/INDCON.2010.5712721\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Annual IEEE India Conference (INDICON)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INDCON.2010.5712721","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this work we have reformulated the twin support vector machine (TWSVM) classifier by considering unity norm of the normal vector of the hyperplanes as the constraints. TWSVM with unity norm hyperplanes removes the shortcomings of the classical TWSVM formulation. The resulting new formulation is a nonlinear programming problem which is solved by sequential quadratic optimization method. The performance of the modified classifier verified experimentally on synthetic as well as on benchmark data sets.