$$\nu $$ ν -Improved nonparallel support vector machine

Abstract In this paper, a $$\nu $$ ν -improved nonparallel support vector machine ( $$\nu $$ ν -IMNPSVM) is proposed to solve binary classification problems. In this model, we use related ideas of $$\nu $$ ν -support vector machine( $$\nu $$ ν -SVM), the parameter $$\nu $$ ν is introduced to control...

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Main Authors: Fengmin Sun, Shujun Lian
Format: Article
Language:English
Published: Nature Portfolio 2022-10-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-22559-5
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author Fengmin Sun
Shujun Lian
author_facet Fengmin Sun
Shujun Lian
author_sort Fengmin Sun
collection DOAJ
description Abstract In this paper, a $$\nu $$ ν -improved nonparallel support vector machine ( $$\nu $$ ν -IMNPSVM) is proposed to solve binary classification problems. In this model, we use related ideas of $$\nu $$ ν -support vector machine( $$\nu $$ ν -SVM), the parameter $$\nu $$ ν is introduced to control the limits of the support vectors percentage. In the objective function, the parameter $$\varepsilon $$ ε is increased to ensure that $$\varepsilon $$ ε -band is kept as small as possible. It has played a great role in the classification of unbalanced data sets. On the basis of maximizing the interval between two classes, $$\nu $$ ν -IMNPSVM can fully fit the distribution of data points in the class by minimizing the $$\varepsilon $$ ε -band, which enhances the generalization ability of the model. The results on the benchmark datasets testify that the proposed model has a good effect on the classification accuracy.
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spelling doaj.art-a2e718f692d240de93a47ca3d5940af92022-12-22T03:53:43ZengNature PortfolioScientific Reports2045-23222022-10-0112111310.1038/s41598-022-22559-5$$\nu $$ ν -Improved nonparallel support vector machineFengmin Sun0Shujun Lian1School of Management Science, Qufu Normal UniversitySchool of Management Science, Qufu Normal UniversityAbstract In this paper, a $$\nu $$ ν -improved nonparallel support vector machine ( $$\nu $$ ν -IMNPSVM) is proposed to solve binary classification problems. In this model, we use related ideas of $$\nu $$ ν -support vector machine( $$\nu $$ ν -SVM), the parameter $$\nu $$ ν is introduced to control the limits of the support vectors percentage. In the objective function, the parameter $$\varepsilon $$ ε is increased to ensure that $$\varepsilon $$ ε -band is kept as small as possible. It has played a great role in the classification of unbalanced data sets. On the basis of maximizing the interval between two classes, $$\nu $$ ν -IMNPSVM can fully fit the distribution of data points in the class by minimizing the $$\varepsilon $$ ε -band, which enhances the generalization ability of the model. The results on the benchmark datasets testify that the proposed model has a good effect on the classification accuracy.https://doi.org/10.1038/s41598-022-22559-5
spellingShingle Fengmin Sun
Shujun Lian
$$\nu $$ ν -Improved nonparallel support vector machine
Scientific Reports
title $$\nu $$ ν -Improved nonparallel support vector machine
title_full $$\nu $$ ν -Improved nonparallel support vector machine
title_fullStr $$\nu $$ ν -Improved nonparallel support vector machine
title_full_unstemmed $$\nu $$ ν -Improved nonparallel support vector machine
title_short $$\nu $$ ν -Improved nonparallel support vector machine
title_sort nu ν improved nonparallel support vector machine
url https://doi.org/10.1038/s41598-022-22559-5
work_keys_str_mv AT fengminsun nunimprovednonparallelsupportvectormachine
AT shujunlian nunimprovednonparallelsupportvectormachine