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一类不确定支持向量机问题的鲁棒可行性半径精确公式

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文章旨在研究一类不确定支持向量机问题的鲁棒可行性.首先借助鲁棒优化方法,引入该不确定支持向量机问题的鲁棒对等问题.随后给出鲁棒对等问题的重构优化问题.最后借助该重构问题和上图集,得到该不确定支持向量机问题的鲁棒可行性半径的精确计算公式.
An Exact Formula of Radius of Robust Feasibility for a Class of Uncertain Support Vector Machine Problems
This paper is concerned with the robust feasibility for a class of support vector machine problems with uncertain data.Firstly,a robust counterpart problem of the uncertain support vector machine problem is introduced in terms of robust op-timization.Then,a reformulation of the robust counterpart problem of the uncertain support vector machine problem is given.Finally,by using this reformulation and the so-called epigraphical set,an exact formula for the radius of robust feasibility of the uncertain support vector machine problem is obtained.

Support vector machine problemrobust optimizationrobust feasibility

肖彩云、孙祥凯

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重庆工商大学数学与统计学院,重庆 400067

支持向量机问题 鲁棒优化 鲁棒可行性

国家自然科学基金重庆市自然科学基金面上项目重庆市教委科技重点项目

12001070cstc2020jcyjmsxmX0061KJZD-K202200803

2024

系统科学与数学
中国科学院数学与系统科学研究院

系统科学与数学

CSTPCD北大核心
影响因子:0.425
ISSN:1000-0577
年,卷(期):2024.44(1)
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