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基于SMC策略的线性不可分数据集的分类算法OA

Classification Algorithm for Linearly Inseparable Datasets Based on SMC Strategy

中文摘要英文摘要

针对线性不可分数据集的分类问题,通过将滑模控制(SMC)思想用于支持向量(SVM)核函数参数优化过程,提出一种基于 SMC 策略的 SVM 核函数参数优化算法.设计误差方程和滑模面,建立 SVM 分类目标函数与SMC 的关联,并推导出核函数参数迭代更新规则及代价函数.通过动态调整 SVM 核函数参数,在减少支持向量数量的同时提升分类性能.实验部分采用 Iris、Heart disease 等 6 个 UCI 数据集验证算法有效性.结果表明:与传统SVM 相比,所提算法在 Iris 数据集上支持向量减少 56.25%,测试准确率保持 100%;在 Heart-disease 数据集上测试准确率提升 13.58 百分点.所提算法与现有优化算法对比,在多个数据集上表现出更高的分类精度.

For the classification problem of linearly inseparable datasets,a support vector machine(SVM)kernel function parameter optimization algorithm was proposed based on the sliding mode control(SMC)strategy by apply-ing the SMC idea to the SVM kernel function parameter optimization process.By designing the error equation and sliding surface,the association between SVM classification objective function and SMC was established,and then the iteration update rules of kernel function parameters and cost function was derived.The algorithm improved clas-sification performance while reducing the number of support vectors by dynamically adjusting the kernel parameters of SVM.In the experiment part,six UCI datasets,such as Iris and Heart disease,were used to verify the validity of the algorithm.The results showed that compared with traditional SVM,the proposed algorithm reduced the num-ber of support vectors by 56.25%on the Iris dataset,and the test accuracy remained at 100%.Test accuracy in-creased by 13.58 percentage points on the Heart disease dataset.Furthermore,the proposed algorithm,compared with existing optimization algorithms,showed a higher classification accuracy on some datasets.

张光晨;李展菲;何舒平;夏元清

北方民族大学 数学与信息科学学院,宁夏 银川 750021北方民族大学 数学与信息科学学院,宁夏 银川 750021安徽大学 电气工程与自动化学院,安徽 合肥 230601北京理工大学 自动化学院,北京 100081

信息技术与安全科学

支持向量机滑模控制策略分类算法核函数参数

support vector machinessliding mode control strategyclassification algorithmnuclear functionpa-rameter

《郑州大学学报(工学版)》 2026 (4)

74-79,6

国家自然科学基金资助项目(62563002)2024年度宁夏回族自治区青年拔尖人才培养项目北方民族大学创新项目(YCX24288)

10.13705/j.issn.1671-6833.2026.04.004

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