Training One-class Support Vector Machines in the Primal Space

机译：培训在原始空间中的单级支持向量机

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In this paper, we proposed a novel Newton-type solver for one-class support vector machines in the primal space directly. Firstly, utilizing reproducing property of kernel and Huber regression function, original constrained quadratic programming is transformed into approximate unconstrained one, which is continuous and twice differentiable. Then, we give a Newton-type training algorithm to solve it. Further analysis shows the computation complexity of our algorithm is identical with theoretical lower bound for solving one-class support vector machines. In the end, experiments on 9 UCI datasets are done to validate the effectivity of proposed algorithm, and when comparing with dual method (LIBSVM), its produces comparative testing accuracy, better training speed, and less support vectors.

机译：在本文中，我们提出了一种直接在原始空间中的单级支持向量机的新型牛顿型求解器。首先，利用内核和HUBER回归函数的再现特性，原始约束的二次编程转换为近似无约束的二次编程，这是连续且两次可分辨率的。然后，我们提供牛顿型训练算法来解决它。进一步的分析表明，我们的算法的计算复杂性与求解单级支持向量机的理论下限相同。最后，完成了9个UCI数据集的实验以验证所提出的算法的有效性，以及与双方法（Libsvm）进行比较时，其产生比较测试精度，更好的训练速度和更少的支持向量。

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来源
《International Conference on Electronic Computer Technology》|2009年||共4页
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作者
Lei Wang; Yong Yang;
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中图分类 TP3-53;
关键词
One-class support vector machines; Primal space; Newton-type algorithm;

机译：单级支持向量机;原始空间;牛顿型算法;

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1. Training robust support vector machine with smooth Ramp loss in the primal space [J] . Lei Wang, Huading Jia, Jie Li Neurocomputing . 2008,第13a15期

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2. Approximate training of one-class support vector machines using expected margin [J] . Kang Seokho, Kim Dongil, Cho Sungzoon Computers & Industrial Engineering . 2019,第APRa期

机译：使用预期余量对一类支持向量机进行近似训练
3. An one-class classification support vector machine model by interval-valued training data [J] . Utkin Lev V., Zhuk Yulia A. Knowledge-Based Systems . 2017,第Mara15期

机译：基于区间值训练数据的一类分类支持向量机模型
4. Training One-class Support Vector Machines in the Primal Space [C] . Wang Lei, Yang Yong Electronic Computer Technology . 2009

机译：在原始空间中训练一类支持向量机
5. Edited-bootstrapped support vector machines for one-class data classification. [D] . Sravanthi, Anne Krishna. 2006

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7. Training a Support Vector Machine in the Primal [O] . Olivier Chapelle 2010

机译：在primal中训练支持向量机

Training One-class Support Vector Machines in the Primal Space

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