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The Generalization Ability of Online SVM Classification Based on Markov Sampling

机译:基于马尔可夫采样的在线SVM分类的泛化能力

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In this paper, we consider online support vector machine (SVM) classification learning algorithms with uniformly ergodic Markov chain (u.e.M.c.) samples. We establish the bound on the misclassification error of an online SVM classification algorithm with u.e.M.c. samples based on reproducing kernel Hilbert spaces and obtain a satisfactory convergence rate. We also introduce a novel online SVM classification algorithm based on Markov sampling, and present the numerical studies on the learning ability of online SVM classification based on Markov sampling for benchmark repository. The numerical studies show that the learning performance of the online SVM classification algorithm based on Markov sampling is better than that of classical online SVM classification based on random sampling as the size of training samples is larger.
机译:在本文中,我们考虑具有均匀遍历马尔可夫链(u.e.M.c.)样本的在线支持向量机(SVM)分类学习算法。我们用u.e.M.c建立在线SVM分类算法错误分类错误的界限。基于重现内核希尔伯特空间的样本,并获得令人满意的收敛速度。本文还介绍了一种基于马尔可夫采样的在线支持向量机分类算法,并对基于基准马尔可夫采样的在线支持向量机分类学习能力进行了数值研究。数值研究表明,随着训练样本量的增加,基于马尔可夫采样的在线支持向量机分类算法的学习性能优于基于随机采样的经典在线支持向量机分类算法。

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