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A Unifying Framework for Vector-valued Manifold Regularization and Multi-view Learning

机译:矢量值歧管正规化和多视图学习的统一框架

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This paper presents a general vector-valued reproducing kernel Hilbert spaces (RKHS) formulation for the problem of learning an unknown functional dependency between a structured input space and a structured output space, in the Semi-Supervised Learning setting. Our formulation includes as special cases Vector-valued Manifold Regularization and Multi-view Learning, thus provides in particular a unifying framework linking these two important learning approaches. In the case of least square loss function, we provide a closed form solution with an efficient implementation. Numerical experiments on challenging multi-class categorization problems show that our multi-view learning formulation achieves results which are comparable with state of the art and are significantly better than single-view learning.
机译:本文介绍了一个关于在半监督学习设置中学习结构化输入空间和结构化输出空间之间未知功能依赖性的问题的一般矢量值的再现内核(RKHS)制定。我们的配方包括作为传染媒介值歧管正则化和多视图学习的特殊情况,因此特别提供了连接这两个重要学习方法的统一框架。在最小二乘损失功能的情况下,我们提供具有有效实施的封闭式解决方案。关于挑战多级分类问题的数值实验表明,我们的多视图学习制定能够实现与现有技术相当的结果,并且比单视学学习更好。

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