论文标题

通过特征向量连续近似的正交多视图分析

Orthogonal Multi-view Analysis by Successive Approximations via Eigenvectors

论文作者

Wang, Li, Zhang, Leihong, Shen, Chungen, Li, Ren-cang

论文摘要

我们为多视图子空间学习提供了一个统一的框架,以学习所有观点的单个正交预测。该框架将相关性集成到多个视图,监督的判别能力和距离保存中,以简洁而紧凑的方式整合。它不仅包括几种现有模型作为特殊情况,还包括新的新颖模型。为了展示其处理不同的学习方案的多功能性,我们在此框架下展示了三个新的多视图判别分析模型和两个新的多视标分类。提出了基于经常向量的连续近似值的有效数值方法,以解决相关的优化问题。该方法是基于迭代Krylov子空间方法构建的,该方法可以轻松地扩展到高维数据集。在各种现实世界数据集上进行了广泛的实验,以进行多视图判别分析和多视图多标签分类。实验结果表明,所提出的模型始终比不学习正交投影的方法持续竞争,并且通常更好。

We propose a unified framework for multi-view subspace learning to learn individual orthogonal projections for all views. The framework integrates the correlations within multiple views, supervised discriminant capacity, and distance preservation in a concise and compact way. It not only includes several existing models as special cases, but also inspires new novel models. To demonstrate its versatility to handle different learning scenarios, we showcase three new multi-view discriminant analysis models and two new multi-view multi-label classification ones under this framework. An efficient numerical method based on successive approximations via eigenvectors is presented to solve the associated optimization problem. The method is built upon an iterative Krylov subspace method which can easily scale up for high-dimensional datasets. Extensive experiments are conducted on various real-world datasets for multi-view discriminant analysis and multi-view multi-label classification. The experimental results demonstrate that the proposed models are consistently competitive to and often better than the compared methods that do not learn orthogonal projections.

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