论文标题

多视图低级保存嵌入:一种用于多视图表示的新方法

Multi-view Low-rank Preserving Embedding: A Novel Method for Multi-view Representation

论文作者

Meng, Xiangzhu, Feng, Lin, Wang, Huibing

论文摘要

近年来,我们目睹了对多视图表示学习的兴趣激增,这与多视图数据的学习表示问题有关。当面对高度相关但彼此不同的多个视图时,大多数现有的多视图方法可能无法完全集成多视图信息。此外,来自多个视图的功能之间的相关性总是很认真地变化,这使得多视图表示具有挑战性。因此,如何从多视图信息中学习适当的嵌入仍然是一个空旷的问题,但具有挑战性。为了解决这个问题,本文提出了一种新颖的多视图学习方法,称为多视图低级别保存嵌入(MVLPE)。它通过最大程度地减少了实例之间的距离或相似性矩阵,在质心视图和每种视图之间,将不同的观点整合到一个质心视图中,同时在每种视图中保持样本之间的低级别重建关系,这可以使来自多视频特征的兼容和互补信息更多地充分利用。与具有加性参数的现有方法不同,所提出的方法可以自动为多视图信息融合中的每个视图分配合适的权重。但是,无法直接解决MVLPE,这使得提出的MVLPE难以获得分析解决方案。为此,我们基于固定假设和后处理的归一化来近似该解决方案,以有效地获得最佳解决方案。此外,还提供了解决此多视图表示问题的迭代交替策略。六个基准数据集的实验表明,所提出的方法在实现非常具竞争力的性能的同时优于其同行。

In recent years, we have witnessed a surge of interest in multi-view representation learning, which is concerned with the problem of learning representations of multi-view data. When facing multiple views that are highly related but sightly different from each other, most of existing multi-view methods might fail to fully integrate multi-view information. Besides, correlations between features from multiple views always vary seriously, which makes multi-view representation challenging. Therefore, how to learn appropriate embedding from multi-view information is still an open problem but challenging. To handle this issue, this paper proposes a novel multi-view learning method, named Multi-view Low-rank Preserving Embedding (MvLPE). It integrates different views into one centroid view by minimizing the disagreement term, based on distance or similarity matrix among instances, between the centroid view and each view meanwhile maintaining low-rank reconstruction relations among samples for each view, which could make more full use of compatible and complementary information from multi-view features. Unlike existing methods with additive parameters, the proposed method could automatically allocate a suitable weight for each view in multi-view information fusion. However, MvLPE couldn't be directly solved, which makes the proposed MvLPE difficult to obtain an analytic solution. To this end, we approximate this solution based on stationary hypothesis and normalization post-processing to efficiently obtain the optimal solution. Furthermore, an iterative alternating strategy is provided to solve this multi-view representation problem. The experiments on six benchmark datasets demonstrate that the proposed method outperforms its counterparts while achieving very competitive performance.

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