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On Lipschitz Embeddings of Graphs

机译:在Lipschitz嵌入图形

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摘要

In pattern recognition and related fields, graph based representations offer a versatile alternative to the widely used feature vectors. Therefore, an emerging trend of representing objects by graphs can be observed. This trend is intensified by the development of novel approaches in graph based machine learning, such as graph kernels or graph embedding techniques. These procedures overcome a major drawback of graphs, which consists in a serious lack of algorithms for classification and clustering. The present paper is inspired by the idea of representing graphs by means of dissimilarities and extends previous work to the more general setting of Lipschitz embeddings. In an experimental evaluation we empirically confirm that classifiers relying on the original graph distances can be outperformed by a classification system using the Lipschitz embedded graphs.
机译:在模式识别和相关字段中,基于图表的表示提供了广泛使用的特征向量的多功能替代方案。因此,可以观察到通过图表代表对象的新出现趋势。通过基于图形机器学习的新方法的开发,例如图形内核或图形嵌入技术,加强了这种趋势。这些程序克服了图表的主要缺点,这在严重缺乏分类和聚类算法中。本文的灵感来自通过不同的方式代表图表,并扩展了以前的工作,以更普通的Lipschitz Embeddings。在一个实验评估中,我们经验证实,依赖于原始图距离的分类器可以通过使用Lipschitz嵌入图形的分类系统表现优势。

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