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Making Fast Graph-based Algorithms with Graph Metric Embeddings

机译:用图形度量嵌入制作基于快速的基于图形的算法

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The computation of distance measures between nodes in graphs is inefficient and does not scale to large graphs. We explore dense vector representations as an effective way to approximate the same information: we introduce a simple yet efficient and effective approach for learning graph embeddings. Instead of directly operating on the graph structure, our method takes structural measures of pairwise node similarities into account and learns dense node representations reflecting user-defined graph distance measures, such as e.g. the shortest path distance or distance measures that take information beyond the graph structure into account. We demonstrate a speed-up of several orders of magnitude when predicting word similarity by vector operations on our embeddings as opposed to directly computing the respective path-based measures, while outperforming various other graph embeddings on semantic similarity and word sense disambiguation tasks and show evaluations on the WordNet graph and two knowledge base graphs.
机译:图中节点之间的距离测量的计算效率效率低,并不缩放到大图。我们探索密集的矢量表示作为近似相同信息的有效方法:我们介绍了一种简单但有效且有效的学习图形嵌入方法。我们的方法而不是直接在图形结构上运行,而是考虑成对节点相似性的结构测量,并学习反映用户定义的图距离测量的密集节点表示,例如例如,例如,考虑到图形结构之外的信息的最短路径距离或距离测量。当通过直接计算基于路径的措施时,我们展示了多个数量级的速度,而当我们的嵌入方式预测是直接计算各个路径的措施,同时优于语义相似性和词语意义消歧任务和显示评估的各种其他图形嵌入的各种其他图形嵌入在Wordnet图形和两个知识库图上。

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