论文标题

用于机器学习的图形拓扑推理基准

Graph topology inference benchmarks for machine learning

论文作者

Lassance, Carlos, Gripon, Vincent, Mateos, Gonzalo

论文摘要

如今,图形在信号处理和机器学习领域中无处不在。作为一种用于表达对象之间关系的工具,可以将图形部署到各个目的:i)顶点的聚类,ii)顶点的半监督分类,iii)图形信号的监督分类;但是,在许多实际情况下,图形并未明确可用,因此必须从数据中推断出图。验证是一项艰巨的努力,自然取决于学习图的下游任务。因此,通常很难比较不同算法的功效。在这项工作中,我们介绍了一些专门设计的易用性且公开发布的基准,该基准专门旨在揭示图形推理方法的相对优点和局限性。我们还与文献中一些最杰出的技术进行了对比。

Graphs are nowadays ubiquitous in the fields of signal processing and machine learning. As a tool used to express relationships between objects, graphs can be deployed to various ends: I) clustering of vertices, II) semi-supervised classification of vertices, III) supervised classification of graph signals, and IV) denoising of graph signals. However, in many practical cases graphs are not explicitly available and must therefore be inferred from data. Validation is a challenging endeavor that naturally depends on the downstream task for which the graph is learnt. Accordingly, it has often been difficult to compare the efficacy of different algorithms. In this work, we introduce several ease-to-use and publicly released benchmarks specifically designed to reveal the relative merits and limitations of graph inference methods. We also contrast some of the most prominent techniques in the literature.

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