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大直径图形的在线预测

Online Prediction on Large Diameter Graphs
课程网址: http://videolectures.net/wehys08_lever_opldg/  
主讲教师: Guy Lever
开课单位: 伦敦大学学院
开课时间: 2008-12-20
课程语种: 英语
中文简介:
我们继续我们的研究在线预测标签的图表。我们展示了基于laplacian的算法的一个基本限制:如果图的直径很大,那么这种算法的错误数可能与顶点数的平方根成正比,即使是在处理简单问题的时候。我们通过一种有效的算法来克服这一缺点,该算法实现了一个对数误差界。它是基于脊柱的概念,路径图提供了原始图形的线性嵌入。在实际应用中,图形可能显示集群结构;因此,在最后一部分中,我们提出了一种改进的算法,该算法既能很好地处理集群结构,又能很好地处理大直径图。
课程简介: We continue our study of online prediction of the labelling of a graph. We show a fundamental limitation of Laplacian-based algorithms: if the graph has a large diameter then the number of mistakes made by such algorithms may be proportional to the square root of the number of vertices, even when tackling simple problems. We overcome this drawback by means of an efficient algorithm which achieves a logarithmic mistake bound. It is based on the notion of a spine, a path graph which provides a linear embedding of the original graph. In practice, graphs may exhibit cluster structure; thus in the last part, we present a modified algorithm which achieves the “best of both worlds”: it performs well locally in the presence of cluster structure, and globally on large diameter graphs.
关 键 词: 集群结构; ; 拉普拉斯算法
课程来源: 视频讲座网
最后编审: 2021-02-04:nkq
阅读次数: 49