0


空间损耗:电阻距离的大样本分析

Getting lost in space: Large sample analysis of the resistance distance
课程网址: http://videolectures.net/nips2010_hein_gls/  
主讲教师: Matthias Hein
开课单位: 马克斯普朗克研究所
开课时间: 信息不详。欢迎您在右侧留言补充。
课程语种: 英语
中文简介:
图中两个顶点之间的通勤距离是从第一个顶点到第二个顶点来回随机行走所需的预期时间。我们研究了通勤距离随基础图大小的增加而变化的行为。我们证明了通勤距离收敛于一个完全不考虑图结构的表达式,并且作为图上的距离函数完全没有意义。因此,对于大型图形和高维图形,强烈不鼓励使用原始通勤距离进行机器学习。作为替代方案,我们引入了放大的通勤距离,以纠正不希望的大样本效应。
课程简介: The commute distance between two vertices in a graph is the expected time it takes a random walk to travel from the first to the second vertex and back. We study the behavior of the commute distance as the size of the underlying graph increases. We prove that the commute distance converges to an expression that does not take into account the structure of the graph at all and that is completely meaningless as a distance function on the graph. Consequently, the use of the raw commute distance for machine learning purposes is strongly discouraged for large graphs and in high dimensions. As an alternative we introduce the amplified commute distance that corrects for the undesired large sample effects.
关 键 词: 计算机科学; 网络分析; 机器学习
课程来源: 视频讲座网
最后编审: 2019-11-22:cwx
阅读次数: 21