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图表上的半定列排名

Semidefinite ranking on graphs
课程网址: http://videolectures.net/sicgt07_vembu_srog/  
主讲教师: Shankar Vembu
开课单位: 伊利诺伊大学
开课时间: 2007-09-07
课程语种: 英语
中文简介:
我们考虑在给定一些偏好关系的情况下对无向图的顶点进行排序的问题。在使用[1]中的光谱弛豫之前,已经解决了关于图问题的这种排名。他们的方法与谱聚类算法中的谱松弛密切相关。在聚类中发现的光谱弛豫的一个问题是即使在简单的玩具图上,光谱解也可以任意地远离最优的[2]。最近已经表明,半定区弛豫在很多情况下提供了比光谱方法更好的解决方案[3]和转导分类[4]。因此,我们研究了在图上排名的半定长松弛。
课程简介: We consider the problem of ranking the vertices of an undirected graph given some preference relation. This ranking on graphs problem has been tackled before using spectral relaxations in [1]. Their approach is strongly related to the spectral relaxation made in spectral clustering algorithms. One problem with spectral relaxations that has been found in clustering is that even on simple toy graphs the spectral solution can be arbitrarily far from the optimal one [2]. It has recently been shown that semidefinite relaxations offer in many cases better solutions than spectral ones for clustering [3] and transductive classification [4]. We therefore investigate semidefinite relaxations of ranking on graphs.
关 键 词: 谱聚类算法; 谱松弛; 半定区弛豫
课程来源: 视频讲座网
最后编审: 2020-06-11:chenxin
阅读次数: 33