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星座和使用量子通勤时间的图形嵌入

Constellations and the Graph Embedding using Quantum Commute Times
课程网址: http://videolectures.net/gbr07_emms_geuqct/  
主讲教师: David Emms
开课单位: 约克大学
开课时间: 2007-07-12
课程语种: 英语
中文简介:
本文对连续时间量子行走的通勤时间进行了分析和实验探索。对于经典的随机游动,上下班时间对边缘权重结构的误差具有鲁棒性,并导致谱聚类算法的性能得到改善。我们的分析表明,连续时间量子走行的通勤时间可以通过拉普拉斯谱的积分来确定,并用高斯-拉盖尔积分来计算。我们分析了量子通勤时间与他们的经典对应物。实验表明,量子上下班时间可以用来强调簇结构。
课程简介: In this paper, we explore analytically and experimentally the commute time of the continuous-time quantum walk. For the classical random walk, the commute time has been shown to be robust to errors in edge weight structure and to lead to spectral clustering algorithms with improved performance. Our analysis shows that the commute time of the continuous-time quantum walk can be determined via integrals of the Laplacian spectrum, calculated using Gauss-Laguerre quadrature. We analyse the quantum commute times with reference to their classical counterpart. Experimentally, we show that the quantum commute times can be used to emphasise cluster-structure.
关 键 词: 通勤时间; 连续时间量子; 边缘权重结构
课程来源: 视频讲座网
最后编审: 2019-11-28:lxf
阅读次数: 43