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网络连接优化:基本限制和有效算法

Network Connectivity Optimization: Fundamental Limits and Effective Algorithms
课程网址: http://videolectures.net/kdd2018_chen_network_connectivity_optimi...  
主讲教师: Chen Chen
开课单位: 亚利桑那州立大学计算机科学与工程系
开课时间: 2018-11-23
课程语种: 英语
中文简介:
网络连接优化旨在通过改变其底层拓扑来操纵网络连接,是大量高影响力数据挖掘应用背后的一项基本任务,从免疫接种、关键基础设施建设、社会协作挖掘、生物信息学分析到智能交通系统设计。为了解决其指数计算复杂性,贪婪算法通过利用其递减收益特性,被广泛用于网络连接优化。尽管取得了经验上的成功,但两个关键挑战在很大程度上仍然悬而未决。首先,在理论方面,除了少数特殊情况外,一般网络连接优化问题的硬度和可逼近性仍处于萌芽状态。其次,在算法方面,当前的算法往往难以在优化质量和计算效率之间取得平衡。在本文中,我们系统地解决了网络连接优化问题的这两个挑战。首先,我们通过证明,对于广泛的网络连接优化问题,(1)它们是NP难的,(2)(1−1/e)是任何多项式算法的最优逼近比,揭示了一些基本限制。其次,我们提出了一种有效的、可扩展的通用算法(CONTAIN),以谨慎地平衡优化质量和计算效率。
课程简介: Network connectivity optimization, which aims to manipulate network connectivity by changing its underlying topology, is a fundamental task behind a wealth of high-impact data mining applications, ranging from immunization, critical infrastructure construction, social collaboration mining, bioinformatics analysis, to intelligent transportation system design. To tackle its exponential computation complexity, greedy algorithms have been extensively used for network connectivity optimization by exploiting its diminishing returns property. Despite the empirical success, two key challenges largely remain open. First, on the theoretic side, the hardness, as well as the approximability of the general network connectivity optimization problem are still nascent except for a few special instances. Second, on the algorithmic side, current algorithms are often hard to balance between the optimization quality and the computational efficiency. In this paper, we systematically address these two challenges for the network connectivity optimization problem. First, we reveal some fundamental limits by proving that, for a wide range of network connectivity optimization problems, (1) they are NP-hard and (2) (1 − 1/e) is the optimal approximation ratio for any polynomial algorithms. Second, we propose an effective, scalable and general algorithm (CONTAIN) to carefully balance the optimization quality and the computational efficiency.
关 键 词: 网络连接优化; 基本限制和有效算法; 可扩展的通用算法; 利用其递减收益特性
课程来源: 视频讲座网
数据采集: 2023-03-23:cyh
最后编审: 2023-03-27:cyh
阅读次数: 26