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随机参数化算法的技术

Randomized techniques for parameterized algorithms
课程网址: http://videolectures.net/algo2012_marx_parameterized_algorithms/  
主讲教师: Dániel Marx
开课单位: 匈牙利科学院
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:
自从1994年Alon、Yuster和Zwick引入颜色编码技术以来,随机化已经成为证明固定参数可跟踪结果的工具包的一部分。似乎随机化非常适合参数化算法:如果k大小的任务是找到一个解决方案,只有那些随机选择需要直接相关解决方案是正确的,那么通常可以绑定错误概率函数的k。演讲概述通过各种具体的例子如何随机出现在固定参数易处理的结果。我们认为,在许多情况下,随机化是以约简的形式出现的:它使我们能够将我们试图解决的问题简化为一个更简单、更结构化的问题。
课程简介: Since the introduction of the Color Coding technique in 1994 by Alon, Yuster, and Zwick, randomization has been part of the toolkit for proving fixed-parameter tractability results. It seems that randomization is very well suited to parameterized algorithms: if the task is to find a solution of size k and only those random choices need to be correct that are directly related to the solution, then typically we can bound the error probability by a function of k. The talk will overview through various concrete examples how randomization appears in fixed-parameter tractability results. We argue that in many cases randomization appears in form of a reduction: it allows us to reduce the problem we are trying to solve to an easier and more structured problem.
关 键 词: 随机参数化; 算法; 技术
课程来源: 视频讲座网
最后编审: 2019-10-30:cwx
阅读次数: 30