Approximation Algorithms Part II

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École normale supérieure

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Approximation algorithms, Part 2 This is the continuation of Approximation algorithms, Part 1. Here you will learn linear programming duality applied to the design of some approximation algorithms, and semidefinite programming applied to Maxcut. By taking the two parts of this course, you will be exposed to a range of problems at the foundations of theoretical computer science, and to powerful design and analysis techniques. Upon completion, you will be able to recognize, when faced with a new combinatorial optimization problem, whether it is close to one of a few known basic problems, and will be able to design linear programming relaxations and use randomized rounding to attempt to solve your own problem. The course content and in particular the homework is of a theoretical nature without any programming assignments. This is the second of a two-part course on Approximation Algorithms.

近似算法第二部分:近似算法,第二部分 这是近似算法第1部分的继续。在这里,您将学习应用于某些近似算法设计的线性规划对偶性,以及应用于Maxcut的半定编程。 通过学习本课程的两部分,您将在理论计算机科学的基础上接触到一系列问题,并接触到强大的设计和分析技术。完成后,当面对新的组合优化问题时,您将能够识别它是否接近一些已知的基本问题,并且能够设计线性编程松弛并使用随机舍入来尝试解决您的问题。自己的问题。课程内容,尤其是家庭作业,具有理论性质,无需进行任何编程作业。 这是关于近似算法的两部分课程的第二部分。

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