近似算法 2

Approximation Algorithms Part II

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

巴黎高等师范学院

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  • 分类: 计算机
  • 平台: Coursera
  • 语言: 英语

关于此课程: 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

授课大纲

WEEK 1
Linear Programming Duality
This module does not study any specific combinatorial optimization problem. Instead, it introduces a central feature of linear programming, duality.

WEEK 2
Steiner Forest and Primal-Dual Approximation Algorithms
This module uses linear programming duality to design an algorithm for another basic problem, the Steiner forest problem.

WEEK 3
Facility Location and Primal-Dual Approximation Algorithms
This module continues teaching algorithmic applications of linear programming duality by applying it to another basic problem, the facility location problem.

WEEK 4
Maximum Cut and Semi-Definite Programming
We introduce a generalization of linear programming, semi-definite programming.This module uses semi-definite programming to design an approximation algorithm for another basic problem, the maximum cut problem.

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