Approximation Algorithms Part II

Instructor: Claire Mathieu

Skills you'll gain

  •   Linear Algebra
  •   Theoretical Computer Science
  •   Probability
  •   Algorithms
  •   Mathematical Modeling
  •   Combinatorics
  •   Solution Design
  •   Operations Research
  • There are 4 modules in this course

    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.

    Steiner Forest and Primal-Dual Approximation Algorithms

    Facility Location and Primal-Dual Approximation Algorithms

    Maximum Cut and Semi-Definite Programming

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