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Approximation Algorithms Part I

Approximation algorithms, Part I How efficiently can you pack objects into a minimum number of boxes? How well can you cluster nodes so as to cheaply separate a network into components around a few centers? These are examples of NP-hard combinatorial optimization problems. It is most likely impossible to solve such problems efficiently, so our aim is to give an approximate solution that can be computed in polynomial time and that at the same time has provable guarantees on its cost relative to the optimum. This course assumes knowledge of a standard undergraduate Algorithms course, and particularly emphasizes algorithms that can be designed using linear programming, a favorite and amazingly successful technique in this area. By taking 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 first of a two-part course on Approximation Algorithms.

Status: Theoretical Computer Science
Status: Mathematical Modeling
Course37 hours

Featured reviews

AK

5.0Reviewed Apr 16, 2016

A really good course for programmers who want to take a bit deeper into CS.

DA

5.0Reviewed Jan 26, 2016

The course provides a high-level introduction to approximation algorithm. There is no programming assignments but it provides nice introduction to approximation algorithm.

PP

5.0Reviewed Oct 27, 2021

course is good .But certificate is not available please reverify it once

SN

5.0Reviewed Jun 26, 2016

This was a relatively easy but well paced introduction to approximation algorithms. I totally enjoyed it.

VA

4.0Reviewed Jan 18, 2016

This course is quite advanced and the assignments require prerequisite skills to prove time complexity etc. If you are upto it, then for sure take this course. The instructor is quite thorough.

MG

5.0Reviewed Oct 25, 2021

Excellent Course Really helped me to have an in depth knowledge in every concept

YY

5.0Reviewed May 21, 2016

Great class, and Professor Claire Mathieu is doing an excellent job!

MH

5.0Reviewed May 28, 2020

A great course if you want to learn about approximation algorithms from the point of view of linear programming relaxation!

PS

4.0Reviewed Aug 6, 2016

Very interesting, explanations are clear and easy to understand

PU

4.0Reviewed May 31, 2017

The content of the course is good and the lectures even better. However the quizzes and homeworks could use an update or refresh. The forums connected to the course is a ghosttown.

KS

5.0Reviewed May 25, 2016

Excellent Course! I have learnt a lot about Approximation Algorithms in a short span of time.

BW

5.0Reviewed Sep 16, 2017

This course is awesome. Prof. managed to elaborate the problem and analysis clearly and homework is properly assigned.

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