About this Course
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Flexible deadlines

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Approx. 13 hours to complete

Suggested: 9 hours/week...

English

Subtitles: English
User
Learners taking this Course are
  • Researchers
  • Data Scientists
  • Machine Learning Engineers
  • Data Engineers
  • Software Engineers
User
Learners taking this Course are
  • Researchers
  • Data Scientists
  • Machine Learning Engineers
  • Data Engineers
  • Software Engineers

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Approx. 13 hours to complete

Suggested: 9 hours/week...

English

Subtitles: English

Syllabus - What you will learn from this course

Week
1
6 hours to complete

Linear Programming Duality

9 videos (Total 87 min), 11 readings, 9 quizzes
9 videos
Properties of LP duality6m
Geometry of LP duality10m
Proof of weak duality theorem6m
Changing the form of the LP10m
Complementary slackness5m
Primal-dual algorithms5m
Vertex cover by primal-dual23m
Conclusion3m
11 readings
Slides10m
Comment10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides-all10m
8 practice exercises
Quiz 16m
Quiz 22m
Quiz 32m
Quiz 44m
Quiz 54m
Quiz 64m
Quiz 72m
Quiz 84m
Week
2
5 hours to complete

Steiner Forest and Primal-Dual Approximation Algorithms

8 videos (Total 73 min), 9 readings, 9 quizzes
8 videos
A special case: Steiner tree12m
LP relaxation for Steiner forest6m
... and its dual4m
Primal-dual algorithm, Part110m
Primal-dual algorithm,Part 212m
Analysis13m
Proof of the main lemma9m
9 readings
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides-all10m
8 practice exercises
Quiz 16m
Quiz 24m
Quiz 34m
Quiz 44m
Quiz 54m
Quiz 66m
Quiz 74m
Quiz 86m
Week
3
5 hours to complete

Facility Location and Primal-Dual Approximation Algorithms

9 videos (Total 64 min), 10 readings, 9 quizzes
9 videos
A linear programming relaxation4m
...and its dual8m
A primal-dual algorithm7m
Analyzing the service cost7m
Analyzing the facility opening cost7m
A better algorithm11m
Analysis7m
Conclusion4m
10 readings
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides-all10m
8 practice exercises
Quiz 12m
Quiz 24m
Quiz 34m
Quiz 44m
Quiz 52m
Quiz 62m
Quiz 72m
Quiz 86m
Week
4
6 hours to complete

Maximum Cut and Semi-Definite Programming

11 videos (Total 76 min), 12 readings, 10 quizzes
11 videos
A 2-approximation5m
A linear programming relaxation...11m
...with an integrality gap of almost 210m
Proof of Lemma7m
A quadratic programming relaxation4m
General facts about semidefinite programming7m
A rounding algorithm7m
Analysis6m
General facts about MaxCut6m
The end!3m
12 readings
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Slides10m
Sldies10m
Slides10m
Slides-all10m
Comment10m
9 practice exercises
Quiz 14m
Quiz 24m
Quiz 32m
Quiz 42m
Quiz 54m
Quiz 62m
Quiz 72m
Quiz 82m
Quiz 92m
4.8
9 ReviewsChevron Right

Top reviews from Approximation Algorithms Part II

By RAMar 14th 2016

It is remarkable to note that Professor Claire Mathieu explains such a complex subject in such a elegant and understandable manner.

By APOct 28th 2016

Demanding course with lots of great algorithm concepts based on Linear Programming.

Instructor

About École normale supérieure

L’École normale supérieure (ENS) est un établissement d'enseignement supérieur pour les études prédoctorales et doctorales (graduate school) et un haut lieu de la recherche française. L'ENS offre à 300 nouveaux étudiants et 200 doctorants chaque année une formation de haut niveau, largement pluridisciplinaire, des humanités et sciences sociales aux sciences dures. Régulièrement distinguée au niveau international, l'ENS a formé 10 médailles Fields et 13 prix Nobel....

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

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