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Approximation Algorithms Part I
Course
en
English
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- Self-paced
- Free Access
- Fee-based Certificate
- 5 Sequences
- Introductive Level
Course details
Syllabus
- Week 1 - Vertex cover and Linear Programming
We introduce the course topic by a typical example of a basic problem, called Vertex Cover, for which we will design and analyze a state-of-the-art approximation algorithm using two basic techniques, called Linear Programming Relaxation and Rounding. It is a s... - Week 2 - Knapsack and Rounding
This module shows the power of rounding by using it to design a near-optimal solution to another basic problem: the Knapsack problem. - Week 3 - Bin Packing, Linear Programming and Rounding
This module shows the sophistication of rounding by using a clever variant for another basic problem: bin packing. (This is a more advanced module.) - Week 4 - Set Cover and Randomized Rounding
This module introduces a simple and powerful variant of rounding, based on probability: randomized rounding. Its power is applied to another basic problem, the Set Cover problem. - Week 5 - Multiway Cut and Randomized Rounding
This module deepens the understanding of randomized rounding by developing a sophisticated variant and applying it to another basic problem, the Multiway Cut problem. (This is a more advanced module.)
Prerequisite
None.
Instructors
Claire Mathieu
Editor
The École normale supérieure (ENS) is an elite higher education institution (graduate school) for advanced undergraduate and graduate studies, and a prestigious French research center. It encompasses fifteen teaching and research departments, spanning the main humanities, sciences and disciplines. Unique among France’s grandes écoles for its training in the humanities and sciences, the ENS prepares its students for their role as future leaders in every imaginable professional field: in research, media, public service and private industry.
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