Integer programming relaxation hierarchies.
The sum of squares system.
Algorithms employing such relaxations.
Lower bounds for sums of squares.
FDD3013 Sum of Squares and Integer Programming Relaxations 6.0 credits
Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus FDD3013 (Autumn 2014–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
Intended learning outcomes
On completion of the course, the students should be able to
- read conference papers within the field of the course
- present linear and positive semi-definite relaxations of linear programs and how these can be used in approximation algorithms
- show lower borders for the sum of squares system and present the limitations of the method.
Literature and preparations
Specific prerequisites
Knowledge in theoretical computer science corresponding to DD1352 Algorithms, data structures and complexity or DD2352 Algorithms and complexity is required.
Recommended prerequisites
No information inserted
Equipment
No information inserted
Literature
See description on the course web.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
P, F
Examination
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Other requirements for final grade
Pass the problem sets and lecture notes.
Opportunity to complete the requirements via supplementary examination
No information inserted
Opportunity to raise an approved grade via renewed examination
No information inserted
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Further information
Course room in Canvas
Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.
Offered by
Main field of study
This course does not belong to any Main field of study.
Education cycle
Third cycle
Add-on studies
No information inserted