Randomised Algorithms (RA)
Randomised algorithms are often far superior to their traditional deterministic counterparts, both in efficiency and simplicity. Many computational tasks are fundamentally impossible without randomisation. However, mastering randomised algorithms requires a basic mathematical understanding of the relevant combinatorial probability theory, and therefore a regular algorithms course will normally either skip them or teach them very superficially. Randomisation is a way of thinking, that needs a proper introduction. Applications in many areas will be considered, e.g., graph algorithms, machine learning, distributed computing, and geometry, but the focus will be on the general understanding, the goal being to give the students the foundation needed to understand and use randomisation, no matter what application area they may later be interested in.
MSc Programme in Bioinformatics
MSc Programme in Computer Science
The relevant combinatorial probability theory and randomised techniques in algorithms:
- Game-Theoretic Techniques
- Moments and Deviations
- Tail Inequalities
- The Probabilistic Method
- Randomised Data Structures
- Randomised Geometric Algorithms
- Randomised Graph Algorithms
- Randomised Distributed and Parallel Algorithms
- Proving bounds on the expected running time of randomised algorithms
- Explaining methods for bounding the probability that a random variable deviates far from its expectation
- Applying the probabilistic method to prove the existence of e.g. algorithms
- Giving simple and efficient algorithms and data structures using randomisation where more traditional deterministic approaches are more cumbersome or less efficient
- Reason about and apply randomised techniques to computational problems that the student may later encounter in life.
Lectures and compulsory assignments.
See Absalon for a list of course literature.
The students should enjoy mathematics, as the course uses the
mathematics to understand and prove good performance of algorithms. It
is assumed that the students have completed an algorithms course such
as Advanced Algorithms and Data Structures, and are comfortable using
mathematical proofs in the analysis of algorithms. In addition, some basic
knowledge of discrete probability theory is assumed, e.g. what is a discrete
random variable, what is expectation, etc.
Academic qualifications equivalent to a BSc degree is recommended.
PhD’s can register for MSc-course by following the same procedure as credit-students, see link above.
- 7,5 ECTS
- Type of assessment
Oral examination, 30 minutes (including grading)
- Type of assessment details
- The oral examination is with 30 minutes preparation,
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners
Criteria for exam assessment
See Learning Outcome.
Single subject courses (day)
- Theory exercises
- Course number
- 7,5 ECTS
- Programme level
- Full Degree Master
- Block 4
- No limit
The number of seats may be reduced in the late registration period
- Study Board of Mathematics and Computer Science
- Department of Computer Science
- Faculty of Science
- Jacob Holm (4-6d646b7243676c316e7831676e)
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Courseinformation of students