Randomized Algorithms (summer term 2014)
The course is given by Dr. Sabine Storandt. It takes place every Monday and Wednesday from 10:15am until 11:45am in the Hörsaal 03-26 in building 51.
- Las Vegas & Monte Carlo Algorithms
- Applications for Randomized Algorithms and Data Structures
- Improving Deterministic Bounds via Randomization
- Randomization in Games and AI
- Randomized Online Algorithms
- Probabilistic Method
The complete script of the lecture (including some further references) is available in the course svn repository.
The final version (last change: 28.08.14) of the script can be viewed here.
The oral exam takes place at 26.08.2014.
Here is a list of example questions that are likely to be asked in the exam.
==> Monday, 04.08. at 16:15 and Monday, 25.08. at 10:15 (Hörsaal 03-26 in building 51). Please come prepared, i.e. read through the script before and tell me explicitly what is unclear or where you need additional explanations.
28.04. Introduction & Basic Stochastics notes
30.04. Las Vegas and Monte Carlo Algorithms: Analysis and Concentration Bounds, LV & MC for Max 3-SAT notes
2. Randomized Algorithms and Data Structures
05.05. k-Select, Approximative Median and Quick-Sort, Sorting Lower Bound notes
07.05. Sorting Lower Bounds continued, Deterministic & Randomized Skip-Listsnotes
12.05. Universal Hashingnotes
19.05. Fingerprinting and Further Hashing Applications, Introduction to Samplingnotes
21.05. VC-dimension of Set Systems & Epsilon-Nets notes
26.05. Exercise + Good Random Samples for Systems with Small VC-dimension and Epsilon-Nets notes
02.06. Good Hitting Set Approximations notes
04.06. Route Planning and Epsilon-Nets notes
3. Getting Beyond Deterministic Bounds via Randomization
18.06. The Closest Pair problemnotes
23.06. The Min Cut problemnotes
25.06. Sublinear Algorithmsnotes
4. Randomization in AI
02.07. Exercise (Min Cut ctd. and Long Path) + The Cow Path Problem notes
07.07. Robot Navigation in Unknown Terrain: Deterministic Algorithmsnotes
09.07. Robot Navigation in Unknown Terrain: Randomized Algorithmnotes
14.07. Robot Navigation ctd., Competitive Bidding, Exercise: Cows & Robotsnotes
5. Online Algorithms
6. Probabilistic Method
23.07. Lovasz Local Lemmanotes