Differences between revisions 16 and 103 (spanning 87 versions)

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.

Topics

- 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

Script

The complete script of the lecture (including further references) will be made available in the course svn repository.

The current version (last change: 08.07.14) of the script can be viewed here.

(The list of contents may still change during the course of the lecture.)

Exam

The oral exam takes place at 26.08.2014.

Question Time

==> 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.

Dates

1. Preliminaries

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
14.05. Exercise. Focus: Deterministic & Randomized Sorting notes example code
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
16.06. Exercise. Focus: Hitting Sets for Road Networksnotes example code

3. Getting Beyond Deterministic Bounds via Randomization

18.06. The Closest Pair problemnotes
23.06. The Min Cut problemnotes
25.06. Sublinear Algorithmsnotes
30.06. Long Path problems + Exercise (Min Cut and Connected Components)notes example code connected components example code min cut

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

16.07. The Paging problem notes
21.07. Renting Skies and Buying a Bahn Card notes

6. Probabilistic Method

23.07. Lovasz Local Lemmanotes

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-The course is given by [[http://ad.informatik.uni-freiburg.de/staff/storandt|Dr. Sabine Storandt]]. It takes place every Monday and Wednesday from 10:15am until 11:45am in the Hörsaal HS036 in building 101. Exercises will be bi-weekly, starting at 30.04.2014.
+The course is given by [[http://ad.informatik.uni-freiburg.de/staff/storandt|Dr. Sabine Storandt]]. It takes place every Monday and Wednesday from 10:15am until 11:45am in the Hörsaal 03-26 in building 51.
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+The current version (last change: 08.07.14) of the script can be viewed [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/script.pdf|here.]] 

(The list of contents may still change during the course of the lecture.)


'''Exam'''

The oral exam takes place at 26.08.2014. 


'''Question Time'''

==> 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.
-Line 25:
+Line 43:
- * 28.04. ''Introduction & Basic Stochastics''
 * 30.04. 
 * 05.05.
 * 07.05.
 * 12.05.
 * 14.05. 
 * 19.05.
 * 21.05.
 * 26.05.
 * 28.05. 
 * 02.06.
 * 04.06.
 * 16.06.
 * 18.06. 
 * 23.06.
 * 25.06.
 * 30.06.
 * 02.07. 
 * 07.07.
 * 09.07.
 * 14.07.
 * 16.07. 
 * 21.07.
 * 23.07.
 * 28.07.
 * 30.07.
+. Preliminaries
 * 28.04. ''Introduction & Basic Stochastics'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture1.pdf|notes]]
 * 30.04. ''Las Vegas and Monte Carlo Algorithms: Analysis and Concentration Bounds, LV & MC for Max 3-SAT'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture2.pdf|notes]]
2. Randomized Algorithms and Data Structures
 * 05.05. ''k-Select, Approximative Median and Quick-Sort, Sorting Lower Bound'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture3.pdf|notes]]
 * 07.05. ''Sorting Lower Bounds continued, Deterministic & Randomized Skip-Lists''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture4.pdf|notes]]
 * 12.05. ''Universal Hashing''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture5.pdf|notes]]
 * 14.05. ''Exercise. Focus: Deterministic & Randomized Sorting'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture6.pdf|notes]][[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Code/sort|example code]]
 * 19.05. ''Fingerprinting and Further Hashing Applications, Introduction to Sampling''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture7.pdf|notes]]
 * 21.05. ''VC-dimension of Set Systems & Epsilon-Nets'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture8.pdf|notes]]
 * 26.05. ''Exercise + Good Random Samples for Systems with Small VC-dimension and Epsilon-Nets'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture9.pdf|notes]]
 * 02.06. ''Good Hitting Set Approximations'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture10.pdf|notes]]
 * 04.06. ''Route Planning and Epsilon-Nets'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture11.pdf|notes]]
 * 16.06. ''Exercise. Focus: Hitting Sets for Road Networks''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture12.pdf|notes]][[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Code/hit|example code]]
3. Getting Beyond Deterministic Bounds via Randomization
 * 18.06. ''The Closest Pair problem''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture13.pdf|notes]]
 * 23.06. ''The Min Cut problem''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture14.pdf|notes]]
 * 25.06.  ''Sublinear Algorithms''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture15.pdf|notes]]
 * 30.06. ''Long Path problems + Exercise (Min Cut and Connected Components)''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture16.pdf|notes]][[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Code/cc|example code connected components]][[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Code/mincut|example code min cut]]
4. Randomization in AI
 * 02.07. ''Exercise (Min Cut ctd. and Long Path) + The Cow Path Problem'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture17.pdf|notes]]
 * 07.07. ''Robot Navigation in Unknown Terrain: Deterministic Algorithms''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture18.pdf|notes]]
 * 09.07. ''Robot Navigation in Unknown Terrain: Randomized Algorithm''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture19.pdf|notes]]
 * 14.07. ''Robot Navigation ctd., Competitive Bidding, Exercise: Cows & Robots''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture20.pdf|notes]]
5. Online Algorithms 
 * 16.07. ''The Paging problem'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture21.pdf|notes]]
 * 21.07. ''Renting Skies and Buying a Bahn Card'' [[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture22.pdf|notes]]
6. Probabilistic Method
 * 23.07. ''Lovasz Local Lemma''[[https://daphne.informatik.uni-freiburg.de/svn-public/RandomizedAlgorithmsSS2014/public/lectures/Lecture23.pdf|notes]]