PPT-Randomized Algorithms

CS648 Lecture 3 Two fundamental problems Balls into bins Randomized Quick Sort Random Variable and Expected value 1 Balls into BINS Calculating probability of some interesting events 2. 005 p0005 p0005 p0013 p0013 p0013 25 25 25 20 20 20 15 15 15 10 10 10 5 5 5 0 0 0 5 5 5 01 01 01 2345678 2345678 2345678 Change in UDysRS Score LS Mean SE Change in UDysRS Score LS Mean SE Change in UDysRS Score LS Mean SE Weeks Weeks Weeks Placeb Impact Evaluation Methods for Policy Makers. This material constitutes supporting material for the "Impact Evaluation in Practice" book. This additional material is made freely but please acknowledge its use as follows: . Dr. Kari Lock Morgan. Collecting Data: Randomized Experiments. SECTION 1.3. . Randomized Experiments. Exercise and the Brain. A study found that elderly people who walked at least a mile a day had significantly higher brain volume (gray matter related to reasoning) and significantly lower rates of Alzheimer’s and dementia compared to those who walked less. Michael Ben-Or. The Hebrew University. Michael Rabin’s Birthday Celebration. Randomized Protocols. Power of Randomization. Exponential . speedup for known algorithms. Complexity . – The jury is still out . CS648. . Lecture 6. Reviewing the last 3 lectures. Application of Fingerprinting Techniques. 1-dimensional Pattern matching. . Preparation for the next lecture.. . 1. Randomized Algorithms . discussed till now. 1. , Dragi Kocev. 2. , . Suzana Lo. skovska. 1. , . Sašo Džeroski. 2. 1. Faculty of Electrical Engineering and Information Technologies, Department of Computer Science, Skopje, Macedonia. . 2. . CS648. . Lecture 17. Miscellaneous applications of . Backward analysis. 1. Minimum spanning tree. 2. Minimum spanning tree. . 3. b. a. c. d. h. x. y. u. v. 18. 7. 1. 19. 22. 10. 3. 12. 3. 15. 11. 5. CS648. . Lecture . 25. Derandomization. using conditional expectation. A probability gem. 1. Derandomization. using . conditional expectation. 2. Problem 1. : Large cut in a graph. Problem:. Let . Quicksort. . [CLRS, kapitel 7]. Gerth Stølting Brodal. Sandsynligheden for at slå krone. 1/2. Quicksort:. Sorter . A. [. p. ... r. ]. Hoare, 1961. Worst-case tid . O(. n. 2. ). A. p. r. x. A. p. r. Data Collection: . Experiments and Observational Studies. 1/23/12. Association. versus Causation. Confounding Variables. Observational Studies . vs. Experiments. Randomized Experiments. Section 1.3. This material constitutes supporting material for the "Impact Evaluation in Practice" book. This additional material is made freely but please acknowledge its use as follows: . Gertler. , P. J.; Martinez, S., . James . Aspnes. , Yale. Keren Censor-Hillel, Technion. 1. Snapshot Objects. p. 1. p. 2. p. n. …. …. update(. v. ). scan. 2. update your location. r. ead all locations. Model. 3. System of . n. . Lower Bounds, and Pseudorandomness. Igor Carboni Oliveira. University of Oxford. Joint work with . Rahul Santhanam. (Oxford). 2. Minor algorithmic improvements imply lower bounds (Williams, 2010).. NEXP. What is an Experiment?. Campbell & Stanley stressed random assignment to experimental treatments.. I stress manipulation of the independent variable.. Quasi-Experiments: C&S’s term for research where.