PPT-Randomized Algorithms Part

3 William Cohen 1 Outline Randomized methods so far SGD with the hash trick Bloom filters countmin sketches Today Review and discussion More on countmin Morris counters locality sensitive hashing. Randomiza tion if done properly can keep study groups as similar as possible at the outset so that the investigators can isolate and quantify the effect of the interventions they are studying No other study design gives us the power to balance unkno 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: . Gertler. , P. J.; Martinez, S., . Premand. , P., Rawlings, L. B. and . Christel. M. J. . Vermeersch. , 2010, Impact Evaluation in Practice: Ancillary Material, The World Bank, Washington DC (www.worldbank.org/ieinpractice). The content of this presentation reflects the views of the authors and not necessarily those of the World Bank. . 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. 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 . Complexity of Voting Manipulation Revisited . b. ased on joint work with . Svetlana . Obraztsova. . (NTU/PDMI). and. . Noam . Hazon. . (CMU). Edith Elkind. . (Nanyang. Technological University, Singapore. 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. Wendy . Parulekar. MD, FRCP(C). Wei Tu PhD. Objectives. To review the classification of randomized phase II trial designs. To propose and critique potential  randomized phase II trials designs for a concept in head and neck cancer (case scenario to be presented).