PPT-Randomized Algorithms

CS648 Lecture 15 Randomized Incremental Construction building the background 1 Partition Theorem A set of events defined over a probability space P is said to induce a partition of . Inkulu httpwwwiitgacinrinkulu Closest Pair of Points 1 9 brPage 2br Problem Description Given a set of points in Euclidean plane 64257nd a closest pair of points we have seen a lg time algorithm using the divideandconquer paradigm herew 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. 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. 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 . CS648. . Lecture 4. Linearity of Expectation with applications. (Most important tool for analyzing randomized algorithms). 1. RECAP from the last lecture. 2. Random variable. Definition. :. . A random variable defined over a probability space (. Wrap-Up. William Cohen. Announcements. Quiz today!. Projects. there are no slots for 605 students free. if you want to do a project send me a 1-2 page proposal with your . cvs. . by Friday. and . . Authorized licensed use limited to: Univ of Texas at Dallas. Downloaded on December 2, 2009 at 22:08 from IEEE Xplore. Restrictions apply. possible instance problem, and would call that the (worst-c . Lecture 2. Randomized Algorithm for Approximate Median. Elementary Probability theory. 1. Randomized Monte Carlo . Algorithm for. . approximate median . 2. This lecture was delivered at slow pace and its flavor was that of a tutorial. . 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. Outline. Randomized methods. : today. SGD with the hash trick (recap). Bloom filters. Later:. count-min sketches. l. ocality sensitive hashing. THE Hash Trick: A Review. Hash Trick - Insights. Save memory: don’t store hash keys. 10 Bat Algorithms Xin-She Yang, Nature-Inspired Optimization Algorithms, Elsevier, 2014 The bat algorithm (BA) is a bio-inspired algorithm developed by Xin-She Yang in 2010. 10.1 Echolocation of Bats 3. William Cohen. 1. Outline. Randomized methods - so far. SGD with the hash trick. Bloom filters. count-min sketches. Today:. Review and discussion. More on count-min. Morris counters. locality sensitive hashing. 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).