PPT-An Optimal Algorithm for Finding Heavy Hitters

David Woodruff IBM Almaden Based on works with Vladimir Braverman Stephen R Chestnut Nikita Ivkin Jelani Nelson and Zhengyu Wang Streaming Model Stream of elements a 1 a. Satisfiability. and Constraint Satisfaction Problems. by Carla P. Gomes, Bart Selman, . Nuno. . Crato. and . henry. . Kautz. Presented by . Yunho. Kim. Provable Software Lab, KAIST. Contents. Heavy-Tailed Phenomena in . Li . Tak. Sing(. 李德成. ). Lectures 20-22. 1. Section 4.3.3 Well-founded orders. Well-founded. A . poset. is said to be well-founded if every descending chain of elements is finite. In this case, the partial order is called a well-founded order.. Satisfiability. and Constraint Satisfaction Problems. by Carla P. Gomes, Bart Selman, . Nuno. . Crato. and . henry. . Kautz. Presented by . Yunho. Kim. Provable Software Lab, KAIST. Contents. Heavy-Tailed Phenomena in . Abhilasha Seth. CSCE 669. Replacement Paths. G = (V,E) - directed graph with positive edge weights. ‘s’, ‘t’ - specified vertices. π. (s, t) - shortest path between them. Replacement Paths:. Take My yoke upon you, and learn from Me, for I am gentle and humble in heart; and you shall find rest for your souls. . For My yoke is easy, and My load is light.. Matthew 11:28-30, NASB. “Come Unto Me”. Evaluation. . Sequential: runtime (execution time). . Ts. =T (. InputSize. ). . Parallel: runtime (. s. tart-->last PE ends). . Tp. =T (. InputSize,p,architecture. ). . Note: Cannot be Evaluated in Isolation from the Parallel architecture. Grigory. . Yaroslavtsev. http://grigory.us. Lecture . 3. : Streaming. Slides at . http://grigory.us/big-data-class.html. Count-Min Sketch. https. ://sites.google.com/site/countminsketch/. Stream: . elements from universe . By: Bill Walker. Naches Valley High School. Goal. .400 hitter. Expectations for the Players. Middle school to freshman. Freshman to JV. JV to Varsity. Varsity to All-league. All-league to All-State. All-State to college. Keith Dalbey, Ph.D.. Sandia National Labs, Dept 1441, Optimization and Uncertainty Quantification. Michael Levy, Ph.D.. Sandia National Labs, Dept 1442, Numerical Analysis and Applications. Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy’s National Nuclear Security Administration under Contract DE-AC04-94AL85000.. Greedy algorithms, coin changing problem. Haidong. . Xue. Summer 2012, at GSU. What is a greedy algorithm?. Greedy algorithm. : “an algorithm always makes the choice that looks best at the moment”. Vibhaalakshmi Sivaraman. Srinivas Narayana, Ori . RottenSTREICH. , MUTHU . MuthuKRSISHNAN. , JENNIFER REXFORD. 1. Heavy Hitter Flows. Flows above a certain threshold of total packets. “Top-. k. ” flows by size. Stream Estimation 1: Count-Min Sketch Contd.. Input data element enter one after another (i.e., in a stream ). Cannot store the entire stream accessibly How do you make critical calculations about the stream using a limited amount of memory? Why Social Graphs Are Different. Communities. Finding Triangles. Jeffrey D. Ullman. Stanford University/. Infolab. Social Graphs. Graphs can be either directed or undirected.. Example. : The Facebook “friends” graph (undirected).. Or how to be 1-competitive with any set of strategies. Slides courtesy of . Avrim. Blum . Plan. Online Algorithms. Game Theory. Using “expert” advice. We solicit . N. “experts” for their advice. (Will the market go up or down?).