PDF-Local Graph Partitioning using PageRank Vectors Reid Andersen University of Cali

In this paper we present an algorithm for local graph partitioning using personalized PageRank vectors We develop an improved algorithm for computing approximate PageRank vectors and derive a mixing result for PageRank vectors similar to that for ra. Graph Algorithms. Lin and Dyer’s Chapter 5. Issues in processing a graph in MR. Goal: start from a given node and label all the nodes in the graph so that we can determine the shortest distance. Representation of the graph (of course, generation of a synthetic graph). Isabelle Stanton, UC Berkeley. Gabriel . Kliot. , Microsoft Research XCG. Modern graph datasets are huge. The web graph had over a trillion links in 2011. Now?. . facebook. has “more than 901 million users with average degree 130”. Ashwin Rao . Karavadi, Rakesh . Parida. Microsoft IT. Data Partitioning. Why?. Split a table into manageable partitions. Improve data access performance. Simplify maintenance. Partitioned Views. Available since SQL Server 7.0. CS2HS Workshop. Google. Google’s . Pagerank. algorithm is a marvel in terms of its effectiveness and simplicity.. The first company whose initial success was entirely due to “discovery/invention” of a clever algorithm.. . . Hardware Software Definition. Definition. : Given an application, . hw. /. sw. partitioning maps each region of the application onto . either a hardware . (custom circuits) . Chris Kang. shinwook@uw.edu. University of Washington . NESSIS 2015. Motivation. Objective of a coach is to “win a hockey game” by:. Finding “chemistry” between players. Finding “balance” among the lines (allocating appropriate Time on Ice). Query-independent LAR. Have an a-priori ordering of the web pages. Q. : Set of pages that contain the keywords in the query . q. Present the pages in . Q. ordered according to order . π. What are the advantages of such an approach?. Hubs and Authorities (HITS). Combatting Web Spam. Dealing with Non-Main-Memory Web Graphs. Jeffrey D. Ullman. Stanford University. HITS. Hubs. Authorities. Solving the Implied Recursion. 3. Hubs and . Ashish Goel. Joint work with Peter Lofgren; Sid Banerjee; C . Seshadhri. 1. Personalized PageRank. 2. Assume a directed graph with . n. nodes and . m. edges. Motivation: Personalized Search. . 3. Motivation: Personalized Search. Search Engines And Ranking Algorithms. “The first-ever World Wide Web site went online in 1991, although this doesn’t seem that long ago, it is hard to imagine the world before Sir Tim Berners-Lee’s invention. In many ways, the colossal impact of the World Wide Web is obvious. Many people, however, may not fully appreciate the underlying technical contributions that make the Web possible. Sir Tim Berners-Lee not only developed the key components, such as URIs and web browsers that allow us to use the Web, but offered a coherent vision of how each of these elements would work together as part of an integrated whole.”. Any vector can be resized by multiplying it by a real number (scalar).. Multiplying by positive scalar changes magnitude only.. Multiplying by a negative scalar changes the magnitude and its direction.. Graph Algorithms Adapted from UMD Jimmy Lin’s slides, which is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States. See http://creativecommons.org/licenses/by-nc-sa/3.0/us/ for Big Data Infrastructure Week 5: Analyzing Graphs (2/ 2) This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States See http://creativecommons.org/licenses/by-nc-sa/3.0/us/ for details Cali at a GlanceSantiago de Cali is the capital city of Colombias Valle del Cauca region Its population totals around 24 million inhabitants making Cali the third-largest city in the nation It is the