PPT-1 Graph Analysis with

Node Differential Privacy Sofya Raskhodnikova Penn State University Joint work with Shiva Kasiviswanathan GE Research Kobbi Nissim BenGurion U and Harvard U. We call the tail of the head of and uv the ends of If there is an edge with tail and head then we let uv denote such an edge and we say that this edge is directed from to Loops Parallel Edges and Simple Digraphs An edge uv in a digraph is a 10 11 Graph Search Methods Many graph problems solved using a search method Path from one vertex to another Is the graph connected Find a spanning tree Etc Commonly used search methods Breadthfirst search Depthfirst search BreadthFirst Search Visit Simon Prince. s.prince@cs.ucl.ac.uk. Plan of Talk. Denoising. problem. Markov random fields (MRFs). Max-flow / min-cut. Binary MRFs (exact solution). Binary . Denoising. Before. After. Image represented as binary discrete variables. Some proportion of pixels randomly changed polarity.. Based on. http://www.cs.engr.uky.edu/~. lewis/cs-heuristic/text/integer/linprog.html. The . bipartite graph matching problem.  is to find a set of unconnected edges which cover as many of the vertices as possible. If we select the set of edges. Extremal graph theory. L. á. szl. ó. . Lov. á. sz. . Eötvös. . Lor. ánd. . University, Budapest . May 2012. 1. May 2012. 2. Recall some. . math. t. (. F. ,. G. ):. . Probability that random . Wei Wang. Department of Computer Science. Scalable Analytics Institute. UCLA. weiwang@cs.ucla.edu. Graphs/Networks. FFSM (ICDM03), SPIN (KDD04),. GDIndex. (ICDE07). MotifMining. (PSB04, RECOMB04, ProteinScience06, SSDBM07, BIBM08). L. á. szl. ó. . Lov. á. sz. . Eötvös. . Lor. ánd. . University, . Budapest. IAS, Princeton. . June 2011. 1. June 2011. Limit . theories. of . discrete. . structures. trees. graphs. digraphs. Outline. Graph and fuzzy graph. Characteristics of fuzzy relations. Types of fuzzy relations. Graph and fuzzy graph. Graph. Graph and fuzzy graph. Fuzzy graph. ~. V : . is fuzzy node. ~. Graph and fuzzy graph. Charles L. Cartledge. Michael L. Nelson. Old Dominion University. Department of Computer Science. Norfolk, VA 23529 USA. Why the problem is of interest. Picking apart the title. Preservation. Graph. Suitability. . social . and neural network data. Darren A. Narayan. Rochester Institute of Technology. Joint work with Roger Vargas, Williams College, Bradford Mahon and Frank Garcea, Rochester Center for Brain Imaging, University of Rochester. Single Case Designs. Wayne . Fisher, Tom Kratochwill . and Rob Horner. Design Standards for Single-case Research. Application Exercise for Design Standards. Independent variable is actively manipulated. Revisited . A paper by . Robert . Meusel. (University . of . Mannheim Germany), . Sebastiano . Vigna. (. Università . degli Studi di . Milano . Italy), . Oliver Lehmberg (University . of . Mannheim Germany) and . Dr. Lee M. Hively. Computational Sciences . and Engineering Division. Dr. . J. Todd . McDonald. School of Computing. Improving Seizure Forewarning using Graph Dissimilarity and Layout Analysis. Oak Ridge, Tennessee. Semi-Auto Vulnerability Research. Professional Vulnerability. Research. Finding bugs is not the problem . Fuzzing works . Microsoft found over 1800 bugs in Office 2010 . http://. blogs.technet.com/b/office2010/archive/2010/05/11/how-the-sdl-helped-improve-security-in-office-2010.aspx.