PPT-Iterative LP and SOCP-based

approximations to semidefinite and sum of squares programs Georgina Hall Princeton University Joint work with Amir Ali Ahmadi Princeton University Sanjeeb Dash IBM Semidefinite programming definition . 00 57513 2003 IEEE Computer Iterative and Incremental Development A Brief History s agile methods become more popular some view iterative evolutionary and incremental software developmenta cornerstone of these methodsas the m 1 SOCP SUMATRANORANGUTANPROBLEMSTATEMENT StatementLocationMainObjectivesORANGUTANHAVENCONCEPTSTheVisitor,EducationEcologyCentresTheOrangutanIslandsWildlifeTradePromotingSustainableDevelopmentAddi Computations. K-means. Performance of K-Means. Smith Waterman is a non iterative case and of course runs fine. Matrix Multiplication . 64 cores. Square blocks Twister. Row/Col . decomp. Twister. Richard . Peng. Joint with Michael Cohen (MIT), . Rasmus. . Kyng. (Yale), . Jakub. . Pachocki. (CMU), and . Anup. . Rao. (Yale). MIT. CMU theory seminar, April 5, 2014. Random Sampling. Collection of many objects. Lecture 5: Software Development Models. Recap. Software development process model. . Waterfall model. . Advantages. . Disadvantages. . Usage. . Prototype model . . Advantages. . Disadvantages. fonts used in EMF. . Read the . TexPoint. manual before you delete this box.: . A. A. Sumit. . Gulwani. Microsoft Research, Redmond, USA. sumitg@microsoft.com. The . Fixpoint. Brush. in. The Art of Invariant Generation. V. Elia, E. Napoli. Department of . Chemical Sciences. Campus of Monte Sant’Angelo. Naples, Italy. “. If we knew what it was we were doing, it would not be called . research, . would . it?”. A. research progress. Last week : finalize dvc3D 1.0. Getting iterative method in dvc3D (in progress). Working on Candidacy plan. Past week. dvc3D 1.0 : . Getting it run inside Blender: can create joints, model object(done). Computations. K-means. Performance of K-Means. Smith Waterman is a non iterative case and of course runs fine. Matrix Multiplication . 64 cores. Square blocks Twister. Row/Col . decomp. Twister. for . certifying . polynomial . nonnegativity. Georgina Hall . Princeton University. Joint work with: . Amir Ali Ahmadi. (Princeton University). Sanjeeb. . Dash. (IBM). A polynomial . is nonnegative if . Goal is to solve the system . Can use direct or iterative methods. Direct Methods. LU Decomposition. QR Factorization. Iterative Methods (what we will use). Jacobi. Gauss-Seidel. Successive Over Relaxation(SOR). Define . Iterative Patterns. …. Iterative Patterns follow a specific . RULE. .. Examples of Iterative Patterns:. 2, 4, 6, 8, 10, …. 2, 4, 8, 16, 32, …. 96, 92, 88, 84, 80, …. 625, 125, 25, 5, …. Goal is to solve the system . Can use direct or iterative methods. Direct Methods. LU Decomposition. QR Factorization. Iterative Methods (what we will use). Jacobi. Gauss-Seidel. Successive Over Relaxation(SOR). M. Pawan Kumar. pawan.kumar@ecp.fr. Slides available online http://. cvn.ecp.fr. /personnel/. pawan. Recap. V. a. V. b. V. c. d. a. d. b. d. c. Label . l. 0. Label . l. 1. D. : Observed data (image).