PPT-ACCELERATING SPARSE CHOLESKY FACTORIZATION ON GPUs

Author : ellena-manuel | Published Date : 2018-09-21

Dileep Mardham Introduction Sparse Direct Solvers is a fundamental tool in scientific computing Sparse factorization can be a challenge to accelerate using GPUs

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ACCELERATING SPARSE CHOLESKY FACTORIZATION ON GPUs: Transcript

Dileep Mardham Introduction Sparse Direct Solvers is a fundamental tool in scientific computing Sparse factorization can be a challenge to accelerate using GPUs GPUsGraphics Processing Units can be quite good for accelerating sparse direct solvers. The Cholesky factorization of allows us to e64259ciently solve the correction equations Bz This chapter explains the principles behind the factorization of sparse symmetric positive de64257nite matrices 1 The Cholesky Factorization We 64257rst show Such matrices has several attractive properties they support algorithms with low computational complexity and make it easy to perform in cremental updates to signals We discuss applications to several areas including compressive sensing data stream Raja . Giryes. ICASSP 2011. Volkan. Cevher. Agenda. The sparse approximation problem. Algorithms and pre-run guarantees. Online performance guarantees. Performance bound. Parameter selection. 2. Sparse approximation. J. Friedman, T. Hastie, R. . Tibshirani. Biostatistics, 2008. Presented by . Minhua. Chen. 1. Motivation. Mathematical Model. Mathematical Tools. Graphical LASSO. Related papers. 2. Outline. Motivation. LPAR 2008 . –. Doha, Qatar. Nikolaj . Bjørner. , . Leonardo de Moura. Microsoft Research. Bruno . Dutertre. SRI International. Satisfiability Modulo Theories (SMT). Accelerating lemma learning using joins. Aditya. Chopra and Prof. Brian L. Evans. Department of Electrical and Computer Engineering. The University of Texas at Austin. 1. Introduction. Finite Impulse Response (FIR) model of transmission media. Full storage:. . 2-dimensional array.. (nrows*ncols) memory.. 31. 0. 53. 0. 59. 0. 41. 26. 0. 31. 41. 59. 26. 53. 1. 3. 2. 3. 1. Sparse storage:. . Compressed storage by columns . (CSC).. Three 1-dimensional arrays.. T(A) . 1. 2. 3. 4. 6. 7. 8. 9. 5. 5. 9. 6. 7. 8. 1. 2. 3. 4. 1. 5. 2. 3. 4. 9. 6. 7. 8. A . 9. 1. 2. 3. 4. 6. 7. 8. 5. G(A) . Symmetric-pattern multifrontal factorization. T(A) . 1. 2. 3. 4. 6. 7. 8. Tianzhu . Zhang. 1,2. , . Adel Bibi. 1. , . Bernard Ghanem. 1. 1. 2. Circulant. Primal . Formulation. 3. Dual Formulation. Fourier Domain. Time . Domain. Here, the inverse Fourier transform is for each . Sabareesh Ganapathy. Manav Garg. Prasanna. . Venkatesh. Srinivasan. Convolutional Neural Network. State of the art in Image classification. Terminology – Feature Maps, Weights. Layers - Convolution, . Grayson Ishihara. Math 480. April 15, 2013. Topics at Hand. What is Partial Pivoting?. What is the PA=LU Factorization?. What kinds of things can we use these tools for?. Partial Pivoting. Used to solve matrix equations. Contents. Problem Statement. Motivation. Types . of . Algorithms. Sparse . Matrices. Methods to solve Sparse Matrices. Problem Statement. Problem Statement. The . solution . of . the linear system is the values of the unknown vector . 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 . Everyday Math Lesson 1.9. Lesson Objectives. I can tell the difference between powers of ten written as ten raised to an exponent. .. I can show powers of 10 using whole number exponents. . Mental Math.

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