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The Taiping Rebellion
The Taiping Rebellion. By: Joseph Randles. Overview. The Taiping Rebellion was a rebellion started by a fanatical religious sect of christianity lasting from 1850 to 1864 The fighting lead to an estimated 20 million soldier and civilian lives
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Sparse Recovery ( Using Sparse Matrices)
Sparse Recovery ( Using Sparse Matrices). Piotr Indyk MIT. Heavy Hitters. Also called frequent elements and elephants Define HH p φ ( x ) = { i : |x i | ≥ φ || x|| p } L p Heavy Hitter Problem: Parameters: φ and φ ’ (often φ ’ = φ - ε )
Sparse Recovery Using Sparse (Random) Matrices
Sparse Recovery Using Sparse (Random) Matrices. Piotr Indyk MIT. Joint work with: Radu Berinde, Anna Gilbert, Howard Karloff, Martin Strauss and Milan Ruzic. Ax. A. =. x. x. x*. k=2. Linear Compression (a.k.a. linear sketching, compressed sensing). Setup:
Sparse LA
Sparse LA. Sathish Vadhiyar. Motivation. Sparse computations much more challenging than dense due to complex data structures and memory references Many physical systems produce sparse matrices. Sparse Matrix-Vector Multiplication. Cache in GPUs.
Sparse Matrices
Sparse Matrices. sparse … many elements are zero dense … few elements are zero. Example Of Sparse Matrices. diagonal tridiagonal lower triangular (?) These are structured sparse matrices. May be mapped into a 1D array so that a mapping function can be used to locate an element.
Sparse Recovery Using Sparse (Random) Matrices
Sparse Recovery Using Sparse (Random) Matrices. Piotr Indyk MIT. Joint work with: Radu Berinde, Anna Gilbert, Howard Karloff, Martin Strauss and Milan Ruzic. Ax. A. =. x. x. x*. k=2. Linear Compression (a.k.a. linear sketching, compressed sensing). Setup:
Sparse Recovery Using Sparse (Random) Matrices
Sparse Recovery Using Sparse (Random) Matrices. Piotr Indyk MIT. Joint work with: Radu Berinde, Anna Gilbert, Howard Karloff, Martin Strauss and Milan Ruzic. Goal of this talk. “Stay awake until the end”. Ax. A. =. x. x. x*. k=2.
Sparse Matrices
Sparse Matrices. sparse … many elements are zero dense … few elements are zero. Example Of Sparse Matrices. diagonal tridiagonal lower triangular (?) These are structured sparse matrices. May be mapped into a 1D array so that a mapping function can be used to locate an element.
Sparse Representation
Sparse Representation. Shih-Hsiang Lin ( 林士翔 ). 1. T. N. Sainath , et al., “Bayesian Compressive Sensing for Phonetic Classification,” ICASSP 2010
Sparse Matrices
Sparse Matrices. Matrix table of values. 0 0 3 0 4 0 0 5 7 0 0 0 0 0 0 0 2 6 0 0. Row 2. Column 4. Sparse Matrices. Matrix table of values. 4 x 5 matrix 4 rows 5 columns 20 elements 6 nonzero elements. Sparse Matrices.
Sparse Matrices
Sparse Matrices. Matrix table of values. 0 0 3 0 4 0 0 5 7 0 0 0 0 0 0 0 2 6 0 0. Row 2. Column 4. Sparse Matrices. Matrix table of values. 4 x 5 matrix 4 rows 5 columns 20 elements 6 nonzero elements. Sparse Matrices.