메뉴 건너뛰기




Volumn , Issue , 2015, Pages 181-190

Uniform sampling for matrix approximation

Author keywords

Leverage scores; Matrix sampling; Randomized numerical linear algebra; Regression

Indexed keywords

APPROXIMATION ALGORITHMS; ITERATIVE METHODS; LINEAR ALGEBRA; REGRESSION ANALYSIS;

EID: 84922209704     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/2688073.2688113     Document Type: Conference Paper
Times cited : (210)

References (29)
  • 1
    • 77953821242 scopus 로고    scopus 로고
    • Blendenpik: Supercharging LAPACK's least-squares solver
    • H. Avron, P. Maymounkov, and S. Toledo. Blendenpik: Supercharging LAPACK's least-squares solver. SIAM J. Scientific Computing, 32(3):1217-1236, 2010.
    • (2010) SIAM J. Scientific Computing , vol.32 , Issue.3 , pp. 1217-1236
    • Avron, H.1    Maymounkov, P.2    Toledo, S.3
  • 2
  • 5
    • 79957617908 scopus 로고    scopus 로고
    • A fast randomized algorithm for orthogonal projection
    • E. S. Coakley, V. Rokhlin, and M. Tygert. A fast randomized algorithm for orthogonal projection. SIAM J. Scientific Computing, 33(2):849-868, 2011.
    • (2011) SIAM J. Scientific Computing , vol.33 , Issue.2 , pp. 849-868
    • Coakley, E.S.1    Rokhlin, V.2    Tygert, M.3
  • 7
    • 33751115359 scopus 로고    scopus 로고
    • Fast Monte Carlo algorithms for matrices I: Approximating matrix multiplication
    • Preliminary version in the 42nd Annual IEEE Symposium on Foundations of Computer Science (FOCS)
    • P. Drineas, R. Kannan, and M. W. Mahoney. Fast Monte Carlo algorithms for matrices I: Approximating matrix multiplication. SIAM J. Comput., 36(1):132-157, 2006. Preliminary version in the 42nd Annual IEEE Symposium on Foundations of Computer Science (FOCS).
    • (2006) SIAM J. Comput. , vol.36 , Issue.1 , pp. 132-157
    • Drineas, P.1    Kannan, R.2    Mahoney, M.W.3
  • 8
    • 33751075906 scopus 로고    scopus 로고
    • Fast Monte Carlo algorithms for matrices II: Computing a low-rank approximation to a matrix
    • P. Drineas, R. Kannan, and M. W. Mahoney. Fast Monte Carlo algorithms for matrices II: Computing a low-rank approximation to a matrix. SIAM J. Comput., 36(1):158-183, 2006.
    • (2006) SIAM J. Comput. , vol.36 , Issue.1 , pp. 158-183
    • Drineas, P.1    Kannan, R.2    Mahoney, M.W.3
  • 9
    • 33751097630 scopus 로고    scopus 로고
    • Fast Monte Carlo algorithms for matrices III: Computing a compressed approximate matrix decomposition
    • Preliminary version in the 14th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)
    • P. Drineas, R. Kannan, and M. W. Mahoney. Fast Monte Carlo algorithms for matrices III: Computing a compressed approximate matrix decomposition. SIAM J. Comput., 36(1):184-206, 2006. Preliminary version in the 14th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA).
    • (2006) SIAM J. Comput. , vol.36 , Issue.1 , pp. 184-206
    • Drineas, P.1    Kannan, R.2    Mahoney, M.W.3
  • 11
    • 84922147063 scopus 로고    scopus 로고
    • Effective resistances, statistical leverage, and applications to linear equation solving
    • abs/1005. 3097, 2010, arXiv:1005. 3097
    • P. Drineas and M. W. Mahoney. Effective resistances, statistical leverage, and applications to linear equation solving. Computing Research Repository (CoRR), abs/1005. 3097, 2010. arXiv:1005. 3097.
    • Computing Research Repository (CoRR)
    • Drineas, P.1    Mahoney, M.W.2
  • 14
    • 79960425522 scopus 로고    scopus 로고
    • Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
    • N. Halko, P. G. Martinsson, and J. A. Tropp. Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions. SIAM Review, 53(2):217-288, 2011.
    • (2011) SIAM Review , vol.53 , Issue.2 , pp. 217-288
    • Halko, N.1    Martinsson, P.G.2    Tropp, J.A.3
  • 21
    • 84899620211 scopus 로고    scopus 로고
    • LSRN: A parallel iterative solver for strongly over-or under-determined systems
    • X. Meng, M. A. Saunders, and M. W. Mahoney. LSRN: A parallel iterative solver for strongly over-or under-determined systems. SIAM J. Scientific Computing, 36(2), 2014.
    • (2014) SIAM J. Scientific Computing , vol.36 , Issue.2
    • Meng, X.1    Saunders, M.A.2    Mahoney, M.W.3
  • 22
    • 0008495637 scopus 로고
    • Generalized inversion of modified matrices
    • C. D. Meyer, Jr. Generalized inversion of modified matrices. SIAM J. Appl. Math, 24(3):315-323, 1973.
    • (1973) SIAM J. Appl. Math , vol.24 , Issue.3 , pp. 315-323
    • Meyer, C.D.1
  • 25
    • 51649090940 scopus 로고    scopus 로고
    • A fast randomized algorithm for overdetermined linear least-squares regression
    • V. Rokhlin and M. Tygert. A fast randomized algorithm for overdetermined linear least-squares regression. Proc. Natl. Acad. Sci. USA, 1005(36):13212-7, 2008.
    • (2008) Proc. Natl. Acad. Sci. USA , vol.1005 , Issue.36 , pp. 13212-13217
    • Rokhlin, V.1    Tygert, M.2
  • 27
    • 84855597147 scopus 로고    scopus 로고
    • Graph sparsification by effective resistances
    • Preliminary version in the 40th Annual ACM Symposium on Theory of Computing (STOC)
    • D. A. Spielman and N. Srivastava. Graph sparsification by effective resistances. SIAM Journal on Computing, 40(6):1913-1926, 2011. Preliminary version in the 40th Annual ACM Symposium on Theory of Computing (STOC).
    • (2011) SIAM Journal on Computing , vol.40 , Issue.6 , pp. 1913-1926
    • Spielman, D.A.1    Srivastava, N.2
  • 28
    • 84904339477 scopus 로고    scopus 로고
    • Nearly linear time algorithms for preconditioning and solving symmetric, diagonally dominant linear systems
    • Preliminary version in the 36th Annual ACM Symposium on Theory of Computing (STOC)
    • D. A. Spielman and S.-H. Teng. Nearly linear time algorithms for preconditioning and solving symmetric, diagonally dominant linear systems. SIAM Journal on Matrix Analysis and Applications, 35(3):835-885, 2014. Preliminary version in the 36th Annual ACM Symposium on Theory of Computing (STOC).
    • (2014) SIAM Journal on Matrix Analysis and Applications , vol.35 , Issue.3 , pp. 835-885
    • Spielman, D.A.1    Teng, S.-H.2
  • 29
    • 84864315555 scopus 로고    scopus 로고
    • User-friendly tail bounds for sums of random matrices
    • J. A. Tropp. User-friendly tail bounds for sums of random matrices. Foundations of Computational Mathematics, 12(4):389-434, 2012.
    • (2012) Foundations of Computational Mathematics , vol.12 , Issue.4 , pp. 389-434
    • Tropp, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.