메뉴 건너뛰기




Volumn , Issue , 2009, Pages 215-224

A fast and efficient algorithm for low-rank approximation of a matrix

Author keywords

Algorithms; Theory

Indexed keywords

ADAPTIVE SAMPLING; APPROXIMATION PROCESS; APPROXIMATION SOLUTION; EFFICIENT ALGORITHM; ERROR APPROXIMATIONS; FAST IMPLEMENTATION; FROBENIUS NORM; HADAMARD; HIGH PROBABILITY; LEAST SQUARE APPROXIMATIONS; LOW RANK APPROXIMATIONS; LOW-RANK MATRICES; MATRIX; N-MATRIX; ORTHONORMAL; PRE-PROCESSING STEP; SPECTRAL NORMS; THEORY;

EID: 70350672596     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1536414.1536446     Document Type: Conference Paper
Times cited : (56)

References (20)
  • 1
    • 33751075906 scopus 로고    scopus 로고
    • Fast monte carlo algorithms for matrices ii: Computing a low-rank approximation to a matrix
    • P. Drineas, R. Kanna, and M. W. Mahoney, "Fast monte carlo algorithms for matrices ii: Computing a low-rank approximation to a matrix," SIAM Journal on Computing, vol. 36.
    • SIAM Journal on Computing , vol.36
    • Drineas, P.1    Kanna, R.2    Mahoney, M.W.3
  • 3
    • 20444476106 scopus 로고    scopus 로고
    • Fast monte-carlo algorithms for finding low-rank approximations
    • A. Frieze, R. Kannan, and S. Vempala, "Fast monte-carlo algorithms for finding low-rank approximations," Journal of the ACM, vol. 51.
    • Journal of the ACM , vol.51
    • Frieze, A.1    Kannan, R.2    Vempala, S.3
  • 4
    • 33750079844 scopus 로고    scopus 로고
    • Subspace sampling and relative error matrix approximation: Column-based methods
    • P. Drineas, M. W. Mahoney, and S. Muthukrishna, "Subspace sampling and relative error matrix approximation: Column-based methods," Proc. of APPROX-RANDOM, pp. 316-326, 2006.
    • (2006) Proc. of APPROX-RANDOM , pp. 316-326
    • Drineas, P.1    Mahoney, M.W.2    Muthukrishna, S.3
  • 5
    • 35348843307 scopus 로고    scopus 로고
    • Low rank matrix approximation in linear time
    • Manuscript
    • S. Har-Peled, "Low rank matrix approximation in linear time,"Manuscript.
    • Har-Peled, S.1
  • 7
    • 45849092005 scopus 로고    scopus 로고
    • Matrix approximation and projective clustering via volume sampling
    • A. Deshpande, L. Rademacher, S. Vempala, and G. Wang, "Matrix approximation and projective clustering via volume sampling," Theory of Computing, vol. 2, pp. 225 - 247, 2006.
    • (2006) Theory of Computing , vol.2 , pp. 225-247
    • Deshpande, A.1    Rademacher, L.2    Vempala, S.3    Wang, G.4
  • 12
    • 70350677591 scopus 로고    scopus 로고
    • Faster least square approximation
    • under review, SIAM Journal on Computing
    • P. Drineas, M. W. Mahoney, S. Muthukrishnan, and T. Sarlos, "Faster least square approximation," under review, SIAM Journal on Computing, 2008.
    • (2008)
    • Drineas, P.1    Mahoney, M.W.2    Muthukrishnan, S.3    Sarlos, T.4
  • 13
    • 51849152634 scopus 로고    scopus 로고
    • Fast dimension reduction using rademacher series on dual BCH codes
    • N. Ailon and E. Liberty, "Fast dimension reduction using rademacher series on dual BCH codes," Symposium on Discrete Algorithms (SODA), pp. 1-9, 2008.
    • (2008) Symposium on Discrete Algorithms (SODA) , pp. 1-9
    • Ailon, N.1    Liberty, E.2
  • 16
    • 0030489977 scopus 로고    scopus 로고
    • New concentration inequalities in product space
    • M. Talagrand, "New concentration inequalities in product space," Inventionnes Math, vol. 126, pp. 505-563, 1996.
    • (1996) Inventionnes Math , vol.126 , pp. 505-563
    • Talagrand, M.1
  • 18
    • 0035607466 scopus 로고    scopus 로고
    • Operator Khintchine inequality in non-commutative probability
    • A. Buchholz, "Operator Khintchine inequality in non-commutative probability," Math. Annalen, vol. 319, 2001.
    • (2001) Math. Annalen , vol.319
    • Buchholz, A.1
  • 19
    • 34547728320 scopus 로고    scopus 로고
    • Sampling from large matrices: An approach through geometric functional analysis
    • to appear in
    • M. Rudelson and R. Vershynin, "Sampling from large matrices: an approach through geometric functional analysis," to appear in Journal of the ACM.
    • Journal of the ACM
    • Rudelson, M.1    Vershynin, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.