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Volumn 2, Issue January, 2014, Pages 1017-1025

Stochastic gradient descent, weighted sampling, and the randomized Kaczmarz algorithm

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; INFORMATION SCIENCE; STOCHASTIC SYSTEMS;

EID: 84937892482     PISSN: 10495258     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (366)

References (22)
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    • On the acceleration of kaczmarz's method for inconsistent linear systems
    • M. Hanke and W. Niethammer. On the acceleration of Kaczmarz's method for inconsistent linear systems. Linear Algebra and its Applications, 130: 83-98, 1990.
    • (1990) Linear Algebra and its Applications , vol.130 , pp. 83-98
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    • Computerized transverse axial scanning (tomography): Part 1. Description of system
    • G. N. Hounsfield. Computerized transverse axial scanning (tomography): Part 1. description of system. British Journal of Radiology, 46(552): 1016-1022, 1973.
    • (1973) British Journal of Radiology , vol.46 , Issue.552 , pp. 1016-1022
    • Hounsfield, G.N.1
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    • 0001554939 scopus 로고
    • Angenäherte auflösung von systemen linearer gleichungen
    • S. Kaczmarz. Angenäherte auflösung von systemen linearer gleichungen. Bull. Int. Acad. Polon. Sci. Lett. Ser. A, pages 335-357, 1937.
    • (1937) Bull. Int. Acad. Polon. Sci. Lett. Ser. A , pp. 335-357
    • Kaczmarz, S.1
  • 9
    • 0004230519 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA Reprint of the 1986 original
    • F. Natterer. The mathematics of computerized tomography, Volume 32 of Classics in Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2001. ISBN 0-89871-493-1. doi: 10.1137/1.9780898719284. URL http://dx.doi.org/10.1137/1.9780898719284. Reprint of the 1986 original.
    • (2001) The Mathematics of Computerized Tomography, Volume 32 of Classics in Applied Mathematics
    • Natterer, F.1
  • 10
    • 77952012306 scopus 로고    scopus 로고
    • Randomized kaczmarz solver for noisy linear systems
    • D. Needell. Randomized Kaczmarz solver for noisy linear systems. BIT, 50 (2): 395-403, 2010. ISSN 0006-3835. doi: 10.1007/s10543-010-0265-5. URL http://dx.doi.org/10.1007/s10543-010-0265-5.
    • (2010) BIT , vol.50 , Issue.2 , pp. 395-403
    • Needell, D.1
  • 11
    • 84875385168 scopus 로고    scopus 로고
    • Two-subspace projection method for coherent overdetermined linear systems
    • D. Needell and R. Ward. Two-subspace projection method for coherent overdetermined linear systems. Journal of Fourier Analysis and Applications, 19(2): 256-269, 2013.
    • (2013) Journal of Fourier Analysis and Applications , vol.19 , Issue.2 , pp. 256-269
    • Needell, D.1    Ward, R.2
  • 14
    • 84865692149 scopus 로고    scopus 로고
    • Efficiency of coordinate descent methods on huge-scale optimization problems
    • Y. Nesterov. Efficiency of coordinate descent methods on huge-scale optimization problems. SIAM J. Optimiz., 22(2): 341-362, 2012.
    • (2012) SIAM J. Optimiz. , vol.22 , Issue.2 , pp. 341-362
    • Nesterov, Y.1
  • 15
    • 84897116612 scopus 로고    scopus 로고
    • Iteration complexity of randomized block-coordinate descent methods for minimizing a composite function
    • P. Richtárik and M. Takáč. Iteration complexity of randomized block-coordinate descent methods for minimizing a composite function. Math. Program., pages 1-38, 2012.
    • (2012) Math. Program. , pp. 1-38
    • Richtárik, P.1    Takáč, M.2
  • 17
    • 84875134236 scopus 로고    scopus 로고
    • Stochastic dual coordinate ascent methods for regularized loss
    • S. Shalev-Shwartz and T. Zhang. Stochastic dual coordinate ascent methods for regularized loss. J. Mach. Learn. Res., 14(1): 567-599, 2013.
    • (2013) J. Mach. Learn. Res. , vol.14 , Issue.1 , pp. 567-599
    • Shalev-Shwartz, S.1    Zhang, T.2
  • 19
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    • A randomized kaczmarz algorithm with exponential convergence
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    • (2009) J. Fourier Anal. Appl. , vol.15 , Issue.2 , pp. 262-278
    • Strohmer, T.1    Vershynin, R.2
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  • 21
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    • Two algorithms related to the method of steepest descent
    • T. M. Whitney and R. K. Meany. Two algorithms related to the method of steepest descent. SIAM Journal on Numerical Analysis, 4(1): 109-118, 1967.
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    • Whitney, T.M.1    Meany, R.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.