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Volumn , Issue PART 1, 2013, Pages 80-88

Stochastic alternating direction method of multipliers

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; LEARNING ALGORITHMS; LEARNING SYSTEMS; STOCHASTIC SYSTEMS;

EID: 84891310987     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (254)

References (41)
  • 1
    • 41549101939 scopus 로고    scopus 로고
    • Model selection through sparse maximum likelihood estimation for multivariate Gaussian or binary data
    • Banerjee, O., Ghaoui, L. E., and d'Aspremont, A. Model selection through sparse maximum likelihood estimation for multivariate gaussian or binary data. Journal of Machine Learning Research, 9:485-516, 2008. (Pubitemid 351469014)
    • (2008) Journal of Machine Learning Research , vol.9 , pp. 485-516
    • Banerjee, O.1    El, G.L.2    D'Aspremont, A.3
  • 2
    • 85014561619 scopus 로고    scopus 로고
    • A fast iterative shrinkage-thresholding algorithm for linear inverse problems
    • Beck, A. and Teboulle, M. A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM J. Imaging Sci., 2(1):193-202, 2009.
    • (2009) SIAM J. Imaging Sci. , vol.2 , Issue.1 , pp. 193-202
    • Beck, A.1    Teboulle, M.2
  • 3
    • 80051762104 scopus 로고    scopus 로고
    • Distributed optimization and statistical learning via the alternating direction method of multipliers
    • Boyd, S., Parikh, N., Chu, E., Peleato, B., and Eckstein, J. Distributed optimization and statistical learning via the alternating direction method of multipliers. Foundations and Trends in Machine Learning, 3(1), 2010.
    • (2010) Foundations and Trends in Machine Learning , vol.3 , Issue.1
    • Boyd, S.1    Parikh, N.2    Chu, E.3    Peleato, B.4    Eckstein, J.5
  • 5
    • 30844438177 scopus 로고    scopus 로고
    • Signal recovery by proximal forward-backward splitting
    • Combettes, P. L. and Wajs, V. R. Signal recovery by proximal forward-backward splitting. Multiscale Model. Simul., 4(4):11681200, 2005.
    • (2005) Multiscale Model. Simul. , vol.4 , Issue.4 , pp. 11681200
    • Combettes, P.L.1    Wajs, V.R.2
  • 6
    • 7044231546 scopus 로고    scopus 로고
    • An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
    • Daubechies, I., Defrise, M., and Mol, C. De. An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Communications on Pure and Applied Mathematics, 57(11):14131457, 2004.
    • (2004) Communications on Pure and Applied Mathematics , vol.57 , Issue.11 , pp. 14131457
    • Daubechies, I.1    Defrise, M.2    De Mol, C.3
  • 7
    • 84878490420 scopus 로고    scopus 로고
    • On the global and linear convergence of the generalized alternating direction method of multipliers
    • Technical Report TR12-14
    • Deng, W. and Yin, W. On the global and linear convergence of the generalized alternating direction method of multipliers. Technical Report TR12-14, Rice University CAAM Technical Report, 2012.
    • (2012) Rice University CAAM Technical Report
    • Deng, W.1    Yin, W.2
  • 8
    • 75249102673 scopus 로고    scopus 로고
    • Efficient online and batch learning using forward backward splitting
    • Duchi, J. and Singer, Y. Efficient online and batch learning using forward backward splitting. JMLR, 10:2899-2934, 2009.
    • (2009) JMLR , vol.10 , pp. 2899-2934
    • Duchi, J.1    Singer, Y.2
  • 9
    • 0027113845 scopus 로고
    • On the douglas-rachford splitting method and the proximal point algorithm for maximal monotone operators
    • Eckstein, J. and Bertsekas, D. P. On the douglas-rachford splitting method and the proximal point algorithm for maximal monotone operators. Mathematical Programming, 55(1-3):293-318, 1992.
    • (1992) Mathematical Programming , vol.55 , Issue.1-3 , pp. 293-318
    • Eckstein, J.1    Bertsekas, D.P.2
  • 10
    • 45849134070 scopus 로고    scopus 로고
    • Sparse inverse covariance estimation with the graphical lasso
    • Friedman, J. and Tibshirani, R. Sparse inverse covariance estimation with the graphical lasso. Biostatistics, 9(3): 432-441, 2007.
    • (2007) Biostatistics , vol.9 , Issue.3 , pp. 432-441
    • Friedman, J.1    Tibshirani, R.2
  • 11
    • 77957064934 scopus 로고
    • Applications of the method of multipliers to variational inequalities
    • Fortin, M. and Glowinski, R. (eds.), North-Holland: Amsterdam
    • Gabay, D. Applications of the method of multipliers to variational inequalities. In Fortin, M. and Glowinski, R. (eds.), Augmented Lagrangian Methods: Applications to the Solution of Boundary-Value Problems. North-Holland: Amsterdam, 1983.
    • (1983) Augmented Lagrangian Methods: Applications to the Solution of Boundary-Value Problems
    • Gabay, D.1
  • 12
    • 0002211517 scopus 로고
    • A dual algorithm for the solution of nonlinear variational problems via finite element approximation
    • Gabay, D. and Mercier, B. A dual algorithm for the solution of nonlinear variational problems via finite element approximation. Computers & Mathematics with Applications, 2(1), 1976.
    • (1976) Computers & Mathematics with Applications , vol.2 , Issue.1
    • Gabay, D.1    Mercier, B.2
  • 13
    • 0016536442 scopus 로고
    • Sur lapproximation, par elements nis dordre un, et la resolution, par penalisation-dualite, dune classe de problems de dirichlet non lincares
    • Glowinski, R. and Marroco, A. Sur lapproximation, par elements nis dordre un, et la resolution, par penalisation-dualite, dune classe de problems de dirichlet non lincares. Revue Francaise dAutomatique, Informatique, et Recherche Operationelle, 9(2), 1975.
    • (1975) Revue Francaise DAutomatique, Informatique, et Recherche Operationelle , vol.9 , Issue.2
    • Glowinski, R.1    Marroco, A.2
  • 16
    • 84969334819 scopus 로고    scopus 로고
    • The split bregman method for l1-regularized problems
    • Goldstein, T. and Osher, S. The split bregman method for l1-regularized problems. SIAM J. Imaging Sci., 2(2):323-343, 2009.
    • (2009) SIAM J. Imaging Sci. , vol.2 , Issue.2 , pp. 323-343
    • Goldstein, T.1    Osher, S.2
  • 17
    • 84861398963 scopus 로고    scopus 로고
    • On the o(1/n) convergence rate of the douglas-rachford alternating direction method
    • He, B. and Yuan, X. On the o(1/n) convergence rate of the douglas-rachford alternating direction method. SIAM J. Numer. Anal., 50(2):700-709, 2012a.
    • (2012) SIAM J. Numer. Anal. , vol.50 , Issue.2 , pp. 700-709
    • He, B.1    Yuan, X.2
  • 20
    • 77956508892 scopus 로고    scopus 로고
    • Accelcrated gradient methods for stochastic optimization and online learning
    • Hu, Chonghai, Kwok, James T., and Pan, Weike. Accelcrated gradient methods for stochastic optimization and online learning. In NIPS 22, 2009.
    • (2009) NIPS 22
    • Hu, C.1    Kwok, J.T.2    Pan, W.3
  • 21
    • 66349089385 scopus 로고    scopus 로고
    • A multivariate regression approach to association analysis of a quantitative trait network
    • Kim, S., Sohn, K., and Xing, E. P. A multivariate regression approach to association analysis of a quantitative trait network. Bioinformatics, 25(12):204-212, 2009.
    • (2009) Bioinformatics , vol.25 , Issue.12 , pp. 204-212
    • Kim, S.1    Sohn, K.2    Xing, E.P.3
  • 23
    • 84862273593 scopus 로고    scopus 로고
    • An optimal method for stochastic composite optimization
    • doi: DOI10.1007/s10107-010-0434-y
    • Lan, G. An optimal method for stochastic composite optimization. Mathematical Programming, 2010. doi: DOI10.1007/s10107-010-0434-y.
    • (2010) Mathematical Programming
    • Lan, G.1
  • 24
    • 84867133375 scopus 로고    scopus 로고
    • Optimal stochastic approximation algorithms for strongly convex stochastic composite optimization, i: A generic algorithmic framework
    • Lan, G. and Ghadimi, S. Optimal stochastic approximation algorithms for strongly convex stochastic composite optimization, i: a generic algorithmic framework. SIAM J. on Optimization, 2011.
    • (2011) SIAM J. on Optimization
    • Lan, G.1    Ghadimi, S.2
  • 28
    • 70450197241 scopus 로고    scopus 로고
    • Robust stochastic approximation approach to stochastic programming
    • Nemirovski, A., Juditsky, A., Lan, G., and Shapiro, A. Robust stochastic approximation approach to stochastic programming. SIAM J. on Optimization, 19(4):1574-1609, 2009.
    • (2009) SIAM J. on Optimization , vol.19 , Issue.4 , pp. 1574-1609
    • Nemirovski, A.1    Juditsky, A.2    Lan, G.3    Shapiro, A.4
  • 31
    • 84894665814 scopus 로고    scopus 로고
    • Dual averaging and proximal gradient descent for online alternating direction multiplier method
    • Suzuki, Taiji. Dual averaging and proximal gradient descent for online alternating direction multiplier method. In Proceedings of ICML, 2013.
    • Proceedings of ICML, 2013
    • Suzuki, T.1
  • 33
    • 79954994522 scopus 로고    scopus 로고
    • The solution path of the generalized lasso
    • Tibshirani, R. J. and Taylor, J. The solution path of the generalized lasso. Annals of Statistics, 39(3):1335-1371, 2011.
    • (2011) Annals of Statistics , vol.39 , Issue.3 , pp. 1335-1371
    • Tibshirani, R.J.1    Taylor, J.2
  • 34
    • 70049111607 scopus 로고    scopus 로고
    • On accelerated proximal gradient methods for convex-concave optimization
    • Tseng, P. On accelerated proximal gradient methods for convex-concave optimization. SIAM J. Optim., 2008.
    • (2008) SIAM J. Optim.
    • Tseng, P.1
  • 38
    • 78649396336 scopus 로고    scopus 로고
    • Dual averaging methods for regularized stochastic learning and online optimization
    • Xiao, L. Dual averaging methods for regularized stochastic learning and online optimization. JMLR, 11:2543-2596, 2010.
    • (2010) JMLR , vol.11 , pp. 2543-2596
    • Xiao, L.1
  • 39
    • 84871450765 scopus 로고    scopus 로고
    • Linearized augmented lagrangian and alternating direction methods for nuclear norm minimization
    • Yang, J. and Yuan, X. Linearized augmented lagrangian and alternating direction methods for nuclear norm minimization. Mathematics of Computation, 2012. doi: http://dx.doi.org/10.1090/S0025-5718-2012-02598-1.
    • (2012) Mathematics of Computation
    • Yang, J.1    Yuan, X.2
  • 41
    • 78651419159 scopus 로고    scopus 로고
    • A unified primal-dual algorithm framework based on bregman iteration
    • Zhang, X., Burger, M., and Osher, S. A unified primal-dual algorithm framework based on bregman iteration. J. of Scientific Computing, 46(1):20-46, 2011.
    • (2011) J. of Scientific Computing , vol.46 , Issue.1 , pp. 20-46
    • Zhang, X.1    Burger, M.2    Osher, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.