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Volumn 63, Issue 7, 2015, Pages 1874-1889

Parallel selective algorithms for nonconvex big data optimization

Author keywords

distributed methods; Jacobi method; LASSO; Parallel optimization; sparse solution; variables selection

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; NUMERICAL METHODS;

EID: 84924692154     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2015.2399858     Document Type: Article
Times cited : (185)

References (41)
  • 3
    • 84880103760 scopus 로고    scopus 로고
    • Efficient block-coordinate descent algorithms for the group lasso
    • Jun.
    • Z. Qin, K. Scheinberg, and D. Goldfarb, "Efficient block-coordinate descent algorithms for the group lasso, " Math. Programm. Comput., vol. 5, pp. 143-169, Jun. 2013.
    • (2013) Math. Programm. Comput. , vol.5 , pp. 143-169
    • Qin, Z.1    Scheinberg, K.2    Goldfarb, D.3
  • 4
    • 79952039898 scopus 로고    scopus 로고
    • Surveying and comparing simultaneous sparse approximation (or group-lasso) algorithms
    • Jul.
    • A. Rakotomamonjy, "Surveying and comparing simultaneous sparse approximation (or group-lasso) algorithms, " Signal Process., vol. 91, no. 7, pp. 1505-1526, Jul. 2011.
    • (2011) Signal Process. , vol.91 , Issue.7 , pp. 1505-1526
    • Rakotomamonjy, A.1
  • 5
    • 79551500651 scopus 로고    scopus 로고
    • Acomparison of optimization methods and software for large-scale l1-regularized linear classification
    • G.-X.Yuan, K.-W.Chang, C.-J.Hsieh, andC.-J. Lin, "Acomparison of optimization methods and software for large-scale l1-regularized linear classification, " J. Mach. Learn. Res., vol. 11, pp. 3183-3234, 2010.
    • (2010) J. Mach. Learn. Res. , vol.11 , pp. 3183-3234
    • Yuan, G.-X.1    Chang, K.-W.2    Hsieh, C.-J.3    Lin, C.-J.4
  • 8
    • 84874622647 scopus 로고    scopus 로고
    • Efficient parallel coordinate descent algorithm for convex optimization problems with separable constraints: Application to distributed MPC
    • Mar.
    • I. Necoara and D. Clipici, "Efficient parallel coordinate descent algorithm for convex optimization problems with separable constraints: Application to distributed MPC, " J. Process Control, vol. 23, no. 3, pp. 243-253, Mar. 2013.
    • (2013) J. Process Control , vol.23 , Issue.3 , pp. 243-253
    • Necoara, I.1    Clipici, D.2
  • 9
    • 84879800501 scopus 로고    scopus 로고
    • Gradient methods for minimizing composite functions
    • Aug.
    • Y. Nesterov, "Gradient methods for minimizing composite functions, " Math. Programm., vol. 140, pp. 125-161, Aug. 2013.
    • (2013) Math. Programm. , vol.140 , pp. 125-161
    • Nesterov, Y.1
  • 10
    • 46749146509 scopus 로고    scopus 로고
    • A coordinate gradient descent method for nonsmooth separable minimization
    • Mar.
    • P. Tseng and S. Yun, "A coordinate gradient descent method for nonsmooth separable minimization, " Math. Programm., vol. 117, no. 1-2, pp. 387-423, Mar. 2009.
    • (2009) Math. Programm. , vol.117 , Issue.1-2 , pp. 387-423
    • Tseng, P.1    Yun, S.2
  • 11
    • 85014561619 scopus 로고    scopus 로고
    • A fast iterative shrinkage-thresholding algorithm for linear inverse problems
    • Jan.
    • A. Beck and M. Teboulle, "A fast iterative shrinkage-thresholding algorithm for linear inverse problems, " SIAM J. Imag. Sci., vol. 2, no. 1, pp. 183-202, Jan. 2009.
    • (2009) SIAM J. Imag. Sci. , vol.2 , Issue.1 , pp. 183-202
    • Beck, A.1    Teboulle, M.2
  • 12
    • 67650178787 scopus 로고    scopus 로고
    • Sparse reconstruction by separable approximation
    • Jul.
    • S. J. Wright, R. D. Nowak, and M. A. Figueiredo, "Sparse reconstruction by separable approximation, " IEEE Trans. Signal Process., vol. 57, no. 7, pp. 2479-2493, Jul. 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.7 , pp. 2479-2493
    • Wright, S.J.1    Nowak, R.D.2    Figueiredo, M.A.3
  • 14
    • 84880570485 scopus 로고    scopus 로고
    • A unified convergence analysis of block successive minimization methods for nonsmooth optimization
    • M. Razaviyayn, M. Hong, and Z.-Q. Luo, "A unified convergence analysis of block successive minimization methods for nonsmooth optimization, " SIAM J. Optim., vol. 23, no. 2, pp. 1126-1153, 2013.
    • (2013) SIAM J. Optim. , vol.23 , Issue.2 , pp. 1126-1153
    • Razaviyayn, M.1    Hong, M.2    Luo, Z.-Q.3
  • 18
    • 77956506829 scopus 로고    scopus 로고
    • Coordinate descent optimization for minimization with application to compressed sensing; A greedy algorithm
    • Y. Li and S. Osher, "Coordinate descent optimization for minimization with application to compressed sensing; a greedy algorithm, " Inverse Probl. Imag., vol. 3, no. 3, pp. 487-503, 2009.
    • (2009) Inverse Probl. Imag. , vol.3 , Issue.3 , pp. 487-503
    • Li, Y.1    Osher, S.2
  • 21
    • 84893409470 scopus 로고    scopus 로고
    • Decomposition by partial linearization: Parallel optimization of multi-agent systems
    • Feb.
    • G. Scutari, F. Facchinei, P. Song, D. Palomar, and J.-S. Pang, "Decomposition by partial linearization: Parallel optimization of multi-agent systems, " IEEE Trans. Signal Process., vol. 62, pp. 641-656, Feb. 2014.
    • (2014) IEEE Trans. Signal Process. , vol.62 , pp. 641-656
    • Scutari, G.1    Facchinei, F.2    Song, P.3    Palomar, D.4    Pang, J.-S.5
  • 22
    • 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. Optim., vol. 22, no. 2, pp. 341-362, 2012.
    • (2012) SIAM J. Optim. , vol.22 , Issue.2 , pp. 341-362
    • Nesterov, Y.1
  • 28
    • 33645035051 scopus 로고    scopus 로고
    • Model selection and estimation in regression with grouped variables
    • M.Yuan andY. Lin, "Model selection and estimation in regression with grouped variables, " J. Roy. Statist. Soc. Series B (Statist. Methodol.), vol. 68, no. 1, pp. 49-67, 2006.
    • (2006) J. Roy. Statist. Soc. Series B (Statist. Methodol.) , vol.68 , Issue.1 , pp. 49-67
    • Yuan, M.1    Lin, Y.2
  • 29
    • 0345327592 scopus 로고    scopus 로고
    • A simple and efficient algorithm for gene selection using sparse logistic regression
    • S. K. Shevade and S. S. Keerthi, "A simple and efficient algorithm for gene selection using sparse logistic regression, " Bioinformatics, vol. 19, no. 17, pp. 2246-2253, 2003.
    • (2003) Bioinformatics , vol.19 , Issue.17 , pp. 2246-2253
    • Shevade, S.K.1    Keerthi, S.S.2
  • 32
    • 84884671324 scopus 로고    scopus 로고
    • Fast alternating linearization methods for minimizing the sum of two convex functions
    • Oct.
    • D. Goldfarb, S. Ma, and K. Scheinberg, "Fast alternating linearization methods for minimizing the sum of two convex functions, " Math. Programm., vol. 141, pp. 349-382, Oct. 2013.
    • (2013) Math. Programm. , vol.141 , pp. 349-382
    • Goldfarb, D.1    Ma, S.2    Scheinberg, K.3
  • 34
    • 0032222093 scopus 로고    scopus 로고
    • Cost approximation: A unified framework of descent algorithms for nonlinear programs
    • M. Patriksson, "Cost approximation: A unified framework of descent algorithms for nonlinear programs, " SIAM J. Optim., vol. 8, no. 2, pp. 561-582, 1998.
    • (1998) SIAM J. Optim. , vol.8 , Issue.2 , pp. 561-582
    • Patriksson, M.1
  • 36
    • 0017957046 scopus 로고
    • Optimization by decomposition and coordination: A unified approach
    • Apr.
    • G. Cohen, "Optimization by decomposition and coordination: A unified approach, " IEEE Trans. Autom. Control, vol. 23, no. 2, pp. 222-232, Apr. 1978.
    • (1978) IEEE Trans. Autom. Control , vol.23 , Issue.2 , pp. 222-232
    • Cohen, G.1
  • 37
    • 34250257862 scopus 로고
    • Auxiliary problem principle and decomposition of optimization problems
    • Nov.
    • G. Cohen, "Auxiliary problem principle and decomposition of optimization problems, " J. Optim. Theory Appl., vol. 32, no. 3, pp. 277-305, Nov. 1980.
    • (1980) J. Optim. Theory Appl. , vol.32 , Issue.3 , pp. 277-305
    • Cohen, G.1
  • 38
    • 0019602085 scopus 로고
    • A generalized proximal point algorithm for certain non-convex minimization problems
    • M. Fukushima and H. Mine, "A generalized proximal point algorithm for certain non-convex minimization problems, " Int. J. Syst. Sci., vol. 12, no. 8, pp. 989-1000, 1981.
    • (1981) Int. J. Syst. Sci. , vol.12 , Issue.8 , pp. 989-1000
    • Fukushima, M.1    Mine, H.2
  • 39
    • 0019515893 scopus 로고
    • A minimization method for the sum of a convex function and a continuously differentiable function
    • Jan.
    • H. Mine and M. Fukushima, "A minimization method for the sum of a convex function and a continuously differentiable function, " J. Optim. Theory Appl., vol. 33, no. 1, pp. 9-23, Jan. 1981.
    • (1981) J. Optim. Theory Appl. , vol.33 , Issue.1 , pp. 9-23
    • Mine, H.1    Fukushima, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.