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Volumn 58, Issue 10, 2010, Pages 5262-5276

Distributed sparse linear regression

Author keywords

Distributed linear regression; Lasso; parallel optimization; sparse estimation

Indexed keywords

CENTRAL PROCESSING UNITS; COGNITIVE RADIO; COMMUNICATION COST; CONTINUOUS VARIABLES; CONVERGENCE SPEED; DATA SETS; DISTRIBUTED LINEAR REGRESSION; DISTRIBUTED SCHEMES; ELASTIC NET; GLOBAL OPTIMALITY; INTER-AGENT COMMUNICATIONS; JOINT ESTIMATION; LASSO; LINEAR REGRESSION PROBLEMS; METHOD OF MULTIPLIERS; NOVEL ALGORITHM; NUMERICAL EXPERIMENTS; PARALLEL OPTIMIZATION; PARALLELIZATIONS; RADIO-FREQUENCY POWER; REGRESSION COEFFICIENT; SPARSE ESTIMATION; THRESHOLDING; TRAINING DATA; TRAINING SETS; UNDER-DETERMINED; WIRELESS COMMUNICATIONS;

EID: 77956773514     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2010.2055862     Document Type: Article
Times cited : (491)

References (40)
  • 3
    • 77953866473 scopus 로고    scopus 로고
    • Distributed spectrum sensing for cognitive radio networks by exploiting sparsity
    • Mar.
    • J. A. Bazerque and G. B. Giannakis, "Distributed spectrum sensing for cognitive radio networks by exploiting sparsity," IEEE Trans. Signal Process., vol.58, no.3, pp. 1847-1862, Mar. 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.3 , pp. 1847-1862
    • Bazerque, J.A.1    Giannakis, G.B.2
  • 6
    • 84874257732 scopus 로고
    • Better subset regression using the nonnegative garrote
    • Nov.
    • L. Breiman, "Better subset regression using the nonnegative garrote," Technometrics, vol.37, pp. 373-384, Nov. 1995.
    • (1995) Technometrics , vol.37 , pp. 373-384
    • Breiman, L.1
  • 11
    • 1542784498 scopus 로고    scopus 로고
    • Variable selection via nonconcave penalized likelihood and its oracle properties
    • J. Fan and R. Li, "Variable selection via nonconcave penalized likelihood and its oracle properties," J. Amer. Stat. Assoc., vol.96, pp. 1348-1360, 2001.
    • (2001) J. Amer. Stat. Assoc. , vol.96 , pp. 1348-1360
    • Fan, J.1    Li, R.2
  • 12
    • 77953526250 scopus 로고    scopus 로고
    • Consensus-based distributed support vector machines
    • May
    • P. A. Forero, A. Cano, and G. B. Giannakis, "Consensus-based distributed support vector machines," J. Mach. Learn. Res., vol.11, pp. 1663-1707, May 2010.
    • (2010) J. Mach. Learn. Res. , vol.11 , pp. 1663-1707
    • Forero, P.A.1    Cano, A.2    Giannakis, G.B.3
  • 14
    • 77950537175 scopus 로고    scopus 로고
    • Regularized paths for generalized linear models via coordinate descent
    • J. Friedman, T. Hastie, and R. Tibshirani, "Regularized paths for generalized linear models via coordinate descent," J. Stat. Softw., vol.33, 2010.
    • (2010) J. Stat. Softw. , vol.33
    • Friedman, J.1    Hastie, T.2    Tibshirani, R.3
  • 15
    • 0002211517 scopus 로고
    • A dual algorithm for the solution of nonlinear variational problems via finite-element approximations
    • D. Gabay and B. Mercier, "A dual algorithm for the solution of nonlinear variational problems via finite-element approximations," Comput. Math. Appl., vol.2, pp. 17-40, 1976.
    • (1976) Comput. Math. Appl. , vol.2 , pp. 17-40
    • Gabay, D.1    Mercier, B.2
  • 16
    • 0016536442 scopus 로고
    • Sur l'approximation, paréléments finis d'orde un, et la résolution par pénalisation-dualité d'une classe de problèmes de Dirichlet non-linéaires," (in French)
    • R. Glowinski and A. Marrocco, "Sur l'approximation, paréléments finis d'orde un, et la résolution par pénalisation-dualité d'une classe de problèmes de Dirichlet non-linéaires," (in French) Rev. Francaise d'Aut. Inf. Rech. Oper., vol.2, pp. 41-76, 1975.
    • (1975) Rev. Francaise d'Aut. Inf. Rech. Oper. , vol.2 , pp. 41-76
    • Glowinski, R.1    Marrocco, A.2
  • 17
    • 84969334819 scopus 로고    scopus 로고
    • The split bregman method for L1 regularized problems
    • T. Goldstein and S. Osher, "The split bregman method for L1 regularized problems," SIAM J. Imag. Sci., vol.2, pp. 323-343, 2009.
    • (2009) SIAM J. Imag. Sci. , vol.2 , pp. 323-343
    • Goldstein, T.1    Osher, S.2
  • 20
    • 0038548185 scopus 로고    scopus 로고
    • Coordination of groups of mobile autonomous agents using nearest neighbor rules
    • A. Jadbabaie and S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom, Control, vol.48, no.6, pp. 988-1001, 2003.
    • (2003) IEEE Trans. Autom, Control , vol.48 , Issue.6 , pp. 988-1001
    • Jadbabaie, A.1    Morse, S.2
  • 21
    • 0036342213 scopus 로고    scopus 로고
    • Incremental subgradient methods for nondifferentiable optimization
    • Jan.
    • A. Nedic and D. P. Bertsekas, "Incremental subgradient methods for nondifferentiable optimization," SIAM J. Optim., vol.12, pp. 109-138, Jan. 2001.
    • (2001) SIAM J. Optim. , vol.12 , pp. 109-138
    • Nedic, A.1    Bertsekas, D.P.2
  • 22
    • 59649103668 scopus 로고    scopus 로고
    • Distributed subgradient methods for multiagent optimization
    • Jan.
    • A. Nedic and A. Ozdaglar, "Distributed subgradient methods for multiagent optimization," IEEE Trans. Autom. Control, vol.54, no.1, pp. 48-61, Jan. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.1 , pp. 48-61
    • Nedic, A.1    Ozdaglar, A.2
  • 23
    • 64149119332 scopus 로고    scopus 로고
    • Consensus and cooperation in networked multi-agent systems
    • Jan.
    • R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol.95, pp. 215-233, Jan. 2007.
    • (2007) Proc. IEEE , vol.95 , pp. 215-233
    • Olfati-Saber, R.1    Fax, J.A.2    Murray, R.M.3
  • 24
    • 64249136579 scopus 로고    scopus 로고
    • A collaborative training algorithm for distributed learning
    • Apr.
    • J. B. Predd, S. R. Kulkarni, and H. V. Poor, "A collaborative training algorithm for distributed learning," IEEE Trans. Inf. Theory, vol.55, no.4, pp. 1856-1871, Apr. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.4 , pp. 1856-1871
    • Predd, J.B.1    Kulkarni, S.R.2    Poor, H.V.3
  • 25
    • 17144419228 scopus 로고    scopus 로고
    • Quantized incremental algorithms for distributed optimization
    • M. G. Rabbat and R. D. Nowak, "Quantized incremental algorithms for distributed optimization," IEEE J. Sel. Areas Commun., vol.23, no.4, pp. 798-808, 2005.
    • (2005) IEEE J. Sel. Areas Commun. , vol.23 , Issue.4 , pp. 798-808
    • Rabbat, M.G.1    Nowak, R.D.2
  • 29
    • 37749015518 scopus 로고    scopus 로고
    • Consensus in ad hoc WSNs with noisy links-Part I: Distributed estimation of deterministic signals
    • Jan.
    • I. D. Schizas, A. Ribeiro, and G. B. Giannakis, "Consensus in ad hoc WSNs with noisy links-Part I: Distributed estimation of deterministic signals," IEEE Trans. Signal Process., vol.56, no.1, pp. 350-364, Jan. 2008.
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.1 , pp. 350-364
    • Schizas, I.D.1    Ribeiro, A.2    Giannakis, G.B.3
  • 30
    • 38049108135 scopus 로고    scopus 로고
    • Fast optimization methods for L1 regularization: A comparative study and two new approaches
    • Warsaw, Poland
    • M. Schmidt, G. Fung, and R. Rosales, "Fast optimization methods for L1 regularization: A comparative study and two new approaches," in Proc. Euro. Conf. Machine Learning, Warsaw, Poland, 2007, pp. 286-297.
    • (2007) Proc. Euro. Conf. Machine Learning , pp. 286-297
    • Schmidt, M.1    Fung, G.2    Rosales, R.3
  • 31
    • 0024599612 scopus 로고
    • Prostate specific antigen in the diagnosis and treatment of adenocarcinoma of prostate ii radical prostatectomy treated patients
    • T. Stamey, J. Kabalin, I. Johnstone, F. Freiha, E. Redwine, and N.Yang, "Prostate specific antigen in the diagnosis and treatment of adenocarcinoma of prostate ii radical prostatectomy treated patients," J. Urology, vol.16, pp. 1076-1083, 1989.
    • (1989) J. Urology , vol.16 , pp. 1076-1083
    • Stamey, T.1    Kabalin, J.2    Johnstone, I.3    Freiha, F.4    Redwine, E.5    Yang, N.6
  • 32
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • R. Tibshirani, "Regression shrinkage and selection via the lasso," J. Roy. Stat. Soc. B, vol.58, pp. 267-288, 1996.
    • (1996) J. Roy. Stat. Soc. B , vol.58 , pp. 267-288
    • Tibshirani, R.1
  • 34
    • 0035533631 scopus 로고    scopus 로고
    • Convergence of block coordinate descent method for nondifferentiable maximization
    • P. Tseng, "Convergence of block coordinate descent method for nondifferentiable maximization," J. Optim. Theory Appl., vol.109, pp. 473-492, 2001.
    • (2001) J. Optim. Theory Appl. , vol.109 , pp. 473-492
    • Tseng, P.1
  • 35
    • 67650178787 scopus 로고    scopus 로고
    • Sparse reconstruction by separable approximation
    • Jul.
    • S. J. Wright, R. D. Nowak, and M. A. T. 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.T.3
  • 36
    • 84863879353 scopus 로고    scopus 로고
    • Coordinate descent algorithms for lasso penalized regression
    • T. Wu and K. Lange, "Coordinate descent algorithms for lasso penalized regression," Ann. Appl. Stat., vol.2, pp. 224-244, 2008.
    • (2008) Ann. Appl. Stat. , vol.2 , pp. 224-244
    • Wu, T.1    Lange, K.2
  • 37
    • 3142770678 scopus 로고    scopus 로고
    • Fast linear iterations for distributed averaging
    • Sep.
    • L. Xiao and S. Boyd, "Fast linear iterations for distributed averaging," Syst. Control Lett., vol.53, pp. 65-78, Sep. 2004.
    • (2004) Syst. Control Lett. , vol.53 , pp. 65-78
    • Xiao, L.1    Boyd, S.2
  • 38
    • 70349648102 scopus 로고    scopus 로고
    • Distributed in-network channel decoding
    • Oct.
    • H. Zhu, G. B. Giannakis, and A. Cano, "Distributed in-network channel decoding," IEEE Trans. Signal Process., vol.57, no.10, pp. 3970-3983, Oct. 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.10 , pp. 3970-3983
    • Zhu, H.1    Giannakis, G.B.2    Cano, A.3
  • 39
    • 33846114377 scopus 로고    scopus 로고
    • The adaptive lasso and its oracle properties
    • H. Zou, "The adaptive lasso and its oracle properties," J. Amer. Stat. Assoc., vol.101, pp. 1418-1429, 2006.
    • (2006) J. Amer. Stat. Assoc. , vol.101 , pp. 1418-1429
    • Zou, H.1
  • 40
    • 16244401458 scopus 로고    scopus 로고
    • Regularization and variable selection via the elastic net
    • H. Zou and T. Hastie, "Regularization and variable selection via the elastic net," J. Roy. Stat. Soc. B, vol.67, pp. 301-320, 2005.
    • (2005) J. Roy. Stat. Soc. B , vol.67 , pp. 301-320
    • Zou, H.1    Hastie, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.