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Volumn 19, Issue 4, 2008, Pages 1807-1827

Smooth optimization approach for sparse covariance selection

Author keywords

Nonsmooth strictly concave maximization; Smooth minimization; Sparse covariance selection

Indexed keywords

COMPUTATIONAL EXPERIMENT; CONVEX MINIMIZATION; CONVEX PROBLEMS; DESCENT METHOD; FIRST-ORDER; MATRIX; MAXIMIZATION PROBLEM; NON-SMOOTH; OBJECTIVE FUNCTIONS; OPTIMAL SOLUTIONS; OPTIMIZATION APPROACH; OPTIMIZATION TECHNIQUES; PENALIZED MAXIMUM-LIKELIHOOD ESTIMATION; PRIMAL AND DUAL PROBLEMS; SMOOTH APPROXIMATION;

EID: 70450200096     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/070695915     Document Type: Article
Times cited : (73)

References (25)
  • 1
    • 0000501656 scopus 로고
    • Information theory and an extension of the maximum likelihood principle
    • B. N. Petrov and F. Csaki, eds., Akedemiai Kiado, Budapest
    • J. AKAIKE, Information theory and an extension of the maximum likelihood principle, in Proceedings of the Second International Symposium on Information Theory, B. N. Petrov and F. Csaki, eds., Akedemiai Kiado, Budapest, 1973, pp. 267-281.
    • (1973) Proceedings of the Second International Symposium on Information Theory , pp. 267-281
    • Akaike, J.1
  • 2
    • 33747151859 scopus 로고    scopus 로고
    • Interior gradient and proximal methods for convex and conic optimization
    • A. AUSLENDER AND M. TEBOULLE, Interior gradient and proximal methods for convex and conic optimization, SIAM J. Optim., 16 (2006), pp. 697-725.
    • (2006) SIAM J. Optim. , vol.16 , pp. 697-725
    • Auslender, A.1    Teboulle, M.2
  • 5
    • 8744307994 scopus 로고    scopus 로고
    • Multimodel inference. Understanding AIC or BIC in model selection
    • K. P. BURNHAM AND R. D. ANDERSON, Multimodel inference. Understanding AIC or BIC in model selection, Sociol. Methods Res., 33 (2004), pp. 261-304.
    • (2004) Sociol. Methods Res. , vol.33 , pp. 261-304
    • Burnham, K.P.1    Anderson, R.D.2
  • 8
    • 47249127654 scopus 로고    scopus 로고
    • Covariance selection for nonchordal graphs via chordal embedding
    • J. DAHL, L. VANDENBERGHE, AND V. ROYCHOWDHURY, Covariance selection for nonchordal graphs via chordal embedding, Optim. Methods Softw., 23 (2008), pp. 501-520.
    • (2008) Optim. Methods Softw. , vol.23 , pp. 501-520
    • Dahl, J.1    Vandenberghe, L.2    Roychowdhury, V.3
  • 9
    • 70450159548 scopus 로고    scopus 로고
    • Covsel: First order methods for sparse covariance selection
    • Princeton University, Princeton, NJ
    • A. D'ASPREMONT AND L. EL GHAOUI, Covsel: First order methods for sparse covariance selection, ORFE Department, Princeton University, Princeton, NJ, 2006.
    • (2006) ORFE Department
    • D'Aspremont, A.1    El Ghaoui, L.2
  • 11
    • 0001038826 scopus 로고
    • Covariance selection
    • A. DEMPSTER, Covariance selection, Biometrics, 28 (1972), pp. 157-175.
    • (1972) Biometrics , vol.28 , pp. 157-175
    • Dempster, A.1
  • 12
    • 41549097939 scopus 로고    scopus 로고
    • Bayesian Covariance Selection
    • Duke University, Durham, NC
    • A. DOBRA AND M. WEST, Bayesian Covariance Selection, ISDS working paper, Duke University, Durham, NC, 2004.
    • (2004) ISDS Working Paper
    • Dobra, A.1    West, M.2
  • 14
    • 22144488449 scopus 로고    scopus 로고
    • Sparse nonnegative solutions of underdetermined linear equations by linear programming
    • D. L. DONOHO AND J. TANNER, Sparse nonnegative solutions of underdetermined linear equations by linear programming, Proc. Natl. Acad. Sci., 102 (2005), pp. 9446-9451.
    • (2005) Proc. Natl. Acad. Sci. , vol.102 , pp. 9446-9451
    • Donoho, D.L.1    Tanner, J.2
  • 16
    • 45849134070 scopus 로고    scopus 로고
    • Sparse inverse covariance estimation with the graphical lasso
    • J. FRIEDMAN, T. HASTIE, AND R. TIBSHIRANI, Sparse inverse covariance estimation with the graphical lasso, Biostatistics, 9 (2008), pp. 432-441.
    • (2008) Biostatistics , vol.9 , pp. 432-441
    • Friedman, J.1    Hastie, T.2    Tibshirani, R.3
  • 17
    • 33644986127 scopus 로고    scopus 로고
    • Covariance matrix selection and estimation via penalised normal likelihood
    • J. Z. HUANG, N. LIU, AND M. POURAHMADI, Covariance matrix selection and estimation via penalised normal likelihood, Biometrika, 93 (2006), pp. 85-98.
    • (2006) Biometrika , vol.93 , pp. 85-98
    • Huang, J.Z.1    Liu, N.2    Pourahmadi, M.3
  • 18
    • 20144364427 scopus 로고    scopus 로고
    • Experiments in stochastic computation for high-dimensional graphical models
    • B. JONES, C. CARVALHO, C. DOBRA, A. HANS, C. CARTER, AND M. WEST, Experiments in stochastic computation for high-dimensional graphical models, Statist. Sci., 20 (2005), pp. 388-400.
    • (2005) Statist. Sci. , vol.20 , pp. 388-400
    • Jones, B.1    Carvalho, C.2    Dobra, C.3    Hans, A.4    Carter, C.5    West, M.6
  • 20
    • 33144470576 scopus 로고    scopus 로고
    • Excessive gap technique in nonsmooth convex minimization
    • Y. NESTEROV, Excessive gap technique in nonsmooth convex minimization, SIAM J. Optim., 16 (2005), pp. 235-249.
    • (2005) SIAM J. Optim. , vol.16 , pp. 235-249
    • Nesterov, Y.1
  • 21
    • 17444406259 scopus 로고    scopus 로고
    • Smooth minimization of nonsmooth functions
    • Y. E. NESTEROV, Smooth minimization of nonsmooth functions, Math. Programming, 103 (2005), pp. 127-152.
    • (2005) Math. Programming , vol.103 , pp. 127-152
    • Nesterov, Y.E.1
  • 22
    • 0012081067 scopus 로고
    • Interior-Point Polynomial Algorithms in Convex Programming
    • Y. NESTEROV AND A. NEMIROVSKII, Interior-Point Polynomial Algorithms in Convex Programming, SIAM, Philadelphia, 1994.
    • (1994) SIAM, Philadelphia
    • Nesterov, Y.1    Nemirovskii, A.2
  • 23
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • R. TIBSHIRANI, Regression shrinkage and selection via the lasso, J. Roy. Statist. Soc. Ser. B, 58 (1996), pp. 267-288.
    • (1996) J. Roy. Statist. Soc. Ser. B. , vol.58 , pp. 267-288
    • Tibshirani, R.1
  • 24
    • 0032397913 scopus 로고    scopus 로고
    • Determinant maximization with linear matrix inequality constraints
    • L. VANDENBERGHE, S. BOYD, AND S.-P. WU, Determinant maximization with linear matrix inequality constraints, SIAM J. Matrix Anal. Appl., 19 (1998), pp. 499-533.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , pp. 499-533
    • Vandenberghe, L.1    Boyd, S.2    Wu, S.-P.3
  • 25
    • 33947115409 scopus 로고    scopus 로고
    • Model selection and estimation in the Gaussian graphical model
    • M. YUAN AND Y. LIN, Model selection and estimation in the Gaussian graphical model, Biometrika, 94 (2007), pp. 19-35.
    • (2007) Biometrika , vol.94 , pp. 19-35
    • Yuan, M.1    Lin, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.