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Volumn 31, Issue 4, 2009, Pages 2000-2016

Adaptive first-order methods for general sparse inverse covariance selection

Author keywords

Adaptive Nesterov's smooth method; Adaptive spectral projected gradient method; Sparse inverse covariance selection

Indexed keywords

ADAPTIVE NESTEROV'S SMOOTH METHOD; ALGORITHM FRAMEWORK; COMPUTATIONAL RESULTS; CONDITIONAL INDEPENDENCES; ESTIMATION PROBLEM; FIRST-ORDER; GAUSSIANS; GRAPHICAL MODEL; INVERSE COVARIANCE; L1 NORM; MATRIX; PENALIZED MAXIMUM-LIKELIHOOD ESTIMATION; PROJECTED GRADIENT; SPECTRAL PROJECTED GRADIENT METHOD; STANFORD; STANFORD UNIVERSITY;

EID: 77956030532     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/080742531     Document Type: Article
Times cited : (39)

References (19)
  • 2
    • 0001531895 scopus 로고
    • Two-point step size gradient methods
    • J. Barzilai and J. M. Borwein, Two-point step size gradient methods, IMA J. Numer. Anal., 8 (1988), pp. 141-148.
    • (1988) IMA J. Numer. Anal. , vol.8 , pp. 141-148
    • Barzilai, J.1    Borwein, J.M.2
  • 5
    • 0034345420 scopus 로고    scopus 로고
    • Nonmonotone spectral projected gradient methods on convex sets
    • E. G. Birgin, J. M. Martínez, and M. Raydan, Nonmonotone spectral projected gradient methods on convex sets, SIAM J. Optim., 10 (2000), pp. 1196-1211.
    • (2000) SIAM J. Optim. , vol.10 , pp. 1196-1211
    • Birgin, E.G.1    Martínez, J.M.2    Raydan, M.3
  • 7
    • 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
  • 8
    • 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
  • 10
    • 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
  • 12
    • 0022766519 scopus 로고
    • A nonmonotone line search technique for Newton's method
    • L. Grippo, F. Lampariello, and S. Lucidi, A nonmonotone line search technique for Newton's method, SIAM J. Numer. Anal., 23 (1986), pp. 707-716.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 707-716
    • Grippo, L.1    Lampariello, F.2    Lucidi, S.3
  • 13
    • 70450200096 scopus 로고    scopus 로고
    • Smooth optimization approach for sparse covariance selection
    • Z. Lu, Smooth optimization approach for sparse covariance selection, SIAM J. Optim., 19 (2009), pp. 1807-1827.
    • (2009) SIAM J. Optim. , vol.19 , pp. 1807-1827
    • Lu, Z.1
  • 15
    • 17444406259 scopus 로고    scopus 로고
    • Smooth minimization of non-smooth functions
    • Y. E. Nesterov, Smooth minimization of non-smooth functions, Math. Program., 103 (2005), pp. 127-152.
    • (2005) Math. Program. , vol.103 , pp. 127-152
    • Nesterov, Y.E.1
  • 16
    • 0003630894 scopus 로고
    • Interior-point polynomial algorithms in convex programming: Theory and applications
    • SIAM, Philadelphia
    • Y. E. Nesterov and A. S. Nemirovski, Interior-Point Polynomial Algorithms in Convex Programming: Theory and Applications, SIAM Stud. Appl. Math. 13, SIAM, Philadelphia, 1994.
    • (1994) SIAM Stud. Appl. Math. , vol.13
    • Nesterov, Y.E.1    Nemirovski, A.S.2
  • 17
    • 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
  • 18
    • 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
  • 19
    • 34548480020 scopus 로고
    • English translation
    • Y. E. Nesterov, English translation in Soviet Math. Dokl., 27 (1983), pp. 372-376.
    • (1983) Soviet Math. Dokl. , vol.27 , pp. 372-376
    • Nesterov, Y.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.