메뉴 건너뛰기




Volumn 7, Issue 4, 2012, Pages 867-886

Bayesian graphical lasso models and eficient posterior computation

Author keywords

Adaptive graphical lasso; Block gibbs sampler; Constrained parameter spaces; Covariance matrix estimation; Double exponential distribution; Graphical lasso

Indexed keywords


EID: 84872506599     PISSN: 19360975     EISSN: 19316690     Source Type: Journal    
DOI: 10.1214/12-BA729     Document Type: Article
Times cited : (233)

References (32)
  • 3
    • 21644460685 scopus 로고    scopus 로고
    • A Monte Carlo method for computing the marginal likelihood in nondecomposable Gaussian graphical models
    • Atay-Kayis, A. and Massam, H. (2005). "A Monte Carlo method for computing the marginal likelihood in nondecomposable Gaussian graphical models." Biometrika, 92: 317-335.
    • (2005) Biometrika , vol.92 , pp. 317-335
    • Atay-Kayis, A.1    Massam, H.2
  • 4
    • 41549101939 scopus 로고    scopus 로고
    • Model Selection Through Sparse Maximum Likelihood Estimation for Multivariate Gaussian or Binary Data
    • Banerjee, O., El Ghaoui, L., and d'Aspremont, A. (2008). "Model Selection Through Sparse Maximum Likelihood Estimation for Multivariate Gaussian or Binary Data." The Journal of Machine Learning Research, 9: 485-516.
    • (2008) The Journal of Machine Learning Research , vol.9 , pp. 485-516
    • Banerjee, O.1    Ghaoui, L.E.2    d'Aspremont, A.3
  • 5
    • 0034557223 scopus 로고    scopus 로고
    • Modeling covariance matrices in terms of standard deviations and correlations, with application to shrinkage
    • Barnard, J., McCulloch, R., and Meng, X.-L. (2000). "Modeling covariance matrices in terms of standard deviations and correlations, with application to shrinkage." Statistica Sinica, 10(4): 1281-1311.
    • (2000) Statistica Sinica , vol.10 , Issue.4 , pp. 1281-1311
    • Barnard, J.1    McCulloch, R.2    Meng, X.-L.3
  • 6
    • 77952811536 scopus 로고    scopus 로고
    • The horseshoe estimator for sparse signals
    • Carvalho, C. M., Polson, N. G., and Scott, J. G. (2010). "The horseshoe estimator for sparse signals." Biometrika, 97(2): 465-480.
    • (2010) Biometrika , vol.97 , Issue.2 , pp. 465-480
    • Carvalho, C.M.1    Polson, N.G.2    Scott, J.G.3
  • 7
    • 0442325081 scopus 로고    scopus 로고
    • Nonconjugate Bayesian Estimation of Covariance Matrices and Its Use in Hierarchical Models
    • Daniels, M. J. and Kass, R. E. (1999). "Nonconjugate Bayesian Estimation of Covariance Matrices and Its Use in Hierarchical Models." Journal of the American Statistical Association, 94(448): pp. 1254-1263.
    • (1999) Journal of the American Statistical Association , vol.94 , Issue.448 , pp. 1254-1263
    • Daniels, M.J.1    Kass, R.E.2
  • 8
    • 0035185654 scopus 로고    scopus 로고
    • Shrinkage Estimators for Covariance Matrices
    • Daniels, M. J. and Kass, R. E. (2001). "Shrinkage Estimators for Covariance Matrices." Biometrics, 57(4): 11731184.
    • (2001) Biometrics , vol.57 , Issue.4 , pp. 11731184
    • Daniels, M.J.1    Kass, R.E.2
  • 9
    • 21344482755 scopus 로고
    • Hyper-Markov laws in the statistical analysis of decomposable graphical models
    • Dawid, A. P. and Lauritzen, S. L. (1993). "Hyper-Markov laws in the statistical analysis of decomposable graphical models." Annals of Statistics, 21: 1272-1317.
    • (1993) Annals of Statistics , vol.21 , pp. 1272-1317
    • Dawid, A.P.1    Lauritzen, S.L.2
  • 10
    • 73949117731 scopus 로고    scopus 로고
    • Network exploration via the adaptive LASSO and SCAD penalties
    • Fan, J., Feng, Y., and Wu, Y. (2009). "Network exploration via the adaptive LASSO and SCAD penalties." Annals of Applied Statistics, 3(2): 521-541.
    • (2009) Annals of Applied Statistics , vol.3 , Issue.2 , pp. 521-541
    • Fan, J.1    Feng, Y.2    Wu, Y.3
  • 11
    • 45849134070 scopus 로고    scopus 로고
    • Sparse inverse covariance estimation with the graphical lasso
    • Friedman, J., Hastie, T., and Tibshirani, R. (2008). "Sparse inverse covariance estimation with the graphical lasso." Biostatistics, 9(3): 432-441.
    • (2008) Biostatistics , vol.9 , Issue.3 , pp. 432-441
    • Friedman, J.1    Hastie, T.2    Tibshirani, R.3
  • 12
    • 78650337471 scopus 로고    scopus 로고
    • Inference with normal-gamma prior distributions in regression problems
    • Grifin, J. E. and Brown, P. (2010). "Inference with normal-gamma prior distributions in regression problems." Bayesian Analysis, 5(1): 171-188.
    • (2010) Bayesian Analysis , vol.5 , Issue.1 , pp. 171-188
    • Grifin, J.E.1    Brown, P.2
  • 13
    • 79952164560 scopus 로고    scopus 로고
    • Joint estimation of multiple graphical models
    • Guo, J., Levina, E., Michailidis, G., and Zhu, J. (2011). "Joint estimation of multiple graphical models." Biometrika, 98(1): 1-15.
    • (2011) Biometrika , vol.98 , Issue.1 , pp. 1-15
    • Guo, J.1    Levina, E.2    Michailidis, G.3    Zhu, J.4
  • 14
    • 71249130909 scopus 로고    scopus 로고
    • Bayesian lasso regression
    • Hans, C. (2009). "Bayesian lasso regression." Biometrika, 96(4): 835-845.
    • (2009) Biometrika , vol.96 , Issue.4 , pp. 835-845
    • Hans, C.1
  • 15
    • 20144364427 scopus 로고    scopus 로고
    • Experiments in stochastic computation for high-dimensional graphical models
    • Jones, B., Carvalho, C., Dobra, A., Hans, C., Carter, C., and West, M. (2005). "Experiments in stochastic computation for high-dimensional graphical models." Statistical Science, 20: 388-400.
    • (2005) Statistical Science , vol.20 , pp. 388-400
    • Jones, B.1    Carvalho, C.2    Dobra, A.3    Hans, C.4    Carter, C.5    West, M.6
  • 17
    • 78049484065 scopus 로고    scopus 로고
    • Penalized Regression, Standard Errors, and Bayesian Lassos
    • Kyung, M., Gill, J., Ghosh, M., and Casella, G. (2010). "Penalized Regression, Standard Errors, and Bayesian Lassos." Bayesian Analysis, 5(2): 369-412.
    • (2010) Bayesian Analysis , vol.5 , Issue.2 , pp. 369-412
    • Kyung, M.1    Gill, J.2    Ghosh, M.3    Casella, G.4
  • 18
    • 79551657781 scopus 로고    scopus 로고
    • The Bayesian Elastic Net
    • Li, Q. and Lin, N. (2010). "The Bayesian Elastic Net." Bayesian Analysis, 5(1): 151170.
    • (2010) Bayesian Analysis , vol.5 , Issue.1 , pp. 151170
    • Li, Q.1    Lin, N.2
  • 19
    • 22944481534 scopus 로고    scopus 로고
    • Bayesian correlation estimation
    • Liechty, J. C., Liechty, M. W., and MÄuller, P. (2004). "Bayesian correlation estimation." Biometrika, 91(1): 1-14.
    • (2004) Biometrika , vol.91 , Issue.1 , pp. 1-14
    • Liechty, J.C.1    Liechty, M.W.2    Mäuller, P.3
  • 23
    • 33747163541 scopus 로고    scopus 로고
    • High-dimensional graphs and variable selection with the lasso
    • Meinshausen, N. and Bäuhlmann, P. (2006). "High-dimensional graphs and variable selection with the lasso." The Annals of Statistics, 34(3): 1436-1462.
    • (2006) The Annals of Statistics , vol.34 , Issue.3 , pp. 1436-1462
    • Meinshausen, N.1    Bäuhlmann, P.2
  • 26
    • 0001842997 scopus 로고    scopus 로고
    • Cholesky decomposition of a hyper-inverse Wishart matrix
    • Roverato, A. (2000). "Cholesky decomposition of a hyper-inverse Wishart matrix." Biometrika, 87: 99-112.
    • (2000) Biometrika , vol.87 , pp. 99-112
    • Roverato, A.1
  • 27
    • 17644427718 scopus 로고    scopus 로고
    • Causal Protein-Signaling Networks Derived from Multiparameter Single-Cell Data
    • Sachs, K., Perez, O., Pe'er, D., Lau®enburger, D. A., and Nolan, G. P. (2005). "Causal Protein-Signaling Networks Derived from Multiparameter Single-Cell Data." Science, 308(5721): 523-529.
    • (2005) Science , vol.308 , Issue.5721 , pp. 523-529
    • Sachs, K.1    Perez, O.2    Pe'er, D.3    Lau®enburger, D.A.4    Nolan, G.P.5
  • 28
    • 84863117817 scopus 로고    scopus 로고
    • Eficient Gaussian graphical model determination under G-Wishart prior distributions
    • Wang, H. and Li, S. Z. (2012). "Eficient Gaussian graphical model determination under G-Wishart prior distributions." Electronic Journal of Statistics, 6: 168-198.
    • (2012) Electronic Journal of Statistics , vol.6 , pp. 168-198
    • Wang, H.1    Li, S.Z.2
  • 29
    • 0039713775 scopus 로고
    • On Scale Mixtures of Normal Distributions
    • West, M. (1987). "On Scale Mixtures of Normal Distributions." Biometrika, 74(3): pp. 646-648.
    • (1987) Biometrika , vol.74 , Issue.3 , pp. 646-648
    • West, M.1
  • 30
    • 3843149220 scopus 로고    scopus 로고
    • Eficient estimation of covariance selection models
    • Wong, F., Carter, C., and Kohn, R. (2003). "Eficient estimation of covariance selection models." Biometrika, 90: 809-30.
    • (2003) Biometrika , vol.90 , pp. 809-30
    • Wong, F.1    Carter, C.2    Kohn, R.3
  • 31
    • 21844496542 scopus 로고
    • Estimation of a Covariance Matrix Using the Reference Prior
    • Yang, R. and Berger, J. O. (1994). "Estimation of a Covariance Matrix Using the Reference Prior." The Annals of Statistics, 22(3): pp. 1195-1211.
    • (1994) The Annals of Statistics , vol.22 , Issue.3 , pp. 1195-1211
    • Yang, R.1    Berger, J.O.2
  • 32
    • 33947115409 scopus 로고    scopus 로고
    • Model selection and estimation in the Gaussian graphical model
    • Yuan, M. and Lin, Y. (2007). "Model selection and estimation in the Gaussian graphical model." Biometrika, 94(1): 19-35.
    • (2007) Biometrika , vol.94 , Issue.1 , pp. 19-35
    • Yuan, M.1    Lin, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.