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Research Article

Global optimal model selection for high-dimensional survival analysis

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Pages 3850-3863 | Received 09 Nov 2020, Accepted 07 Jul 2021, Published online: 18 Jul 2021

References

  • Schwarz G. Estimating the dimension of a model. Ann Stat. 1978;6(2):461–464.
  • Akaike H. A new look at the statistical model identification. IEEE Trans Automat Contr. 1974;19(6):716–723.
  • Chen J, Chen Z. Extended bayesian information criteria for model selection with large model spaces. Biometrika. 2008;95(3):759–771.
  • Tibshirani R. Regression shrinkage and selection via the lasso. J R Stat Soc: Ser B (Methodol). 1996;58(1):267–288.
  • Zou H. The adaptive lasso and its oracle properties. J Am Stat Assoc. 2006;101(476):1418–1429.
  • Zou H, Hastie T. Regularization and variable selection via the elastic net. J R Stat Soc: Ser B (Stat Methodol). 2005;67(2):301–320.
  • Tibshirani R. The Lasso method for variable selection in the cox model. Stat Med. 1997;16(4):385–395.
  • Zhang HH, Lu W. Adaptive lasso for cox's proportional hazards model. Biometrika. 2007;94(3):691–703.
  • Goeman JJ. L1 penalized estimation in the cox proportional hazards model. Biometrical J. 2010;52(1):70–84.
  • Kirkpatrick S, Gelatt CD, Vecchi MP. Optimization by simulated annealing. Science. 1983;220(4598):671–680.
  • Metropolis N, Rosenbluth AW, Rosenbluth MN, et al. Equation of state calculations by fast computing machines. J Chem Phys. 1953;21(6):1087–1092.
  • Atkinson AC. A note on the generalized information criterion for choice of a model. Biometrika. 1980;67(2):413–418.
  • Zhang Y, Li R, Tsai CL. Regularization parameter selections via generalized information criterion. J Am Stat Assoc. 2010;105(489):312–323.
  • Kim Y, Kwon S, Choi H. Consistent model selection criteria on high dimensions. J Machine Learning Res. 2012;13:1037–1057.
  • Casella G, George EI. Explaining the gibbs sampler. Am Stat. 1992;46(3):167–174.
  • Cox DR. Regression models and life-tables. J R Stat Soc: Ser B (Methodol). 1972;34(2):187–202.
  • Volinsky CT, Raftery AE. Bayesian information criterion for censored survival models. Biometrics. 2000;56(1):256–262.
  • James G, Witten D, Hastie T, et al. An introduction to statistical learning. Vol. 112, New York: Springer; 2013.
  • Gibbs JW. Elementary principles in statistical mechanics: developed with especial reference to the rational foundations of thermodynamics. New York: C. Scribner's sons; 1902.
  • Chen J, Chen Z. Extended bic for small-n-large-p sparse glm. Stat Sin. 2012;22(2):555–574.
  • Luo S, Xu J, Chen Z. Extended bayesian information criterion in the cox model with a high-dimensional feature space. Ann Inst Stat Math. 2015;67(2):287–311.
  • Foygel R, Drton M. Extended bayesian information criteria for gaussian graphical models. Advances in neural information processing systems. 2010. p. 604–612.
  • Fan J, Li R. Variable selection via nonconcave penalized likelihood and its oracle properties. J Am Stat Assoc. 2001;96(456):1348–1360.
  • Zhang CH. Nearly unbiased variable selection under minimax concave penalty. Ann Stat. 2010;38(2):894–942.
  • Rosenwald A, Wright G, Chan WC, et al. The use of molecular profiling to predict survival after chemotherapy for diffuse large-b-cell lymphoma. N Eng J Med. 2002;346(25):1937–1947.
  • Alizadeh AA, Eisen MB, Davis RE, et al. Distinct types of diffuse large b-cell lymphoma identified by gene expression profiling. Nature. 2000;403(6769):503–511.
  • Lymphoma Research Foundation. Diffuse large B-cell lymphoma. 2020. Available from: https://lymphoma.org/aboutlymphoma/nhl/dlbcl/.
  • Kim Y, Jeon JJ. Consistent model selection criteria for quadratically supported risks. Ann Stat. 2016;44(6):2467–2496.

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