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Original Articles

A coordinate majorization descent algorithm for ℓ1 penalized learning

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Pages 84-95 | Received 28 Dec 2011, Accepted 16 May 2012, Published online: 26 Jun 2012

REFERENCES

  • R. Tibshirani, Regression shrinkage and selection via the lasso, J. R. Stat. Soc. Ser. B (1996), pp. 267–288.
  • B. Efron, T. Hastie, I. Johnstone, and R. Tibshirani, Least angle regression, Ann. Statist. 32 (2004), pp. 407–451. doi: 10.1214/009053604000000067
  • W. Fu, Penalized regressions: The bridge versus the lasso, J. Comput. Graph. Statist. 7 (1998), pp. 397–416.
  • I. Daubechies, M. Defrise, and C. De Mol, An iterative thresholding algorithm for linear inverse problems with a sparsity constraint, Comm. Pure Appl. Math. 57 (2004), pp. 1413–1457. doi: 10.1002/cpa.20042
  • J. Friedman, T. Hastie, H. Höfling, and R. Tibshirani, Pathwise coordinate optimization, Ann. Appl. Stat. 1 (2007), pp. 302–332. doi: 10.1214/07-AOAS131
  • T. Wu and K. Lange, Coordinate descent algorithms for lasso penalized regression, Ann. Appl. Stat. 2 (2008), pp. 224–244. doi: 10.1214/07-AOAS147
  • H. Zou and T. Hastie, Regularization and variable selection via the elastic net, J. R. Stat. Soc. Ser. B 67 (2005), pp. 301–320. doi: 10.1111/j.1467-9868.2005.00503.x
  • J. Friedman, T. Hastie, and R. Tibshirani, Regularization paths for generalized linear models via coordinate descent, J. Statist. Softw. 33 (2010), pp. 1–22.
  • K. Lange, D. Hunter, and I. Yang, Optimization transfer using surrogate objective functions, J. Comput. Graph. Statist. 9 (2000), pp. 1–20.
  • D. Hunter and K. Lange, A tutorial on MM algorithms, Amer. Statist. 58 (2004), pp. 30–37. doi: 10.1198/0003130042836
  • T. Wu and K. Lange, The MM alternative to EM, Statist. Sci. 25 (2010), pp. 492–505. doi: 10.1214/08-STS264
  • A. Dempster, N. Laird, and D. Rubin, Maximum likelihood from incomplete data via the EM algorithm, J. R. Stat. Soc. Ser. B 39 (1977), pp. 1–38.
  • R. Tibshirani, J. Bien, J. Friedman, T. Hastie, N. Simon, J. Taylor, and R. Tibshirani, Strong rules for discarding predictors in lasso-type problems, J. R. Stat. Soc. Ser. B 74 (2012), pp. 245–266. doi: 10.1111/j.1467-9868.2011.01004.x
  • U. Alon, N. Barkai, D. Notterman, K. Gish, S. Ybarra, D. Mack, and A. Levine, Broad patterns of gene expression revealed by clustering analysis of tumor and normal colon tissues probed by oligonucleotide arrays, Proc. Natl. Acad. Sci. 96 (1999), pp. 6745–6750. doi: 10.1073/pnas.96.12.6745
  • D. Singh, P.G. Febbo, K. Ross, D.G. Jackson, J. Manola, C. Ladd, P. Tamayo, A.A. Renshaw, A.V. D'Amico, J.P. Richie, E.S. Lander, M. Loda, P.W. Kantoff, T.R. Golub, and W.R. Sellers, Gene expression correlates of clinical prostate cancer behavior, Cancer Cell 1 (2002), pp. 203–209. doi: 10.1016/S1535-6108(02)00030-2
  • A. Frank and A. Asuncion, UCI Machine Learning Repository (2010), University of California, Irvine, School of Information and Computer Sciences. Available at http://archive.ics.uci.edu/ml.

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