Discussion: The dantzig selector: Statistical estimation when p is much larger than n

Annals of Statistics

Volumn 35, Issue 6, 2007, Pages 2385-2391

  Friedlander, Michael P ^a   Saunders, Michael A ^b,c  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b STANFORD UNIVERSITY   (United States)

^c Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 50849101382     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053607000000479     Document Type: Note

References (12)

1. 1-magic. Available at www.11-magic.org.
2. CHEN. S. S., DONOHO, D. L. and SAUNDERS, M. A. (1998). Atomic decomposition by basis pursuit. SIAMJ. Sci. Comput. 20 33-61. MR 1639094
3. CHEN, S. S., DONOHO, D. L. and SAUNDERS, M. A. (2001). Atomic decomposition by basis pursuit. SIAM Rev. 43 129-159. MR 1854649
4. ILOG CPLEX (2007). Mathematical programming system. Available at www.cplex.com.
5. 1-norm minimization problems when the solution may be sparse. Available at www.dsp.ece.rice.edu/cs/FastL1.pdf.
6. EFRON, B., HASTIE, T., JOHNSTONE, I. and TIBSHIRANI, R. (2004). Least angle regression (with discussion). Ann. Statist. 32 407-499. MR2060166
7. OSBORNE, M. R., PRESNELL, B. and TURLACH, B. A. (2000). On the LASSO and its dual. J. Comput. Graph. Statist. 9 319-337. MR 1822089
8. OSBORNE, M. R., PRESNELL, B. and TURLACH, B. A. (2000). A new approach to variable selection in least squares problems. IMA J. Numer. Anal. 20 389-403. MR1773265
9. ROMBERG, J. (2005). 11dantzig_pd.m. MATLAB solver for DS problem. Available at www.11-magic.org.
10. SAUNDERS, M. A. (2005). PDCO. MATLAB software for convex optimization. Available at www.stanford.edu/group/SOL/software/pdco.html.
11. TIBSHIRANI, R. (1996). Regression shrinkage and selection via the lasso. J. Roy. Statist. Soc. Ser. B 58 267-288. MR1379242
12. ∞-norm solution to a system of equations. Report SOL 75-12, Dept. Operations Research, Stanford Univ.