Alquier, Pierre; Hebiri, Mohamed - In: Statistics & Probability Letters 81 (2011) 12, pp. 1760-1765
setting, several estimators such as the LASSO (Tibshirani, 1996) and the Dantzig Selector (Candes and Tao, 2007) are known to … satisfy interesting properties whenever the vector β∗ is sparse. Interestingly, both the LASSO and the Dantzig Selector can be … for the LASSO. For a well chosen s>0, this set is actually a confidence region for β∗. In this paper, we investigate the …