• Corpus ID: 88511768

Adaptive post-Dantzig estimation and prediction for non-sparse "large $p$ and small $n$" models

  title={Adaptive post-Dantzig estimation and prediction for non-sparse "large \$p\$ and small \$n\$" models},
  author={Lu Lin and Lixing Zhu and Yujie Gai},
  journal={arXiv: Methodology},
For consistency (even oracle properties) of estimation and model prediction, almost all existing methods of variable/feature selection critically depend on sparsity of models. However, for ``large $p$ and small $n$" models sparsity assumption is hard to check and particularly, when this assumption is violated, the consistency of all existing estimations is usually impossible because working models selected by existing methods such as the LASSO and the Dantzig selector are usually biased. To… 
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