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We consider the regression model with observation error in the design: y=X\theta* + e, Z=X+N.
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Belloni, A., and Chernozhukov, V. (2011). High dimensional sparse econometric models: an introduction. In: Inverse Problems and High Dimensional Estimation, Stats in the Château 2009
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Bickel, P.J., Ritov, Y. and Tsybakov, A.B. (2009). Simultaneous analysis of Lasso and Dantzig selector. The Annals of Statistics 37
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Koltchinskii, V. (2011). Oracle inequalities in empirical risk minimization and sparse recovery problems. École d’Été de Probabilités de Saint-Flour 2008. Lecture Notes in Mathematics, Vol. 2033
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