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The Adaptive $τ$-Lasso: Robustness and Oracle Properties
We carry out extensive simulations and observe that the class of $\tau$-Lasso estimators exhibits robustness and reliable performance in both contaminated and uncontaminated data settings.
Two-Stage Robust and Sparse Distributed Statistical Inference for Large-Scale Data
The proposed two-stage robust and distributed inference procedures demonstrate reliable performance and robustness in variable selection, finding confidence intervals and bootstrap approximations of standard deviations even when data is high-dimensional and contaminated by outliers.
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