论文标题

高维线性模型的$ C $ - 最佳实验的设计

Design of $c$-Optimal Experiments for High dimensional Linear Models

论文作者

Eftekhari, Hamid, Banerjee, Moulinath, Ritov, Ya'acov

论文摘要

我们研究了当可用的大量未标记数据但测量相应的响应昂贵时,我们研究了偏离套索估计量的渐近方差的随机设计。最佳采样分布作为半限定程序的解决方案。这些最佳设计产生的效率提高将通过仿真实验来证明。

We study random designs that minimize the asymptotic variance of a de-biased lasso estimator when a large pool of unlabeled data is available but measuring the corresponding responses is costly. The optimal sampling distribution arises as the solution of a semidefinite program. The improvements in efficiency that result from these optimal designs are demonstrated via simulation experiments.

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