Constructs an efficient mixed test for linear functional testing in sparse regression and proves information-theoretic and low-degree lower bounds on adaptive separation rates for general loadings, with computational hardness evidence via sparse CCA reduction.
Tsybakov,Introduction to nonparametric estimation, Springer Series in Statis- tics, Springer, 2009
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Linear Functional Testing with General Loadings in Sparse Regression: Separation Rates and Computational Barriers
Constructs an efficient mixed test for linear functional testing in sparse regression and proves information-theoretic and low-degree lower bounds on adaptive separation rates for general loadings, with computational hardness evidence via sparse CCA reduction.