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.
Tony Cai, Zongming Ma, and Yihong Wu,Optimal estimation and rank detection for sparse spiked covariance matrices, Probability theory and related fields161(2015), no
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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.