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.
Therefore, with probability tending to 1, there is at least one nonzero coordinate with magnitude at mostM
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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.