3 problems

Let $p\geq n^2$, and consider the general covariance setting of the paper with sparsity level $k_0$ and signal sparsity parameter $\Delta$. In the regime … the squared minimax sepa…

Consider the regime in which $k_0$ is close to $\sqrt{p}$, namely … and in which $\Delta$ approaches $k_0$ from below, … for an arbitrarily small universal constant $\zeta>0$. Let…

Conjecture on the minimax separation distance. Under these conditions, $\rho^*_{\gamma}[k_0,p]$ is huge.