2 problems

In the single-variate setting $m=1$, let $Q_*\in\mathbb R^d$ be sampled uniformly from the unit sphere $\mathbb S^{d-1}$, and consider the associated detection problem with dimensi…

Let $\mathbb P$ and $\mathbb Q$ be the distributions in the paper's shuffled linear regression detection problem, and let $d$, $m$, $n$, $\sigma$, and $D$ denote respectively the a…