3 problems

Let $\mathbf{X}\sim\operatorname{Unif}(\mathbb{H}^n)$ be uniformly distributed on the Boolean hypercube, and let $\mathbf{Y}$ be obtained by passing each bit of $\mathbf{X}$ throug…

Huleihel et al.'s conjecture. In the regime $p\to 1/2$, the optimal learning rate of the student is

Let $U$ be the auxiliary random variable in the feedback-based collaborative secrecy encoding problem over binary symmetric channels. The preceding result establishes that $U$ can…