5 problems

Cuff's conjecture. With enough common randomness, the strong coordination region is the same as the empirical coordination region for any network setting.

Common-randomness conjecture. The large amount of high-quality common randomness required to achieve the rate-distortion-perception function under the strong realism constraint is…

Active-common-randomness conjecture. If $P(X,Y\mid A,B)$ has the displayed active-common-randomness factorization and $P(X,Y\mid A,B)\notin\mathscr{L}$, then…

Anantharam and Borkar's conjecture. Every point in $\mathscr{NS}$ is achievable through passive common randomness; equivalently, for any strategy $P(X,Y\mid A,B)$ satisfying the no…

Let $G=(V,E)$ be a $k$-uniform hypergraph on $n$ users. A cluster of connected components is a hypergraph whose structure consists of connected components as defined in the paper,…