5 problems

Let $({\mathbb S}^2)^n$ be the configuration space of $n$ points on the unit sphere, and let $\mathcal{E}_{\log}(n)$ denote the minimum of … over $({\mathbb S}^2)^n$, where…

The conjecture that Property C holds for spherically symmetric distributions. Property C, a concentration condition on the extreme singular values of transformed design matrices, h…

Orthogonal identifiability conjecture. Under suitable regularity conditions, the conclusion of Proposition remains valid up to an orthogonal transformation for any two Borel probab…

The local minimax-distance conjecture. This phenomenon should hold for a much broader range of models: at the usual minimax rates, the corresponding alternatives satisfy

Oleszkiewicz's conjecture. There is a universal constant $c$ such that, for every real $u$,