9 problems

Third-moment finite-candidate conjecture. Moments up to degree three should generically restrict the solution set to finitely many candidates.

Counting-function filtered $H$-moment conjecture. If $E{Gamma,(Gammav){v otin T}}(Q)neq0$ and $H$ is admissible, then there is a counting function $C$ on…

$E”$-family $H$-moment conjecture. The filtered $H$-moment conjecture remains true after every occurrence of $E'{Gamma,(Gammav){v otin T}}(D,Q)$ is replaced by…

Multi-reference alignment moment recovery conjecture. Suppose that the $q$-th moment of $y$ determines $x$ uniquely, possibly up to some intrinsic symmetries. Then $x$ is determine…

Consider the large-wave-vector regime in which entanglement between hydrodynamic and non-hydrodynamic modes destroys the exact hydrodynamics for the Grad moment equations. Conjectu…

Consider the one-dimensional free-streaming Vlasov equation … with periodic boundary conditions, and approximate the distribution function using velocity values associated with a m…

De-biasing conjecture. In this range, an appropriate de-biasing of $b[?mb[0m$ may yield a $\sqrt{n}$-consistent estimate of the target moment.

Let $F$ be a distribution and let ${\cal H}$ be a $k$-dimensional concept class. The triple $(k,F,{\cal H})$ is $(m,\eta)$-moment-learnable if: $F=F_VF_W$ is factorizable with…

Let $\left(\overline{\mathcal R_{[L]}}\right)_{L=1,2,\dots}$ be a sequence of restriction operators whose macroscopic state variables are the first $L$ centralized moments, with…