3 problems

Integrality conjecture. If the optimal value of $\operatorname{Lp}(G,G_1,Z,P,Y_a)$ is $|Z|+|P|$, then there is an integer solution.

Let $G=(V,E)$ be a directed acyclic graph, let $S$ be the covariance matrix and $T$ the third-order moment tensor of the model $\mathcal M^{\leq 3}(G)$, and for each $v\in V$ let…

Generalized clustering conjecture. The theorem that clustering implies fine-tuning, currently established for the conditional case when $X(W)=X$ (equivalently, when $X$ is not a ca…