Estimating Ising Models from One Sample

Given one sample $X \in \{\pm 1\}^n$ from an Ising model $\Pr[X=x]\propto \exp(x^\top J x/2)$, whose interaction matrix satisfies $J:= \sum_{i=1}^k \beta_i J_i$ for some known matrices $J_i$ and some unknown parameters $\beta_i$, we study whether $J$ can be estimated to high accuracy. Assuming that each node of the Ising model has bound...More