3 problems

Restricted eigenvalue conjecture. For Poisson regression models, condition (III) holds with high probability under very mild conditions.

Let $d=1$ and $k=4$, so that $p=5$ and a saturated design is specified by a support $X\subset\{0,1\}^4$ with $|X|=5$. After quotienting by the hyperoctahedral symmetry, there are 1…

Let $d$ be fixed, let $k$ be the number of rules, and let $\beta_A$ be the parameters indexed by subsets $A$ with $|A|\leq d$. The corner design is denoted by $w^*_{k,d}$, and the…