4 problems

NP optimality of geometric neutral zones. The reliability score induces a monotone likelihood-ratio ordering: whenever $R_1>R_2$,

Let $K\geq 3$. In the $K$-class setting, let \widehat{\boldsymbol{f}}(\text{\boldmath x}_i)\in\mathbb{R}^K denote the multinomial logistic-regression logits for the observed fe…

Signal-strength tightness conjecture. The second condition on the signal strength is tight up to an extra $\sqrt{n}$ factor; this factor is believed to be an artifact of the analys…

Let $K\geq 2$ be the number of classes and let $R\in\{2,3,\ldots,K\}$ be the maximum row weight of a classification matrix. Theorem gives an upper bound with scaling…