4 problems

Geometric interpolation conjecture. For all $\mathcal{K}>0$, $\kappa_1,\kappa_2>0$, and $\theta\in[0,1]$, the mixed-conditioning performance satisfies

Closed-form worst-case conjecture. The worst-case performance satisfies

Let $\mathcal{C}_{\mu_g}^{0}$ and $\mathcal{D}_{\mu_g}^{\mu_M}$ be the operator-composed function classes defined in the source, and let $\mathcal{C}_{\mu_g}^{0,(1)}$ and…

OBL-G$_\flat$'s $\mathcal{A}^\star$-optimality conjecture. OBL-G$_\flat$ is $\mathcal{A}^\star$-optimal in the sense that