5 problems

Effective Lipschitz concentration. The effective Lipschitz constant satisfies $\Lambda_{\mathrm{eff}}\ll\Lambda(W)$, specifically $\Lambda_{\mathrm{eff}}=O(\mathrm{poly}(H))$, whil…

Lipschitz continuity conjecture for the convex QCQP reformulation. If the paper's assumptions $Cref{assum:Ab}$ and $ref{assum:main}$ hold and $k>0$, then for every…

Let $\mathbb{S}^{(d-1)}$ be the sphere and let $\Delta:\mathbb{S}^{(d-1)}\to [0,1]$ denote the spherical cap discrepancy. Global Lipschitz continuity conjecture. The spherical cap…

Optimal lower Lipschitz bound conjecture. It was conjectured that

Ash–Catoiu conjecture. The set $F$ is a null set.