2 problems

Let $A\in\mathbb{R}^{m\times d}$ with $m\geq d$ and $0<\varepsilon\leq\frac12$. Sparse $\ell_1$ representation conjecture. There exists a universal constant $C>0$ and a matrix…

Let $A$ be a compact $\ell_1$-convex set, meaning a geodesic subset of $\ell_1^n$, and let $V'_i(A)$ denote its $i$th $\ell_1$-intrinsic volume. These volumes are defined by the St…