4 problems

Let $C^*$ be a ground-truth piecewise-linear curve with vertices $c^*_0,\dots,c^*_M$, let $\widehat{m}_3$ be the estimated third moment tensor, and let the tensor power method with…

Let $\widehat{m}_{\mathbf{X} Y, 2}$ be the moment estimator used in the Gaussian-design GLM method-of-moments procedure, and let $\bm{\beta}$ denote the regression coefficient vect…

Heterogeneous MRA recovery conjecture. Generic unique recovery is possible at degree $3$ if $\mathcal{U}>Kp+K-1$, while generic list recovery is possible at degree $3$ precisely if…

Let $p\geq 3$ be odd, let $V=\mathbb{R}^p$ with the cyclic-shift action of $G=\mathbb{Z}/p\mathbb{Z}$, and let the projection identify opposite entries as in MRA with projection. M…