6 problems

Independence-relaxation conjecture. The column-wise independence condition may be relaxed to independence among the $E_{i,j}$'s, for $i,j\in\{1,2\}$.

Generic multiplicity-two conjecture. Under generic assumptions, the algebraic multiplicity of the defective eigenvalue in the nearest defective matrix is exactly $2$. Consequently,…

Consider the case of almost orthogonal neurons in the data-dependent conjugate-kernel setting, where the relevant matrix is $\Gamma$. Almost-orthogonal-neuron perturbation conjectu…

Deterministic $T_1$ bound. There exists a constant $C$ such that, whenever

Let $\mathbf{x}_s$ be the state variable, and let … denote the diagonal and coupled Jacobian matrices, respectively. Eigenvector approximation conjecture. If $\|\mathbf{x}_s\|$ is…

Berman–Rantzer conjecture. There is a positive $t_1$ such that, for every $t>t_1$, all eigenvalues of $B(t)$ lie in the open right half plane.