6 problems

Conjecture that $C(u^m)=1$. For every such $u^m$,

Consider multichannel sparse blind deconvolution with signal vectors $\{\boldsymbol{x}_i\}$ having unknown nonzero supports, and let $p$ denote the number of measurements or channe…

Consider manifold gradient descent (MGD) applied to the paper's objective function on the sphere, and let its iterates start from the initialization used in the analysis. The objec…

The channels are modeled by sparse random vectors, with the Bernoulli-Rademacher model used in the paper as a special case of Bernoulli-subgaussian distributions. General subgaussi…

The channels are assumed to have a Bernoulli-subgaussian model: their entries are zero with Bernoulli sparsity and have subgaussian nonzero values; the paper's analysis currently t…

The 4N-4 conjecture. The smallest explicit measurement ensemble for generalized phase retrieval should have size $4N-4$.