3 problems

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Almost-everywhere uniqueness conjecture for complex phase retrieval least squares
Almost-everywhere uniqueness conjecture. For all vectors ${\bm b}\in\mathbb{R}^m$ except for a measure zero set, this program has a unique solution. The real analogue is establishe…
Conjectureopennonlinear-least-squares phase-retrieval uniquenessarXiv posted 2 days ago
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Generic chaining conjecture for the sharp transition in empirical nonlinear least-squares bounds
In the setting above, let $k=\sqrt{K(U(\mathcal{T}_{2r}))}$ , so that the current estimates yield $k=m^{M/2}$ in one normalization and $k=1$ in the favorable case. Generic chaining…
Conjectureopenempirical-processes nonlinear-least-squares tensor-approximationarXiv posted 2 days ago
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Sparse phase retrieval theorem under an improved regularization condition
Improved regularization conjecture. Theorem 2 should still hold provided
Conjectureopennonlinear-least-squares phase-retrieval sparse-recoveryarXiv posted 2 days ago

Almost-everywhere uniqueness conjecture for complex phase retrieval least squares