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Conjecture on the optimal condition for benign landscapes in complex orthogonal synchronization
The complex Stiefel manifold $\mathrm{St}(r,p,\mathbf{C})$ is simply connected as soon as $p\geq r+1$ . The optimality conjecture. This condition is correct, so the sufficient condi…
Conjecturerefutedoptimization orthogonal-synchronization stiefel-manifoldsarXiv posted 2 days ago
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The Gaussian orthogonal synchronization SDP tightness conjecture
SDP tightness conjecture. If
Conjectureopenoptimization orthogonal-synchronization semidefinite-programmingarXiv posted 2 days ago

Conjecture on the optimal condition for benign landscapes in complex orthogonal synchronization