2 problems

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Symmetry conjecture for optimal RN topology in cooperative source localization
Let the transmitter node (TN) be uniformly distributed in the environment of interest, and let $\{\mathbf p_1^*,\ldots,\mathbf p_K^*\}$ solve … where $\hat{\mathbf p}_{\mathrm T}$ …
Conjectureopenmolecular-communication optimization source-localizationarXiv posted 3 days ago
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Semialgebraicity conjecture for feasible TDOA sets
Semialgebraicity conjecture. The feasible TDOA set $\Theta_n$ can be described by algebraic equations and inequalities; equivalently, $\Theta_n$ is a semialgebraic variety.
Conjectureopensemialgebraic-geometry source-localization time-difference-of-arrivalarXiv posted 3 days ago

Symmetry conjecture for optimal RN topology in cooperative source localization