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The beltway problem over orthogonal groups
The classical beltway problem entails recovering a set of points from their unordered pairwise distances on the circle.
Phase retrieval with semi-algebraic and ReLU neural network priors
In this paper, we study the phase retrieval problem under the prior that the signal lies in a semi-algebraic set.
Algebraic theory of phase retrieval
The purpose of this article is to discuss recent advances in the growing field of phase retrieval, and to publicize open problems that we believe will be of interest to mathematicians in general, and algebraists in particular.
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