Ladder Matrix Recovery from Permutations

07/22/2022

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by   Manolis C. Tsakiris, et al.

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We give unique recovery guarantees for matrices of bounded rank that have undergone permutations of their entries. We even do this for a more general matrix structure that we call ladder matrices. We use methods and results of commutative algebra and algebraic geometry, for which we include a preparation as needed for a general audience.