[Submitted on 18 Feb 2025 (v1), last revised 7 Aug 2026 (this version, v2)]

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Abstract:Unlabeled sensing is the inverse problem of recovering an element of a vector subspace of $\mathbb{R}^n$, from its image under an unknown permutation of the coordinates and knowledge of the subspace. Here we study this problem from an algebraic point of view for the special class of subspaces that admit a Toeplitz basis.

Submission history

From: Xin Hong [view email]
[v1] Tue, 18 Feb 2025 11:39:25 UTC (11 KB)
[v2] Fri, 7 Aug 2026 06:09:47 UTC (16 KB)

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