Identifiability through special linear measurements

Fulvio Gesmundo; Alexandros Grosdos; André Uschmajew

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arXiv · 2505.24328

Identifiability through special linear measurements

Fulvio Gesmundo·Alexandros Grosdos·André Uschmajew

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Abstract

We show that one can always identify a point on an algebraic variety $X$ uniquely with $\dim X +1$ generic linear measurements taken themselves from a variety under minimal assumptions. As illustrated by several examples the result is sharp, that is, $\dim X$ measurements are in general not enough for unique identifiability.

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Fulvio Gesmundo, Alexandros Grosdos, André Uschmajew. 2025-05-30. Identifiability through special linear measurements. https://arxiv.org/abs/2505.24328

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