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Identifiability through special linear measurements
May 30, 2025 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Fulvio Gesmundo, Alexandros Grosdos, AndrΓ© Uschmajew
arXiv ID
2505.24328
Category
math.AG
Cross-listed
cs.IT,
math.NA
Citations
1
Venue
arXiv.org
Last Checked
3 months ago
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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