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How many continuous measurements are needed to learn a vector?
December 09, 2024 · Declared Dead · 🏛 arXiv.org
"No code URL or promise found in abstract"
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Authors
David Krieg, Erich Novak, Mario Ullrich
arXiv ID
2412.06468
Category
math.NA: Numerical Analysis
Cross-listed
cs.CC,
cs.IT
Citations
2
Venue
arXiv.org
Last Checked
2 months ago
Abstract
One can recover vectors from $\mathbb{R}^m$ with arbitrary precision, using only $\lceil \log_2(m+1)\rceil +1$ continuous measurements that are chosen adaptively. This surprising result is explained and discussed, and we present applications to infinite-dimensional approximation problems.
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