How many continuous measurements are needed to learn a vector?
Numerical Analysis
2024-12-10 v1 Computational Complexity
Information Theory
Numerical Analysis
math.IT
Abstract
One can recover vectors from with arbitrary precision, using only continuous measurements that are chosen adaptively. This surprising result is explained and discussed, and we present applications to infinite-dimensional approximation problems.
Cite
@article{arxiv.2412.06468,
title = {How many continuous measurements are needed to learn a vector?},
author = {David Krieg and Erich Novak and Mario Ullrich},
journal= {arXiv preprint arXiv:2412.06468},
year = {2024}
}
Comments
12 pages