Optimal reconstruction error from approximate linear queries converges to sqrt(2d/(d+1)) delta as number of queries T goes to infinity, with doubly exponential excess error decay for fixed d and exp(d) queries needed for vanishing excess when d grows.
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Optimal Reconstruction from Linear Queries
Optimal reconstruction error from approximate linear queries converges to sqrt(2d/(d+1)) delta as number of queries T goes to infinity, with doubly exponential excess error decay for fixed d and exp(d) queries needed for vanishing excess when d grows.