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Hutch#: Optimal non-adaptive Frobenius norm estimation

Chen, Tyler et al.
arXiv (All) · Papers
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data-structures-and-algorithmsnumerical-analysis
The Girard--Hutchinson estimator provides an extremely simple randomized estimate of the Frobenius norm of a matrix $A$ that can only be accessed implicitly via matrix-vector products. In particular, if $Ω$ is a random Gaussian matrix with $r = O(1/\varepsilon^2)$ columns, than $\frac{1}{r}\|AΩ\|_F^
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