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No Escape from the Quadratic Barrier: Adaptive Attacks on Linear $\ell_2$ Sketches

Cohen, Edith et al.
arXiv (All) · Papers
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data-structures-and-algorithmsmachine-learning
Linear sketches estimate properties of high-dimensional inputs from a fixed low-dimensional projection. At constant accuracy, randomized Euclidean-norm sketches, notably the Johnson-Lindenstrauss transform, support exponentially many nonadaptive queries in sketch dimension $k$. For adaptive black-bo
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