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SparseStack Is an Optimal Oblivious Subspace Embedding

Heidary, Diar
arXiv (All) · Papers
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60b2065f5068w20data-structures-and-algorithmsnumerical-analysis
We prove that fully independent SparseStack achieves the oblivious subspace embedding parameters conjectured by Nelson and Nguyen (FOCS 2013): $m=O((d+\log(1/δ))/\varepsilon^2)$ rows and $s=O(\log(d/δ)/\varepsilon)$ nonzero entries per column for distortion $\varepsilon$ and failure probability $δ$
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