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A Note on Randomized Element-wise Matrix Sparsification

Information Theory 2014-04-02 v1 math.IT

Abstract

Given a matrix A \in R^{m x n}, we present a randomized algorithm that sparsifies A by retaining some of its elements by sampling them according to a distribution that depends on both the square and the absolute value of the entries. We combine the ideas of [4, 1] and provide an elementary proof of the approximation accuracy of our algorithm following [4] without the truncation step.

Keywords

Cite

@article{arxiv.1404.0320,
  title  = {A Note on Randomized Element-wise Matrix Sparsification},
  author = {Abhisek Kundu and Petros Drineas},
  journal= {arXiv preprint arXiv:1404.0320},
  year   = {2014}
}

Comments

5 pages

R2 v1 2026-06-22T03:40:29.172Z