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arxiv: 1404.0320 · v1 · submitted 2014-04-01 · 💻 cs.IT · math.IT

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A Note on Randomized Element-wise Matrix Sparsification

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classification 💻 cs.IT math.IT
keywords algorithmmatrixrandomizedabsoluteaccordingaccuracyapproximationcombine
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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.

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