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A multilevel Monte Carlo estimator for matrix multiplication

Yue Wu, Nick Polydorides*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Inspired by recent developments in multilevel Monte Carlo (MLMC) methods and randomized sketching for linear algebra problems, we propose an MLMC estimator for real-time processing of matrix structured random data. Our algorithm is particularly effective in handling high-dimensional inner products and matrix multiplication, and finds applications in computer vision and large-scale supervised learning.
Original languageEnglish
Pages (from-to)A2731-A2749
Number of pages19
JournalSIAM Journal on Scientific Computing
Volume42
Issue number5
DOIs
Publication statusPublished - 15 Sept 2020

Keywords

  • sketching
  • multiplication
  • multilevel Monte Carlo
  • real-time computing

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