A multilevel Monte Carlo estimator for matrix multiplication

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 a...

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Bibliografske podrobnosti
Main Authors: Wu, Y, Polydorides, N
Format: Journal article
Jezik:English
Izdano: Society for Industrial & Applied Mathematics 2020
Opis
Izvleček: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.