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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Detalles Bibliográficos
Autores principales: Wu, Y, Polydorides, N
Formato: Journal article
Lenguaje:English
Publicado: Society for Industrial & Applied Mathematics 2020
Descripción
Sumario: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.