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Unbiased Low-Rank Approximation for Repeated Matrix-Vector Multiplication: Stability and Optimal Sampling

Liu, Kang
arXiv (All) · Papers
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machine-learningnumerical-analysisoptimization-and-controlrings-and-algebras
Replacing the matrix in an iteration with random low-rank matrices can reduce the cost of matrix-vector multiplication. However, even if the sampled matrices equal the original matrix in expectation, the expected squared norm of the random iterates may grow while the original iteration converges. Un
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