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math.NA2024
HOSCF: Efficient decoupling algorithms for finding the best rank-one approximation of higher-order tensors
Chuanfu Xiao, Zeyu Li, Chao Yang
Best rank-one approximation is one of the most fundamental tasks in tensor computation. In order to fully exploit modern multi-core parallel computers, it is necessary to develop d…
math.NA2021★ 1 cited
A rank-adaptive higher-order orthogonal iteration algorithm for truncated Tucker decomposition
Chuanfu Xiao, Chao Yang
We propose a novel rank-adaptive higher-order orthogonal iteration (HOOI) algorithm to compute the truncated Tucker decomposition of higher-order tensors with a given error toleran…