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Parallel Algorithms for Tensor Train Arithmetic

Published in SIAM Journal on Scientific Computing • Feb 1, 2022
NobleIDNI6P38W26R20S68
Authors:
Hussam Al Daas
,
Grey Ballard
,
Peter Benner

Abstract

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithms for addition, elementwise multiplication, computing norms and inner products, orthogonalization, and rounding (rank tr...

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