CP-TT: using TT-SVD to greedily construct a Canonical Polyadic tensor approximation
Numerical Analysis
2020-11-20 v1 Numerical Analysis
Abstract
In the present work, a method is proposed in order to compute a Canonical Polyadic (CP) approximation of a given tensor. It is based on a greedy method and an adaptation of the TT-SVD method. The proposed approach can be straightforwardly extended to compute rank- updates in a stable way. Some numerical experiments are proposed, in which the proposed method is compared to ALS and ASVD methods and performs particularly well for high-order tensors.
Cite
@article{arxiv.2011.09725,
title = {CP-TT: using TT-SVD to greedily construct a Canonical Polyadic tensor approximation},
author = {Virginie Ehrlacher and Maria Fuente Ruiz and Damiano Lombardi},
journal= {arXiv preprint arXiv:2011.09725},
year = {2020}
}