CP-TT: using TT-SVD to greedily construct a Canonical Polyadic tensor approximation - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2020

CP-TT: using TT-SVD to greedily construct a Canonical Polyadic tensor approximation

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-k 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.
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Dates and versions

hal-03018646 , version 1 (24-11-2020)
hal-03018646 , version 2 (02-06-2021)
hal-03018646 , version 3 (17-11-2021)

Identifiers

  • HAL Id : hal-03018646 , version 1

Cite

Virginie Ehrlacher, Maria Fuente-Ruiz, Damiano Lombardi. CP-TT: using TT-SVD to greedily construct a Canonical Polyadic tensor approximation. 2020. ⟨hal-03018646v1⟩
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