Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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

Virginie Ehrlacher 1, 2 Maria Fuente-Ruiz 3 Damiano Lombardi 3
2 MATHERIALS - MATHematics for MatERIALS
CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique, Inria de Paris
3 COMMEDIA - COmputational Mathematics for bio-MEDIcal Applications
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.inria.fr/hal-03018646
Contributor : Damiano Lombardi <>
Submitted on : Tuesday, November 24, 2020 - 9:58:08 AM
Last modification on : Friday, January 15, 2021 - 5:45:17 PM

File

CPTT_siamFormat.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03018646, version 1

Citation

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

Share

Metrics

Record views

32

Files downloads

71