@techreport{franc:hal-03518107, TITLE = {{Tensor Ranks for the Pedestrian for Dimension Reduction and Disentangling Interactions}}, AUTHOR = {Franc, Alain}, URL = {https://inria.hal.science/hal-03518107}, TYPE = {Research Report}, NUMBER = {RR-9445}, INSTITUTION = {{Inrae - BioGeCo ; Inria Bordeaux Sud-Ouest}}, YEAR = {2021}, MONTH = Dec, KEYWORDS = {Tensors ; Tensor Product ; Tensor Algebra ; Tensor rank ; Candecomp ; Parafac ; Tucker model ; Tensor-Train ; Dimension reduction ; Variable separation ; Tensor Train ; Tenseur ; Produit tensoriel ; Alg{\`e}bre tensorielle ; rang d'un tenseur ; Candecomp ; Parafac ; mod{\`e}le de Tucker ; Tensor-Train ; R{\'e}duction de dimension ; S{\'e}paration de variables ; Tensor Train}, PDF = {https://inria.hal.science/hal-03518107/file/Franc-RR-9445.pdf}, HAL_ID = {hal-03518107}, HAL_VERSION = {v1}, }