A polynomial formulation for joint decomposition of symmetric tensors of different orders

Pierre Comon (1) , Yang Qi (1) , Konstantin Usevich (1)

1 GIPSA-CICS - GIPSA - Communication Information and Complex Systems

We consider two models: simultaneous CP decomposition of several symmetric tensors of different orders and decoupled representations of multivariate polynomial maps. We show that the two problems are related and propose a unified framework to study the rank properties of these models.

Mots clés: polynomial decoupling; generic rank; X-rank; coupled CP decomposition

Domaines: Traitement du signal et de l'image [eess.SP]

Pierre Comon, Yang Qi, Konstantin Usevich. A polynomial formulation for joint decomposition of symmetric tensors of different orders. LVA/ICA 2015 - 12th International Conference on Latent Variable Analysis and Signal Separation, Aug 2015, Liberec, Czech Republic. pp.8. ⟨hal-01168992⟩