Multiway latent block model for pca tensor decomposition
Abstract
A multiway latent block model (WLBM) is proposed for modeling the reduction and the clustering of m-modes tensors via matricial latent variables. BEM-like algorithms allow the parameters inference of the models for tensors with multiple modes. This results into summarizing high-dimensional tensors for pca reduction and visualization in a generic multidimensional setting. The parameterizations are -related or approximated- Canonical Polyadic and Tucker decompositions with dramatically less dimensions than their usual full versions for the latent components.
Fields of Study & Subjects
Tensor decomposition and applications
Publication details
- Journal / source
- HAL (Le Centre pour la Communication Scientifique Directe)
- Publication date
- 7 April 2026
- Language
- EN
- Document type
- Preprint