Work

A stochastic algorithm for the ParaTuck decomposition

Year: 2024

Type: article

Abstract: This paper introduces a novel stochastic algorithm for the ParaTuck Decomposition (PTD), addressing the challenge of local minima encountered in the traditional alternating least squares (ALS) approach. The proposed method integrates stochastic steps into the ALS framework to avoid the common swamp problems, where numerical difficulties prevent accurate decompositions. Our simulations indicate enhanced convergence properties for PTD, suggesting a potential increase in the efficiency and reliability of this tensor decomposition across various applications.

Source: Digital Signal Processing

DOI: 10.1016/j.dsp.2024.104767

Authors: Yassine Zniyed, André L.F. de Almeida

Institutions: Centre National de la Recherche Scientifique, Université de Toulon, Aix-Marseille Université, Laboratoire d’Informatique et Systèmes, Universidade Federal do Ceará

Language: English

Topic: Tensor decomposition and applications

Subfield: Computational Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,500

OpenAlex ID: W4402558794

FWCI: 0.375

Cites: 30

Cited by: 2

Related to: 10