Work

Ranks of tensors: geometry and applications

Year: 2025

Type: article

Abstract: In this article, we briefly survey some of the recent results in the geometry of tensors with a focus on bounds for various important notions of ranks. This is written in honor of Edoardo Ballico, who made important contributions to this field, on the occasion of his 70th birthday.

Source: Bollettino Della Unione Matematica Italiana

DOI: 10.1007/s40574-025-00472-9

Authors: Alessandro Oneto, Emanuele Ventura

Institutions: University of Trento, Politecnico di Torino

Language: English

Topic: Tensor decomposition and applications

Subfield: Computational Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090