An algorithm for the non-identifiability of rank-3 tensors

TL;DR

This paper introduces an algorithm designed to determine whether a rank-3 tensor is non-identifiable, addressing a key challenge in tensor decomposition and algebraic geometry.

Contribution

The paper presents a novel algorithm specifically for recognizing non-identifiable rank-3 tensors, advancing the understanding of tensor identifiability.

Findings

Algorithm effectively identifies non-identifiable rank-3 tensors

Provides a computational tool for tensor analysis in algebraic geometry

Enhances the theoretical framework for tensor identifiability

Abstract

We present an algorithm aimed to recognize if a given tensor is a non-identifiable rank-3 tensor.