Tensor Hinted Mv Conjectures

TL;DR

This paper generalizes the Hinted Mv Conjecture from matrices to tensors, expanding the scope of the original conjecture and exploring its implications in higher-dimensional data structures.

Contribution

It introduces a tensor version of the Hinted Mv Conjecture, extending the original matrix-based conjecture to more complex tensor settings.

Findings

Generalization of the Hinted Mv Conjecture to tensors

Potential new insights into tensor computations

Foundation for future tensor algorithm research

Abstract

Brand, Nanongkai, and Saranurak introduced a conjecture known as the Hinted Mv Conjecture. Although it was originally formulated for the matrix case, we generalize it here to the tensor setting.