English

Hadamard Powers and Kernel Perceptrons

Rings and Algebras 2023-04-28 v2

Abstract

We study a relation between Hadamard powers and polynomial kernel perceptrons. The rank of Hadamard powers for the special case of a Boolean matrix and for the generic case of a real matrix is computed explicitly. These results are interpreted in terms of the classification capacities of perceptrons.

Keywords

Cite

@article{arxiv.2207.08853,
  title  = {Hadamard Powers and Kernel Perceptrons},
  author = {Tobias Damm and Nicolas Dietrich},
  journal= {arXiv preprint arXiv:2207.08853},
  year   = {2023}
}

Comments

12 pages

R2 v1 2026-06-25T01:01:43.241Z