English

The Capacity of Modern Hopfield Networks under the Data Manifold Hypothesis

Disordered Systems and Neural Networks 2025-03-13 v1

Abstract

We generalize the computation of the capacity of exponential Hopfield model from Lucibello and M\'ezard (2024) to more generic pattern ensembles, including binary patterns and patterns generated from a hidden manifold model.

Keywords

Cite

@article{arxiv.2503.09518,
  title  = {The Capacity of Modern Hopfield Networks under the Data Manifold Hypothesis},
  author = {Beatrice Achilli and Luca Ambrogioni and Carlo Lucibello and Marc Mézard and Enrico Ventura},
  journal= {arXiv preprint arXiv:2503.09518},
  year   = {2025}
}

Comments

ICLR 2025 Workshop Paper, 9 pages, 2 figures