The Capacity of Modern Hopfield Networks under the Data Manifold Hypothesis
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909535792267264 |
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| author | Achilli, Beatrice Ambrogioni, Luca Lucibello, Carlo Mézard, Marc Ventura, Enrico |
| author_facet | Achilli, Beatrice Ambrogioni, Luca Lucibello, Carlo Mézard, Marc Ventura, Enrico |
| contents | We generalize the computation of the capacity of exponential Hopfield model from Lucibello and Mézard (2024) to more generic pattern ensembles, including binary patterns and patterns generated from a hidden manifold model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09518 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Capacity of Modern Hopfield Networks under the Data Manifold Hypothesis Achilli, Beatrice Ambrogioni, Luca Lucibello, Carlo Mézard, Marc Ventura, Enrico Disordered Systems and Neural Networks We generalize the computation of the capacity of exponential Hopfield model from Lucibello and Mézard (2024) to more generic pattern ensembles, including binary patterns and patterns generated from a hidden manifold model. |
| title | The Capacity of Modern Hopfield Networks under the Data Manifold Hypothesis |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2503.09518 |