Free Energy Universality of Spherical Spin Glasses
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929472932937728 |
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| author | Sawhney, Mehtaab Sellke, Mark |
| author_facet | Sawhney, Mehtaab Sellke, Mark |
| contents | We prove the free energy and ground state energy of spherical spin glasses are universal under the minimal moment assumptions. Previously such universality was known only for Ising spin glasses and random symmetric matrices, the latter being a celebrated result of Bai--Yin. Our methods extend to $\ell^q$ balls for $q>2$, thus resolving a conjecture of Chen-Sen, and to tensor PCA. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13701 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free Energy Universality of Spherical Spin Glasses Sawhney, Mehtaab Sellke, Mark Probability Mathematical Physics We prove the free energy and ground state energy of spherical spin glasses are universal under the minimal moment assumptions. Previously such universality was known only for Ising spin glasses and random symmetric matrices, the latter being a celebrated result of Bai--Yin. Our methods extend to $\ell^q$ balls for $q>2$, thus resolving a conjecture of Chen-Sen, and to tensor PCA. |
| title | Free Energy Universality of Spherical Spin Glasses |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2408.13701 |