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Bibliographische Detailangaben
Hauptverfasser:	Sawhney, Mehtaab, Sellke, Mark
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Probability Mathematical Physics
Online-Zugang:	https://arxiv.org/abs/2408.13701
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

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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

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