Explosive neural networks via higher-order interactions in curved statistical manifolds

Abstract Higher-order interactions underlie complex phenomena in systems such as biological and artificial neural networks, but their study is challenging due to the scarcity of tractable models. By leveraging a generalisation of the maximum entropy principle, we introduce curved neural networks as...

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Bibliographic Details
Main Authors: Miguel Aguilera, Pablo A. Morales, Fernando E. Rosas, Hideaki Shimazaki
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-025-61475-w
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