Efficient PINNs via multi-head unimodular regularization of the solutions space

Abstract Non-linear differential equations are a fundamental tool to describe different phenomena in nature. However, we still lack a well-established method to tackle stiff differential equations. Here we present a machine learning framework to facilitate the solution of nonlinear multiscale differ...

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Bibliographic Details
Main Authors: Pedro Tarancón-Álvarez, Pablo Tejerina-Pérez, Raul Jimenez, Pavlos Protopapas
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-025-02248-1
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