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The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale’s 18th problem

Deep learning (DL) has had unprecedented success and is now entering scientific computing with full force. However, current DL methods typically suffer from instability, even when universal approximation properties guarantee the existence of stable neural networks (NNs). We address this paradox by d...

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Detalles Bibliográficos
Autores principales: Colbrook, Matthew J., Antun, Vegard, Hansen, Anders C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8944871/
https://www.ncbi.nlm.nih.gov/pubmed/35294283
http://dx.doi.org/10.1073/pnas.2107151119