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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

Author

Christian Ferko

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Review Open access Aug 2026

A tale of two compact bosons

Neural network field theory (NN-FT) defines a field theory by a network architecture together with a probability density on its latent variables. For compact theories the local Gaussian sector is only part of the story: one must also sum over discrete topological sectors. We review a mixed continuous/discrete latent-va...

Christian Ferko, Vishnu Jejjala, Brandon Robinson · 1 citation
Preprint Aug 2026

Neural Network Field Theory at Finite Width

Under mild assumptions, any quantum mechanical (QM) model or quantum field theory (QFT) admits a representation in terms of an ensemble of neural networks with countably many random parameters. We investigate the features of NN-QM and NN-FT models with finitely many parameters, such as a feedforward network of width $N...

Christian Ferko, Aaron Mutchler · 2 citations · ⚡1

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