Zeroth, first, and second-order phase transitions in deep neural networks

We investigate deep-learning-unique first-order and second-order phase transitions, whose phenomenology closely follows that in statistical physics. In particular, we prove that the competition between prediction error and model complexity in the training loss leads to the second-order phase transit...

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Bibliographic Details
Main Authors: Liu Ziyin, Masahito Ueda
Format: Article
Language:English
Published: American Physical Society 2023-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.043243