Artificial Intelligence #deep neural networks#non-archimedean analysis
Deep Neural Networks Formulated via Non-Archimedean Analysis Offer New Universal Approximation Capabilities
A new paper on arXiv presents a formulation of deep neural networks using non-Archimedean analysis, employing multilayered tree-like architectures based on rings of integers of local fields. The networks are shown to be robust universal approximators for functions on these rings and the unit interval.
Jun 16, 2026 1 source