5 papers
Topological Effects in Neural Network Field Theory
Christian Ferko, James Halverson, Vishnu Jejjala +1
Neural network field theory formulates field theory as a statistical ensemble of fields defined by a network architecture and a density on its parameters. We extend the constructio…
Universality of Neural Network Field Theory
Christian Ferko, James Halverson, Aaron Mutchler
We prove that any quantum field theory, or more generally any probability distribution over tempered distributions in , admits a neural network description with a cou…
Machine Learning Invariants of Tensors
Athithan Elamaran, Christian Ferko, Sterling Scarlett
We propose a data-driven approach to identifying the functionally independent invariants that can be constructed from a tensor with a given symmetry structure. Our algorithm procee…
Holography with Null Boundaries
Christian Ferko, Savdeep Sethi
One of the key issues in holography is going beyond and defining quantum gravity in spacetimes with a null boundary. Recent examples of this type involve linear dila…
Quantum Mechanics and Neural Networks
Christian Ferko, James Halverson
We demonstrate that any Euclidean-time quantum mechanical theory may be represented as a neural network, ensured by the Kosambi-Karhunen-Loève theorem, mean-square path continuity,…