Oceania
Parameters as interacting particles: long time convergence and asymptotic error scaling of neural networks
Grant Rotskoff, Eric Vanden-Eijnden
The performance of neural networks on high-dimensional data distributions suggests that it may be possible to parameterize a representation of a given high-dimensional function with controllably small errors, potentially outperforming standard interpolation methods. We demonstrate, both theoretically and numerically, that this is indeed the case.