title: Stability of neural networks and solitons of field theory.
abstract: The layers of a feed-forward neural network are interpreted as a cascade of field theories. The stability of the neural network is interpreted as the topological stability of kink solutions. An explicit example is shown for a three-class problem with their field theoretical Lagrangian equations.
authors.affiliation: Department of Physics, Korea Advanced Institute of Science and Technology, Yusong-ku Daejon 305-701, South Korea.
authors.forename: S H
authors.initials: SH
authors.lastname: Han
authors.forename: I G
authors.initials: IG
authors.lastname: Koh