Neural Network Formalization

In order to assist the eld of neural networks in its maturing a formal ization and a solid foundation are essential Additionally to permit the introduction of formal proofs it is essential to have an all encompassing formal mathematical de nition of a neural network Most neural networks even biological ones exhibit a layered struc ture This publication shows that all neural networks can be represented as layered structures This layeredness is therefore chosen as the basis for a formal neural network framework This publication o ers a neu ral network formalization consisting of a topological taxonomy a uniform nomenclature and an accompanying consistent mnemonic notation Sup ported by this formalization both a exible hierarchical and a universal mathematical de nition are presented