Local minima and back propagation
Timothy Poston, C.-N. Lee, YoungJu Choie, Young-Jun Kwon · 2002
It is shown that, in a feedforward net of logistic units, if there are as many hidden nodes as patterns to learn then almost certainly a solution exists, and the error function has no local minima. A large enough feedforward net can reproduce almost any finite set of targets for almost any set of input patterns, and will almost certainly not be trapped in a local minimum while learning to do so.>