On stability and solvability (or, when does a neural network solve a problem?)

Minds and Machines 2 (1):71-83 (1992)
The importance of the Stability Problem in neurocomputing is discussed, as well as the need for the study of infinite networks. Stability must be the key ingredient in the solution of a problem by a neural network without external intervention. Infinite discrete networks seem to be the proper objects of study for a theory of neural computability which aims at characterizing problems solvable, in principle, by a neural network. Precise definitions of such problems and their solutions are given. Some consequences are explored, in particular, the neural unsolvability of the Stability Problem for neural networks.
Keywords Neural networks  dynetic problem  infinite networks  neural computability  neurocomputing  scalability  stability problem  Turing machine  universal neural network  cellular automata
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DOI 10.1007/BF00261290
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