On stability and solvability (or, when does a neural network solve a problem?)
Minds and Machines 2 (1) (1992)
| Abstract | 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. | |||||||||
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Gail A. Carpenter (2000). Combining Distributed and Localist Computations in Real-Time Neural Networks. Behavioral and Brain Sciences 23 (4):473-474.
Enrico Blanzieri (1997). Dynamical Learning Algorithms for Neural Networks and Neural Constructivism. Behavioral and Brain Sciences 20 (4):559-559.
François Chapeau-Blondeau (1995). Information Processing in Neural Networks by Means of Controlled Dynamic Regimes. Acta Biotheoretica 43 (1-2).
Pete Mandik (2003). Varieties of Representation in Evolved and Embodied Neural Networks. Biology and Philosophy 18 (1):95-130.
R. C. Lacher (1993). Expert Networks: Paradigmatic Conflict, Technological Rapproachement. Minds and Machines 3 (1):53-71.
D. C. Dennett & C. F. Westbury (1999). Stability is Not Intrinsic. Behavioral and Brain Sciences 22 (1):153-154.
Gualtiero Piccinini (2008). Some Neural Networks Compute, Others Don't. Neural Networks 21 (2-3):311-321.
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