Turing Computation with Recurrent Artificial Neural Networks
@article{Carmantini2015TuringCW, title={Turing Computation with Recurrent Artificial Neural Networks}, author={Giovanni Sirio Carmantini and Peter beim Graben and Mathieu Desroches and Serafim Rodrigues}, journal={ArXiv}, year={2015}, volume={abs/1511.01427} }
We improve the results by Siegelmann & Sontag (1995) by providing a novel and parsimonious constructive mapping between Turing Machines and Recurrent Artificial Neural Networks, based on recent developments of Nonlinear Dynamical Automata. The architecture of the resulting R-ANNs is simple and elegant, stemming from its transparent relation with the underlying NDAs. These characteristics yield promise for developments in machine learning methods and symbolic computation with continuous time…
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