Efficient Simulation of Finite Automata by Neural Nets

@article{Alon1991EfficientSO,
  title={Efficient Simulation of Finite Automata by Neural Nets},
  author={Noga Alon and A. K. Dewdney and Teunis J. Ott},
  journal={J. ACM},
  year={1991},
  volume={38},
  pages={495-514}
}
Let <italic>K</italic>(<italic>m</italic>) denote the smallest number with the property that every <italic>m</italic>-state finite automaton can be built as a neural net using <italic>K</italic>(<italic>m</italic>) or fewer neurons. A counting argument shows that <italic>K</italic>(<italic>m</italic>) is at least &OHgr;((<italic>m</italic> log <italic>m</italic>)<supscrpt>1/3</supscrpt>), and a construction shows that <italic>K</italic>(<italic>m</italic>) is at most <italic>O</italic>(<italic… CONTINUE READING

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