TY - JOUR
T1 - Noise-robust realization of Turing-complete cellular automata by using neural networks with pattern representation
AU - Oku, Makito
AU - Aihara, Kazuyuki
N1 - Funding Information:
The authors would like to thank the anonymous reviewers for their fruitful comments and suggestions. This research is partially supported by the Japan Society for the Promotion of Science , a Grant-in-Aid for JSPS Fellows ( 21 937 ) and FIRST Aihara Innovative Mathematical Modelling Project .
PY - 2010/11/1
Y1 - 2010/11/1
N2 - A modularly-structured neural network model is considered. Each module, which we call a 'cell', consists of two parts: a Hopfield neural network model and a multilayered perceptron. An array of such cells is used to simulate the Rule 110 cellular automaton with high accuracy even when all the units of neural networks are replaced by stochastic binary ones. We also find that noise not only degrades but also facilitates computation if the outputs of multilayered perceptrons are below the threshold required to update the states of the cells, which is a stochastic resonance in computation.
AB - A modularly-structured neural network model is considered. Each module, which we call a 'cell', consists of two parts: a Hopfield neural network model and a multilayered perceptron. An array of such cells is used to simulate the Rule 110 cellular automaton with high accuracy even when all the units of neural networks are replaced by stochastic binary ones. We also find that noise not only degrades but also facilitates computation if the outputs of multilayered perceptrons are below the threshold required to update the states of the cells, which is a stochastic resonance in computation.
UR - http://www.scopus.com/inward/record.url?scp=78049257327&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2010.10.024
DO - 10.1016/j.physleta.2010.10.024
M3 - 学術論文
AN - SCOPUS:78049257327
SN - 0375-9601
VL - 374
SP - 4859
EP - 4863
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 48
ER -