Title | ||
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Evolving cellular automata rules for multiple-step-ahead prediction of complex binary sequences |
Abstract | ||
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Complex binary sequences are generated through the application of simple threshold, linear transformations to the logistic iterative map. Depending primarily on the value of its non-linearity parameter, the logistic map exhibits a great variety of behavior, including stable states, cycling and periodical activity and the period doubling phenomenon that leads to high-order chaos. From the real data sequences, binary sequences are derived. Consecutive L bit sequences are given as input to a cellular automaton with the task to regenerate the subsequent L bits of the binary sequence in precisely L evolution steps. To perform this task a genetic algorithm is employed to evolve cellular automaton rules. Various complex binary sequences are examined, for a variety of initial values and a wide range of values of the non-linearity parameter. The proposed hybrid multiple-step-ahead prediction algorithm, based on a combination of genetic algorithms and cellular automata proved efficient and effective. |
Year | DOI | Venue |
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2010 | 10.1016/j.mcm.2009.08.010 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
cellular automata,genetic algorithm,consecutive l bit sequence,genetic algorithms,binary sequence,cellular automaton rule,multiple-step-ahead prediction,various complex binary sequence,subsequent l bit,l evolution step,cellular automata rule,cellular automaton,non-linearity parameter,complex binary sequence prediction,multiple-step-ahead forecasting,complex binary sequence,linear transformation,logistic map | Period-doubling bifurcation,Cellular automaton,Iterative method,Automaton,Pseudorandom binary sequence,Algorithm,Logistic map,Genetic algorithm,Mathematics,Binary number | Journal |
Volume | Issue | ISSN |
51 | 3-4 | Mathematical and Computer Modelling |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Adam V. Adamopoulos | 1 | 7 | 3.84 |
N. G. Pavlidis | 2 | 219 | 9.04 |
M.N. Vrahatis | 3 | 1740 | 151.65 |