Equations of Motion from a Data Series

@article{Crutchfield1987EquationsOM,
  title={Equations of Motion from a Data Series},
  author={James P. Crutchfield and Bruce S. McNamara},
  journal={Complex Systems},
  year={1987},
  volume={1}
}
Temporal pattern learning, control and prediction, and chaotic data analysis share a common problem: deducing optimal equations of motion from observations of time-dependent behavior. Each desires to obtain models of the physical world from limited information. We describe a method to reconstruct the deterministic portion of the equations of motion directly from a data series. These equations of motion represent a vast reduction of a chaotic data set’s observed complexity to a compact… CONTINUE READING
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