Application of computational mechanics to the analysis of natural data: an example in geomagnetism.

@article{Clarke2003ApplicationOC,
  title={Application of computational mechanics to the analysis of natural data: an example in geomagnetism.},
  author={Richard W. Clarke and Mervyn P. Freeman and N. W. Watkins},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={67 1 Pt 2},
  pages={016203}
}
We discuss how the ideal formalism of computational mechanics can be adapted to apply to a noninfinite series of corrupted and correlated data, that is typical of most observed natural time series. Specifically, a simple filter that removes the corruption that creates rare unphysical causal states is demonstrated, and the concept of effective soficity is introduced. We believe that computational mechanics cannot be applied to a noisy and finite data series without invoking an argument based… CONTINUE READING