Optimal Nonlinear Prediction of Random Fields on Networks

@inproceedings{Shalizi2003OptimalNP,
  title={Optimal Nonlinear Prediction of Random Fields on Networks},
  author={Cosma Rohilla Shalizi},
  booktitle={DMCS},
  year={2003}
}
It is increasingly common to encounter time-varying random fields on networks (metabolic networks, sensor arrays, distributed computing, etc.). This paper considers the problem of optimal, nonlinear prediction of these fields, showing from an information-theoretic perspective that it is formally identical to the problem of finding minimal local sufficient statistics. I derive general properties of these statistics, show that they can be composed into global predictors, and explore their… CONTINUE READING
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Showing 1-10 of 15 references

The Structure and Function of Complex Networks.

  • Newman, J MarkE.
  • SIAM Review
  • 2003

What Is a Macrostate? From Subjective Measurements to Objective Dynamics.

  • Shalizi, Cosma Rohilla, Cristopher Moore
  • Studies in the History and Philosophy of Modern…
  • 2003

Complexity of Two-Dimensional Patterns.”Journal of Statistical Physics

  • Lindgren, Kristian, Cristopher Moore, Mats Nordahl
  • 1998

“ Complexity of Two - Dimensional Patterns . ”

  • Kristian Lindgren, Cristopher Moore, Mats Nordahl
  • Journal of Statistical Physics
  • 1998

Hierarchical Structures and Scaling in Physics

  • Badii, Remo, Antonio Politi
  • 1997

1995).Random Fields on a Network: Modeling, Statistics, and Applications

  • Guyon, Xavier
  • 1995

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