# Information modification and particle collisions in distributed computation.

@article{Lizier2010InformationMA,
title={Information modification and particle collisions in distributed computation.},
author={Joseph T. Lizier and Mikhail Prokopenko and Albert Y. Zomaya},
journal={Chaos},
year={2010},
volume={20 3},
pages={
037109
}
}
• Published 28 September 2010
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Distributed computation can be described in terms of the fundamental operations of information storage, transfer, and modification. To describe the dynamics of information in computation, we need to quantify these operations on a local scale in space and time. In this paper we extend previous work regarding the local quantification of information storage and transfer, to explore how information modification can be quantified at each spatiotemporal point in a system. We introduce the separable…
111 Citations

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## References

SHOWING 1-10 OF 35 REFERENCES
The local information dynamics of distributed computation in complex systems
A complete information-theoretic framework to quantify these operations on information, and in particular their dynamics in space and time, is applied to cellular automata, and delivers important insights into the fundamental nature of distributed computation and the dynamics of complex systems.
Coherent information structure in complex computation
• Computer Science
Theory in Biosciences
• 2011
It is conjecture that coherent information structure is a defining feature of complex computation, particularly in biological systems or artificially evolved computation that solves human-understandable tasks.
Local information transfer as a spatiotemporal filter for complex systems.
• Physics
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2008
A measure of local information transfer, derived from an existing averaged information-theoretical measure, namely, transfer entropy, is presented, providing the first quantitative evidence for the long-held conjecture that the emergent traveling coherent structures known as particles are the dominant information transfer agents in cellular automata.
Collision-Based Computing
• Computer Science, Physics
Handbook of Natural Computing
• 2012
The basics of collision-based computing are introduced, the collision- based computing schemes in 1D and 2D cellular automata and continuous excitable media are overviewed, and the overview of collisions where particles/collisions are dimensionless is provided.
Automatic filters for the detection of coherent structure in spatiotemporal systems.
• Computer Science
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2006
Two approaches to automatically filter the changing configurations of spatial dynamical systems and extract coherent structures are presented, a modification of the local Lyapunov exponent approach suitable to cellular automata and other discrete spatial systems and a more traditional approach based on an order parameter and free energy is compared.
Differentiating information transfer and causal effect
• Computer Science
• 2010
It is shown that causal information flow is a primary tool to describe the causal structure of a system, while information transfer can then be used to describes the emergent computation on that causal structure.
Particlelike structures and their interactions in spatiotemporal patterns generated by one-dimensional deterministic cellular-automaton rules.
• Physics
Physical review. A, Atomic, molecular, and optical physics
• 1991
A detailed description of such reactions'' sheds new light on the large-time behavior of range-1 Rule 54 with a very slow decrease of the particle number, as ${\mathit{t}}^{\mathrm{\ensuremath{-}}\ensure Math{\gamma}}$ (Â£0.15).
A Group Interpretation Of Particles Generated By One-Dimensional Cellular Automaton, Wolfram'S Rule 54
A group which allows the formal study of interactions between particles in one-dimensional cellular automata and using the new algebraic classification of Rapaport proves that rule 54 is not simple.