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Conference Paper

Detecting emergent processes in cellular automata with excess information


Balduzzi,  D
Dept. Empirical Inference, Max Planck Institute for Intelligent Systems, Max Planck Society;

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Balduzzi, D. (2011). Detecting emergent processes in cellular automata with excess information. In T. Lenaerts, M. Giacobini, H. Bersini, P. Bourgine, M. Dorigo, & R. Doursat (Eds.), Advances in Artificial Life: ECAL 2011 (pp. 55-62). Cambridge, MA, USA: MIT Press.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-BAD4-5
Many natural processes occur over characteristic spatial and temporal scales. This paper presents tools for (i) flexibly and scalably coarse-graining cellular automata and (ii) identifying which coarse-grainings express an automaton’s dynamics well, and which express its dynamics badly. We apply the tools to investigate a range of examples in Conway’s Game of Life and Hopfield networks and demonstrate that they capture some basic intuitions about emergent processes. Finally, we formalize the notion that a process is emergent if it is better expressed at a coarser granularity.