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  On the information-theoretic structure of distributed measurements

Balduzzi, D. (2011). On the information-theoretic structure of distributed measurements. In 7th International Workshop on Developments of Computational Models (DCM 2011) (pp. 1-15). Amsterdam, Netherlands: Elsevier Science.

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https://arxiv.org/abs/1107.1222v2 (Any fulltext)
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Balduzzi, D1, Author              
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1Dept. Empirical Inference, Max Planck Institute for Intelligent Systems, Max Planck Society, DE, ou_1497647              

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 Abstract: The internal structure of a measuring device, which depends on what its components are and how they are organized, determines how it categorizes its inputs. This paper presents a geometric approach to studying the internal structure of measurements performed by distributed systems such as probabilistic cellular automata. It constructs the quale, a family of sections of a suitably defined presheaf, whose elements correspond to the measurements performed by all subsystems of a distributed system. Using the quale we quantify (i) the information generated by a measurement; (ii) the extent to which a measurement is context-dependent; and (iii) whether a measurement is decomposable into independent submeasurements, which turns out to be equivalent to context-dependence. Finally, we show that only indecomposable measurements are more informative than the sum of their submeasurements.

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 Dates: 2011-07
 Publication Status: Published in print
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 Identifiers: BibTex Citekey: Balduzzi2011_2
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Title: 7th International Workshop on Developments of Computational Models (DCM 2011)
Place of Event: Zürich, Switzerland
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Title: 7th International Workshop on Developments of Computational Models (DCM 2011)
Source Genre: Proceedings
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Publ. Info: Amsterdam, Netherlands : Elsevier Science
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 1 - 15 Identifier: -