Publikation: Derivation of a Micro-Macro Link for Collective Decision-Making Systems : Uncover Network Features Based on Drift Measurements
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2014
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BARTZ-BEIELSTEIN, Thomas, ed., Jürgen BRANKE, ed., Bogdan FILIPIČ, ed. and others. Parallel Problem Solving from Nature : PPSN XIII, 13th International Conference, Proceedings. Cham: Springer, 2014, pp. 181-190. Lecture Notes in Computer Science, LNCS. 8672. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-10761-5. Available under: doi: 10.1007/978-3-319-10762-2_18
Zusammenfassung
Relating microscopic features (individual level) to macroscopic features (swarm level) of self-organizing collective systems is challenging. In this paper, we report the mathematical derivation of a macroscopic model starting from a microscopic one for the example of collective decision-making. The collective system is based on the application of a majority rule over groups of variable size which is modeled by chemical reactions (micro-model). From an approximated master equation we derive the drift term of a stochastic differential equation (macro-model) which is applied to predict the expected swarm behavior. We give a recursive definition of the polynomials defining this drift term. Our results are validated by Gillespie simulations and simulations of the locust alignment.
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004 Informatik
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Master Equation, Reaction Schema, Majority Rule, Neighborhood Size, Markov Chain Monte Carlo Method
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Parallel Problem Solving from Nature - PPSN XIII, 13th International Conference, 13. Sept. 2014 - 17. Sept. 2014, Ljubljana, Slovenia
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HAMANN, Heiko, Gabriele VALENTINI, Yara KHALUF, Marco DORIGO, 2014. Derivation of a Micro-Macro Link for Collective Decision-Making Systems : Uncover Network Features Based on Drift Measurements. Parallel Problem Solving from Nature - PPSN XIII, 13th International Conference. Ljubljana, Slovenia, 13. Sept. 2014 - 17. Sept. 2014. In: BARTZ-BEIELSTEIN, Thomas, ed., Jürgen BRANKE, ed., Bogdan FILIPIČ, ed. and others. Parallel Problem Solving from Nature : PPSN XIII, 13th International Conference, Proceedings. Cham: Springer, 2014, pp. 181-190. Lecture Notes in Computer Science, LNCS. 8672. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-10761-5. Available under: doi: 10.1007/978-3-319-10762-2_18BibTex
@inproceedings{Hamann2014Deriv-59893,
year={2014},
doi={10.1007/978-3-319-10762-2_18},
title={Derivation of a Micro-Macro Link for Collective Decision-Making Systems : Uncover Network Features Based on Drift Measurements},
number={8672},
isbn={978-3-319-10761-5},
issn={0302-9743},
publisher={Springer},
address={Cham},
series={Lecture Notes in Computer Science, LNCS},
booktitle={Parallel Problem Solving from Nature : PPSN XIII, 13th International Conference, Proceedings},
pages={181--190},
editor={Bartz-Beielstein, Thomas and Branke, Jürgen and Filipič, Bogdan},
author={Hamann, Heiko and Valentini, Gabriele and Khaluf, Yara and Dorigo, Marco}
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