Derivation of a Micro-Macro Link for Collective Decision-Making Systems : Uncover Network Features Based on Drift Measurements

dc.contributor.authorHamann, Heiko
dc.contributor.authorValentini, Gabriele
dc.contributor.authorKhaluf, Yara
dc.contributor.authorDorigo, Marco
dc.date.accessioned2023-01-23T13:36:45Z
dc.date.available2023-01-23T13:36:45Z
dc.date.issued2014eng
dc.description.abstractRelating 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.eng
dc.description.versionpublishedeng
dc.identifier.doi10.1007/978-3-319-10762-2_18eng
dc.identifier.ppn1889565148
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/59893
dc.language.isoengeng
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dc.subjectMaster Equation, Reaction Schema, Majority Rule, Neighborhood Size, Markov Chain Monte Carlo Methodeng
dc.subject.ddc004eng
dc.titleDerivation of a Micro-Macro Link for Collective Decision-Making Systems : Uncover Network Features Based on Drift Measurementseng
dc.typeINPROCEEDINGSeng
dspace.entity.typePublication
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@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}
}
kops.citation.iso690HAMANN, 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_18deu
kops.citation.iso690HAMANN, 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, Sep 13, 2014 - Sep 17, 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_18eng
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kops.conferencefieldParallel Problem Solving from Nature - PPSN XIII, 13th International Conference, 13. Sept. 2014 - 17. Sept. 2014, Ljubljana, Sloveniadeu
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kops.sourcefieldBARTZ-BEIELSTEIN, Thomas, ed., Jürgen BRANKE, ed., Bogdan FILIPIČ, ed. and others. <i>Parallel Problem Solving from Nature : PPSN XIII, 13th International Conference, Proceedings</i>. 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_18deu
kops.sourcefield.plainBARTZ-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_18deu
kops.sourcefield.plainBARTZ-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_18eng
kops.title.conferenceParallel Problem Solving from Nature - PPSN XIII, 13th International Conferenceeng
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source.contributor.editorBartz-Beielstein, Thomas
source.contributor.editorBranke, Jürgen
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source.titleParallel Problem Solving from Nature : PPSN XIII, 13th International Conference, Proceedingseng

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