@inproceedings{59056512a66e488ba1633ef1cb7e190d,
title = "Derivation of a micro-macro link for collective decision-making systems uncover network features based on drift measurements",
abstract = "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 (macromodel) 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.",
author = "Heiko Hamann and Gabriele Valentini and Yara Khaluf and Marco Dorigo",
year = "2014",
month = sep,
doi = "10.1007/978-3-319-10762-2_18",
language = "English",
isbn = "9783319107615",
volume = "8672",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer",
pages = "181--190",
editor = "T. Bartz-Beielstein and J. Branke and B. Filipic and J. Smith",
booktitle = "Parallel Problem Solving from Nature -- PPSN XIII",
address = "Germany",
note = "Parallel Problem Solving from Nature -- PPSN XIII : 13th International Conference ; Conference date: 13-09-2014 Through 17-09-2022",
}