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Syst."],"published-print":{"date-parts":[[2023,4]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Interactions and dynamics are critical mechanisms for multi-agent systems to achieve complex intelligence through the cooperation of simple agents. Yet, inferring interactions of the multi-agent system is still a common and open problem. A new method named K-similarity is designed to measure the global relative similarities for inferring the interactions among multiple agents in this paper. K-similarity is defined to be a synthetic measure of relative similarity on each observation snapshot where regular distances are nonlinearly mapped into a network. Therefore, K-similarity contains the global relative similarity information, and the interaction topology can be inferred from the similarity matrix. It has the potential to transform into distance strictly and detect multi-scale information with various K strategies. Therefore, K-similarity can be flexibly applied to various synchronized dynamical systems with fixed, switching, and time-varying topologies. In the experiments, K-similarity outperforms four benchmark methods in accuracy in most scenarios on both simulated and real datasets, and shows strong stability towards outliers. Furthermore, according to the property of K-similarity we develop a Gaussian Mixture Model (GMM)-based threshold to select probable interactions. Our method contributes to not only similarity measurement in multi-agent systems, but also other global similarity measurement problems.<\/jats:p>","DOI":"10.1007\/s40747-022-00877-5","type":"journal-article","created":{"date-parts":[[2022,10,4]],"date-time":"2022-10-04T14:09:26Z","timestamp":1664892566000},"page":"1671-1686","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A global relative similarity for inferring interactions of multi-agent systems"],"prefix":"10.1007","volume":"9","author":[{"given":"Kongjing","family":"Gu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2999-0541","authenticated-orcid":false,"given":"Xiaojun","family":"Duan","sequence":"additional","affiliation":[]},{"given":"Mingze","family":"Qi","sequence":"additional","affiliation":[]},{"given":"Liang","family":"Yan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,10,4]]},"reference":[{"issue":"2","key":"877_CR1","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/j.anbehav.2005.10.028","volume":"72","author":"E Sirot","year":"2006","unstructured":"Sirot E (2006) Social information, antipredatory vigilance and flight in bird flocks. 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