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Sys."],"published-print":{"date-parts":[[2026,3]]},"abstract":"<jats:p>To address the Multi-agent Visibility-based Persistent Monitoring (MVPM) problem using clustered unmanned systems, we propose an enhanced Q-value mixing network named KAN-Mix, which incorporates Kolmogorov\u2013Arnold networks. Additionally, we design the MVPM reward based on information entropy, introducing information dynamics and probability theory into the framework. Comprehensive experiments validate the performance of KAN-Mix, demonstrating significant improvements in both coverage rate and intruder detection rate compared to the original QMIX method. Our algorithm demonstrates a performance improvement of 6\u201312.3% in the coverage rate of maps compared to the QMIX algorithm across three distinct maps. Additionally, it exhibits a significantly higher catch rate than both learning-based and traditional algorithms, with some maps achieving success rates of up to 100%. The average number of catch steps required to capture intruders ranks among the top two on all maps. The entropy-based reward outperforms the traditional coverage-based reward by 6.4\u201358.3% in coverage and by 6\u201361.9% in the number of catch steps. The entropy-based reward is shown to be more effective than the traditional coverage-based rewards. Combining these advantages, KAN-Mix delivers superior results compared to all standard Q-value strategies.<\/jats:p>","DOI":"10.1142\/s2301385026500032","type":"journal-article","created":{"date-parts":[[2024,12,31]],"date-time":"2024-12-31T02:51:07Z","timestamp":1735613467000},"page":"341-356","source":"Crossref","is-referenced-by-count":1,"title":["A Multi-Agent Visibility-Based Persistent Monitoring Method Using a KAN-Mix Network"],"prefix":"10.1142","volume":"14","author":[{"given":"Jun","family":"Luo","sequence":"first","affiliation":[{"name":"Shanghai Key Laboratory of Intelligent Manufacturing and Robotics, Shanghai University, No. 99 Shangda Road, Shanghai 200444, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xi","family":"Chen","sequence":"additional","affiliation":[{"name":"Shanghai Key Laboratory of Intelligent Manufacturing and Robotics, Shanghai University, No. 99 Shangda Road, Shanghai 200444, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junye","family":"Wu","sequence":"additional","affiliation":[{"name":"Shanghai Key Laboratory of Intelligent Manufacturing and Robotics, Shanghai University, No. 99 Shangda Road, Shanghai 200444, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenbo","family":"Hui","sequence":"additional","affiliation":[{"name":"Shanghai Key Laboratory of Intelligent Manufacturing and Robotics, Shanghai University, No. 99 Shangda Road, Shanghai 200444, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bowen","family":"Yang","sequence":"additional","affiliation":[{"name":"Shanghai Key Laboratory of Intelligent Manufacturing and Robotics, Shanghai University, No. 99 Shangda Road, Shanghai 200444, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6517-2917","authenticated-orcid":false,"given":"Yangmin","family":"Xie","sequence":"additional","affiliation":[{"name":"Shanghai Key Laboratory of Intelligent Manufacturing and Robotics, Shanghai University, No. 99 Shangda Road, Shanghai 200444, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,3,18]]},"reference":[{"key":"S2301385026500032BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/IROS51168.2021.9635898"},{"key":"S2301385026500032BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-28645-5_48"},{"key":"S2301385026500032BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s43154-022-00078-5"},{"key":"S2301385026500032BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/ICRA.2011.5980251"},{"key":"S2301385026500032BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2039240"},{"key":"S2301385026500032BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2019.2906473"},{"key":"S2301385026500032BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2018.2844120"},{"key":"S2301385026500032BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s10846-016-0461-x"},{"key":"S2301385026500032BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s10846-018-0787-7"},{"key":"S2301385026500032BIB010","doi-asserted-by":"publisher","DOI":"10.1108\/AJEB-01-2024-0007"},{"key":"S2301385026500032BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.meaene.2024.100001"},{"key":"S2301385026500032BIB012","doi-asserted-by":"publisher","DOI":"10.18282\/gfr.v6i1.3491"},{"key":"S2301385026500032BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-024-09531-2"},{"key":"S2301385026500032BIB014","doi-asserted-by":"publisher","DOI":"10.1108\/JM2-12-2023-0315"},{"key":"S2301385026500032BIB015","doi-asserted-by":"publisher","DOI":"10.1177\/03019233241297720"},{"key":"S2301385026500032BIB016","doi-asserted-by":"publisher","DOI":"10.1177\/03019233241249361"},{"key":"S2301385026500032BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-26564-8_2"},{"key":"S2301385026500032BIB018","doi-asserted-by":"publisher","DOI":"10.1109\/ICUS50048.2020.9275003"},{"key":"S2301385026500032BIB019","unstructured":"N. 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