{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:31:23Z","timestamp":1760239883377,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,1,16]],"date-time":"2019-01-16T00:00:00Z","timestamp":1547596800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100012025","name":"New York University Abu Dhabi","doi-asserted-by":"publisher","award":["Institute G1301"],"award-info":[{"award-number":["Institute G1301"]}],"id":[{"id":"10.13039\/100012025","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11671259, 11722107, 91630208, 31571071"],"award-info":[{"award-number":["11671259, 11722107, 91630208, 31571071"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"SJTU-UM","award":["Collaborative Research Program"],"award-info":[{"award-number":["Collaborative Research Program"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Maximum entropy principle (MEP) analysis with few non-zero effective interactions successfully characterizes the distribution of dynamical states of pulse-coupled networks in many fields, e.g., in neuroscience. To better understand the underlying mechanism, we found a relation between the dynamical structure, i.e., effective interactions in MEP analysis, and the anatomical coupling structure of pulse-coupled networks and it helps to understand how a sparse coupling structure could lead to a sparse coding by effective interactions. This relation quantitatively displays how the dynamical structure is closely related to the anatomical coupling structure.<\/jats:p>","DOI":"10.3390\/e21010076","type":"journal-article","created":{"date-parts":[[2019,1,17]],"date-time":"2019-01-17T03:02:03Z","timestamp":1547694123000},"page":"76","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Dynamical and Coupling Structure of Pulse-Coupled Networks in Maximum Entropy Analysis"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0627-3520","authenticated-orcid":false,"given":"Zhi-Qin John","family":"Xu","sequence":"first","affiliation":[{"name":"NYUAD Institute, New York University Abu Dhabi, Abu Dhabi 129188, UAE"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Douglas","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, MOE-LSC and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Cai","sequence":"additional","affiliation":[{"name":"NYUAD Institute, New York University Abu Dhabi, Abu Dhabi 129188, UAE"},{"name":"School of Mathematical Sciences, MOE-LSC and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China"},{"name":"Courant Institute of Mathematical Sciences and Center for Neural Science, New York University, New York, NY 10012, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,1,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1645","DOI":"10.1137\/0150098","article-title":"Synchronization of pulse-coupled biological oscillators","volume":"50","author":"Mirollo","year":"1990","journal-title":"SIAM J. 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