{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T09:55:20Z","timestamp":1740131720317,"version":"3.37.3"},"reference-count":66,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100010002","name":"Ministry of Education","doi-asserted-by":"publisher","award":["R-146-000-250-133","R-146-000-312-114","MOE-T2EP20121-0013"],"award-info":[{"award-number":["R-146-000-250-133","R-146-000-312-114","MOE-T2EP20121-0013"]}],"id":[{"id":"10.13039\/100010002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science (JSPS) KAKENHI","doi-asserted-by":"publisher","award":["JP19K11838"],"award-info":[{"award-number":["JP19K11838"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"JSPS KAKENHI","doi-asserted-by":"publisher","award":["JP18H01124","JP20K20884","JP20H00119","JP16H06338","JP21H04432"],"award-info":[{"award-number":["JP18H01124","JP20K20884","JP20H00119","JP16H06338","JP21H04432"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002241","name":"Japan Science and Technology Agency (JST) Core Research for Evolutional Science and Technology (CREST) Mathematics","doi-asserted-by":"publisher","award":["15656429"],"award-info":[{"award-number":["15656429"]}],"id":[{"id":"10.13039\/501100002241","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2022,8]]},"DOI":"10.1109\/tit.2022.3163604","type":"journal-article","created":{"date-parts":[[2022,4,7]],"date-time":"2022-04-07T19:28:43Z","timestamp":1649359723000},"page":"5513-5534","source":"Crossref","is-referenced-by-count":2,"title":["Disordered Complex Networks: Energy Optimal Lattices and Persistent Homology"],"prefix":"10.1109","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8429-4207","authenticated-orcid":false,"given":"Subhroshekhar","family":"Ghosh","sequence":"first","affiliation":[{"name":"Department of Mathematics, National University of Singapore, Singapore"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9887-0933","authenticated-orcid":false,"given":"Naoto","family":"Miyoshi","sequence":"additional","affiliation":[{"name":"Department of Mathematical and Computing Science, Tokyo Institute of Technology, Tokyo, Japan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6269-5387","authenticated-orcid":false,"given":"Tomoyuki","family":"Shirai","sequence":"additional","affiliation":[{"name":"Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan"}]}],"member":"263","reference":[{"journal-title":"Minimization of lattice energies From old to new results in dimensions 2 and 3","year":"2017","author":"betermin","key":"ref39"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-011-0397-2"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-005-0488-2"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5128-6"},{"journal-title":"The theory of the Riemann Zeta-Function","year":"1986","author":"titchmarsh","key":"ref31"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2015.2504983"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.4171\/EMSS\/13"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.35.7.371"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-29405-1"},{"journal-title":"Continuous Univariate Distributions","year":"1995","author":"johnson","key":"ref34"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1007\/s13324-017-0205-5"},{"key":"ref62","first-page":"365","article-title":"The leech lattice","volume":"398","author":"borcherds","year":"1985","journal-title":"Proc Roy Soc London A Math Phys Sci"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177698120"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2017.185.3.8"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/978-4-431-54907-9_16"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1986.1057135"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-016-1633-6"},{"key":"ref65","first-page":"lxxiv","article-title":"Sphere packings, lattices and groups","volume":"290","author":"conway","year":"1999","journal-title":"Grundlehren der Mathematischen Wissenschaften"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-004-1146-y"},{"journal-title":"Special Functions and Their Applications","year":"1972","author":"lebedev","key":"ref29"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2010.11.002","article-title":"Spatial networks","volume":"499","author":"barthelemy","year":"2010","journal-title":"Phys Rep"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.crhy.2018.10.001"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1063\/1.1704292"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.68.041113"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-1236(03)00171-X"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2018.03.001"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.5.021020"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-014-1178-5"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-018-3226-5"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-2012-01372-1"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1007\/s11511-011-0061-3"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1007\/978-4-431-54177-6"},{"key":"ref58","first-page":"xii","volume":"70","author":"sandier","year":"2007","journal-title":"Vortices in the Magnetic Ginzburg-Landau Model Progress in Nonlinear Differential Equations and Their Applications"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1016\/0022-3697(57)90083-5"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100038330"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1017\/S2040618500035024"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1017\/S2040618500033906"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1017\/S2040618500035036"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1017\/S2040618500035668"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1017\/9781316677339"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TMC.2007.1000"},{"key":"ref40","first-page":"viii","author":"serfaty","year":"2015","journal-title":"Coulomb Gases and Ginzburg-Landau Vortices"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139043816"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4015-8"},{"key":"ref14","first-page":"x","volume":"51","author":"hough","year":"2009","journal-title":"Zeros of Gaussian Analytic Functions and Determinantal Point Processes"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1017\/S0001867800007394"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2014.2332335"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/GLOCOM.2014.7037373"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s13226-017-0248-1"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/BF01048032"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/INFCOM.2007.221"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/MCOM.2010.5621983"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.2307\/1970079"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2014.2314106"},{"journal-title":"Random Matrices","year":"2004","author":"mehta","key":"ref8"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/1009001"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-006-1276-5"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1561\/1300000006","article-title":"Stochastic geometry and wireless networks: Volume I Theory","volume":"3","author":"baccelli","year":"2010","journal-title":"Found Trends Netw"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1214\/17-AAP1371"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1214\/14-AAP1075"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1002\/bimj.201300150"},{"key":"ref47","first-page":"2004","article-title":"Persistence weighted Gaussian kernel for topological data analysis","volume":"48","author":"kusano","year":"2016","journal-title":"Machine Learning Research"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139696456.008"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1214\/14-AOP927"},{"key":"ref44","first-page":"36","article-title":"What is&#x2026;persistent homology","volume":"58","author":"weinberger","year":"2011","journal-title":"Notices AMS"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/453\/08802"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/9829223\/09750991.pdf?arnumber=9750991","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,29]],"date-time":"2022-08-29T21:24:53Z","timestamp":1661808293000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9750991\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8]]},"references-count":66,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tit.2022.3163604","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2022,8]]}}}