{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,23]],"date-time":"2024-10-23T06:45:50Z","timestamp":1729665950870,"version":"3.28.0"},"reference-count":22,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017,11]]},"DOI":"10.1109\/itw.2017.8277985","type":"proceedings-article","created":{"date-parts":[[2018,2,7]],"date-time":"2018-02-07T20:45:14Z","timestamp":1518036314000},"page":"136-140","source":"Crossref","is-referenced-by-count":7,"title":["Double-edge factor graphs: Definition, properties, and examples"],"prefix":"10.1109","author":[{"given":"Michael X.","family":"Cao","sequence":"first","affiliation":[]},{"given":"Pascal O.","family":"Vontobel","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2716422"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2017.8007121"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/18.910573"},{"journal-title":"Quantum Computation and Quantum Information","year":"2000","author":"nielsen","key":"ref13"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-17.2.345"},{"journal-title":"Perron-Frobenius theory for positive maps on trace ideals &#x201D; in Mathematical Physics in Mathematics and Physics Quantum and Operator Algebraic Aspects ser Fields Inst Commun","year":"2001","author":"schrader","key":"ref15"},{"journal-title":"Permanents","year":"1978","author":"minc","key":"ref16"},{"key":"ref17","doi-asserted-by":"crossref","DOI":"10.5948\/UPO9781614440147","author":"ryser","year":"1963","journal-title":"Combinatorial Mathematics (Carus Mathematical Monographs No 14)"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(79)90044-6"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2227109"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2264715"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.850085"},{"key":"ref6","article-title":"The Bethe partition function of log-supermodular graphical models","author":"ruozzi","year":"2012","journal-title":"Proc Neural Info Proc Sys"},{"key":"ref5","first-page":"2031","article-title":"Walk-sums and belief propagation in Gaussian graphical models","volume":"7","author":"malioutov","year":"2006","journal-title":"J Mach Learn Res"},{"key":"ref8","first-page":"651","article-title":"Quantum factor graphs: closing-the-box operation and variational approaches","author":"cao","year":"2016","journal-title":"Proc Int Symp Inf Theory Appl"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.aop.2007.10.001"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2004.1267047"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/18.910572"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2012.6284284"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.4086\/toc.2013.v009a004"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2012.6283654"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2015.7282625"}],"event":{"name":"2017 IEEE Information Theory Workshop (ITW)","start":{"date-parts":[[2017,11,6]]},"location":"Kaohsiung, Taiwan","end":{"date-parts":[[2017,11,10]]}},"container-title":["2017 IEEE Information Theory Workshop (ITW)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8266764\/8277915\/08277985.pdf?arnumber=8277985","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,27]],"date-time":"2020-10-27T21:39:36Z","timestamp":1603834776000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/8277985\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11]]},"references-count":22,"URL":"https:\/\/doi.org\/10.1109\/itw.2017.8277985","relation":{},"subject":[],"published":{"date-parts":[[2017,11]]}}}