{"title":"马尔可夫随机场的信息论表征及其应用","authors":"Raymond W. Yeung, Tony T. Lee, Z. Ye","doi":"10.1109/ISIT.1998.708657","DOIUrl":null,"url":null,"abstract":"We obtain a non-redundant characterization of a Markov random field (MRF) in terms of the unconditional joint entropies of the random variables involved. A canonical form for information expressions conditioning on a MRF is identified, and the dimension of the Shannon's information measures of a MRF is determined.","PeriodicalId":133728,"journal":{"name":"Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252)","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"An information-theoretic characterization of Markov random fields and its applications\",\"authors\":\"Raymond W. Yeung, Tony T. Lee, Z. Ye\",\"doi\":\"10.1109/ISIT.1998.708657\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We obtain a non-redundant characterization of a Markov random field (MRF) in terms of the unconditional joint entropies of the random variables involved. A canonical form for information expressions conditioning on a MRF is identified, and the dimension of the Shannon's information measures of a MRF is determined.\",\"PeriodicalId\":133728,\"journal\":{\"name\":\"Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252)\",\"volume\":\"51 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-08-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.1998.708657\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.1998.708657","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An information-theoretic characterization of Markov random fields and its applications
We obtain a non-redundant characterization of a Markov random field (MRF) in terms of the unconditional joint entropies of the random variables involved. A canonical form for information expressions conditioning on a MRF is identified, and the dimension of the Shannon's information measures of a MRF is determined.