期刊文献+

隐Markov模型互信息率存在定理

Existence Theorem of Mutual Information Rate for Hidden Markov Models
下载PDF
导出
摘要 引入隐Markov模型及其互信息率的定义,利用Cesaro平均收敛给出隐Markov模型的Cesaro平均收敛定理,证明可列隐Markov模型的互信息率存在定理,结合文献[7]中的方法,得到一个有限隐Markov模型的互信息率存在定理。 Introduce the definitions of hidden Markov models and mutual informationrate for it. Give a Cesaro average convergence theorem for hidden Markov models by using Cesaro average convergence, and prove an existence theorem of information rate for countable hidden Markov models, then obtain an existence theorem of information rate for finite hidden Markov models by using the method in [7].
作者 王雅芳
机构地区 江苏大学理学院
出处 《安徽工业大学学报(自然科学版)》 CAS 2007年第4期437-441,共5页 Journal of Anhui University of Technology(Natural Science)
基金 国家自然科学基金项目(10571076)
关键词 隐MARKOV模型 Cesaro平均收敛 互信息率 hidden Markov models Cesaro average convergence mutual information rate
  • 相关文献

参考文献7

  • 1Brain G Leroox.Maximum-likehood estimation for HMM[J].Stochastic prosses and their Appl,1992,40:127-143. 被引量:1
  • 2Bickel P J,Ratof Y,Ryden T.Asymptotic normality for the maximum likehood estimates for general hidden Markov Models[J].Annals of Statistics,1998,26(4):1614-1635. 被引量:1
  • 3陈双平,郑浩然,童庆,王煦法.二态隐马尔可夫过程熵率的逼近算法[J].电子学报,2006,34(3):499-502. 被引量:1
  • 4龚光鲁,钱敏平著..应用随机过程教程 及在算法和智能计算中的随机模型[M].北京:清华大学出版社,2004:457.
  • 5Yang Weiguo.Covergence in the Cesaro sense and strong law of large numbers for Nonhomogeneous Markov chains[J].Linear Algebra and its Applications,2002,354:275-288. 被引量:1
  • 6Thomas M Cover,Joy A Thomas.Elements of Information Theory[M].New York:Wiley,1991:19-20. 被引量:1
  • 7杨卫国.非齐马氏链熵率存在定理[J].数学的实践与认识,1993,23(2):86-90. 被引量:13

二级参考文献11

  • 1Rabiner L R.A tutorial on hidden markov models and selected applications in speech recognition[J].Proceedings of the IEEE,1989,77 (2):257-286. 被引量:1
  • 2Baldi P,Brunak S.Bioinformatics:the machine learning approach[M].Cambridge,MA:MIT Press,2001. 被引量:1
  • 3Durbin R,Eddy S,Krogh A,Mitchison G.Biological sequence Analysis:probabilistic models of proteins and nucleic acids[M].London:Cambridge University Press,1998. 被引量:1
  • 4Jacquet P,Seroussi G,Szpankowski W.On the entropy of a hidden markov process[A].In:Proceeding of the Data Compression Conference (DCC'04)[C].Snowbird,UT,USA,2004.362-371. 被引量:1
  • 5Cover T M,Thomas J A.Elements of Information Theory[M].New York:Wiley,1991. 被引量:1
  • 6Zuk O,Kanter I,DomanyE.Asymptotics of the entropy rate for a hidden markov process[A].2005 Data Compression Conference (DCC'2005)[C].Snowbird,Utah,USA,2005.173-182. 被引量:1
  • 7Ordentlich E,Weissman T.On the optimality of symbol by symbol filtering and denoising[EB/OL].HPL-2003-254,http://www.hpl.hp.com/techreports/2003/HPL-2003-254.html,2004-01-07. 被引量:1
  • 8Ordentlich E,Weissman T.New bounds on the entropy rate of hidden markov processes[EB/OL].http://wcl3.tamu.edu/itw2004/program/weissman_ inv.pdf,2004-10-24. 被引量:1
  • 9Chen S,Zheng H,Liu H,Wang X.Estimators for the entropy rate of binary hidden markov processes[EB/OL].http://prep.istic.ac.cn/docs/1111587263574.html,2005-03-23. 被引量:1
  • 10Ephraim Y,Merhav N.Hidden markov processes[J].IEEE Trans Inform Theory,2002,48(6):1518 -1569. 被引量:1

共引文献12

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部