Title
Low and Upper Bound of Approximate Sequence for the Entropy Rate of Binary Hidden Markov Processes
Abstract
In the paper, the approximate sequence for entropy of some binary hidden Markov models has been found to have two bound sequences, the low bound sequence and the upper bound sequence. The error bias of the approximate sequence is bound by a geometric sequence with a scale factor less than 1 which decreases quickly to zero. It helps to understand the convergence of entropy rate of generic hidden Markov models, and it provides a theoretical base for estimating the entropy rate of some hidden Markov models at any accuracy.
Year
Venue
Field
2011
CoRR
Mathematical optimization,Entropy rate,Maximum-entropy Markov model,Markov model,Upper and lower bounds,Markov chain,Variable-order Markov model,Hidden Markov model,Mathematics,Hidden semi-Markov model
DocType
Volume
Citations 
Journal
abs/1112.6231
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Shuangping Chen121.13
Jun Li29854.54
Mi Zhou3173.48