TY - GEN

T1 - Reducing the space complexity of a bayes coding algorithm using an expanded context tree

AU - Matsushima, Toshiyasu

AU - Hirasawa, Shigeich

PY - 2009

Y1 - 2009

N2 - The context tree models are widely used in a lot of research fields. Patricia[7] like trees are applied to the context trees that are expanded according to the increase of the length of a source sequence in the previous researches of non-predictive source coding and model selection. The space complexity of the Patricia like context trees are O(t) where t is the length of a source sequence. On the other hand, the predictive Bayes source coding algorithm cannot use a Patricia like context tree, because it is difficult to hold and update the posterior probability parameters on a Patricia like tree. So the space complexity of the expanded trees in the predictive Bayes coding algorithm is O(t2). In this paper, we propose an efficient predictive Bayes coding algorithm using a new representation of the posterior probability parameters and the compact context tree holding the parameters whose space complexity is O(t).

AB - The context tree models are widely used in a lot of research fields. Patricia[7] like trees are applied to the context trees that are expanded according to the increase of the length of a source sequence in the previous researches of non-predictive source coding and model selection. The space complexity of the Patricia like context trees are O(t) where t is the length of a source sequence. On the other hand, the predictive Bayes source coding algorithm cannot use a Patricia like context tree, because it is difficult to hold and update the posterior probability parameters on a Patricia like tree. So the space complexity of the expanded trees in the predictive Bayes coding algorithm is O(t2). In this paper, we propose an efficient predictive Bayes coding algorithm using a new representation of the posterior probability parameters and the compact context tree holding the parameters whose space complexity is O(t).

UR - http://www.scopus.com/inward/record.url?scp=70449463512&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70449463512&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2009.5205677

DO - 10.1109/ISIT.2009.5205677

M3 - Conference contribution

AN - SCOPUS:70449463512

SN - 9781424443130

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 719

EP - 723

BT - 2009 IEEE International Symposium on Information Theory, ISIT 2009

T2 - 2009 IEEE International Symposium on Information Theory, ISIT 2009

Y2 - 28 June 2009 through 3 July 2009

ER -