Exponential curvature of Markov models

Junnichi Takeuchi, Tsutomu Kawabata

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

6 被引用数 (Scopus)

抄録

We prove that the non FSMX tree model is not an exponential family. It is noted in [Weinberger et al., 95] that the tree source is classified into two classes; a FSMX source or not, depending on shape of the context tree. The FSMX source is a tree source and a finite state machine. It is known that the FSMX model is an exponential family. In this situation our concern is whether the non FSMX tree model is an exponential family or not. This paper's contribution is to show that the non FSMX tree model is not an exponential family. Hence, for the tree model, to be an FSMX model is a necessary and sufficient condition for to be an exponential family.

本文言語英語
ホスト出版物のタイトルProceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007
ページ2891-2895
ページ数5
DOI
出版ステータス出版済み - 12 1 2007
イベント2007 IEEE International Symposium on Information Theory, ISIT 2007 - Nice, フランス
継続期間: 6 24 20076 29 2007

出版物シリーズ

名前IEEE International Symposium on Information Theory - Proceedings
ISSN(印刷版)2157-8101

その他

その他2007 IEEE International Symposium on Information Theory, ISIT 2007
Countryフランス
CityNice
Period6/24/076/29/07

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Modelling and Simulation
  • Applied Mathematics

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