Bregman divergence and density integration - Collections

＜journal article＞
Bregman divergence and density integration

Creator	Creator Name Murata, Noboru 村田, 昇ムラタ, ノボル Affiliation Affiliation Name Waseda University 早稲田大学
Creator	Creator Name Fujimoto, Yu 藤本, 悠フジモト, ユウ Affiliation Affiliation Name Aoyama Gakuin University 青山学院大学
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2009-10-16
Source Title	Journal of Math-for-Industry (JMI)
Vol	1
Issue	B
First Page	97
Last Page	104
Publication Type	Version of Record
Access Rights	open access
Related DOI	JMI ; 2009B-3
Related DOI	Journal of Math-for-Industry \|\| 1(B) \|\| p97-104
	JMI \|\| 1(B) \|\| p97-104
	http://gcoe-mi.jp/
Related URI	Journal of Math-for-Industry \|\| 1(B) \|\| p97-104
	JMI \|\| 1(B) \|\| p97-104
	http://gcoe-mi.jp/
Relation	JMI ; 2009B-3
	Journal of Math-for-Industry \|\| 1(B) \|\| p97-104
	JMI \|\| 1(B) \|\| p97-104
	http://gcoe-mi.jp/
Abstract	In this paper, a problem of integrating density functions is considered. First, the Bregman divergence in the space of positive finite measures is introduced, and properties of consistent subspaces an...d well-behaved parametric models associated with the Bregman divergence is investigated. Based on those results, a natural method for integration of estimates from the Bregman divergence is derived.show more

File	FileType	Size	Views	Description
JMI2009B-3	pdf	198 KB	191

Record ID	15584
Peer-Reviewed	Refereed
Subject Terms	Bregman divergence
	consistent subspace
	Pythagorean relation
	u-model
	density integration
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	学術雑誌論文
Created Date	2009.10.23
Modified Date	2017.12.11