Presentation	2013-09-02 Entropy and non-Additivity Masaru TANAKA,
PDF Download Page	PDF download Page Link
Abstract(in Japanese)	(See Japanese page)
Abstract(in English)	Here we give an entropy through a contraction of a renormalized τ-log-likelihood with τ=1-s and a negative τ-log-likelihood with τ=s. Conformal entropy is also given by using a regularized contraction. This entropy is related to Tsallis entropy with a simple modification and gives two types of non-additivity according to formulae of τ-logarithmic function for multiplication. We define a divergence and then give a generalized Pythagorean theorem. It is also considered that an orthogonal decomposition of a vector space RC2. Using this orthogonal decomposition, the Cramer-Rao inequality is derived directly.
Keyword(in Japanese)	(See Japanese page)
Keyword(in English)	entropy / non-additivity / divergence / generalized Pythagorean theorem / Cramer-Rao inequality
Paper #	PRMU2013-39,IBISML2013-19
Date of Issue

Conference Information
Committee	PRMU
Conference Date	2013/8/26(1days)
Place (in Japanese)	(See Japanese page)
Place (in English)
Topics (in Japanese)	(See Japanese page)
Topics (in English)
Chair
Vice Chair
Secretary
Assistant

Paper Information
Registration To	Pattern Recognition and Media Understanding (PRMU)
Language	JPN
Title (in Japanese)	(See Japanese page)
Sub Title (in Japanese)	(See Japanese page)
Title (in English)	Entropy and non-Additivity
Sub Title (in English)
Keyword(1)	entropy
Keyword(2)	non-additivity
Keyword(3)	divergence
Keyword(4)	generalized Pythagorean theorem
Keyword(5)	Cramer-Rao inequality
1st Author's Name	Masaru TANAKA
1st Author's Affiliation	Faculty of Science, Fukuoka University()
Date	2013-09-02
Paper #	PRMU2013-39,IBISML2013-19
Volume (vol)	vol.113
Number (no)	196
Page	pp.pp.-
#Pages	8
Date of Issue