Mutual Information and Relative Entropy of Sequential Effect Algebras

被引：1

作者：

汪加梅 ^{[1
]}

武俊德 ^{[1
]}

Cho Minhyung ^{[2
]}

机构：

[1] Department of Mathematics,Zhejiang University

[2] Department of Applied Mathematics,Kumoh National Institute of Technology

来源：

Communications in Theoretical Physics | 2010年 / 54卷 / 08期

关键词：

sequential effect algebra; mutual information; relative entropy;

D O I：

暂无

中图分类号：

O153 [抽象代数（近世代数）];

学科分类号：

070104 ;

摘要：

In this paper,we introduce and investigate the mutual information and relative entropy on the sequentialeffect algebra,we also give a comparison of these mutual information and relative entropy with the classical ones by thevenn diagrams.Finally,a nice example shows that the entropies of sequential effect algebra depend extremely on theorder of its sequential product.

引用

页码：215 / 218

页数：4

共 50 条

[21] Estimation of entropy and mutual information
Paninski, L
NEURAL COMPUTATION, 2003, 15 (06) : 1191 - 1253
[22] Mutual Information Is Copula Entropy
马健
孙增圻
Tsinghua Science and Technology, 2011, 16 (01) : 51 - 54
[23] Relative entropy in sequential decision problems
Lehrer, E
Smorodinsky, R
JOURNAL OF MATHEMATICAL ECONOMICS, 2000, 33 (04) : 425 - 439
[24] Entropy of endomorphisms and relative entropy in finite von Neumann algebras
Stormer, E
JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 171 (01) : 34 - 52
[25] On the Entropy and Mutual Information of Point Processes
Baccelli, Francois
Woo, Jae Oh
2016 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, 2016, : 695 - 699
[26] Entanglement, quantum entropy and mutual information
Belavkin, VP
Ohya, M
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 458 (2017): : 209 - 231
[27] Mutual information challenges entropy bounds
Casini, H.
CLASSICAL AND QUANTUM GRAVITY, 2007, 24 (05) : 1293 - 1302
[28] CHARACTERIZATION OF THE RELATIVE ENTROPY OF STATES OF MATRIX ALGEBRAS
PETZ, D
ACTA MATHEMATICA HUNGARICA, 1992, 59 (3-4) : 449 - 455
[29] Entropy rate estimates from mutual information
Wissman, B. D.
McKay-Jones, L. C.
Binder, P. -M.
PHYSICAL REVIEW E, 2011, 84 (04):
[30] Sequential Detection With Mutual Information Stopping Cost
Krishnamurthy, Vikram
Bitmead, Robert R.
Gevers, Michel
Miehling, Erik
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2012, 60 (02) : 700 - 714

← 1 2 3 4 5 →