Mutual information decay for factors of i.i.d.
نویسندگان
چکیده
منابع مشابه
Factors of IID on Trees
Classical ergodic theory for integer-group actions uses entropy as a complete invariant for isomorphism of IID (independent, identically distributed) processes (a.k.a. product measures). This theory holds for amenable groups as well. Despite recent spectacular progress of Bowen, the situation for non-amenable groups, including free groups, is still largely mysterious. We present some illustrati...
متن کاملClustering of a Number of Genes Affecting in Milk Production using Information Theory and Mutual Information
Information theory is a branch of mathematics. Information theory is used in genetic and bioinformatics analyses and can be used for many analyses related to the biological structures and sequences. Bio-computational grouping of genes facilitates genetic analysis, sequencing and structural-based analyses. In this study, after retrieving gene and exon DNA sequences affecting milk yield in dairy ...
متن کاملOn Classification of Bivariate Distributions Based on Mutual Information
Among all measures of independence between random variables, mutual information is the only one that is based on information theory. Mutual information takes into account of all kinds of dependencies between variables, i.e., both the linear and non-linear dependencies. In this paper we have classified some well-known bivariate distributions into two classes of distributions based on their mutua...
متن کاملreducing interpolation artifacts for mutual information based image registration
medical image registration methods which use mutual information as similarity measure have been improved in recent decades. mutual information is a basic concept of information theory which indicates the dependency of two random variables (or two images). in order to evaluate the mutual information of two images their joint probability distribution is required. several interpolation methods, su...
متن کاملUncertainty relation for mutual information
James Schneeloch,1,2 Curtis J. Broadbent,1,2,3 and John C. Howell1,2 1Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA 2Center for Coherence and Quantum Optics, University of Rochester, Rochester, New York 14627, USA 3Rochester Theory Center, University of Rochester, Rochester, New York 14627, USA (Received 25 April 2014; revised manuscript received 2...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2018
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2018.3