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Conservation of mutual and directed information

Massey, James L. (author)
Lund University,Lunds universitet,Institutionen för elektro- och informationsteknik,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Electrical and Information Technology,Departments at LTH,Faculty of Engineering, LTH
Massey, P (author)
 (creator_code:org_t)
2005
2005
English.
In: 2005 IEEE International Symposium on Information Theory (ISIT). - 0780391500 ; , s. 157-158
  • Conference paper (peer-reviewed)
Abstract Subject headings
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  • Two conservation laws for mutual information in terms of directed informations between two synchronized sequences of random variables are derived, the first for the case of no conditioning and the second for the case of causal conditioning on a third synchronized sequence. As a byproduct of the derivation of the first conservation law, the directed information specifying the feedback flowing from the second sequence to the first sequence is identified, which leads to a simple proof that a previously known sufficient condition for equality of mutual and directed information is also a necessary condition

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)

Keyword

conservation law
directed informations
causal conditioning
synchronized sequences
random variables

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