DocumentCode :
928353
Title :
Linear transformation of binary random vectors and its application to approximating probability distributions
Author :
Young, Tzay Y. ; Liu, Philip S.
Volume :
24
Issue :
2
fYear :
1978
fDate :
3/1/1978 12:00:00 AM
Firstpage :
152
Lastpage :
156
Abstract :
A nonsingular linear transformation of binary-valued random vectors 
which minimizes a mutual information criterion I(y) is considered. It is shown that a nonsingular A exists such that 
if and only if 
has a generalized binomial distribution. Computational algorithms for seeking an optimal 
are developed, and dimensionality reduction is discussed briefly. This linear transformation is useful in improving the approximation of probability distributions. Numerical examples are presented.
which minimizes a mutual information criterion I(y) is considered. It is shown that a nonsingular A exists such that if and only if has a generalized binomial distribution. Computational algorithms for seeking an optimal are developed, and dimensionality reduction is discussed briefly. This linear transformation is useful in improving the approximation of probability distributions. Numerical examples are presented.Keywords :
Approximation methods; Entropy functions; Matrices; Probability functions; Entropy; Galois fields; Mutual information; Pattern recognition; Probability distribution; Vectors;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1978.1055866
Filename :
1055866
Link To Document :
