Linear transformation of binary random vectors and its application to approximating probability distributions

Tzay Y. Young; Philip S. Liu

doi:10.1109/TIT.1978.1055866

Linear transformation of binary random vectors and its application to approximating probability distributions

Tzay Y. Young, Philip S. Liu

Electrical & Computer Engineering

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Abstract

A nonsingular transformation of binary-valued random vectors y equals xA which minimizes a mutual information criterion I(y) is considered. It is shown that a nonsingular A exists such that I(y) equals 0 if and only if x has a generalized binomial distribution. Computational algorithms for seeking an optimal A are developed, and dimensionality reduction is discussed briefly. This linear transformation is useful in improving the approximation of probability distributions. Numerical examples are presented.

Original language	English (US)
Pages (from-to)	152-156
Number of pages	5
Journal	IEEE Transactions on Information Theory
Volume	24
Issue number	2
DOIs	https://doi.org/10.1109/TIT.1978.1055866
State	Published - Mar 1978

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/TIT.1978.1055866

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Linear transformation of binary random vectors and its application to approximating probability distributions

Abstract

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