2009Unpublished venueRequires access

Analyses on Limitations of Information Theory

Yong Wang

Open publisher page 4 citations

Abstract

The paper analyzes the limitations from the angles of conditional entropy and the expression of information. It is pointed out Shannon's definition of information is not absolute and the probability in the expression of information maybe random variable in practice, but in information theory the probability is treated as a fixed value, then the application of Shannon's theory is limited. It is stated that people would select information that is more reliable but more uncertain than the reverse in practice. The signality of the reliability of information which is ignored in Shannon's information theory is indicated and the clew to measure the reliability of information is given to be the uncertainty of probability.

About this research paper

What this paper is about

The paper analyzes the limitations from the angles of conditional entropy and the expression of information. It is pointed out Shannon's definition of information is not absolute and the probability in the expression of information maybe random variable in practice, but in information theory the probability is treated as a fixed value, then the application of Shannon's theory is limited. It is stated that people would select information that is more reliable but more uncertain than the reverse in practice. The signality of the reliability of information which is ignored in Shannon's information theory is indicated and the clew to measure the reliability of information is given to be the uncertainty of probability.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The paper analyzes the limitations from the angles of conditional entropy and the expression of information. It is pointed out Shannon's definition of information is not absolute and the probability in the expression of information maybe random variable in practice, but in information theory the probability is treated as a fixed value, then the application of Shannon's theory is limited. It is stated that people would select information that is more reliable but more uncertain than the reverse in practice. The signality of the reliability of information which is ignored in Shannon's information theory is indicated and the clew to measure the reliability of information is given to be the uncertainty of probability.

Key concepts: Information theory, Conditional mutual information, Random variable, Information diagram, Expression (computer science), Entropy (arrow of time), Conditional entropy, Computer science

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