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Download as PDF; Printable version ... Information theory is based on probability ... is the pointwise mutual information. A basic property of the mutual information ...
Donald M. MacKay says that information is a distinction that makes a difference. [4] According to Luciano Floridi [citation needed], four kinds of mutually compatible phenomena are commonly referred to as "information": Information about something (e.g. a train timetable) Information as something (e.g. DNA, or fingerprints)
The publication of Shannon's 1948 paper, "A Mathematical Theory of Communication", in the Bell System Technical Journal was the founding of information theory as we know it today. Many developments and applications of the theory have taken place since then, which have made many modern devices for data communication and storage such as CD-ROMs ...
It has tens of thousands of citations, being one of the most influential and cited scientific papers of all time, [6] as it gave rise to the field of information theory, with Scientific American referring to the paper as the "Magna Carta of the Information Age", [7] while the electrical engineer Robert G. Gallager called the paper a "blueprint ...
There is an analogy between Shannon's basic "measures" of the information content of random variables and a measure over sets. Namely the joint entropy , conditional entropy , and mutual information can be considered as the measure of a set union , set difference , and set intersection , respectively (Reza pp. 106–108).
An information diagram is a type of Venn diagram used in information theory to illustrate relationships among Shannon's basic measures of information: entropy, joint entropy, conditional entropy and mutual information. [1] [2] Information
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Algorithmic information theory (AIT) is the information theory of individual objects, using computer science, and concerns itself with the relationship between computation, information, and randomness. The information content or complexity of an object can be measured by the length of its shortest description. For instance the string