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Joy Aloysius Thomas (1 January 1963 – 28 September 2020) was an Indian-born American information theorist, author and a senior data scientist at Google.He was known for his contributions to information theory and was the co-author of Elements of Information Theory, a popular text book which he co-authored with Thomas M. Cover.
In this context, either an information-theoretical measure, such as functional clusters (Gerald Edelman and Giulio Tononi's functional clustering model and dynamic core hypothesis (DCH) [47]) or effective information (Tononi's integrated information theory (IIT) of consciousness [48] [49] [50]), is defined (on the basis of a reentrant process ...
Thomas M. Cover [ˈkoʊvər] (August 7, 1938 – March 26, 2012) was an American information theorist and professor jointly in the Departments of Electrical Engineering and Statistics at Stanford University. He devoted almost his entire career to developing the relationship between information theory and statistics.
The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid c. 300 BC. It is a collection of definitions, postulates , propositions ( theorems and constructions ), and mathematical proofs of the propositions.
If one considers the text of every book ever published as a sequence, with each symbol being the text of a complete book, and if there are N published books, and each book is only published once, the estimate of the probability of each book is 1/N, and the entropy (in bits) is −log 2 (1/N) = log 2 (N).
Information theory is the scientific study of the quantification, storage, and communication of information. The field itself was fundamentally established by the work of Claude Shannon in the 1940s, with earlier contributions by Harry Nyquist and Ralph Hartley in the 1920s.
Many of the concepts in information theory have separate definitions and formulas for continuous and discrete cases. For example, entropy is usually defined for discrete random variables, whereas for continuous random variables the related concept of differential entropy, written (), is used (see Cover and Thomas, 2006, chapter 8).
According to Neil Sloane, an AT&T Fellow who co-edited Shannon's large collection of papers in 1993, the perspective introduced by Shannon's communication theory (now called "information theory") is the foundation of the digital revolution, and every device containing a microprocessor or microcontroller is a conceptual descendant of Shannon's ...