Novelty, information and surprise [Documento eletrónico] / by Günther Palm
Language: eng.Country: Germany.Edition Statement: 2nd ed. Publication: Berlin, Heidelberg : Springer Berlin Heidelberg, Springer, 2022Description: XX, 293 p. : il.ISBN: 978-3-662-65875-8.Series: Information Science and StatisticsSubject - Topical Name: Statistics | Biomathematics | Biometry | Pattern recognition systems Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA276.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 95894 |
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This revised edition offers an approach to information theory that is more general than the classical approach of Shannon. Classically, information is defined for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of the probability space Ω) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of Ω, i.e. for a set of possibly overlapping propositions. The generalized information concept is called novelty and it is accompanied by two concepts derived from it, designated as information and surprise, which describe "opposite" versions of novelty, information being related more to classical information theory and surprise being related more to the classical concept of statistical significance. In the discussion of these three concepts and their interrelations several properties or classes of covers are defined, which turn out to be lattices. The book also presents applications of these concepts, mostly in statistics and in neuroscience.
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