Alessandro Villa; Wlodzislaw Duch; Peter Erdi; Francesco Masulli; Günther Palm Springer-Verlag Berlin and Heidelberg GmbH & Co. KG (2012) Saatavuus: Tilaustuote Pehmeäkantinen kirja
Alessandro Villa (ed.); Włodzisław Duch (ed.); Péter Érdi (ed.); Francesco Masulli (ed.); Günther Palm (ed.) Springer (2012) Saatavuus: Tilaustuote Pehmeäkantinen kirja
Stefan Wermter; Cornelius Weber; Wlodzislaw Duch; Timo Honkela; Petia Koprinkova-Hristova; Sven Magg; Günther Palm; Villa Springer International Publishing AG (2014) Saatavuus: Tilaustuote Pehmeäkantinen kirja
Springer Sivumäärä: 248 sivua Asu: Pehmeäkantinen kirja Painos: 2012 Julkaisuvuosi: 2014, 20.09.2014 (lisätietoa) Kieli: Englanti
The book offers a new approach to information theory that is more general then the classical approach by Shannon. The classical definition of information is given 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 new 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 new concepts, mostly in statistics and in neuroscience.
