000 03810nam a22005175i 4500
001 978-3-642-29075-6
003 DE-He213
005 20140220083315.0
007 cr nn 008mamaa
008 120830s2012 gw | s |||| 0|eng d
020 _a9783642290756
_9978-3-642-29075-6
024 7 _a10.1007/978-3-642-29075-6
_2doi
050 4 _aQ350-390
050 4 _aQA10.4
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aPalm, Günther.
_eauthor.
245 1 0 _aNovelty, Information and Surprise
_h[electronic resource] /
_cby Günther Palm.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
300 _aXXIII, 248 p. 28 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPart I Surprise and Information of Descriptions: Prerequisites -- Improbability and Novelty of Descriptions -- Conditional Novelty and Information -- Part II Coding and Information Transmission: On Guessing and Coding -- Information Transmission -- Part III Information Rate and Channel Capacity: Stationary Processes and Information Rate -- Channel Capacity -- Shannon's Theorem -- Part IV Repertoires and Covers: Repertoires and Descriptions -- Novelty, Information and Surprise of Repertoires -- Conditioning, Mutual Information and Information Gain -- Part V Information, Novelty and Surprise in Science: Information, Novelty and Surprise in Brain Theory -- Surprise from Repetitions and Combination of Surprises -- Entropy in Physics --  Part VI Generalized Information Theory: Order- and Lattice-Structures --  Three Orderings on Repertoires -- Information Theory on Lattices of Covers --  Appendices:  A. Fuzzy Repertoires and Descriptions -- A.1 Basic Definitions --  A.2 Definition and Properties of Fuzzy Repertoires -- Glossary -- Bibliography -- Index.
520 _aThe 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.
650 0 _aMathematics.
650 0 _aArtificial intelligence.
650 0 _aOptical pattern recognition.
650 0 _aNeurobiology.
650 0 _aAlgebra.
650 1 4 _aMathematics.
650 2 4 _aInformation and Communication, Circuits.
650 2 4 _aArtificial Intelligence (incl. Robotics).
650 2 4 _aOrder, Lattices, Ordered Algebraic Structures.
650 2 4 _aPattern Recognition.
650 2 4 _aNeurobiology.
650 2 4 _aMathematical and Computational Biology.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642290749
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-29075-6
912 _aZDB-2-SMA
999 _c102955
_d102955