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Novelty, Information and Surprise
Buch von Günther Palm
Sprache: Englisch

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Beschreibung
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 ¿) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of ¿, 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.
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 ¿) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of ¿, 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.
Über den Autor

Günther Palm studied mathematics in Hamburg and Tübingen. After completing his studies in mathematics (Master in 1974, Ph.D. in 1975) he worked on nonlinear systems, associative memory and brain theory at the MPI for Biological Cybernetics in Tübingen. In 1983/84 he was a Fellow at the Wissenschaftskolleg in Berlin. From 1988 to 1991 he was professor for theoretical brain research at the University of Düsseldorf. Since then he has served as a professor for computer science and Director of the Institute of Neural Information Processing at the University of Ulm, where his focus is on information theory, pattern recognition, neural networks, and brain modelling.

Zusammenfassung

Definition of useful new concepts: description, novelty, surprise, template

New viewpoint on information theory in relation to (natural) science

New method to analyse neuronal spike trains (burst surprise)

Includes supplementary material: [...]

Inhaltsverzeichnis

Part 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.

Details
Erscheinungsjahr: 2012
Fachbereich: Nachrichtentechnik
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xxiv
248 S.
ISBN-13: 9783642290749
ISBN-10: 3642290744
Sprache: Englisch
Herstellernummer: 86081619
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Palm, Günther
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 21 mm
Von/Mit: Günther Palm
Erscheinungsdatum: 31.08.2012
Gewicht: 0,576 kg
Artikel-ID: 106581242
Über den Autor

Günther Palm studied mathematics in Hamburg and Tübingen. After completing his studies in mathematics (Master in 1974, Ph.D. in 1975) he worked on nonlinear systems, associative memory and brain theory at the MPI for Biological Cybernetics in Tübingen. In 1983/84 he was a Fellow at the Wissenschaftskolleg in Berlin. From 1988 to 1991 he was professor for theoretical brain research at the University of Düsseldorf. Since then he has served as a professor for computer science and Director of the Institute of Neural Information Processing at the University of Ulm, where his focus is on information theory, pattern recognition, neural networks, and brain modelling.

Zusammenfassung

Definition of useful new concepts: description, novelty, surprise, template

New viewpoint on information theory in relation to (natural) science

New method to analyse neuronal spike trains (burst surprise)

Includes supplementary material: [...]

Inhaltsverzeichnis

Part 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.

Details
Erscheinungsjahr: 2012
Fachbereich: Nachrichtentechnik
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xxiv
248 S.
ISBN-13: 9783642290749
ISBN-10: 3642290744
Sprache: Englisch
Herstellernummer: 86081619
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Palm, Günther
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 21 mm
Von/Mit: Günther Palm
Erscheinungsdatum: 31.08.2012
Gewicht: 0,576 kg
Artikel-ID: 106581242
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