Gustavo Deco, Bernd Schürmann

Information Dynamics (eBook, PDF)

Foundations and Applications

• Format: PDF

Produktbeschreibung

This book offers a new, theoretical approach to information dynamics, i.e., information processing in complex dynamical systems. The presentation establishes a consistent theoretical framework for the problem of discovering knowledge behind empirical, dynamical data and addresses applications in information processing and coding in dynamical systems. This will be an essential reference for those in neural computing, information theory, nonlinear dynamics and complex systems modeling.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 281
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461301271
• Artikelnr.: 43986894

Autorenporträt

Dr. Bernd Schürmann, Dozent an der Universität Kaiserslautern, verfügt über langjährige Lehrerfahrung im Grundstudium der Technischen Informatik sowie im Bereich der Fern(hoch)schulen.

Inhaltsangabe

l Introduction.- 2 Dynamical Systems: An Overview 7.- 2.1 Deterministic Dynamical Systems.- 2.3 Statistical Time-Series Analysis.- 3 Statistical Structure Extraction in Dynamical Systems: Parametric Formulation.- 3.1 Basic Concepts of Information Theory.- 3.2 Parametric Estimation : Maximum-Likelihood Principle.- 3.3 Linear Models.- 3.4 Nonlinear Models.- 3.5 Density Estimation.- 3.6 Information-Theoretic Approach to Time-Series Modeling: Redundancy Extraction.- 4 Applications: Parametric Characterization of Time Series.- 4.1 Feedforward Learning : Chaotic Dynamics.- 4.2 Recurrent Learning : Chaotic Dynamics.- 4.3 Dynamical Overtraining and Lyapunov Penalty Term.- 4.4 Feedforward and Recurrent Learning of Biomedical Data.- 4.5 Unsupervised Redundancy-Extraction-Based Modeling: Chaotic Dynamics.- 4.6 Unsupervised Redundancy Extraction Modeling: Biomedical Data.- 5 Statistical Structure Extraction in Dynamical Systems: Nonparametric Formulation.- 5.1 Nonparametric Detection ofStatistical Dependencies in Time Series.- 5.2 Nonparametric Characterization of Dynamics: The Information Flow Concept.- 5.3 Information Flow and Coarse Graining.- 6 Applications: Nonparametric Characterization of Time Series.- 6.1 Detecting Nonlinear Correlations in Time Series.- 6.2 Nonparametric Analysis of Time Series : Optimal Delay Selection.- 6.3 Determining the Information Flow ofDynamical Systems from Continuous Probability Distributions.- 6.4 Dynamical Characterization ofTime Signals: The Integrated Information Flow.- 6.5 Information Flow and Coarse Graining: Numerical Experiments.- 7 Statistical Structure Extraction in Dynamical Systems: Semiparametric Formulation.- 7.1 Markovian Characterization of Univariate Time Series.- 7.2 Markovian Characterization of Multivariate Time Series.- 8 Applications: Semiparametric Characterization of Time Series.- 8.1 Univariate Time Series : Artificial Data.- 8.2 Univariate Time Series: Real-World Data.- 8.3 Multivariate Time Series: Artificial Data.- 8.4 Multivariate Time Series : Tumor Detection in EEG Time Series.- 9 Information Processing and Coding in Spatiotemporal Dynamical Systems: Spiking Networks.- 9.1 Spiking Neurons.- 9.2 Information Processing and Coding in Single Spiking Neurons.- 9.3 Information Processing and Coding in Networks of Spiking Neurons.- 9.4 The Processing and Coding ofDynamical Systems.- 10 Applications: Information Processing and Coding in Spatiotemporal Dynamical Systems.- 10.1 The Binding Problem.- 10.2 Discrimination of Stimulus by Spiking Neural Networks.- 10.3 Numerical Experiments.- Epilogue.- Appendix A Chain Rules, Inequalities and Other Useful Theorems in Information Theory.- A.1 Chain Rules.- A.2 Fundamental Inequalities ofInformation Theory.- Appendix B Univariate and Multivariate Cumulants.- Appendix C Information Flow of Chaotic Systems: Thermodynamical Formulation.- Appendix D Generalized Discriminability by the Spike Response Model ofa Single Spiking Neuron: Analytical Results.- References.