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1. Probability Theory with Applications. Second Edition
by M. M. Rao, R. J. Swift
出版情報: Boston, MA : Springer Science+Business Media, Inc., 2006
シリーズ名: Mathematics and Its Applications ; 582
オンライン: http://dx.doi.org/10.1007/0-387-27731-5
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2. Mathematical Analysis of Problems in the Natural Sciences
by Vladimir Zorich
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
オンライン: http://dx.doi.org/10.1007/978-3-642-14813-2
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3. Towards an Information Theory of Complex Networks : Statistical Methods and Applications. 1
edited by Matthias Dehmer, Frank Emmert-Streib, Alexander Mehler
出版情報: Boston : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-0-8176-4904-3
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4. Selected Unsolved Problems in Coding Theory. 1
by David Joyner, Jon-Lark Kim
出版情報: Boston : Springer Science+Business Media, LLC, 2011
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8256-9
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5. Codes: An Introduction to Information Communication and Cryptography
by N.L. Biggs
出版情報: London : Springer-Verlag London, 2008
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: http://dx.doi.org/10.1007/978-1-84800-273-9
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6. Algebraic Function Fields and Codes
by Henning Stichtenoth
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
シリーズ名: Graduate Texts in Mathematics ; 254
オンライン: http://dx.doi.org/10.1007/978-3-540-76878-4
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7. Novelty, Information and Surprise
by Günther Palm
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
オンライン: http://dx.doi.org/10.1007/978-3-642-29075-6
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目次情報: 続きを見る
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
Part I Surprise and Information of Descriptions: Prerequisites
Improbability and Novelty of Descriptions
Conditional Novelty and Information
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8. Stochastic Networked Control Systems : Stabilization and Optimization under Information Constraints
by Serdar Yüksel, Tamer Başar
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Systems & Control: Foundations & Applications ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-7085-4
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Introduction
Part I Information Structures in Networked Control
Networked Control Systems as Stochastic Team Decision Problems: A General Introduction
Characterization and Comparison of Information Structures
Topological Properties of Information Structures: Comparison, Convergence and Optimization
Part II Stabilization of Networked Control Systems
Coding for Control and Connections with Information Theory
Stochastic Stability and Drift Criteria for Markov Chains in Networked Control
Stochastic Stabilization over Noiseless Channels
Stochastic Stabilization over Noisy Channels
Stabilization of Decentralized Systems over Communication Channels
Part III Optimization in Networked Control: Design of Optimal Policies under Information Constraints
Optimization of Real-Time Coding and Control Policies: Structural and Existence Results
Optimal Coding and Control for Linear Gaussian Systems over Gaussian Channels under Quadratic Cost
Agreement in Teams and the Dynamic Programming Approach under Information Constraints
A Topological Notions and Optimization
B Probability Theory and Stochastic Processes
C Markov Chains, Martingales and Ergodic Processes
D Markov Decision Theory and Optimality of Markov Policies
References
Index
Introduction
Part I Information Structures in Networked Control
Networked Control Systems as Stochastic Team Decision Problems: A General Introduction
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9. Applied Mathematics : Data Compression, Spectral Methods, Fourier Analysis, Wavelets, and Applications
by Charles K. Chui, Qingtang Jiang
出版情報: Paris : Atlantis Press : Imprint: Atlantis Press, 2013
シリーズ名: Mathematics Textbooks for Science and Engineering ; 2
オンライン: http://dx.doi.org/10.2991/978-94-6239-009-6
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Linear Spaces
Linerar Analysis
Spectral Methods and Applications
Frequency-Domain Methods
Data Compression
Fourier Series
Fourier Time-Frequency Methods
Wavelet Transform and Filter Banks
Compactly Supported Wavelets
Wavelet Analysis
Linear Spaces
Linerar Analysis
Spectral Methods and Applications
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10. Modern Problems in Insurance Mathematics
edited by Dmitrii Silvestrov, Anders Martin-Löf
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: EAA Series ;
オンライン: http://dx.doi.org/10.1007/978-3-319-06653-0
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International Cramer Symposium on Insurance Mathematics
Harald Cramer and Insurance Mathematics
100 Years of the Scandinavian Actuarial Journal
A Note on Gerber–Shiu Functions with an Application
Improved Asymptotics for Ruin Probabilities
Exponential Asymptotical Expansions for Ruin Probability in a Classical Risk Process with Non-Polynomial Perturbations
Asymptotics of Ruin Probabilities for Perturbed Discrete Time Risk Processes
Coherent Risk Measures under Dominated Variation
Estimation of the Ruin Probability in Infinite Time for Heavy Right-Tailed Losses
A Simulation-Based ALM Model in Practical Use by a Norwegian Life Insurance Company
Predicting Future Claims Among High Risk Policyholders Using Random Effects
Disability Insurance Claims Study by a Homogeneous Discrete Time Alternating Renewal Process
Analysis of the Stochasticity of Mortality Using Variance Decomposition
The Impact of Stress Factors on the Price of Widow’s Pensions
The Design of an Optimal Bonus-Malus System Based on the Sichel Distribution
Bonus-Malus Systems in Open and Closed Portfolios
Large Deviations for a Damped Telegraph Process
Probabilistic Choice with an Infinite Set of Options – an Approach Based on Random Sup Measures
Generalisation of the Damping Factor in PageRank for Weighted Networks
Asian Options, Jump-Diffusion Processes on a Lattice and Vandermonde Matrices
Option Pricing and CVaR Hedging in the Regime-Switching Telegraph Market Model
International Cramer Symposium on Insurance Mathematics
Harald Cramer and Insurance Mathematics
100 Years of the Scandinavian Actuarial Journal
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11. Sampling Theory, a Renaissance : Compressive Sensing and Other Developments. 1st ed. 2015
edited by Götz E. Pfander
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-3-319-19749-4
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Part I: Sparsity Models
Estimation in High Dimensions: A Geometric Perspective
Convex Recovery of a Structured Signal from Independent Random Linear Measurements
Low Complexity Regularization of Linear Inverse Problems
Part II: Frames with Benefits
Noise-shaping Quantization Methods for Frame-based and Compressive Sampling Systems
Fourier Operations in Applied Harmonic Analysis
The Fundamentals of Spectral Tetris Frame Constructions
Part III: Bandlimitation Recast
System Approximation and Generalized Measurements in Modern Sampling Theory
Entire Functions in Generalized Bernstein Spaces and Their Growth Behavior
Sampling and Geometry
A Sheaf-theoretic Perspective on Sampling
Part IV: Solutions of Parametric PDEs
How to Best Sample a Solution Manifold?
On the Stability of Polynomial Interpolation using Hierarchical Sampling
Part V: Implementation
OperA: Operator-based Annihilation for Finite-Rate-of-Innovation Signal Sampling
Digital Adaptive Calibration of Data Converters using Independent Component Analysis
Part I: Sparsity Models
Estimation in High Dimensions: A Geometric Perspective
Convex Recovery of a Structured Signal from Independent Random Linear Measurements
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12. Algebra for Applications : Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression. 1st ed. 2015
by Arkadii Slinko
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: http://dx.doi.org/10.1007/978-3-319-21951-6
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Integers
Cryptology
Groups
Fields
Polynomials
Secret Sharing
Error-Correcting Codes
Compression
Appendix A: GAP
Appendix B: Miscellanies
Solutions to Exercises
Integers
Cryptology
Groups
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13. Analysis and Probability Wavelets, Signals, Fractals
by Palle E.T. Jorgensen
出版情報: New York, NY : Springer Science+Business Media, LLC, 2006
シリーズ名: Graduate Texts in Mathematics ; 234
オンライン: http://dx.doi.org/10.1007/978-0-387-33082-2
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14. Wireless Communications
edited by Prathima Agrawal, Philip J. Fleming, Lisa Zhang, Daniel Matthew Andrews, George Yin
出版情報: New York, NY : Springer-Verlag New York, 2007
シリーズ名: The IMA Volumes in Mathematics and its Applications ; 143
オンライン: http://dx.doi.org/10.1007/978-0-387-48945-2
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15. An Introduction to Mathematical Cryptography
by J.H. Silverman, Jill Pipher, Jeffrey Hoffstein
出版情報: New York, NY : Springer-Verlag New York, 2008
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-77993-5
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16. Concentration Inequalities and Model Selection : Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003
by Pascal Massart ; edited by Jean Picard
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1896
オンライン: http://dx.doi.org/10.1007/978-3-540-48503-2
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17. Affine Density in Wavelet Analysis
by Gitta Kutyniok
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1914
オンライン: http://dx.doi.org/10.1007/978-3-540-72949-5
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18. A Theory of Shape Identification
by Frédéric Cao, José-Luis Lisani, Jean-Michel Morel, Pablo Musé, Frédéric Sur ; edited by J. -M. Morel, F. Takens, B. Teissier
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1948
オンライン: http://dx.doi.org/10.1007/978-3-540-68481-7
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19. Partial Inner Product Spaces : Theory and Applications
by Jean-Pierre Antoine, Camillo Trapani
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1986
オンライン: http://dx.doi.org/10.1007/978-3-642-05136-4
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20. Geometric Description of Images as Topographic Maps
by Vicent Caselles, Pascal Monasse
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1984
オンライン: http://dx.doi.org/10.1007/978-3-642-04611-7
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