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図書

図書
Gerhard Winkler
出版情報: Berlin ; Tokyo : Springer, c2003  xvi, 387 p. ; 25 cm.
シリーズ名: Applications of mathematics ; 27
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Introduction
Bayesian Image Analysis: Introduction / Part I:
The Bayesian Paradigm / 1:
Warming up for Absolute Beginners / 1.1:
linages and Observations / 1.2:
Prior and Posterior Distributions / 1.3:
Bayes Estimators / 1.4:
Cleaning Dirty Pictures / 2:
Boundaries and Their Information Content / 2.1:
Towards Piccewiso Smoothing / 2.2:
Filters, Smoothers, and Bayes Estimators / 2.3:
Boundary Extraction / 2.4:
Dependence on Hyperparameters / 2.5:
Finite Random Fields / 3:
Markov Random Fields / 3.1:
Gibbs Fields and Potentials / 3.2:
Potentials Continued / 3.3:
The Gibbs Sampler and Simulated Annealing / Part II:
Markov Chains: Limit Theorems / 4:
Preliminaries / 4.1:
The Contraction Coefficient / 4.2:
Homogeneous Markov Chains / 4.3:
Exact Sampling / 4.4:
Inhomogeneous Markov Chains / 4.5:
A Law of Large Numbers for Inhomogeneous Chains / 4.6:
A Counterexample for the Law of Large Numbers / 4.7:
Gibbsian Sampling and Annealing / 5:
Sampling / 5.1:
Simulated Annealing / 5.2:
Discussion / 5.3:
Cooling Schedules / 6:
The ICM Algorithm / 6.1:
Exact MAP Estimation Versus Fast Cooling / 6.2:
Finite Time Annealing / 6.3:
Variations of the Gibbs Sampler / Part III:
Gibbsian Sampling and Annealing Revisited / 7:
A General Gibbs Sampler / 7.1:
Sampling and Annealing Under Constraints / 7.2:
Partially Parallel Algorithms / 8:
Synchronous Updating on Independent Sets / 8.1:
The Swendson-Wang Algorithm / 8.2:
Synchronous Algorithms / 9:
Invariant Distributions and Convergence / 9.1:
Support of the Limit Distribution / 9.2:
Synchronous Algorithms and Reversibility / 9.3:
Metropolis Algorithms and Spectral Methods / Part IV:
Metropolis Algorithms / 10:
Metropolis Sampling and Annealing / 10.1:
Convergence Theorems / 10.2:
Best Constants / 10.3:
About Visiting Schemes / 10.4:
Generalizations and Modifications / 10.5:
The Metropolis Algorithm in Combinatorial Optimization / 10.6:
The Spectral Gap and Convergence of Markov Chains / 11:
Eigenvalues of Markov Kernels / 11.1:
Geometric Convergence Rates / 11.2:
Eigenvalues, Sampling, Variance Reduction / 12:
Samplers and Their Eigenvalues / 12.1:
Variance Reduction / 12.2:
Importance Sampling / 12.3:
Continuous Time Processes / 13:
Discrete State Space / 13.1:
Continuous State Space / 13.2:
Texture Analysis / Part V:
Partitioning / 14:
How to Tell Textures Apart / 14.1:
Bayesian Texture Segmentation / 14.2:
Segmentation by a Boundary Model / 14.3:
Julesz's Conjecture and Two Point Processes / 14.4:
Random Fields and Texture Models / 15:
Neighbourhood Relations / 15.1:
Random Field Texture Models / 15.2:
Texture Synthesis / 15.3:
Bayesian Texture Classification / 16:
Contextual Classification / 16.1:
Marginal Posterior Modes Methods / 16.2:
Parameter Estimation / Part VI:
Maximum Likelihood Estimation / 17:
The Likelihood Function / 17.1:
Objective Functions / 17.2:
Consistency of Spatial ML Estimators / 18:
Observation Windows and Specifications / 18.1:
Pseudolikelihood Methods / 18.2:
Large Deviations and Full Maximum Likelihood / 18.3:
Partially Observed Data / 18.4:
Computation of Pull ML Estimators / 19:
A Naive Algorithm / 19.1:
Stochastic Optimization for the Full Likelihood / 19.2:
Main Results / 19.3:
Error Decomposition / 19.4:
Supplement / 19.5:
A Glance at Neural Networks / 20:
Boltzmann Machines / 20.1:
A Learning Rule / 20.2:
Three Applications / 21:
Motion Analysis / 21.1:
Tomographic Image Reconstruction / 21.2:
Biological Shape / 21.3:
Appendix / Part VIII:
Simulation of Random Variables / A:
Pseudorandom Numbers / A.1:
Discrete Random Variables / A.2:
Special Distributions / A.3:
Analytical Tools / B:
Concave Functions / B.1:
Convergence of Descent Algorithms / B.2:
A Discrete Gronwall Lemma / B.3:
A Gradient System / B.4:
Physical Imaging Systems / C:
The Software Package AntsInFields / D:
References
Symbols
Index
Introduction
Bayesian Image Analysis: Introduction / Part I:
The Bayesian Paradigm / 1:
2.

図書

図書
Gerhard Winkler
出版情報: Berlin ; New York : Springer-Verlag, c1995  xiv, 324 p. ; 24 cm
シリーズ名: Applications of mathematics ; 27
所蔵情報: loading…
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