Expert Systems and Probabilistic Network Models
Artificial intelligence and expert systems have seen a great deal of research in recent years, much of which has been devoted to methods for incorporating uncertainty into models. This book is devoted to providing a thorough and up-to-date survey of this field for researchers and students
Main Authors: | , , |
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer New York
1997, 1997
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Edition: | 1st ed. 1997 |
Series: | Monographs in Computer Science
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 7.7 Conditionally Specified Probabilistic Models
- Exercises
- 8 Exact Propagation in Probabilistic Network Models
- 8.1 Introduction
- 8.2 Propagation of Evidence
- 8.3 Propagation in Polytrees
- 8.4 Propagation in Multiply-Connected Networks
- 8.5 Conditioning Method
- 8.6 Clustering Methods
- 8.7 Propagation Using Join Trees
- 8.8 Goal-Oriented Propagation
- 8.9 Exact Propagation in Gaussian Networks
- Exercises
- 9 Approximate Propagation Methods
- 9.1 Introduction
- 9.2 Intuitive Basis of Simulation Methods
- 9.3 General Frame for Simulation Methods
- 9.4 Acceptance-Reject ion Sampling Method
- 9.5 Uniform Sampling Method
- 9.6 The Likelihood Weighing Sampling Method
- 9.7 Backward-Forward Sampling Method
- 9.8 Markov Sampling Method
- 9.9 Systematic Sampling Method
- 9.10 Maximum Probability Search Method
- 9.11 Complexity Analysis
- Exercises
- 10 Symbolic Propagation of Evidence
- 10.1 Introduction
- 10.2 Notation and Basic Framework
- 12.5 Damage of Concrete Structures: The Gaussian Model
- Exercises
- List of Notation
- References
- 10.3 Automatic Generation of Symbolic Code
- 10.4 Algebraic Structure of Probabilities
- 10.5 Symbolic Propagation Through Numeric Computations
- 10.6 Goal-Oriented Symbolic Propagation
- 10.7 Symbolic Treatment of Random Evidence
- 10.8 Sensitivity Analysis
- 10.9 Symbolic Propagation in Gaussian Bayesian Networks
- Exercises
- 11 Learning Bayesian Networks
- 11.1 Introduction
- 11.2 Measuring the Quality of a Bayesian Network Model
- 11.3 Bayesian Quality Measures
- 11.4 Bayesian Measures for Multinomial Networks
- 11.5 Bayesian Measures for Multinormal Networks
- 11.6 Minimum Description Length Measures
- 11.7 Information Measures
- 11.8 Further Analyses of Quality Measures
- 11.9 Bayesian Network Search Algorithms
- 11.10 The Case of Incomplete Data
- Appendix to Chapter 11: Bayesian Statistics
- Exercises
- 12 Case Studies
- 12.1 Introduction
- 12.2 Pressure Tank System
- 12.3 Power Distribution System
- 12.4 Damage of Concrete Structures
- 4.4 Characteristics of Directed Graphs
- 4.5 Triangulated Graphs
- 4.6 Cluster Graphs
- 4.7 Representation of Graphs
- 4.8 Some Useful Graph Algorithms
- Exercises
- 5 Building Probabilistic Models
- 5.1 Introduction
- 5.2 Graph Separation
- 5.3 Some Properties of Conditional Independence
- 5.4Special Types of Input Lists
- 5.5 Factorizations of the JPD
- 5.6 Constructing the JPD
- Appendix to Chapter 5
- Exercises
- 6 Graphically Specified Models
- 6.1 Introduction
- 6.2 Some Definitions and Questions
- 6.3 Undirected Graph Dependency Models
- 6.4 Directed Graph Dependency Models
- 6.5 Independence Equivalent Graphical Models
- 6.6 Expressiveness of Graphical Models
- Exercises
- 7 Extending Graphically Specified Models
- 7.1 Introduction
- 7.2 Models Specified by Multiple Graphs
- 7.3 Models Specified by Input Lists
- 7.4 Multifactorized Probabilistic Models
- 7.5 Multifactorized Multinomial Models
- 7.6 Multifactorized Normal Models
- Preface
- 1 Introduction
- 1.1 Introduction
- 1.2 What Is an Expert System?
- 1.3 Motivating Examples
- 1.4 Why Expert Systems?
- 1.5 Types of Expert System
- 1.6 Components of an Expert System
- 1.7 Developing an Expert System
- 1.8 Other Areas of AI
- 1.9 Concluding Remarks
- 2 Rule-Based Expert Systems
- 2.1 Introduction
- 2.2 The Knowledge Base
- 2.3 The Inference Engine
- 2.4 Coherence Control
- 2.5 Explaining Conclusions
- 2.6 Some Applications
- 2.7 Introducing Uncertainty
- Exercises
- 3 Probabilistic Expert Systems
- 3.1 Introduction
- 3.2 Some Concepts in Probability Theory
- 3.3 Generalized Rules
- 3.4 Introducing Probabilistic Expert Systems
- 3.5 The Knowledge Base
- 3.6 The Inference Engine
- 3.7 Coherence Control
- 3.8 Comparing Rule-Based and Probabilistic Expert Systems
- Exercises
- 4 Some Concepts of Graphs
- 4.1 Introduction
- 4.2 Basic Concepts and Definitions
- 4.3 Characteristics of Undirected Graphs