Graphical Models by Christian Borgelt

Presenting an introduction and overview to learning relational, probabilistic, and possibilistic networks from data, this text provides the background material, including modelling under uncertainty, decomposition of distributions, graphical representation of distributions, and applications relating to graphical models and problems for research. Top page

Complete description

Graphical models are of increasing importance in applied statistics, and in particular in data mining. Providing a self-contained introduction and overview to learning relational, probabilistic, and possibilistic networks from data, this second edition of "Graphical Models" is thoroughly updated to include the latest research in this burgeoning field, including a new chapter on visualization. The text provides graduate students, and researchers with all the necessary background material, including modelling under uncertainty, decomposition of distributions, graphical representation of distributions, and applications relating to graphical models and problems for further research. Top page

General info

Publisher & Imprint: Wiley-Blackwell (an imprint of John Wiley & Sons Ltd)

City: Chicester

Pages: 408

More info: height 250 mm width 150 mm weight 666 gr

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Age recommended: Professional and scholarly

Summary Graphical Models Preface 1 Introduction 1.1 Data and Knowledge 1.2 Knowledge Discovery and Data Mining 1.3 Graphical Models 1.4 Outline of this Book 2 Imprecision and Uncertainty 2.1 Modeling Inferences 2.2 Imprecision and Relational Algebra 2.3 Uncertainty and Probability Theory 2.4 Possibility Theory and the Context Model 3 Decomposition 3.1 Decomposition and Reasoning 3.2 Relational Decomposition 3.3 Probabilistic Decomposition 3.4 Possibilistic Decomposition 3.5 Possibility versus Probability 4 Graphical Representation 4.1 Conditional Independence Graphs 4.2 Evidence Propagation in Graphs 5 Computing Projections 5.1 Databases of Sample Cases 5.2 Relational and Sum Projections 5.3 Expectation Maximization 5.4 Maximum Projections 6 Naive Classifiers 6.1 Naive Bayes Classifiers 6.2 A Naive Possibilistic Classifier 6.3 Classifier Simplification 6.4 Experimental Evaluation 7 Learning Global Structure 7.1 Principles of Learning Global Structure 7.2 Evaluation Measures 7.3 Search Methods 7.4 Experimental Evaluation 8 Learning Local Structure 8.1 Local Network Structure 8.2 Learning Local Structure 8.3 Experimental Evaluation 9 Inductive Causation 9.1 Correlation and Causation 9.2 Causal and Probabilistic Structure 9.3 Faithfulness and Latent Variables 9.4 The Inductive Causation Algorithm 9.5 Critique of the Underlying Assumptions 9.6 Evaluation 10 Visualization 10.1 Potentials 10.2 Association Rules 11 Applications 11.1 Diagnosis of Electrical Circuits 11.2 Application in Telecommunications 11.3 Application at Volkswagen 11.4 Application at DaimlerChrysler A Proofs of Theorems A.1 Proof of Theorem 4.1.2 A.2 Proof of Theorem 4.1.18 A.3 Proof of Theorem 4.1.20 A.4 Proof of Theorem 4.1.26 A.5 Proof of Theorem 4.1.28 A.6 Proof of Theorem 4.1.30 A.7 Proof of Theorem 4.1.31 A.8 Proof of Theorem 5.4.8 A.9 Proof of Lemma .2.2 A.10 Proof of Lemma .2.4 A.11 Proof of Lemma .2.6 A.12 Proof of Theorem 7.3.1 A.13 Proof of Theorem 7.3.2 A.14 Proof of Theorem 7.3.3 A.15 Proof of Theorem 7.3.5 A.16 Proof of Theorem 7.3.7 B Software Tools Bibliography Index Top page

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