Graphical Models: Representations for Learning, Reasoning and Data Mining / Edition 2

Graphical Models: Representations for Learning, Reasoning and Data Mining / Edition 2

by Christian Borgelt
Pub. Date:

Hardcover - Rent for

Select a Purchase Option (Second Edition)
  • purchase options
    $101.59 $137.00 Save 26% Current price is $101.59, Original price is $137. You Save 26%.
  • purchase options


Graphical Models: Representations for Learning, Reasoning and Data Mining / Edition 2

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.

Product Details

ISBN-13: 9780470722107
Publisher: Wiley
Publication date: 10/12/2009
Series: Wiley Series in Computational Statistics Series , #704
Edition description: Second Edition
Pages: 404
Product dimensions: 6.20(w) x 9.10(h) x 1.00(d)

Table of Contents


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.



Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews