Martin Anthony

Neural Network Learning (eBook, PDF)

Theoretical Foundations

• Format: PDF

Produktbeschreibung

This book describes theoretical advances in the study of artificial neural networks. It explores probabilistic models of supervised learning problems, and addresses the key statistical and computational questions. Research on pattern classification with binary-output networks is surveyed, including a discussion of the relevance of the Vapnik-Chervonenkis dimension, and calculating estimates of the dimension for several neural network models. A model of classification by real-output networks is developed, and the usefulness of classification with a 'large margin' is demonstrated. The authors explain the role of scale-sensitive versions of the Vapnik-Chervonenkis dimension in large margin classification, and in real prediction. They also discuss the computational complexity of neural network learning, describing a variety of hardness results, and outlining two efficient constructive learning algorithms. The book is self-contained and is intended to be accessible to researchers and graduate students in computer science, engineering, and mathematics.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 4. November 1999
• Englisch
• ISBN-13: 9780511822902
• Artikelnr.: 41939446

Inhaltsangabe

1. Introduction
Part I. Pattern Recognition with Binary-output Neural Networks: 2. The pattern recognition problem
3. The growth function and VC-dimension
4. General upper bounds on sample complexity
5. General lower bounds
6. The VC-dimension of linear threshold networks
7. Bounding the VC-dimension using geometric techniques
8. VC-dimension bounds for neural networks
Part II. Pattern Recognition with Real-output Neural Networks: 9. Classification with real values
10. Covering numbers and uniform convergence
11. The pseudo-dimension and fat-shattering dimension
12. Bounding covering numbers with dimensions
13. The sample complexity of classification learning
14. The dimensions of neural networks
15. Model selection
Part III. Learning Real-Valued Functions: 16. Learning classes of real functions
17. Uniform convergence results for real function classes
18. Bounding covering numbers
19. The sample complexity of learning function classes
20. Convex classes
21. Other learning problems
Part IV. Algorithmics: 22. Efficient learning
23. Learning as optimisation
24. The Boolean perceptron
25. Hardness results for feed-forward networks
26. Constructive learning algorithms for two-layered networks.