The Nature of Statistical Learning Theory
Vladimir Vapnik, Springer, 1995 |
This book discusses the fundamental ideas underlying
the statistical theory of learning and generalization.
The author concentrates on the main results and implications
of learning theory, instead of proofs and technical details.
Written in a readable and concise style, the book is intended
as an introduction to the subject of statistical learning
for mathematicians, statisticians, physicists and computer
scientists.
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The subjects covered include:
- setting learning problems based on the general model
of minimising the risk function from empirical data;
- comprehensive analysis of the empirical risk minimisation
principle;
- non-asymptotic bonds for the risk achieved using
the empirical risk minimisation principle;
- principles for controlling the the generalization
ability of learning machines using small sample sizes
based on these bounds;
- a new type of universal learning machine to control
the generalization ability.
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