Estimation of Dependences Based on Empirical Data / Information Science and Statistics (PDF)
Empirical Inference Science
(Sprache: Englisch)
Twenty-?ve years have passed since the publication of the Russian version of the book Estimation of Dependencies Based on Empirical Data (EDBED for short). Twen- ?ve years is a long period of time. During these years many things have happened. Looking back,...
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Twenty-?ve years have passed since the publication of the Russian version of the book Estimation of Dependencies Based on Empirical Data (EDBED for short). Twen- ?ve years is a long period of time. During these years many things have happened. Looking back, one can see how rapidly life and technology have changed, and how slow and dif?cult it is to change the theoretical foundation of the technology and its philosophy. I pursued two goals writing this Afterword: to update the technical results presented in EDBED (the easy goal) and to describe a general picture of how the new ideas developed over these years (a much more dif?cult goal). The picture which I would like to present is a very personal (and therefore very biased) account of the development of one particular branch of science, Empirical - ference Science. Such accounts usually are not included in the content of technical publications. I have followed this rule in all of my previous books. But this time I would like to violate it for the following reasons. First of all, for me EDBED is the important milestone in the development of empirical inference theory and I would like to explain why. S- ond, during these years, there were a lot of discussions between supporters of the new 1 paradigm (now it is called the VC theory ) and the old one (classical statistics).
Inhaltsverzeichnis zu „Estimation of Dependences Based on Empirical Data / Information Science and Statistics (PDF)“
The problem of estimating dependences from empirical data.- Methods of expected-risk minimization.- Methods of parametric statistics for the pattern recognition problem.- Methods of parametric statistics for the problem of regression estimation.- Estimation of regression parameters.- A method of minimizing empirical risk for the problem of pattern recognition.- A method of minimizing empirical risk for the problem of regression estimation.- The method of structural minimization of risk.- Solution of ill-posed problems, interpretation of measurements using the method of structural risk minimization.- Estimation of functional values at given points.- Realism and instrumentalism: Classical statistics and the VC theory (1960-1980).- Falsifiability and parsimony: VC dimension and the number of entities (1980-2000).- Non-inductive methods of inference: Direct inference instead of generalization (2000- ...).- The big picture.
Bibliographische Angaben
- Autor: V. Vapnik
- 2006, 1st ed. 1982. Reprint 2006, 505 Seiten, Englisch
- Übersetzer: S. Kotz
- Verlag: Springer-Verlag GmbH
- ISBN-10: 0387342397
- ISBN-13: 9780387342399
- Erscheinungsdatum: 28.09.2006
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- Dateiformat: PDF
- Größe: 0.90 MB
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Sprache:
Englisch
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