Digital Library of Zielona Góra contains 65 391 digital objects
Object
Title: Probabilities of discrepancy between minima of cross-validation, vapnik bounds and true risks
Współtwórca:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Tytuł publikacji grupowej:
Abstract:
Two known approaches to complexity selection are taken under consideration: n-fold cross-validation and structural risk minimization. Obviously, in either approach, a discrepancy between the indicated optimal complexity (indicated as the minimum of a generalization error estimate or a bound) and the genuine minimum of unknown true risks is possible. In the paper, this problem is posed in a novel quantitative way. ; We state and prove theorems demonstrating how one can calculate pessimistic probabilities of discrepancy between these minima for given for given conditions of an experiment. The probabilities are calculated in terms of all relevant constants: the sample size, the number of cross-validation folds, the capacity of the set of approximating functions and bounds on this set. We report experiments carried out to validate the results.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
DOI:
Strony:
Źródło:
AMCS, Volume 20, Number 3 (2010) ; click here to follow the link
Jezyk:
Licencja CC BY 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Typy utworów > Artykuły
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2010)
Last modified:
14 lip 2025
In our library since:
14 sie 2018
Number of object content hits:
214
All available object's versions:
https://zbc.uz.zgora.pl/publication/54966
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20, number 1 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20, number 2 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20, number 3 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20, number 4 (2010)
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| Edition name | Date |
|---|---|
| Probabilities of discrepancy between minima of cross-validation, vapnik bounds and true risks | 14 lip 2025 |
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