Zielonogórska Biblioteka Cyfrowa udostępnia 67 394 obiektów cyfrowych
Obiekt
Tytuł: Probabilities of discrepancy between minima of cross-validation, vapnik bounds and true risks
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, Volume 20, Number 3 (2010) ; kliknij tutaj, żeby przejść
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2010)
Data ostatniej modyfikacji:
14 lip 2025
Data dodania obiektu:
14 sie 2018
Liczba wyświetleń treści obiektu:
270
Wszystkie dostępne wersje tego obiektu:
https://www.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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| Nazwa wydania | Data |
|---|---|
| Probabilities of discrepancy between minima of cross-validation, vapnik bounds and true risks | 14 lip 2025 |
Obiekty Podobne
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Jaworski, Maciej Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Ardakani, Mostafa Kamali Noorossana, Rassoul Niaki, Seyed Taghi Akhavan Lahijanian, Homayoun Korbicz, Józef (1951- ) - ed.
Łęski, Jacek M. Czogała, Tomasz Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Łęski, Jacek M. Rutkowska, Danuta - ed. Kacprzyk, Janusz - ed. Zadeh, Lotfi A. - ed.
Łęski, Jacek M. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Kantavat, Pittipol Kijsirikul, Boonserm Songsiri, Patoomsiri Fukui, Ken-Ichi Numao, Masayuki Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
