Back to Search
Start Over
PAC learning, VC dimension, and the arithmetic hierarchy.
- Source :
- Archive for Mathematical Logic; Nov2015, Vol. 54 Issue 7/8, p871-883, 13p
- Publication Year :
- 2015
-
Abstract
- We compute that the index set of PAC-learnable concept classes is m-complete $${\Sigma^{0}_{3}}$$ within the set of indices for all concept classes of a reasonable form. All concept classes considered are computable enumerations of computable $${\Pi^{0}_{1}}$$ classes, in a sense made precise here. This family of concept classes is sufficient to cover all standard examples, and also has the property that PAC learnability is equivalent to finite VC dimension. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09335846
- Volume :
- 54
- Issue :
- 7/8
- Database :
- Complementary Index
- Journal :
- Archive for Mathematical Logic
- Publication Type :
- Academic Journal
- Accession number :
- 110546626
- Full Text :
- https://doi.org/10.1007/s00153-015-0445-8