Please use this identifier to cite or link to this item: https://doi.org/10.1007/978-3-540-87987-9_35
Title: Numberings optimal for learning
Authors: Jain, S. 
Stephan, F. 
Issue Date: 2008
Source: Jain, S.,Stephan, F. (2008). Numberings optimal for learning. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 5254 LNAI : 434-448. ScholarBank@NUS Repository. https://doi.org/10.1007/978-3-540-87987-9_35
Abstract: This paper extends previous studies on learnability in non-acceptable numberings by considering the question: for which criteria which numberings are optimal, that is, for which numberings it holds that one can learn every learnable class using the given numbering as hypothesis space. Furthermore an effective version of optimality is studied as well. It is shown that the effectively optimal numberings for finite learning are just the acceptable numberings. In contrast to this, there are non-acceptable numberings [3] which are optimal for finite learning and effectively optimal for explanatory, vacillatory and behaviourally correct learning. The numberings effectively optimal for explanatory learning are the K-acceptable numberings. A similar characterization is obtained for the numberings which are effectively optimal for vacillatory learning. Furthermore, it is studied which numberings are optimal for one and not for another criterion: among the criteria of finite, explanatory, vacillatory and behaviourally correct learning all separations can be obtained; however every numbering which is optimal for explanatory learning is also optimal for consistent learning. © 2008 Springer-Verlag Berlin Heidelberg.
Source Title: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
URI: http://scholarbank.nus.edu.sg/handle/10635/43290
ISSN: 03029743
DOI: 10.1007/978-3-540-87987-9_35
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