Some natural conditions on incremental learning

The present study aims at insights into the nature of incremental learning in the context of Gold’s model of identification in the limit. With a focus on natural requirements such as consistency and conservativeness, incremental learning is analysed both for learning from positive examples and for learning from positive and negative examples. The results obtained illustrate in which way different consistency and conservativeness demands can affect the capabilities of incremental learners. These results may serve as a first step towards characterising the structure of typical classes learnable incrementally and thus towards elaborating uniform incremental learning methods.

Authors

• Sanjay Jain
• Steffen Lange
• Sandra Zilles University of Regina

Keywords

• Inductive inference
• Iterative learning
• Formal languages
• Recursion theory