Intrinsic Complexity of Partial Learning

Authors

Sanjay Jain, National University of Singapore
Efim Kinber, Sacred Heart UniversityFollow

Document Type

Book Chapter

Publication Date

2016

Abstract

A partial learner in the limit, given a representation of the target language (a text), outputs a sequence of conjectures, where one correct conjecture appears infinitely many times and other conjectures each appear a finite number of times. Following, we define intrinsic complexity of partial learning, based on reducibilities between learning problems. Although the whole class of recursively enumerable languages is partially learnable and, thus, belongs to the complete learnability degree, we discovered a rich structure of incomplete degrees, reflecting different types of learning strategies (based, to some extent, on topological structures of the target language classes). We also exhibit examples of complete classes that illuminate the character of the strategies for partial learning of the hardest classes.

Comments

Supported by a University Research and Creativity Grant from Sacred Heart University.

DOI

10.1007/978-3-319-46379-7_12

Recommended Citation

Jain, S., Kinber, E. (2016). Intrinsic complexity of partial learning. In R. Ortner (Ed.), Hans U.S. (Ed.), Sandra Z. (Ed.), Algorithmic learning theory (pp. 174-188). Springer.